Statistical charts and diagrams — Paper 3 · IGCSE Mathematics 0580

3 For Examiner's Use Monday Tuesday Wednesday Thursday Friday Saturday Sunday Minimum temperature 4 6 0 −2 −4 2 oC Maximum temperature 8 10 5 7 2 7 oC The table shows the minimum and maximum temperatures on six days of a week. (a) (i) On Sunday the minimum temperature was 5 °C lower than on Saturday. The maximum temperature was 2 °C higher than on Saturday. Use this information to complete the table. [2] (ii) Find the difference between the minimum and maximum temperatures on Thursday. Answer(a)(ii) oC [1] (b) Use the table to complete the graphs below for all seven days. 10 Maximum temperature 8 6 4 Temperature oC 2 0 Monday Tuesday Wednesday Thursday Friday Saturday Sunday –2 Minimum temperature –4 –6 [2] (c) Use your graphs to find For (i) on how many days the temperature fell below −1 °C, Examiner's Use Answer(c)(i) [1] (ii) which day had the largest difference between minimum and maximum temperatures. Answer(c)(ii) [1] (d) The formula for changing degrees Celsius (C) to degrees Fahrenheit (F) is 9C F = + 32 . 5 Use the formula to change 6 degrees Celsius to degrees Fahrenheit. Show all your working. Answer(d) [2]

9 marks

Mark scheme: 3 (a) (i) –3 1 9 1 (ii) 9 1 ignore minus sign (b) correct max drawn 1 f.t. } f.t. is from (a)(i) [Sunday] correct min drawn 1 f.t. } allow Sunday (only) to be 1 square out horizontally } allow freehand straight lines IGCSE – JUNE 2005 0580/0581 3 (c) (i) 3 1 f.t. f.t. is 3 if Sunday negative otherwise 2 allow 3 out of 7 (ii) Sunday 1 f.t. f.t. if not Sunday is Thursday (d) 42.8 2 M1 for 9 x 6/5 + 32 or better e.g. 54/5 + 32, 10.8 + 32 answer of 43 is M1 implied 9

This question in 0580/31 May/June 2005

3 Marie counts the number of people in each of 60 cars one morning. For Examiner's (a) She records the first 40 results as shown below. Use Number of people in a car Tally Number of cars 1 2 3 4 5 6 The remaining 20 results are 2, 2, 5, 2, 2, 4, 2, 6, 5, 3, 4, 5, 4, 6, 2, 5, 3, 2, 1, 6. (i) Use these results to complete the frequency table above. [2] (ii) On the grid below, draw a bar chart to show the information for the 60 cars. 20 18 16 14 12 Number 10 of cars 8 6 4 2 0 1 2 3 4 5 6 Number of people in a car [1] (iii) Write down the mode. For Examiner's Answer(a)(iii) [1] Use (iv) Find the median. Answer(a)(iv) [1] (v) Work out the mean. Answer(a)(v) [3] (b) Manuel uses Marie’s results to draw a pie chart. Work out the sector angle for the number of cars with 5 people. Answer(b) [2]

10 marks

Mark scheme: 3 (a) (i) 6,17,8,9,11,9 B2 B1 for 4 or 5 correct or for all tallies correct (ii) correct bar chart B1ft ft from their frequency table or tallies (iii) 2 B1ft from their table or chart (iv) 3 B1ft from their table or chart B3cao M1 for clear indication of 1x6 + 2x17 + 3x8 + 4x9 + (v) 3.48 5x11 + 6x9 ft imp by 209 M1 dep for ÷ 60 (b) 66º B2ft M1 for "11" ÷ 60 x 360 or "11" x 6 [10] IGCSE – May/June 2008 0580/0581 03

This question in 0580/31 May/June 2008

8 The table below shows the age and price of 20 used cars in a showroom. For Examiner's Use Age (years) 6 5 4 5 4 5 1 6 3 8 Price ($) 1800 7600 9500 2500 4100 3100 5600 4700 4800 7900 Age (years) 1 2 9 10 3 7 1 8 2 3 Price ($) 6500 7000 1000 3800 1900 5200 3400 2100 4300 8200 (a) Use this information to complete the following table. Age of cars (years) Number of cars Angle in a pie chart 1 to 3 8 144° 4 to 6 7 7 or more [3] (b) (i) Complete the frequency table for the price, $x, of the cars. Price ($) 0 Y x < 2000 2000 Y x < 4000 4000 Y x < 6000 6000 Y x < 8000 8000 Y x < 10 000 Frequency [2] (ii) Draw a histogram to show this information. 6 Frequency 5 4 3 2 1 0 2000 4000 6000 8000 10 000 Price of car ($) [2] (c) (i) On the grid below complete the scatter diagram showing the age and price of each car. For Examiner's The first 10 points from the original table have been plotted. Use 10 000 9000 8000 7000 6000 Price of car 5000 ($) 4000 3000 2000 1000 0 1 2 3 4 5 6 7 8 9 10 Age of car (years) [3] (ii) What correlation is there between the price of a car and its age? Answer(c)(ii) [1] (iii) A car is chosen at random. Using your scatter diagram, find the probability that the car is more than 4 years old and the price is more than $5000. Answer(c)(iii) [2] Question 9 is on the next page

13 marks

Mark scheme: 8 (a) 5, 1 126, 90 1, 1 SC1 for both angles incorrect but totalling 216°. W1 for 3 or 4 correct or left as tallies and all (b) (i) 3, 5, 6, 4, 2 2 correct. W1 for only 1 incorrect (ii) Blocks ‘correct’ heights 2ft SC1 All correct but small gaps between or full No gaps. horizontal lines only (c) (i) 10 points plotted correctly 3 W2 for 8 or 9 correct W1 for 6 or 7 correct On vertical age line (±1 mm) and between (or on) correct horizontal lines. (ii) Zero oe 1 (allow weak (slight) negative) (iii) 3 oe or 0.15 or 15% 2ft Ft numerator only 20 W1 for their3 k ≥ 3 k

This question in 0580/31 May/June 2009

3 For Examiner's Month Total rainfall (mm) Average daily sunshine (hours) Use January 79 6 February 84 7 March 62 4.5 April 46 1.5 May 53 3.5 June 54 1.5 The table shows some data about rainfall and sunshine. (a) For the rainfall, calculate (i) the mean, Answer(a)(i) mm [2] (ii) the range. Answer(a)(ii) mm [1] (b) For the sunshine, find (i) the mode, Answer(b)(i) h [1] (ii) the median. Answer(b)(ii) h [2] (c) Dinesh draws a pie chart to display the rainfall data. Calculate the sector angle for February. Answer(c) [2] (d) Amalia draws a pictogram to display the sunshine data for January and February. For Examiner's Use January February March (i) Complete the key for the pictogram. represents [1] (ii) Complete the pictogram for March. [1] (e) Priya draws a scatter diagram to find the correlation between rainfall and sunshine for January to June. (i) Complete the scatter diagram below. January and February are plotted for you. 90 80 70 Total rainfall (mm) 60 50 40 0 1 2 3 4 5 6 7 Average daily sunshine (hours) [2] (ii) What type of correlation does the scatter diagram show? Answer(e)(ii) [1]

13 marks

Mark scheme: 3 (a) (i) 63 2 M1 for their “378” ÷ 6 or SC1 for 333 seen (ii) 38 cao 1 (b) (i) 1.5 cao 1 (ii) 4 2 B1 for attempt to order the numbers (c) 80° 2 M1 for 84 ÷ their total × 360 (d) (i) 1 hour 1 (ii) 4 and a half more suns drawn 1 Condone size, shape of suns (e) (i) 4 correct plots 2 B1 for 3 or 2 correct (ii) Positive 1 IGCSE – October/November 2010 0580 31

This question in 0580/31 Oct/Nov 2010

3 Kim left school at 15 30 to walk home. For On the way home he remembered he had left a book at school. Examiner's He ran back to school and arrived at 16 04. Use The travel graph shows his journey. School 4 3.5 3 2.5 Distance 2 (km) 1.5 1 0.5 Home 0 15 30 15 40 15 50 16 00 16 10 16 20 16 30 16 40 16 50 17 00 Time (a) Use the graph to answer the following questions. (i) At what time did Kim start to run back to school? Answer(a)(i) [1] (ii) How far was he from school at this time? Answer(a)(ii) km [1] (iii) How many minutes did he take to run back to school? Answer(a)(iii) min [1] (iv) What was his speed, in kilometres per hour, on his journey back to school? Answer(a)(iv) km/h [3] (b) Kim spent 6 minutes at school collecting his book. For He then walked home at a speed of 6 km/h. Examiner's Use (i) Complete the travel graph. [3] (ii) At what time did Kim arrive home? Answer(b)(ii) [1] (c) Kim’s sister, Julie, left the school at 15 48. She walked at a steady speed, without stopping, and arrived home 46 minutes later. (i) On the grid, draw the travel graph of Julie’s journey home from school. [2] (ii) Complete the sentence. arrived home first by minutes. [1]

13 marks

Mark scheme: 3 (a) (i) 15 50 cao 1 (ii) 1.6 (km) cao 1 (iii) 14 (mins) cao 1 (iv) art 6.86 (km/h) 3ft M1 for ‘1.6’ ÷ ‘14’ and M1ind for ‘14’ ÷ 60 soi (b) (i) (16 04, 4) to (16 10, 4) 1 Line must be horizontal (‘16 10’, 4) to (‘16 50’, 0) 2ft M1 for dealing with the time 4 ÷ 6 × 60 ft for a time period of 40 minutes only (ii) 16 50 1ft ft their time at home (c) (i) Straight line from 15 48 to 16 34 2 B1 for one end correct or both correct and line missing or not straight (ii) 16 1ft ft their time difference on x-axis

This question in 0580/32 Oct/Nov 2010

8 (a) The results of 24 games of hockey played by a school team in one year are shown in the pie For chart below. Examiner's Use Drawn Won Lost (i) Show that the school team won 10 games during the year. Answer(a)(i) [2] (ii) Find how many games were lost and how many games were drawn. Answer(a)(ii) Lost Drawn [3] (b) The number of goals scored by the hockey team in each of the 24 games are shown below. For Examiner's Use 0 2 1 1 0 3 2 5 3 0 2 3 2 1 4 0 2 1 2 1 0 1 4 1 (i) Complete the frequency table below. You may use the tally column to help you. Number of goals per game Tally Number of games 0 1 2 3 4 5 [2] (ii) Write down the mode. Answer(b)(ii) [1] (iii) Find the median. Answer(b)(iii) [2] (iv) Calculate the mean number of goals per game. Answer(b)(iv) [3]

13 marks

Mark scheme: 8 (a) (i) 150 ÷ 360 × 24 (= 10) 2 M1 for their ‘150’ ÷ 360 × 24 or B1 for 150 (ii) (lost) 8, (drawn) 6 3 B1 for 120 or 90 seen and M1 for ‘120’ ÷ 360 × 24 or ‘90’ ÷ 360 × 24 (b) (i) 5, 7, 6, 3, 2, 1 2 B1 for 5 correct or 4 correct with total 24 or SC1 if only tallies seen (all must be correct) (ii) 1 1ft ft their table (iii) 1.5 2 M1 for evidence of attempt at middle value (iv) 1.7 or 1.71 or 1.70(8…) cao 3 M1 for 0 × ‘5’ + 1 × ‘7’ + 2 × ‘6’ + 3 × ‘3’ + 4 × ‘2’ + 5 × ‘1’ and M1dep division by 24

This question in 0580/32 Oct/Nov 2010

1 For 10 Examiner's Use 9 8 7 6 Frequency 5 4 3 2 1 0 0 1 2 3 4 5 6 Number of children The number of children in each of 40 families was recorded. The bar chart shows the results. (a) Complete the frequency table. Number of children 0 1 2 3 4 5 6 Frequency 4 6 [3] (b) Find (i) the mode, Answer(b)(i) [1] (ii) the median, Answer(b)(ii) [2] (iii) the mean. For Examiner's Use Answer(b)(iii) [3] (c) A pie chart showing the information has been started. (i) Calculate the angles of the sectors for 3 and 4 children. Answer(c)(i) , [3] (ii) Complete the pie chart accurately. 1 child 2 children 0 children 6 children 5 children [1]

13 marks

Mark scheme: Qu. Answers Mark Part Marks 1 (a) 10, 9, 5, 5, 1 3 B2 for 4 correct, B1 for 3 correct (b) (i) 2 1 (ii) 2.5 2 M1 for evidence of finding mid-value of 20 pieces of data (iii) 2.6 3 M1 for evidence of ∑fx then M1dep for ÷ 40 (c) (i) 81 or 45 2ft ft their 9 or their 5 M1 for their 9 or their 5 ÷ 40 × 360 45 or 81 1ft Correct or ft 126 – their first angle (ii) Correct angles of 81° and 45° 1ft ft only if add up to 126

This question in 0580/33 Oct/Nov 2010

3 The colours of 30 cars in a car park are shown in the frequency table. For Examiner's Use Colour Frequency Red 5 Silver 15 Black 6 White 4 (a) Complete the bar chart to represent this information. Frequency Red Silver Black White Colour [3] (b) Write down the mode. Answer(b) [1]

4 marks

Mark scheme: 3 (a) Scale shown on axis in 2s or 4s or 5s 1 Bars correct for their linear scale 2ft B1 for 3 bars correct or B1 for 4 correct tops only shown, B0 for line graph allow consistent gaps between bars (b) Silver 1

This question in 0580/32 May/June 2011

1 (a) Write twenty five million in figures. For Examiner's Answer(a) [1] Use (b) Write the following in order of size, starting with the smallest. 2 65% 0.6 3 Answer(b) I I [1] (c) In a sale a coat costing $250 is reduced to $200. Find the percentage decrease in the cost. Answer(c) % [3] (d) Basketball NOT TO SCALE 90° 150° Football Tennis 120 students are asked to choose their favourite sport. The results are shown in the pie chart. Calculate the number of students who chose (i) basketball, Answer(d)(i) [1] (ii) football. Answer(d)(ii) [2]

8 marks

Mark scheme: Qu. Answers Mark Part Marks 1 (a) 25 000 000 cao 1 2 (b) 0.6 < 65% < 1 3 their 50 (c) 20% 3 B1 for 50 seen M1 for × 100 250 or B1 for 0.8 or 80 seen M1 for 1 – their 0.8 or 100 – their 80 (d) (i) 30 1 (ii) 40 2 M1 for 360 – (90 + 150) implied by 120 seen

This question in 0580/31 Oct/Nov 2011

8 The table shows the average temperature and rainfall each month at Wellington airport. For Examiner's Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Use Temperature 18 18 17 14 12 10 9 10 11 13 15 16 (°C) Rainfall 67 48 76 87 99 113 111 106 82 81 74 74 (mm) (a) Complete the bar chart to show the temperature each month. 20 18 16 14 12 Temperature 10 (°C) 8 6 4 2 0 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Month [2] (b) For the rainfall calculate (i) the mean, Answer(b)(i) mm [2] (ii) the median. Answer(b)(ii) mm [2] (c) In the scatter diagram the rainfall for January to April is plotted against temperature. For Examiner's Use 120 115 110 105 100 95 90 85 Rainfall 80 (mm) 75 70 65 60 55 50 45 40 8 9 10 11 12 13 14 15 16 17 18 19 20 Temperature (°C) (i) Complete the scatter diagram by plotting the values for the months May to December. [3] (ii) Draw the line of best fit on the scatter diagram. [1] (iii) What type of correlation does the scatter diagram show? Answer(c)(iii) [1]

11 marks

Mark scheme: 8 (a) heights 11, 13, 15, 16 2 B1 for 3 correct (b) (i) 84.8(3…) 2 M1 addition of 12 rainfall values (ii) 81.5 2 Either M1 for evidence of ordering values or substantial part of list (at least first 7 or last 7) or M1 for answers of 81 and 82 (c) (i) 8 values correctly plotted P3 P2 for 6 or 7 correct P1 for 4 or 5 correct (ii) Line of best fit 1 Must be continuous and straight (iii) Negative 1 IGCSE – October/November 2011 0580 32

This question in 0580/32 Oct/Nov 2011

5 (a) The colours of the cars at a car centre are red, blue, green, black and white. For The pie chart shows some information about the number of cars of each colour. Examiner's Use Red Blue Green (i) There are 60 red cars. Show that the total number of cars is 270. Answer(a)(i) [2] (ii) Calculate the number of blue cars and the number of green cars. Answer(a)(ii) Blue Green [3] (b) There are 39 black cars. For Examiner's Use (i) Calculate the sector angle in the pie chart for the black cars. Answer(b)(i) [2] (ii) Complete the pie chart. Label each of your sectors. [2] (c) The manager asked 100 people which colour of car they prefer. The results are shown in the table. Red Blue Green Black White 25 40 6 16 13 (i) On the grid, draw a bar chart to show this information. Complete the scale on the frequency axis. Frequency Red Blue Green Black White [3] (ii) The manager uses the results when she orders 900 cars, in these colours, for the next year. How many blue cars do you expect her to order? Answer(c)(ii) [2]

14 marks

Mark scheme: 5 (a) (i) Angle measured 80° B1 60 ÷ their 80° × 360° oe M1 (ii) (Blue) 47, 48 or 49 3 Or 2 for 1 correct or answers transposed (Green) 56, 57 or 58 Or B1 for 64°±1° (blue) or 76°±1° (Green) seen SC2 for 2 decimal answers in range (b) (i) 52° 2 M1 for 39 ÷ 270 × 360 oe (ii) Correct line drawn 52° 1ft Ft if their (b)(i) is less than 140° Correct labels 1ft (c) (i) Bar chart with – vertical axis correctly scaled 1 B1 for linear vertical scale to at least 40 shown – bars of correct and equal 2 B2 for all bars of correct heights and equal width, widths with equal or no gaps – and with equal or no gaps Or B1 for all bars of correct heights but unequal widths/gaps or at least 3 bars of correct heights and equal widths (ii) 360 2 M1 for 9 × 40 or 40/100 × 900 oe IGCSE – October/November 2012 0580 32

This question in 0580/32 Oct/Nov 2012

1 (a) Angelica goes to watch a football match. For She entered the stadium at 19 20 and left at 22 05. Examiner's Use Work out the number of hours and minutes she was in the stadium. Answer(a) hours minutes [1] (b) The number of people watching the football match was 25 926. Write 25 926 correct to the nearest thousand. Answer(b) [1] (c) The football club buys lemonade in 5 litre bottles. Work out the number of 250 millilitre drinks that can be poured from one bottle. Answer(c) [2] (d) The table shows the number of goals scored in each match by Mathsletico Rangers. Number of goals scored Number of matches 0 4 1 11 2 6 3 3 4 2 5 1 6 2 (i) Draw a bar chart to show this information. For Complete the scale on the frequency axis. Examiner's Use Frequency 0 1 2 3 4 5 6 Number of goals scored [3] (ii) Write down the mode. Answer(d)(ii) [1] (iii) Calculate the mean. Answer(d)(iii) [3]

11 marks

Mark scheme: Qu. Part Answers Mark Part Marks 1 (a) 2 hours 45 minutes oe 1 (b) 26 000 1 (c) 20 2 M1 5 ÷ 0.25 or 5000 ÷ 250 (d) (i) fully correct bar chart 3 B1 correctly scaled frequency axis B2 correct height of bars ,width and spaces or B1 correct height of 5 or 6 bars or all bars correct height but unequal widths or gaps (ii) 1 1 (iii) 1.97 (1.9655….) 3 M1 attempt to multiply implied by 0, 11, 12, 9, 8, 5, 12 added implied by 57 M1 dep ft 57 ÷ their 29 or B2 1.96 or 2.103

This question in 0580/33 Oct/Nov 2012

3 Mrs Ali sold her house for $600 000. For Examiner's Use 2 (a) She gives of the money to her son. 5 Work out how much her son receives. Answer(a)$ [1] (b) Mrs Ali gives $2400 to her grandchildren Elize, Sam and Juan in the ratio Elize : Sam : Juan = 8 : 3 : 5 . Calculate how much they each receive. Answer(b) Elize $ Sam $ Juan $ [3] (c) Mrs Ali invests $200 000 for 3 years at a rate of 4% per year compound interest. Calculate the total amount of money she will have at the end of the 3 years. Give your answer correct to the nearest dollar. Answer(c) $ [3] (d) Mrs Ali spends a total of $9000 on the following items. For Examiner's Use Amount spent ($) Angle in pie chart Holiday 4050 162° Television 90° Clothes 1800 72° Computer (i) Complete the table. [3] (ii) Complete the pie chart. Label each of your sectors. Holiday [2]

12 marks

Mark scheme: 3 (a) 240000 1 (b) 1200, 450, 750 3 SC2 for all three correct in wrong order seen SC1 for 2400 ÷ 16 implied by 150 (c) 224973 3 M2 224972.8 or 200000 × 1.043 or 224793.0(0) if M0 M1 200000 × 1.042 or 216320 SC1 for their answer correctly rounded to nearest dollar (d) (i) 2250 1,1,1 If first B0,B0 then SC1 for adding to 3150 900 36 (ii) 2 correct sectors 1 correct labels 1 Must only be 4 sectors in total

This question in 0580/33 Oct/Nov 2012

4 The table shows a summary of the types of employment for 90 people. For Examiner′s Use Employment Frequency Pie chart sector angle Retail 18 72° Leisure industry 12 48° Public service 35 Other 25 (a) (i) Complete the table. [2] (ii) Complete the pie chart and label the sectors. Retail Leisure industry [2] (b) Here are the ages of the people working in the leisure industry. For Examiner′s Use 16 17 19 23 23 24 27 31 33 40 45 56 (i) Work out the range. Answer(b)(i) … years [1] (ii) Calculate the mean. Answer(b)(ii) … years [2] (iii) Sabrina wants to interview someone working in the leisure industry. She chooses one person at random. Write down the probability that the person chosen is under 30 years old. Answer(b)(iii) … [1] _____________________________________________________________________________________

8 marks

Mark scheme: 4 (a) (i) 140 1 if 0 scored SC1 for their total = 240 100 1 (ii) correct labelled pie chart 2ft B1 ft for correct sectors drawn B1 for correct labelling consistent with table (b) (i) 40 1 (ii) 29.5 2 M1 for (attempt to add ) ÷ 12 (iii) 7 1 isw oe 12

This question in 0580/31 May/June 2013

1 Pedro is on a cruise ship. For Examiner′s Use (a) The ship has a climbing wall. These are the number of attempts that each of 30 people made at climbing the wall. 29 27 11 3 12 4 29 9 16 17 30 29 38 36 18 2 15 24 36 3 33 26 21 9 38 4 28 23 19 27 (i) Find the range. Answer(a)(i) … [1] (ii) Complete the frequency table. You may use the tally column to help you. Number of attempts Tally Frequency 1 – 5 6 – 10 11 – 15 16 – 20 21 – 25 26 – 30 31 – 35 36 – 40 [2] (iii) Draw a bar chart to show this information. Complete the scale on the frequency axis. Frequency 1 – 5 6 – 10 11 – 15 16 – 20 21 – 25 26 – 30 31 – 35 36 – 40 Number of attempts [3] (iv) Write down the modal group. For Examiner′s Use Answer(a)(iv) … [1] (b) Pedro left the ship in Cadiz at 08 45. He returned to the ship at 16 10. Find how long Pedro was in Cadiz. Answer(b) … hours … minutes [1] (c) Exchange Rate $1 = €1.428 (i) Pedro changed $167 into euros (€). Calculate how many euros Pedro received. Give your answer correct to 2 decimal places. Answer(c)(i) € … [2] (ii) Later, Pedro changed €107.10 back into dollars ($) using the same exchange rate. Calculate how many dollars Pedro received. Answer(c)(ii) $ … [2] _____________________________________________________________________________________

12 marks

Mark scheme: Qu. Answers Mark Part Marks 1 (a) (i) 36 cao 1 (ii) 5, 2, 3, 4, 3, 8, 1, 4 2 B1 for 6 or 7 frequencies correct or 8 correct tallies if frequency column blank or 8 correct frequencies in tally column (iii) fully correct bar chart 3FT B1 for a correct linear scaled frequency axis B2FT for correct height and equal width of bars or B1FT for correct height of at least 5 bars or all bars correct height but unequal widths or gaps SC2 for a fully correct bar chart but linear scale not marked (iv) 26 – 30 cao 1 (b) 7 (hours) 25 ( minutes) cao 1 (c) (i) 238.48 2 M1 for 167 × 1.428 soi by 238.47(6) or 238.5 or 238 (ii) 75 2 M1 for 107.1 ÷ 1.428

This question in 0580/31 Oct/Nov 2013

8 For Examiner′s Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Use Average temperature in °C –4.4 –4.2 –2.7 0.3 4.8 9.1 11.8 10.8 6.7 2.7 –1.1 –3.3 The table shows the average temperature for Tromso, Norway each month. (a) (i) Write down the month which had the highest average temperature. Answer(a)(i) … [1] (ii) How much warmer was it in September than in February? Answer(a)(ii) … °C [1] (iii) The lowest temperature in October was 12.3°C below the average temperature for that month. Work out the lowest temperature in October. Answer(a)(iii) … °C [1] (b) In a survey, some tourists were asked how they had travelled to Norway. The pie chart shows the results. Road Boat Train Plane (i) 150 of these tourists travelled by boat. For Examiner′s Use Show that 600 tourists took part in the survey. Answer(b)(i) [1] (ii) Calculate the number of these tourists who travelled by plane. Answer (b)(ii) … [3] (c) A train ticket from Oslo to Stavanger costs 885 krone. There is a discount of 12% on the total cost of the tickets for a group of 10 or more people. Calculate the cost of tickets for a group of 15 people. Answer(c) … krone [3] (d) On 1 January 2000, the population of Norway was 4 480 000, correct to 3 signifi cant fi gures. (i) Write this number in standard form. Answer(d)(i) … [1] (ii) On 1 January 2011, the population of Norway was 4 920 000, correct to 3 signifi cant fi gures. Calculate the percentage increase in the population. Answer(d)(ii) … % [3] _____________________________________________________________________________________

14 marks

Mark scheme: 8 (a) (i) July or Jul 1 (ii) 10.9 1 (iii) – 9.6 1 90 360 (b) (i) 150 ÷ oe 1 Accept 150 × , 150 × 4 360 90 (ii) 250 3 M1 for their 150/360 × 600 or their 150 × 150/90 and B1 for 150 seen as angle (c) 11682 3 M2 for 885 × 15 × 0.88 oe M1 for 885 × 0.88 oe or 885 × 15 × 0.12 oe (d) (i) 4.48 × 106 cao 1 4920000− 4480000 (ii) 9.82 3 M2 for × 100 oe 4480000  4920000  or  −1 × 100 oe  4480000  or B1 for 440000 or 0.44 or 1.098(….) or 109.8(…..) IGCSE – October/November 2013 0580 31

This question in 0580/31 Oct/Nov 2013

7 120 people are asked how they travel to work. The pie chart shows the results. Cycle Bus Walk Car (a) (i) Show that 45 people travel by car. Answer(a)(i) [2] (ii) A person is chosen at random from the 120 people. Find the probability that this person travels to work by bus or by car. Answer(a)(ii) … [2] (b) One year later, the same 120 people were again asked how they travel to work. Here is the information. Number of people Walk x Cycle 31 Bus 17 more than the number of people who walk Car 2 times the number of people who walk (i) Use this information to complete the following equation, in terms of x. … = 120 [3] (ii) Solve the equation to fi nd the number of people who walk to work. Answer(b)(ii) … [3] __________________________________________________________________________________________

10 marks

Mark scheme: 7 (a) (i) [Car angle =] 135 (± 2°) B1 135 ÷ 360 × 120 ( = 45 ) M1 (ii) 2 2 B1 for angles of 238° to 242° or value from 0.658 to 0.675 or 79 to 81 people 3 (b) (i) x + 31 + x + 17 + 2x [= 120] or better 3 B1 for x + 17 – seen together B1 for 2x (ii) 18 cao 3 M1 FT for their (4x + 48) [=120] or their 2x + x + x = 120 – 31 – 17 or better. M1FT for their (4x = 72) If zero SC2 for a correct numerical solution of their equation of equivalent difficulty.

This question in 0580/31 May/June 2014

4 Paolo’s football team played 46 games. The pictogram shows some information about the number of goals scored by Paolo’s football team. They did not score any goals in fi ve games. Number Number of games of goals 0 1 2 3 4 5 6 Key: = … games (a) (i) Complete the key. [1] (ii) Paolo’s team scored 2 goals in each of nine games. Complete the pictogram. [1] (b) (i) Write down the modal number of goals. Answer(b)(i) … [1] (ii) Find the median number of goals. Answer(b)(ii) … [1] (iii) Find the range. Answer(b)(iii) … [1] (iv) One of the 46 games is chosen at random. Work out the probability that Paolo’s team scored at least 4 goals. Answer(b)(iv) … [2] (c) The table shows the total goals scored and the total points gained by 10 teams. Team A B C D E F G H I J Goals 31 40 46 50 43 92 60 84 68 87 Points 36 35 52 56 72 78 59 70 61 75 (i) Complete the scatter diagram. The fi rst six points have been plotted for you. [2] 80 70 60 Points 50 40 30 30 40 50 60 70 80 90 100 Goals (ii) Draw the line of best fi t. [1] (iii) What type of correlation is shown? Answer(c)(iii) … [1] (iv) Use your line of best fi t to estimate the total points gained by a team scoring 75 goals. Answer(c)(iv) … [1] (v) Which team only scores a few goals but gains a lot of points? Answer(c)(v) … [1] __________________________________________________________________________________________

13 marks

Mark scheme: 4 (a) (i) 2 1 (ii) 4 and a half circles 1FT FT is 9 / their a(i) if their a(i) is an integer (b) (i) 1 1FT (ii) 2 cao 1 (iii) 6 cao 1 (iv) 13 oe isw 2 M1 for 13 seen or (6 + 5 + 2) / 46 or 6 1 / 23 46 2 (c) (i) 2 M1 for 3 points correctly plotted four points correctly plotted (ii) 1 dependent on at least 9 points on graph continuous ruled line of best fit (iii) 1 positive (iv) 1FT 65 to 70 (v) E 1 FT their continuous ruled line of best fit if positive

This question in 0580/32 May/June 2014

8 (a) One day a survey is taken of the ages of 120 children at a fairground. The results are shown in the frequency table. Age in completed years Number of children 1 to 3 12 4 to 6 19 7 to 9 32 10 to 12 41 13 to 15 9 16 to 18 7 (i) On the grid, draw a bar chart for this data. Complete the scale on the frequency axis. Frequency 1 to 3 4 to 6 7 to 9 10 to 12 13 to 15 16 to 18 Age in completed years [3] (ii) What is the modal age group? Answer(a)(ii) … [1] (iii) One of the 120 children is chosen at random. Write down the probability that the child is aged 4 to 6. Answer(a)(iii) … [1] (b) Lalia says the probability of taking a yellow bead from a bag containing yellow beads and black 7 beads is . 5 7 Explain why cannot be a correct probability. 5 Answer(b) … [1] (c) Another bag contains 9 green marbles and 11 red marbles. A marble is taken at random. Write down the probability that the marble is (i) green, Answer(c)(i) … [1] (ii) blue. Answer(c)(ii) … [1] __________________________________________________________________________________________ Question 9 is printed on the next page.

8 marks

Mark scheme: 8 (a) (i) Correct diagram with scale 3 B1 scale correct. B1 for all widths the same B1 for all 6 heights correct (ii) 10 to 12 cao 1 19 (iii) or 0.158[3 … ] or 15.8[3 … ]% 1 120 (b) Probability must be between 0 and 1 oe 1 9 (c) (i) or 0.45 or 45% 1 20 (ii) 0 oe 1

This question in 0580/31 Oct/Nov 2014

5 All the children in a school are asked to choose their favourite colour. The pie chart shows the results. Green Red Blue Yellow (a) Write down the least favourite colour chosen. Answer(a) … [1] (b) 27 children choose yellow as their favourite colour. Work out the total number of children in the school. Answer(b) … [3] (c) Work out the percentage of the children in the school who choose red. Answer(c) … % [2] __________________________________________________________________________________________

6 marks

Mark scheme: 5 (a) green 1 (b) 72 3 B1 for 135° ± 2° seen 360 × 27 M1 for oe their 135 (c) 22.2 2 80 ± 2 M1 for × 100 360 or their red M1FT for × 100 their total

This question in 0580/31 May/June 2015

3 (a) Luis buys a season ticket to watch his local football team. The season ticket costs $595. (i) Luis buys the season ticket online and gets a 5% discount on the $595. Work out how much Luis pays for the season ticket online. Answer(a)(i) $ … [2] (ii) A ticket to watch one match costs $38. Luis watches 16 matches. How much did Luis save by buying a season ticket online instead of 16 tickets at $38 each? Answer(a)(ii) $ … [2] (b) The football stadium has 26 272 seats. The number of people who attend one match is 23 854. Calculate the percentage of the 26 272 seats that are empty. Answer(b) … % [2] (c) The total number of people attending matches at the stadium last season was 506 762. Write 506 762 in standard form, correct to 3 significant figures. Answer(c) … [2] (d) Last season the team played a total of 45 matches. The table shows the results of these matches. Result Number of matches Pie chart sector angle Won 20 160° Drawn 15 Lost 10 (i) Complete the table. [3] (ii) Complete the pie chart. Won [1] (e) The table shows the total attendance figures for all the teams in the league for two seasons. Season Total attendance A 9.76 × 106 B 1.36 × 107 Work out how much greater the attendance was in season B than in season A. Give your answer in standard form. Answer(e) … [2] __________________________________________________________________________________________

14 marks

Mark scheme: 3 (a) (i) 565.25 2 M1 for − 1 5  × 595 oe  100  (ii) 42.75 2FT 2FT if positive difference (ie (a)(i) < 608) M1 for 38 × 16 (or 608) – their (a)(i) (b) 9.2[0…] 2 M1 for  26272 − 23854  × 100 oe or  26272  − 1 23854  × 100 oe or  26272  23854 100 − × 100 oe 26272 (c) 5.07 × 105 cao 2 B1 for figs 507 or for a × 105 (a ≠ 0) (d) (i) 120° 3 B2 for one correct 80° 15 10 160 or M1 for × 360 or × 360 or × 15 45 45 20 160 or × 10 or better 20 (ii) Pie chart correct 1FT FT if their angles add to 200° (e) 3.84 × 106 2 B1 for answer figs 384

This question in 0580/31 Oct/Nov 2015

2 Here are the first four diagrams in a sequence. Diagram 1 Diagram 2 Diagram 3 Diagram 4 Diagram 5 (a) On the grid, draw Diagram 5. [1] (b) Complete the table below for Diagram 4 and Diagram 5. Diagram Number of Number of Total number number s s of s and s 1 1 0 1 2 3 1 4 3 6 3 9 4 5 [2] (c) Find an expression, in terms of n, for the total number of s and s in Diagram n. Answer(c) … [1] (d) Find the total number of s and s in Diagram 23. Answer(d) … [1] (e) Describe in words the rule for continuing the sequence for the number of s. 1, 3, 6, … Answer(e) … [1]

6 marks

Mark scheme: 2 (a) 1 O X X X X O O X X X O O O X X O O O O X O O O O O (b) 10, 6, 16 2 M1 for 4 or 5 correct numbers or for one 15, 10, 25 correct row (c) n2 1 (d) 529 1FT FT their (c) if algebraic expression (e) Add on 2, then 3, then 4 etc. oe 1

This question in 0580/32 Oct/Nov 2015

5 (a) Some children are asked what their favourite sport is. The results are shown in the pie chart. Swimming Gymnastics 80° 120° 45° 60° Running Tennis Hockey (i) Complete the statements about the pie chart. The sector angle for running is … degrees. The least popular sport is … 1 6 of the children chose … Twice as many children chose … as … [4] (ii) Five more children chose swimming than hockey. Use this information to work out the number of children who chose gymnastics. Answer(a)(ii) … [3] (b) Ten boys go swimming. The teacher records, in seconds, the time each boy takes to • get ready for swimming • swim one length. These times are shown in the table below. Boy A B C D E F G H I J Time to get ready 310 250 360 245 440 415 290 420 480 400 Time to swim one length 29 17 19 36 38 16 40 32 20 30 (i) A boy is chosen at random. Find the probability that he takes more than 300 seconds to get ready. Answer(b)(i) … [1] (ii) Complete the scatter diagram. The first six points have been plotted for you. 40 35 30 25 Time to swim one 20 length (seconds) 15 10 5 0 100 200 300 400 500 Time to get ready (seconds) [2] (iii) Another boy takes 340 seconds to get ready. Can the scatter diagram be used to estimate the time it will take him to swim one length? Give a reason for your answer. Answer(b)(iii) … because … … [1]

11 marks

Mark scheme: 5 (a) (i) 55 1 Tennis 1 Hockey 1 Gymnastics , Hockey 1 (ii) 30 3 120 M2 for × 5 (80 − 60) or (80 − 60) 5 M1 for or M1 for 5 (80 − 60) 120 or M1 for (80 − 60) 7 (b) (i) oe 1 10 (ii) 4 points correctly plotted 2 B1 for 3 correct points (iii) No [because] no correlation oe 1

This question in 0580/32 Oct/Nov 2015

1 (a) A group of 20 children were asked to choose their favourite type of fruit juice. The results are listed below. Orange Apple Apple Pineapple Mango Tropical Orange Mango Apple Mango Pineapple Apple Apple Mango Orange Apple Mango Pineapple Orange Apple (i) Complete the frequency table for the results. You may use the tally column to help you. Type of juice Tally Frequency Orange Apple Pineapple Mango Tropical [2] (ii) Draw a bar chart to show these results. Remember to mark the scale on the frequency axis. Frequency Orange Apple Pineapple Mango Tropical [3] (iii) Sarah has a pack of 20 cartons of juice. 5 are orange, 5 are apple, 5 are pineapple and 5 are mango. She would like to give each child their favourite type of juice. How many children will not get their favourite type of juice? … [1] (b) One litre of a mixed fruit drink contains 550 millilitres of apple juice. Write down the fraction of the drink that is apple juice. Give your answer in its simplest form. … [2] (c) Amir wants to buy a bottle of fruit juice. There are three sizes of bottle. 0.9 litres 1.25 litres 1.35 litres $2.40 $3.15 $3.50 Work out which size of bottle gives the best value. Show how you decide. … [3] (d) The amount of juice in a glass, j millilitres, is 150 millilitres correct to the nearest 10 millilitres. Complete this statement about the value of j. … G j 1 … [2]

13 marks

Mark scheme: Question Answer Mark Part marks 1 (a) (i) Frequencies 4, 7, 3, 5, 1 2 B1 for 3 or 4 correct in frequency column or for fully correct tally in tally column or for 4, 7, 3, 5, 1 in tally column (ii) Correct bar chart 3FT B1 for linear vertical scale B2FT for all bars correct height and equal width, with equal gaps or no gaps or B1FT for all bars correct height with unequal widths and/or gaps or at least four bars correct height and equal width, with equal gaps or no gaps (iii) 3 1 11 550 (b) final answer 2 M1 for oe seen 20 1000 (c) Three correct evaluated, to at least 3 M2 M2 implied by 2.67 or 2.66… and 2.52 and significant figures, consistent divisions 2.59… or M1 for one correct evaluated division soi, implied by one of 2.67 or 2.66…, 2.52, 2.59… [$/litre] or one of 2.40/0.9 = 2.7, 3.15/1.25 = 2.5, 3.50/1.35 = 2.6 1.25 litre bottle indicated A1 Dependent on M2 (d) 145 155 1, 1 B1 for both correct in reverse order

This question in 0580/32 May/June 2016

4 A garage sells second-hand cars. The table shows the number of cars sold and the year they were made. Year 2010 2011 2012 2013 2014 2015 Frequency 14 13 4 8 0 11 (a) Complete the bar chart to show this information. 16 14 12 10 Frequency 8 6 4 2 0 2010 2011 2012 2013 2014 2015 Year [2] (b) For these cars, write down the modal year. … [1] (c) The garage sold 6 cars last week. The selling prices, in dollars, are listed below. 920 1070 3100 2240 2650 1840 (i) Work out the range. $ … [1] (ii) Work out the median. $ … [2] (iii) Calculate the mean. $ … [2]

8 marks

Mark scheme: 4 (a) 5 bars correct heights and equal 2 B1 for 4 bars correct height and equal widths widths or 5 bars of correct height (b) 2010 1 (c) (i) 2180 1 (ii) 2040 2 B1 for ordering at least 4 or identifying the middle two (iii) 1970 2 M1 for (920 + 1070 + 3100 + 2240 + 2650 + 1840) ÷ 6 or 11820 ÷ 6

This question in 0580/33 May/June 2016

2 Javier went to a carnival with his friends. (a) He played five games of darts. These are his scores. 160 58 45 82 125 (i) Work out his mean score. … [2] (ii) Find the range. … [1] (b) The 5000 tickets for the carnival are different colours. The table shows the number of tickets of each colour. Colour of ticket Red Green Blue Pink White Number of tickets 370 560 1800 1320 950 A ticket is picked at random. Find the probability that this ticket is Blue. … [1] (c) Five different types of food are sold at the carnival. Javier chooses one of these types of food. The table shows the probability that he chooses each type of food. Type of food Curry Fries Pasta Burger Salad Probability 0.15 0.23 0.4 0.07 Complete the table. [2] (d) Javier hires a four-seater bike. The hire cost is $8.50 for the first hour and then $7.75 for each extra hour. Calculate the cost of hiring the bike for 5 hours. $ … [2] (e) The table shows the number of drinks sold by one stall at the carnival. Drink Number sold Tea 70 Orange 60 Water 120 Coffee 180 Smoothie 40 Draw a bar chart to show this information. Complete the scale on the frequency axis. Frequency Tea Orange Water Coffee Smoothie [3]

11 marks

Mark scheme: 160 + 58 + 45 + 82 + 125 470 2 (a) (i) 94 2 M1 for or 5 5 (ii) 115 1 1800 (b) oe isw 1 5000 (c) [0].15 oe 2 M1 for 1 – ( 0.15 + 0.23 + 0.4 + 0.07) or 1 – 0.85 (d) 39.5[0] 2 M1 for [8.50 +] (7.75 × 4) soi by 31 If zero scored, SC1 for 47.25 (e) Correct bar chart 3 B1 for any correct linear scale starting at zero soi B2 for all bars correct height and equal width, with equal gaps or no gaps or B1 for all bars correct height with unequal widths and/or gaps or at least three bars correct height with equal width, with equal gaps or no gaps

This question in 0580/31 Oct/Nov 2016

1 (a) A group of 50 children were each asked which type of book they most like to read. The pictogram shows some of the results. Type of book Number of children Adventure Horror History Comedy Fantasy Key: = 4 children (i) How many children said Comedy? … [1] (ii) 9 children said they liked Horror best. Complete the pictogram. [1] (iii) Which type of book was most popular? … [1] (iv) One of the children is chosen at random. Find the probability that they liked History best. … [1] (b) The same 50 children were each asked how many books they had read in the past month. The results are shown in the table. Number of books 1 2 3 4 5 6 Frequency 7 14 12 5 8 4 (i) Find the median. … [2] (ii) Calculate the mean. … [3] (c) The ages of 300 people visiting a library one day were recorded. The pie chart shows the results. Over 60 18 and under 19 to 60 (i) What fraction of the people were aged over 60? … [1] (ii) How many people were aged 19 to 60? … [3]

13 marks

Mark scheme: Question Answer Mark Part marks 1 (a) (i) 12 1 (ii) 1 (iii) Fantasy 1 4 (iv) oe isw 1 50 (b) (i) 3 2 M1 for 25th and 26th value or list of at least first or last 26 values (ii) 3.1 nfww 3 M1 for 7 × 1 + 2 × 14 + 3 × 12 + 4 × 5 + 5 × 8 + 6 × 4 or better M1 dep for their 155 ÷ 50 (c) (i) 90 1 oe 360 (ii) 125 3 B1 150 soi their150 M1 for × 300 oe 360

This question in 0580/32 Oct/Nov 2016

3 Francis asks 30 families how many children they have. The table shows the results. Number of children in each family 0 1 2 3 4 5 Number of families 4 6 6 2 9 3 (a) (i) Write down the mode. … [1] (ii) Find the median. … [1] (iii) Calculate the mean. … [3] (iv) Complete the bar chart, including the vertical scale. Number of families 0 1 2 3 4 5 Number of children in each family [3] (b) Francis also recorded the age group and gender of the children aged 12 or less. The information is shown in the table. Age 4 and Age 5 to 8 Age 9 to 12 Total younger Male 9 Female 11 36 Total 30 20 75 Complete the table. [2] (c) Francis displays the results for the totals of each age group on a pie chart. The sector angle for the group ‘Age 4 and younger’ is 120°. Calculate the sector angle for (i) age 5 to 8, … [2] (ii) age 9 to 12. … [1] (d) Complete the pie chart. Age 4 and younger [1]

14 marks

Mark scheme: 3(a)(i) 4 1 3(a)(ii) 2 1 3(a)(iii) 2.5 3 M1 for [(0 × 4)+] (1 × 6) + (2 × 6) + (3 × 2) + (4 × 9) + (5 × 3) oe M1 dep their total ÷ 30 soi 3(a)(iv) 4 bars correct height, correct 2 B1 for 2 bars correct heights and widths, or 4 correct width and correct gaps heights Correct vertical scale shown 1 3(b) 6 values correctly placed 2 B1 for 3, 4 or 5 correctly placed 14 16 [9] 39 [11] 14 11 [36] 25 [30] [20] [75] 3(c)(i) 144 2 M1 for 30 ÷ 75 [× 360] oe 3(c)(ii) 96 1FT FT 240 – their (c)(i) 3(d) Correct line from centre to 1FT FT their angles provided they sum to 240° circumference, angles 144° and 96°

This question in 0580/31 May/June 2017

7 Here is a sequence of diagrams made using identical rectangles. A dot is shown at the junction of three lines. A cross is shown at the junction of two lines. x x x x x x x x x x x x x x x x x x x x x x x x Diagram 1 Diagram 2 Diagram 3 Diagram 4 (a) Write down the order of rotational symmetry of Diagram 1. … [1] (b) Complete Diagram 4 using dots and crosses. [1] (c) Complete the table for Diagram 4 and Diagram 5. Diagram 1 2 3 4 5 Number of dots 0 4 10 Number of crosses 4 6 8 [3] (d) (i) Describe, in words, the rule for continuing the sequence for the number of dots. … [1] (ii) The expression for the number of dots in Diagram n is n 2 + n - 2 . Find the number of dots in Diagram 12. … [2] (e) (i) Write down an expression for the number of crosses in Diagram n. … [2] (ii) Diagram n has 100 crosses. Find the value of n. n = … [2]

12 marks

Mark scheme: 7(a) 2 1 7(b) 3 dots correctly placed 1 4 crosses correctly placed 7(c) 18 28 1,1 If zero scored, SC1 for their 18 + 10 10 12 1 7(d)(i) Add two more each time oe 1 7(d)(ii) 154 2 M1 for 122 + 12 − 2 7(e)(i) 2n + 2 oe final answer 2 B1 for 2n + j or kn + 2 (k ≠ 0 or 1) 7(e)(ii) 49 2 M1 for their (e)(i) = 100 provided (e)(i) is algebraic soi

This question in 0580/31 May/June 2017

3 (a) The scatter diagram shows the scores for each student in class A for the written test and the speaking test in French. A line of best fit has been drawn. 60 55 50 45 40 35 Score in written test 30 25 20 15 10 5 0 0 5 10 15 20 25 30 35 40 45 50 55 60 Score in speaking test (i) Each test is marked out of 60. In which test did the class perform better? Give a reason for your answer. … because … … [1] (ii) What type of correlation is shown in the scatter diagram? … [1] (iii) One student is much better at speaking French than writing French. Put a ring around the cross that represents this student. [1] (iv) One student scored 39 in the speaking test but was absent for the written test. Use the line of best fit to estimate a score for this student in the written test. … [1] (b) Here are the scores in the written test for class B. 21 14 48 32 8 29 41 39 30 23 17 Find (i) the median, … [2] (ii) the mean. … [2]

8 marks

Mark scheme: 3(a)(i) Written test and a valid reason 1 3(a)(ii) Positive 1 3(a)(iii) (45,10) indicated 1 3(a)(iv) 42 1 3(b)(i) 29 2 M1 for 6 in the correct order, 8 14 17 21 23 29… or … 29 30 32 39 41 48 3(b)(ii) 27.5 or 27.45 to 27.46 2 M1 for all 11 numbers added, allowing one error or omission, and divided by 11

This question in 0580/31 Oct/Nov 2017

1 Lena owns a café. (a) One day, Lena records the drinks she sells in one hour. Tea Tea Coffee Juice Milkshake Milkshake Coffee Coffee Milkshake Coffee Tea Juice Tea Coffee Tea Juice Milkshake Tea Milkshake Tea Coffee Tea Milkshake Coffee (i) Complete the frequency table. You may use the tally column to help you. Drink Tally Frequency Coffee Juice Milkshake Tea Total 24 [2] (ii) Draw a bar chart to show this information. Complete the scale on the frequency axis. Frequency 0 Coffee Juice Milkshake Tea [3] (b) This table shows the opening hours of the café. Day Opening hours Monday to Thursday 08 30 to 17 00 Friday and Saturday 08 30 to 19 00 Sunday 09 00 to 18 00 (i) Work out the total number of hours the café is open in one week. … hours [2] (ii) Lena is in the café for 40 hours each week. Ron is in the café when Lena is not there. Calculate the percentage of the total opening hours that Ron is in the café each week. … % [2] (c) Saddak buys 3 cups of tea and 2 cookies for $6.95 . A cup of tea costs $1.75 . Work out the cost of one cookie. $ … [2] (d) The price of a cake is $2.60 . At the end of the day, Lena reduces the price of each cake by 35%. Calculate the reduced price of a cake. $ … [2]

13 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) 7, 3, 6, 8 2 B1 for 3 correct in frequency column or for 2 correct if they all sum to 24 or for all correct tallies if frequency column blank or for 7, 3, 6, 8 seen in tally column with frequency column blank or incorrect. 1(a)(ii) Correct bar chart with scaled 3 B1 for correctly scaled frequency axis frequency axis B1FT all heights correct B1 equal width bars and gaps 1(b)(i) 64 2 B1 for two from 8.5, 10.5 and 9 soi 1(b)(ii) 37.5 2 their ( b )( i ) − 40 M1 for oe their ( b )( i ) If 0 scored, SC1 for answer 62.5 1(c) [0].85 2 M1 for 6.95 – 3 × 1.75 oe 1(d) 1.69 2  35  M1 for 2.6 ×  1 −  oe  100 

This question in 0580/31 Oct/Nov 2018

2 (a) The bar chart shows the number of different films shown at a cinema in each of four months. 9 8 7 6 Number of films 5 4 3 2 1 0 Jan Feb Mar Apr May June Month (i) In May, 6 films were shown and in June, 4 films were shown. Complete the bar chart. [1] (ii) How many more films were shown in March than were shown in January? … [1] (b) The cinema is open from 13 30 to 23 15 every day. Work out how long the cinema is open in one week. Give your answer in hours and minutes. … h … min [3] (c) One Monday afternoon, the cinema sells 24 adult tickets, 16 child tickets and 8 senior tickets. Work out the total amount of money received for these tickets. Ticket prices Adult $10.50 Child $ 6.25 Senior $ 9.00 $ … [3] (d) One Tuesday, there are 24 children out of the 80 people in the cinema. Find the percentage of these people that are children. … % [1] (e) (i) A film lasts for 85 minutes. It starts at 19 40. Find the time when the film ends. … [1] (ii) Another film lasts for 2 hours 45 minutes. It finishes 10 minutes before the closing time of 23 15. Find the time that it starts. … [2] (f) In the cinema café, Harry buys a cup of tea for $1.85 and a cake for $1.70 . Work out the change he receives from a $5 note. $ … [2] (g) In the café, the fridge has a temperature of 4 °C and the freezer has a temperature of −17 °C. (i) Work out the difference in these temperatures. … °C [1] (ii) The temperature in the freezer rises by 3 °C. Work out the new temperature in the freezer. … °C [1]

16 marks

Mark scheme: 2(a)(i) Two correct bars 1 2(a)(ii) 3 1 2(b) 68 [h] 15 [min] 3 3 B1 for 9 [h] 45 [m] or 9 or 9.75 or 585 seen 4 3 M1 for their (9 [h] 45 [m], 9 , 9.75 or 585) × 7 4 soi 2(c) 424 3 M2 for 24 × 10.5 + 16 × 6.25 + 8 × 9 soi or M1 for two of 24 × 10.5, 16 × 6.25, 8 × 9 2(d) 30 1 2(e)(i) 21 05 or 9.05 pm 1 2(e)(ii) 20 20 or 8.20 pm 2 M1 for 23 15 [− (10 min)] − (2 h 45 m) soi by 20 30 2(f) 1.45 2 M1 for [5 −] (1.85 + 1.70) or 3.55 2(g)(i) 21 1 2(g)(ii) –14 1

This question in 0580/32 Oct/Nov 2018

1 (a) Some people each recorded their favourite holiday destination. The results are shown in the pie chart. Bali USA 72° 118° 36° Brazil 108° Mexico Caribbean (i) Complete the statements about the pie chart. The sector angle for Mexico is … degrees. The most popular destination is … 1 of the people chose … 5 Three times as many people chose … as … [4] (ii) 180 people chose Bali. Find how many people were asked altogether. … [2] (b) Mr and Mrs Baker go on holiday with their three children. They fly from Miami to Mexico City. (i) The cost of each adult ticket is $450. The cost of each child ticket is 70% of the cost of an adult ticket. Calculate the total cost of the five tickets. $ … [3] (ii) The plane leaves Miami at 09 29. It arrives in Mexico City 2 hours 11 minutes later. The local time in Miami is 1 hour ahead of the local time in Mexico City. Work out the time in Mexico City when the plane arrives. … [2] (iii) The family travels 38 kilometres by taxi. The journey costs $3.50 plus an extra $2.15 for each kilometre travelled. Find the cost of the journey. $ … [2] (iv) At the end of the holiday Mr Baker changes 1335 pesos into dollars. The exchange rate is $1 = 17.8 pesos. Find how many dollars Mr Baker receives. $ … [2]

15 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) 26 4 B1 for each USA Bali Caribbean, Brazil 1(a)(ii) 900 2 180 M1 for × 360 or 180 × 5 oe 72 1(b)(i) 1845 3 M1 for [3 ×] 450 × 0.7 M1 for 2 × 450 1(b)(ii) 10 40 2 B1 for 11 40 or [0]8 29 or 1 hr 11 [mins] 1(b)(iii) 85.2[0] 2 M1 for [3.5 +] 2.15 × 38 soi 1(b)(iv) 75 2 M1 for 1335 ÷ 17.8

This question in 0580/33 Oct/Nov 2018

1 (a) 60 boys are asked to name their favourite sport. The results are shown in the pie chart. Judo Hockey 30° 48° Tennis Running 90° 72° 120° Swimming (i) Write down the most popular sport. … [1] (ii) Write down the fraction of boys who choose Running. … [1] (iii) Work out how many boys choose Judo. … [2] (iv) One of the boys is chosen at random. Work out the probability that his favourite sport is not Judo. … [1] (v) Complete this statement. Three times as many boys choose … than choose … [1] (b) Two of the boys in part (a) then change their choice from Running to Swimming. Complete the pie chart after this change. The Tennis, Judo and Hockey sectors have been drawn for you. Judo Hockey 30° 48° Tennis 90° [2] (c) 60 girls are asked to name their favourite sport. Their results are shown in the bar chart below. 20 16 Number 12 of girls 8 4 0 Hockey Running Swimming Tennis Judo Using your pie chart in part (b) and the bar chart above, write down one similarity and one difference between the girls’ results and the boys’ results. Similarity … Difference … [2]

10 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) Swimming 1 1(a)(ii) 72 1 oe 360 1(a)(iii) 5 cao 2 30 60 M1 for [× 60 ] or [× 30 ] 360 360 360 or for soi by 6 60 1(a)(iv) 55 1 60 − their (a)(iii) oe FT oe 60 60 1(a)(v) Tennis, Judo 1 1(b) 2 sectors drawn: 2 M1 for use of 12° implied by 60° or 132° Running 60° seen or for 10 [boys] or 22 [boys] seen Swimming 132° 1(c) A valid correct similarity and 2 B1 for each difference

This question in 0580/32 Feb/March 2019

3 (a) On Monday, Main Street station sells 40 tickets. There are four types of ticket; infant, child, adult and senior. The bar chart shows the number of infant, child and adult tickets sold. 20 18 16 14 12 Frequency 10 8 6 4 2 0 Infant Child Adult Senior Type of ticket (i) Complete the bar chart. [3] (ii) Find how many more adult tickets were sold than child tickets. … [1] (iii) Write down the modal type of ticket. … [1] (iv) One of these 40 people is chosen at random. Find the probability that this person is a child. … [1] (b) At Donville station the number of tickets sold each day is recorded for seven days. 104 18 72 31 27 45 60 Find (i) the range, … [1] (ii) the median, … [2] (iii) the mean. … [2]

11 marks

Mark scheme: 3(a)(i) Correct bar 3 M1 for 5, 12, 17 or 34 M1 for 40 – their34 3(a)(ii) 5 1 3(a)(iii) Adult 1 FT 3(a)(iv) 12 40 oe 1 3(b)(i) 86 1 3(b)(ii) 45 2 M1 for 18, 27, 31, 45, or 45, 60, 72, 104 3(b)(iii) 51 2 M1 for (104 + 18 + 72 + 31 + 27 + 45 + 60) ÷ 7 soi 357 7

This question in 0580/31 May/June 2019

2 80 students each record the name of their mathematics teacher. The number of these students taught by Mr House and by Miss Patel are shown in the bar chart. 24 20 16 Frequency 12 8 4 0 Mr Mrs Mr Miss Mr Jones Brown House Patel Smith (a) How many more students are taught by Miss Patel than by Mr House? … [1] (b) 15 students are taught by Mr Smith. Twice as many students are taught by Mrs Brown than by Mr Jones. Use this information to complete the bar chart. [4] (c) Write down the mode. … [1] (d) One of these students is chosen at random. Work out the probability that this student (i) is taught by Mr House, … [1] (ii) is not taught by either Mr House or Miss Patel. … [2] (e) This information is also to be shown in a pie chart. Work out the sector angle for Miss Patel. … [2]

11 marks

Mark scheme: 2(a) 4 1 2(b) 3 correct bars drawn on bar chart 4 B1 for Mr Smith bar drawn height 15 M2 for their ( 80 − (18 + 14 + 15 ) ) ÷ 3 [× 2 ] or M1 for 80 − (18 + 14 + 15 ) oe 2(c) Mrs Brown 1 FT their bar chart provided 5 bars drawn 2(d)(i) 14 1 oe 80 2(d)(ii) 48 2 FT their bar chart oe 80 18 + 14 M1 for 80 − (18 + 14 ) or oe 80 OR M1FT for adding heights of bars for (Mr Jones, Mrs Brown and Mr Smith) 2(e) 81 2 360 18 M1 for [× 18 ] or [× 360 ] 80 80

This question in 0580/32 May/June 2019

1 (a) José manages a football team. He records the number of goals scored by the team for each of five months. Some of the results are shown on the bar chart. 28 24 20 Number of goals 16 12 8 4 0 Nov Dec Jan Feb Mar Month (i) In February, 10 goals were scored. Complete the bar chart. [1] (ii) Write down the month in which most goals were scored. … [1] (iii) Find the total number of goals scored. … [1] (iv) Calculate the mean number of goals scored each month. … [1] (b) Jodie and her two children go to a football match. (i) Ticket prices are $15.30 for an adult and $6.50 for a child. Calculate the total cost of the three tickets. $ … [2] (ii) A match programme costs $3.75 . Jodie buys two match programmes. Calculate the change she receives from a $10 note. $ … [2] (iii) 540 tickets out of 630 are sold for this match. Calculate the percentage of tickets sold. … % [1] (iv) The match starts at 14 55 and ends 1 hour 50 minutes later. Work out the time the match ends. … [1] (v) Jodie travels 66 km to get home after the match. She leaves at 5 pm and arrives home at 6.12 pm. Calculate her average speed in kilometres per hour. … km/h [3]

13 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) Correct bar 1 1(a)(ii) December 1 1(a)(iii) 82 1 1(a)(iv) 16.4 1 FT their (a)(iii)÷5 1(b)(i) 28.3[0] 2 M1 for 15.3 + (2 × 6.5) oe 1(b)(ii) 2.5[0] 2 M1 for [10 –](2 × 3.75) oe 1(b)(iii) 85.7 1 1(b)(iv) 16 45 1 1(b)(v) 55 3 B1 for 72 or 1.2 seen M1 for 66 ÷ their time

This question in 0580/31 Oct/Nov 2019

1 Nadira owns a clothes shop. (a) The pictogram shows the number of skirts that were sold each day in one week. Day Number of skirts Monday Tuesday Wednesday Thursday Friday Saturday Key: = 10 skirts (i) On which day were most skirts sold? … [1] (ii) How many skirts were sold on Wednesday? … [1] (iii) Work out how many more skirts were sold on Friday than on Thursday. … [1] (b) The shop is open for 6 days each week. On each day, the shop is open from 09 30 until 13 00 and from 14 15 until 20 30. Work out the total number of hours the shop is open in one week. … hours [2] (c) Nadira pays 6 people to work in the shop. In one week • 4 people each work for 38 hours • 2 people each work for 25 hours. They are each paid $11.40 for each hour they work. Calculate the total amount Nadira pays these 6 people in one week. $ … [2] (d) Nadira has some T-shirts that are either white or blue or green. The numbers of T-shirts are in the ratio white : blue : green = 5 : 4 : 1. 48 of the T-shirts are blue. Work out the total number of T-shirts. … [3] (e) Nadira buys a pack of 40 dresses and pays $500. She sells 35 of these dresses for $22 each. She sells the remaining 5 dresses for $14.50 each. Calculate the percentage profit she makes when she sells all 40 dresses. … % [4]

14 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) Friday 1 1(a)(ii) 25 1 1(a)(iii) 15 1 1(b) 58.5 2 B1 for 21 [hours] or 37.5 [hours] or 9.75 [hours] soi  1 1  or M1 for 6  3 + 6  oe  2 4  1(c) 2302.8[0] final answer 2 M1 for (4 × 38 + 2 × 25) × 11.40 oe 1(d) 120 3 48 M2 for × (5 + 4 + )1 oe 4 48 or M1 for soi by 12 4 1(e) 68.5 4 M1 for 35 × 22 + 5 × 14.5 oe their 842.50 − 500 M2 for [× 100] 500  their 842.50  or  − 1  [× 100]  500  their 842.50 or × 100 [ −100] 500 their 842.50 or M1 for or 500 their 842.50 −500

This question in 0580/32 Oct/Nov 2019

1 George, Louis and Beatriz have a café. (a) George records the number of each type of meal sold. He draws a pictogram to show his results. All rows are complete except for Salad. Type of meal Number of meals Meat curry Pasta Vegetarian Salad Fish Sandwich Key: = 8 meals (i) Six salads were sold. Complete the pictogram. [1] (ii) Write down which type of meal was sold most. … [1] (iii) Find the number of meals sold altogether. … [1] (b) The café also sells drinks. Drinks Cup of tea $2.20 Cup of coffee $2.80 Bottle of juice $1.50 Bottle of water $1.35 Johan buys 2 cups of tea, 1 bottle of juice and 1 bottle of water. Calculate the change he receives from a $10 note. $ … [2] (c) These are the opening times of the café. Monday to Friday 8 am to 6 pm Saturday 9.30 am to 3 pm Sunday Closed Work out the total number of hours the café is open in one week. … hours [2] (d) One week the café makes a profit of $1027. George, Louis and Beatriz share this profit in the ratio George : Louis : Beatriz = 7 : 4 : 2. Calculate the amount of money they each receive. George $ … Louis $ … Beatriz $ … [3] (e) In 2019 the rent for the café was $7275. In 2020 the rent is $7566. Calculate the percentage increase in the rent. … % [2] (f) George drives 315 km from the café to the airport. The journey takes 3 hours 30 minutes. Calculate his average speed. … km/h [1]

13 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) 3 1 of rectangle marked on diagram 4 1(a)(ii) Pasta 1 1(a)(iii) 68 1 1(b) 2.75 2 M1 for [10 –] (2.20 + 2.20 + 1.50 + 1.35) oe 1(c) 55.5 oe 2 M1 for (10 × 5 + 5.5) oe 1(d) 553 3 M2 for 1027 ÷ (7 + 4 + 2) × k or better 316 where k is 7, 4 or 2 158 M1 for 1027 ÷ (7 + 4 + 2) oe 1(e) 4 nfww 2 7566 − 7275 M1 for [× 100] 7275  7566  or  − 1  [× 100]  7275  7566 or × 100 [ −100] 7275 1(f) 90 1

This question in 0580/32 Oct/Nov 2020

2 (a) Anika asks 15 friends how many marbles they have. The results are shown in the table. Number of Pie chart Frequency marbles sector angle 0 2 1 to 10 8 11 to 50 4 More than 50 1 (i) Complete the table. [2] (ii) Complete the pie chart. [2] (b) Bag A Bag B Bag A contains 2 black marbles and 3 white marbles. Bag B contains 5 black marbles and 8 white marbles. (i) Write down the probability that a marble picked at random from bag A is black. … [1] (ii) Toby says, ‘You are more likely to pick a black marble at random from bag B than from bag A because bag B has more black marbles.’ Is Toby correct? Give a reason for your answer. … because … [2] (iii) Toby adds some marbles to bag B. The probability of picking a black marble at random from either bag is now the same. Work out the smallest number of black marbles and white marbles he adds to bag B. Black … White … [2]

9 marks

Mark scheme: 2(a)(i) 48 192 96 24 2 B1 for 2 or 3 correct 360 or M1 for × k k = 1, 2, 4 or 8 15 2(a)(ii) Correct pie chart 2 FT their table if angles add up to 360 B1FT for one sector correctly drawn 2(b)(i) 2 1 oe 5 2(b)(ii) No with correct reason 2 5 B1 for 13 B1 for reason or correct comparison of probabilities 2(b)(iii) 1 1 2 6 B1 for 15 or 6:9 If 0 scored, SC1 for final answer 6, 9 or 1 + 2k, 1 + 3k k integer, k ⩾ 1

This question in 0580/31 May/June 2021

7 (a) The favourite sport of each of 135 boys is recorded in the table. Favourite sport Frequency Pie chart sector angle Soccer 54 144° Hockey 45 Rugby 27 Other 9 (i) Complete the table. [2] (ii) Complete the pie chart to show these results. The sector for soccer has been drawn for you. Soccer [2] (iii) One of these boys is picked at random. Find the probability that soccer is his favourite sport. … [1] (b) 135 girls are asked if they like soccer (S) and if they like hockey (H). n ( S) = 53, n ( H ) = 68 and n ( S , H) = 110 . (i) Complete the Venn diagram. S H … … … … [3] (ii) Write down n ( S + H ) . … [1]

9 marks

Mark scheme: 7(a)(i) 120 72 24 2 B1 for one correct angle 7(a)(ii) Correct pie chart 2 FT their table if angles add up to 360° B1FT for one sector correctly drawn 7(a)(iii) 2 1 oe 5 7(b)(i) 3 B1 for 11 S H B1 for 25 42 11 57 B1 for total in S equals 53 and total in H equals 68 provided S ∩ H ≠ Ø 25 7(b)(ii) 11 1 FT their S ∩ H

This question in 0580/32 May/June 2021

8 (a) 15 people take a test. These are the test scores. 29 27 12 32 42 26 7 23 22 31 40 9 18 35 8 (i) Complete the frequency table. You may use the tally column to help you. Score Tally Frequency 0 to 10 11 to 20 21 to 30 31 to 40 41 to 50 [2] (ii) Use your table to complete the bar chart. 8 7 6 5 Frequency 4 3 2 1 0 0 to 10 11 to 20 21 to 30 31 to 40 41 to 50 Score [2] (b) On Monday and Tuesday, the probability that a train is late is 0.2 . Monday Tuesday Late 0.2 Late 0.2 Not late … Late 0.2 … Not late Not late … (i) Complete the tree diagram. [1] (ii) Use the tree diagram to find the probability that a train is (a) late on both days, … [2] (b) not late on Monday and late on Tuesday. … [2]

9 marks

Mark scheme: 8(a)(i) 3 2 5 4 1 2 B1 for 3 or 4 correct or all tallies correct if no frequencies are given or for 3 2 5 4 1 in tally column 8(a)(ii) Correct bar chart 2 FT their table B1FT for correct bar chart with one height incorrect or all heights correct but with inconsistent widths or gaps 8(b)(i) [0].8 in the three correct places 1 8(b)(ii)(a) [0].04 oe 2 M1 for [0].2 × [0].2 8(b)(ii)(b) [0].16 oe 2 FT their diagram M1 for their [0].8 × [0].2

This question in 0580/33 May/June 2021

2 (a) In one year, a theatre sells four hundred and ninety-six thousand and fifty tickets. Write this number in figures. … [1] (b) The theatre is used for performances of operas, plays, concerts and musicals. The pie chart shows information about the number of each type of performance. Operas 27° Musicals Plays Concerts (i) Complete these statements. The type of performance shown the most is … . The sector angle for this type of performance is … degrees. [2] (ii) Write down the percentage of performances that are plays. … % [1] (iii) The theatre is used for 320 performances in the year. Calculate the number of opera performances. … [2] (iv) The number of concert performances is in the ratio classical music : popular music = 7 : 5. There are 56 classical music concerts. Find the number of popular music concerts. … [2] (c) The table shows the prices of a child ticket and a senior ticket for a play. Adult Child Senior $ … $15.50 $35 Alex buys tickets for 2 adults, 3 children and 1 senior. He pays a total of $159.50 . Complete the table. [2] (d) Last week the cost of a ticket for a musical was $65. This week the same ticket costs $55.90 . Find the percentage reduction in the cost of this ticket. … % [2]

12 marks

Mark scheme: 2(a) 496 050 1 2(b)(i) Musicals 2 B1 for each 135 2(b)(ii) 25 1 2(b)(iii) 24 2 27 320 M1 for [× 320 ] oe or [× 27 ] oe 360 360 2(b)(iv) 40 2 56 M1 for [×k ] oe where k = 5 or 12 7 2(c) 39 2 M1 for 159.50 −×3 15.5 − 35 or better 2(d) 14 2 65 − 55.9 [ 0 ] M1 for [× 100] oe 65  55.9 [ 0 ]  or  1 −  [× 100 ] oe  65  55.9 [ 0 ] or [100 –] × 100 oe 65

This question in 0580/31 Oct/Nov 2021

1 (a) In a café at a train station, a cup of coffee costs $3.25 and a glass of cola costs $2.15 . Gary buys 2 cups of coffee and 4 glasses of cola. Work out how much change he receives from a $20 note. $ … [3] (b) Roy spends $37.80 in the café on food and drink in the ratio food : drink = 7 : 2. Work out how much he spends on food. $ … [2] (c) The price of a $48 train ticket is increased by 12%. Find the new price of the ticket. $ … [2] (d) Here is part of the timetable for trains from Washby to Dunstley. All trains take the same time to travel from Washby to Dunstley. Washby 09 18 11 05 Dunstley 10 03 … Complete the timetable. [2] (e) On one day, Washby station sells 28 senior tickets, 192 adult tickets and some child tickets. Senior tickets 42° Complete the pie chart to show this information. [3]

12 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 4.9[0] cao 3 M2 for 20 − (2 × 3.25 + 4 × 2.15) oe or M1 for 2 × 3.25 or 4 × 2.15 1(b) 29.4[0] cao 2 37.8 M1 for [× k] where k = 1, 2 or 7 7 + 2 1(c) 53.76 cao 2  12  M1 for 48 ×  1 +  oe  100  or B1 for 5.76 1(d) 11 50 2 B1 for 45 [min], 1 h 47 [min] or 107 [min] 1(e) Correct pie chart drawn 3 42 M2 for 192 × oe 28 or 42 M1 for oe 28

This question in 0580/32 Oct/Nov 2021

2 (a) The bar chart shows the number of cars sold by a garage in each of six months. 16 14 12 10Number of cars sold 8 6 4 2 0 Jan Feb Mar Apr May Jun Jul Month (i) In July, 11 cars were sold. Complete the bar chart. [1] (ii) How many more cars were sold in March than in May? … [1] (b) These are the opening times of the garage. Monday to Friday 8.30 am to 5.30 pm Saturday 8.30 am to 1.00 pm Sunday Closed Work out how many hours the garage is open in one week. … h [2] (c) Mohammed works at the garage. He works for 36 hours from Monday to Friday and for 2 hours on Saturday. He is paid $10.50 per hour from Monday to Friday. On Saturday he is paid 1 12 times this rate. Calculate how much Mohammed is paid for this week. $ … [3] (d) Viktor is saving to buy a car. He invests $8000 for 5 years at a rate of 2.4% per year compound interest. Calculate the value of Viktor’s investment at the end of the 5 years. Give your answer correct to the nearest dollar. $ … [3] (e) At the garage, Pierre, Luigi and Freda sell cars. They share a bonus of $12 000 in the ratio Pierre : Luigi : Freda = 8 : 4 : 3. Calculate the amount they each receive. Pierre $ … Luigi $ … Freda $ … [3]

13 marks

Mark scheme: 2(a)(i) Bar at height 11 1 2(a)(ii) 9 1 2(b) 49.5 2 M1 for 5 × 9 + 4.5 oe 2(c) 409.5[0] cao 3 M2 for 36 × 10.5 + 10.5 × 1.5 × 2 oe or M1 for 36 × 10.5 or 10.5 × 1.5 × 2 or 36 + 1.5 × 2 oe 2(d) 9007 cao nfww 3 B2 for 9007.[...] 2.4 or M1 for 8000 × (1 + )5 oe 100 If M0 or M1 scored, SC1 for their decimal answer correctly rounded to the nearest dollar 2(e) 6400 3 B2 for one correct answer in the correct 3200 place 2400 or M1 for 12 000 ÷ (8+4+3) [× k] where k is 8, 4, 3 or 1

This question in 0580/33 Oct/Nov 2021

6 (a) Jean asks 600 people to choose their favourite sport. The pie chart shows some of this information. Football 105° 60° 27° Tennis Rugby (i) Show that 100 people choose tennis. [1] (ii) Work out how many people choose rugby. … [2] (iii) 125 people choose cricket and the rest choose swimming. Complete the pie chart to show this information. [2] (iv) One of the 600 people is picked at random. Find the probability that this person chooses tennis or cricket. Give your answer as a fraction in its simplest form. … [2] (b) There are 80 people in a group. H = {people who play hockey} N = {people who play netball} 36 people play hockey. 53 people play netball. 8 people do not play hockey or netball. H N Complete the Venn diagram. [3]

10 marks

Mark scheme: 6(a)(i) 60 1 × 600 oe 360 6(a)(ii) 45 2 27 M1 for × 600 oe 360 6(a)(iii) Correct straight line on the pie chart 2 B1 for 75 6(a)(iv) 3 2 100 + 125 75 + 60 cao M1 for oe or oe 8 600 360 6(b) 3 B1 for 8 H N B1 for 17 19 17 36 B1 for total in H equals 36 and total in N equals 53 provided H ∩ N ≠ Ø 8 If 0 scored, SC1 for 36 – x + x + 53 – x + 8 = 80 or better

This question in 0580/33 Oct/Nov 2021

3 24 people own a car. (a) Ranjit asks each of these 24 people the colour of their car. The bar chart shows some of these results. 8 7 6 5 Frequency 4 3 2 1 0 Black Blue Red Green White Colour (i) Complete the bar chart by drawing the bar for the colour red. [2] (ii) Write down the mode. … [1] (iii) How many more people have a green car than have a blue car? … [1] (b) The table shows the size, in litres, of each of the 24 car engines. Engine size (litres) 0.8 1.2 1.5 1.8 2.4 Frequency 7 4 5 6 2 Calculate the mean. … litres [3] (c) Ranjit also asks each of the 24 people what type of car they have. The pie chart shows some of these results. Electric 60° 105° Hybrid (i) Work out the number of hybrid cars. … [2] (ii) The rest of the cars are either petrol or diesel. There are 8 petrol cars. Complete the pie chart to show this information. [2]

11 marks

Mark scheme: 3(a)(i) Bar at 6 with correct width 2 M1 for 24 – 6 – 2 – 7 – 3 oe 3(a)(ii) Green 1 FT their bar chart 3(a)(iii) 5 1 3(b) 1.4[0] or 1.395 to 1.396 3 M1 for 0.8×7 + 1.2×4 + 1.5×5 + 1.8×6 + 2.4×2 oe M1dep for their 33.5 ÷ 24 3(c)(i) 7 2 105 M1 for  24 oe 360 3(c)(ii) Correct sector with line at 120° 2 B1 for 120 soi

This question in 0580/32 Oct/Nov 2022

2 (a) The bar chart shows the number of people who visit a beach in each month in one year. 700 600 500 400 Number of people 300 200 100 0 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Month (i) Estimate the number of people who visit the beach in November. … [1] (ii) The table shows the average daytime temperature, in °C, in each month at the beach in the same year. Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Temperature 32.5 32 29.7 25.5 24.6 20.8 19.5 19.2 23.4 24.8 32.1 32.5 (°C) Mario says that more people visit the beach when the temperature is warmer. Is he correct? Explain your answer by comparing the bar chart and the table. … because … … [1] (b) The scale drawing shows the positions of two lifeguards, L and M, on a beach. The scale is 1 centimetre represents 50 metres. North L North M Scale: 1 cm to 50 m (i) Find the actual distance between L and M. … m [2] (ii) Measure the bearing of M from L. … [1] (iii) A boat, B, is 300 metres from M on a bearing of 068°. On the scale drawing, mark the position of B. [2]

7 marks

Mark scheme: 2(a)(i) Any integer between 660 and 690 1 2(a)(ii) Yes, tallest bars [[Nov], Dec and Jan] 1 occur when temperature is at its highest oe 2(b)(i) 365 2 B1 for 7.3 or M1 for their 7.3  50 2(b)(ii) 143 1 2(b)(iii) B correctly placed 2 M1 for B on bearing of 068 from M or for B 6 cm from M

This question in 0580/33 Oct/Nov 2022

1 (a) The table shows some information about the opening hours of a café. The café opens 4 days a week. Number of Day Opening time Closing time hours open Thursday 8 am 4.30 pm Friday 8.30 am 7 12 Saturday 9.30 am 5.30 pm 8 Sunday 3.30 pm 5 Total number of 29 hours open Complete the table. [3] (b) (i) A waiter works 29 hours a week in the café. He is paid $9.50 per hour. He is paid for 52 weeks of the year. Work out his total pay for the year. $ … [2] (ii) The chef is paid 32% more than the waiter per hour. Work out how much the chef is paid per hour. $ … [2] (c) Here is part of the café’s menu. MENU Cup of coffee $2.50 Slice of pizza $3.70 Cup of tea $2.30 Raj buys 2 cups of coffee, 1 cup of tea and 3 slices of pizza. Calculate the change he receives from $20. $ … [3] (d) The chef records the types of baguettes the café sells in one day. salad cheese salad salad egg cheese cheese salad cheese egg salad cheese salad salad egg cheese salad salad egg salad cheese salad (i) Complete the frequency table to show this information. You may use the tally column to help you. Type of Tally Frequency baguette Cheese Egg Salad [2] (ii) On the grid, draw a bar chart to show this information. 12 11 10 9 8 7 Frequency 6 5 4 3 2 1 0 Cheese Egg Salad Type of baguette [2]

14 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 1 3 B1 for each 10.30 am, 4[.00] pm, 8 2 1(b)(i) 14 326 2 M1 for 29 × 9.5 × 52 or B1 for 1508 or 275.5 seen 1(b)(ii) 12.54 2 100 + 32 M1 for  9.5 oe 100 or B1 for 3.04 1(c) 1.6[0] 3 M2 for 20 − ( 2  2.5 + 2.3 + 3  3.7 ) oe or M1 for 2  2.5 + 2.3 + 3  3.7 oe or B1 for 5 and 11.1 seen 1(d)(i) 7, 4, 11 2 B1 for one or two correct frequencies If 0 scored, SC1 for all 3 tallies correct if frequency column blank or for all correct frequencies but in the tally column 1(d)(ii) Correct bar chart 2 FT their 1(d)(i) provided 3 positive integer values each less than 13 B1 for one bar correct or for one bar correct FT from their table

This question in 0580/32 Feb/March 2023

2 (a) Manjit asks 30 students whether they prefer joke books, puzzle books or poetry books. The results are shown in the table. Number of Pie chart sector Type of book students angle Joke 8 Puzzle 18 Poetry 4 (i) Complete the table. [2] (ii) Complete the pie chart. [2] (iii) One of the students is chosen at random. Find the probability that this student prefers puzzle books. … [1] (b) The stem-and-leaf diagram shows the test scores for 24 students. 2 2 5 6 9 3 3 7 8 4 2 3 5 5 7 8 5 1 1 1 5 6 8 9 6 0 2 5 7 Key : 4 | 2 represents 42 (i) Write down the mode. … [1] (ii) 75% of the 24 students pass the test. Work out the lowest score needed to pass the test. … [2] (iii) Work out the range. … [1] (iv) Frankie was absent on the day of the test. His score is not on the stem-and-leaf diagram. When he takes the test, his score increases the range by 3 marks. Write down the two possible values of Frankie’s score. … or … [2]

11 marks

Mark scheme: 2(a)(i) 96, 216, 48 2 B1 for one correct sector angle 360 or M1 for k k=1, 4, 8 or 18 30 2(a)(ii) Correct pie chart drawn 2 FT their table if angles add up to 360° B1FT for one correct sector drawn 2(a)(iii) 18 1 oe 30 2(b)(i) 51 1 2(b)(ii) 38 2 75 100 − 75 M1 for  24 or  24 100 100 2(b)(iii) 45 1 2(b)(iv) 19, 70 2 B1 for each

This question in 0580/32 Feb/March 2023

3 These are the test scores of 16 students. 15 26 9 45 36 20 41 39 40 23 32 18 41 34 37 31 (a) Complete the stem-and-leaf diagram. 0 1 2 3 4 Key: 1 5 represents 15 [2] (b) Find the mode. … [1] (c) Find the median. … [1] (d) Find the range. … [1] (e) Complete the bar chart for the test scores of the 16 students. 7 6 5 4 Number of students 3 2 1 0 0 to 9 10 to 19 20 to 29 30 to 39 40 to 49 Test score [2] (f) Work out the percentage of students with a test score of 40 or more. … % [1]

8 marks

Mark scheme: 3(a) 2 B1 for 3 fully correct rows 0 9 or for a fully correct unordered stem-and-leaf diagram 1 5 8 2 0 3 6 3 1 2 4 6 7 9 4 0 1 1 5 3(b) 41 1 3(c) 33 1 3(d) 36 1 3(e) Correct bar chart 2 FT their stem-and-leaf diagram B1FT for 3 correct or follow through heights 3(f) 25 1 their k FT × 100 from the bar 16 chart or from their stem-and-leaf diagram

This question in 0580/31 May/June 2023

2 (a) Mika counts the number of letters in each of the 61 words in a paragraph. Some of his results are shown in the table and bar chart. Number of letters 1 2 3 4 5 6 Frequency 7 12 15 5 15 14 13 12 11 10 9 Frequency 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 Number of letters (i) Complete the table and the bar chart. [3] (ii) Write down the mode. … [1] (b) Grace also counts the number of letters in each word of another paragraph. Her results are shown in the table. Number of letters 1 2 3 4 5 6 Frequency 10 18 9 6 5 2 (i) Work out the mean. … [3] (ii) She picks one of these words at random. Find the probability that it has more than three letters. … [2] (c) She counts the number of letters in each word in the next sentence. These are her results. 3 4 1 7 9 2 6 5 4 2 3 2 (i) Find the median. … [2] (ii) Find the range. … [1]

12 marks

Mark scheme: 2(a)(i) 14 8 3 B1 for frequency 14 Bars with heights 12 and 8 B1 for frequency 8 or 22 – their 14 B1FT for bars of heights 12 and their 8 2(a)(ii) 4 1 2(b)(i) 2.68 3 M1 for 1×10 + 2×18 + 3×9 + 4×6 + 5×5 + 6×2 oe their134 M1dep for oe 10  18  9  6  5  2 2(b)(ii) 13 2 M1 for 6 + 5 + 2 or better oe 50 2(c)(i) 3.5 cao 2 M1 for 1 2 2 2 3 3 4 or 3 4 4 5 6 7 9 or 3 and 4 identified 2(c)(ii) 8 1

This question in 0580/32 May/June 2023

3 (a) The bar chart shows the country in which each of 80 students live. 24 20 16 Frequency 12 8 4 0 Australia Brazil China India USA Country (i) How many of these students live in Brazil? … [1] (ii) In which country do the largest number of these students live? … [1] (iii) How many more of these students live in China than live in Australia? … [1] (iv) Find the percentage of these students who live in the USA. … % [2] (b) In Hobart, the temperature at 8 am was -3 °C and the temperature at 3 pm was 7 °C. (i) Find the difference in the temperatures between 8 am and 3 pm. … °C [1] (ii) The temperature at 10 pm was 12 °C lower than at 3 pm. Find the temperature at 10 pm. … °C [1] (c) The table shows the favourite language that each of 80 students studies. Language Frequency French 12 Spanish 26 English 42 Total 80 Complete the pie chart to show this information. [4]

11 marks

Mark scheme: 3(a)(i) 9 1 3(a)(ii) India 1 3(a)(iii) 7 1 3(a)(iv) 23.75 2 19 M1 for [ 100] 80 3(b)(i) 10 1 3(b)(ii) −5 1 3(c) Correct pie chart 4 B3 for 2 correct sectors or B2 for 1 correct sector or for 54°, 117° and 189° 360 k or M1 for or 4.5 or  360 80 80 (k = 12, 26 or 42)

This question in 0580/31 Oct/Nov 2023

1 (a) The bar chart shows the number of goals scored by a team in each of 5 months. 22 20 18 16 14 12 Frequency 10 8 6 4 2 0 Sept Oct Nov Dec Jan Feb Month (i) In February, 12 goals are scored. Complete the bar chart. [1] (ii) How many more goals were scored in January than in October? … [1] (b) Find the range of the number of goals scored. … [1] (c) (i) The team shop is open from 09 00 to 17 15 on Monday to Friday only. Work out how long the shop is open each week. Give your answer in hours and minutes. … h … min [3] (ii) Bruno buys a shirt for $36 and a scarf for $12.25 . He pays with a $50 note. Work out how much change he receives. $ … [2] (d) Ticket prices Adult $35 Child $20 Senior $25 (i) Calculate the cost of 150 adult tickets, 70 child tickets and 30 senior tickets. $ … [3] (ii) Calculate the percentage of these tickets that are senior tickets. … % [2] (e) A game starts at 15 00. The team plays for 90 minutes. There is also a break of 15 minutes. Find the time the game ends. … [2]

15 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) Bar to 12 1 1(a)(ii) 11 1 1(b) 14 1 1(c)(i) 41 [h] 15 [min] 3 1 B2 for 41.25 or 41 or 40 hr 75 [mins] 4 1 or B1 for 8.25 or 8 or 8 h 15 [min] or 4 495 [min] or M1 for 7.25  5 oe or 9.25  5 oe OR SC2 for 57 [h] 45 [min] 1(c)(ii) 1.75 2 M1 for 50 – (36 + 12.25) oe or B1 for 48.25 1(d)(i) 7400 3 M2 for 35  150 + 20  70 + 25  30 oe or M1 for two of 35  150, 20  70 or 25  30 oe 1(d)(ii) 12 2 30 M1 for  100 oe 150 + 70 + 30 1(e) 16 45 or 4.45 pm 2 M1 for 15 00 + 90 [min] + 15 [min] oe

This question in 0580/32 Oct/Nov 2023

5 Heidi records the colour of each of 500 cars crossing a bridge. The pie chart shows some of this information. Grey Red Other (a) How many cars are red? … [1] (b) 35 cars are grey. Show, by calculation, that the sector angle for grey is 25.2°. [1] (c) 175 cars are white and 150 cars are black. Complete the pie chart to show this information. [2] (d) Find the probability that a car chosen at random is not grey. Give your answer as a fraction in its simplest form. … [2] (e) Another 320 cars cross the bridge. How many of these 320 cars are expected to be white? … [2] (f) Heidi also records the number of people in each car crossing the bridge for one hour. Number of people Frequency 1 20 2 6 3 0 4 15 5 8 6 12 Calculate the mean. … [3]

11 marks

Mark scheme: 5(a) 125 1 5(b) 35 M1  360 500 5(c) Correct pie chart 2 B1 for 126º or 108º 5(d) 93 2 500 – 35 360 – 25.2 cao M1 for oe or oe 100 500 360 7 If 0 scored, then SC1 for final answer of 100 5(e) 112 2 175 126 M1 for  320 oe or  320 oe 500 360 5(f) 21 3 M1 for (1  20) + (2  6) + [3  0] + (4  15) + 3.34 or 3.344… or 3 61 (5  8) + (6  12) M1dep for their  fx  ( 20 + 6 + 0 + 15 + 8 +12 ) oe

This question in 0580/32 Oct/Nov 2023

4 (a) A shop sells 58 televisions in one week. The bar chart shows the number of televisions that the shop sells on five of the days. 16 14 12 10 Number of 8 televisions 6 4 2 0 Monday Tuesday Wednesday Thursday Friday Saturday Sunday (i) Write down the number of televisions that the shop sells on Monday. … [1] (ii) Find the fraction of the televisions that the shop sells on Sunday. … [1] (iii) The number of televisions that the shop sells on the other two days is in the ratio Wednesday : Friday = 2 : 3. Complete the bar chart. [4] (iv) Write down the mode. … [1] (b) A television has a price of $550. This price is reduced by 4%. Calculate the new price of this television. $ … [2] (c) The scatter diagram shows the prices of different sized televisions. Price Television size Write down the type of correlation shown in the scatter diagram. … [1] (d) Hemang buys two televisions. The probability that a television is faulty is 0.02 . 1st television 2nd television faulty … faulty 0.02 not faulty … faulty … … not faulty not faulty … (i) Complete the tree diagram. [2] (ii) Find the probability that Hemang buys two faulty televisions. … [2] (iii) The shop sells 4150 televisions in one year. Calculate the expected number of faulty televisions. … [1]

15 marks

Mark scheme: 4(a)(i) 3 1 4(a)(ii) 11 1 cao 58 4(a)(iii) Completely correct bar chart 4 B3 for a bar height 8 drawn for Wednesday or a bar height 12 drawn for Friday. or 58 −−3 4 − 4 − 16 − 11 M2 for  k , 2 + 3 k = 1,2 or 3 or M1 for 58 −−−−3 4 4 16 − 11 oe If 0 scored SC1 for 2 bars drawn correctly from their identified values in working 4(a)(iv) Saturday 1 4(b) 528 2  4  M1 for 550   1 −  oe  100  or B1 for 22 4(c) Positive 1 4(d)(i) 0.02 2 B1 for 0.98 correctly placed once on tree 0.98 or for 0.02 correctly placed twice on tree. 0.98 0.02 0.98 oe 4(d)(ii) 0.0004 oe 2 M1 for 0.02 × 0.02 4(d)(iii) 83 1

This question in 0580/32 Feb/March 2024

4 (a) Anton records the number of pets owned by each of 50 families. The table shows some of his results. Number of pets 0 1 2 3 4 5 Number of families 5 12 15 9 There are twice as many families with 4 pets than with 5 pets. (i) Complete the table. [3] (ii) Complete the bar chart. 16 14 12 10 Number of 8 families 6 4 2 0 0 1 2 3 4 5 Number of pets [2] (iii) Write down the mode. … [1] (iv) Calculate the mean. … [3] (b) 80 of the pets owned by the families are cats, rabbits or hamsters. The table shows the number of each pet. Type of pet Number of each pet Pie chart sector angle Cat 38 Rabbit 28 Hamster 14 (i) Complete the table. [2] (ii) Complete the pie chart. [2] (iii) One of the pets is chosen at random. Find the probability that a rabbit is chosen. … [1]

14 marks

Mark scheme: 4(a)(i) 6 3 3 M2 for (50 – (5 + 12 + 15 + 9)) ÷ 3 or M1 for 50 – (5 + 12 + 15 + 9) 4(a)(ii) Correct bar chart 2 FT their table entry for 4 and 5 pets B1 for 3 or 4 correct heights 4(a)(iii) 2 1 4(a)(iv) 2.16 3 M1 for [0 × 5] + (1 × 12) + (2 × 15) + (3 × 9) + (4 × their6) + (5 × their3) M1 dep for (their∑fx) ÷ 50 4(b)(i) 171 2 B1 for one correct angle 126 360 or M1 for k where k = 1, 38, 28 or 63 80 14 4(b)(ii) Correct pie chart drawn 2 2FT provided the sum of their 3 angles is 360° B1FT for one correct sector drawn, or one correct FT sector drawn 4(b)(iii) 7 1 oe 20

This question in 0580/32 May/June 2024

1 (a) 40 football players vote on the colour of new shirts. The results for red, yellow and green are shown in the bar chart. 12 11 10 9 8 7 Frequency 6 5 4 3 2 1 0 Red Yellow Green Blue Orange (i) Twice as many football players vote blue than vote orange. Complete the bar chart. [3] (ii) Write down the mode. … [1] (b) 40 hockey players vote on the colour of new shirts. The table shows the results. Colour Frequency White 21 Grey 12 Pink 7 (i) Complete the pie chart. [4] (ii) Work out the percentage of hockey players who vote grey. … % [1]

9 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) Correct bars at [blue] 10 and [orange] 5 3 M1 for 40 – their(11 + 6 + 8) oe M1 for their 15 ÷ (1 + 2) oe 1(a)(ii) Red 1 1(b)(i) Correct pie chart 4 B2 for correct angles 189, 108, 63 soi or B1 for 1 correct angle soi 360 or M1 for k where k is 1, 21, 12 or 40 7 AND B2FT for two correct FT sectors drawn provided the sum of their 3 stated angles is 360 or B1FT for one correct sector drawn or one correct FT sector drawn 1(b)(ii) 30 1

This question in 0580/33 May/June 2024

5 (a) Students solve a puzzle by making guesses. The table shows the number of guesses that each of 40 students make. Number of guesses 1 2 3 4 5 6 Frequency 2 4 8 7 12 7 (i) Find the mode. … [1] (ii) Calculate the mean. … [3] (b) In another puzzle each student gets a score. These are the scores for 12 students. 17 21 24 32 27 11 26 18 10 29 14 24 (i) Complete the stem-and-leaf diagram for these scores. 1 2 3 Key : 1 | 7 represents 17 [2] (ii) Find the median. … [1] (c) A different puzzle has three outcomes: win, draw or lose. The table shows the outcomes for 30 students. Outcome Frequency Win 9 Draw 14 Lose 7 Complete the pie chart to show this information. [4]

11 marks

Mark scheme: 5(a)(i) 5 1 5(a)(ii) 4.1 3 M1 for 1×2 + 2×4 + 3×8 + 4×7 + 5×12 + 6×7 M1dep for their 164 ÷ 40 5(b)(i) 2 B1 for correct unordered diagram or for ordered diagram with one error or omission 5(b)(ii) 22.5 1 FT their (b)(i) dep. on an ordered diagram 5(c) Correct pie chart 4 B3 for 2 or 3 of 108°, 168° and 84° seen and 1 correct sector drawn or B2 for 2 or 3 of 108°, 168° and 84° seen or 1 correct sector drawn or B1 for 1 of 108°, 168° and 84° seen or M1 for 36030 [× k] ( where k = 1, 7, 9 or 14) implied by 12 If 0 scored B2FT FT their angles for correct pie chart drawn if angles add to 360 or B1FT for one correct sector drawn

This question in 0580/32 Oct/Nov 2024

3 (a) A wedding invitation is in the shape of a rectangle. Draw the lines of symmetry on this rectangle. [2] (b) There are 98 adults and 56 children at the wedding. Find the fraction of people who are children. Give your fraction in its simplest form. … [2] (c) The wedding meal starts at 13 15 and lasts for 2 hours 50 minutes. Find the time the meal ends. … [1] (d) The probability that it will rain at the wedding is 0.12 . Find the probability that it will not rain. … [1] (e) (i) These are the ages of the staff at the wedding. 16 24 39 28 17 48 31 33 17 29 40 25 Complete the stem-and-leaf diagram. 1 2 3 4 Key: 1|6 represents 16 [2] (ii) Find the range. … [1]

9 marks

Mark scheme: 3(a) 2 correct lines only 2 B1 for one correct line with no extras or 2 correct and 1 extra 3(b) 4 2 M1 for 98 + 56 cao 11 3(c) 16 05 1 3(d) 0.88 1 3(e)(i) 1 6 7 7 2 B1 for two or three rows correct or a fully 2 4 5 8 9 correct unordered stem-and-leaf diagram 3 1 3 9 4 0 8 3(e)(ii) 32 1 FT their (e)(i) dep. on an ordered table

This question in 0580/33 Oct/Nov 2024

5 (a) Kurt owns some toy cars of different colours. The pictogram shows the number of each colour. Colour Number of toy cars Red Yellow Green Blue White Other Key: = 8 cars (i) Write down the colour of toy car that Kurt owns most of. … [1] (ii) Find the number of yellow toy cars that Kurt owns. … [1] (iii) Find how many more red toy cars than white toy cars Kurt owns. … [1] (b) A toy car costs $12.40 in the USA and 11.50 euros in Spain. The exchange rate is 1 euro = $1.12 . Calculate the difference in the cost of the toy car in euros. Give your answer correct to 2 decimal places. … euros [3] (c) Leo owns some toy vehicles. He owns 57 cars, 12 bicycles and 42 trucks. Find the ratio of the number of cars : bicycles : trucks in its simplest form. … : … : … [2] (d) Leo keeps his toy vehicles on a shelf. (i) The shelf is in the shape of a right-angled triangle. NOT TO SCALE 0.75 m y m The area of the shelf is 0.3 m2. Calculate the value of y. y = … [2] (ii) The shelf is 1.35 metres from the floor. Change 1.35 metres into centimetres. … cm [1]

11 marks

Mark scheme: 5(a)(i) Blue 1 5(a)(ii) 18 1 5(a)(iii) 20 1 5(b) 0.43 cao 3 B2 for 0.429 or 0.428[5…] Or 12.4 M2 for 11.50 – oe 1.12 11.50 1.12 − 12.4 or oe 1.12 12.4 or M1 for soi by 11.07… 1.12 If 0 or M1 scored SC1 for correct rounding to 2dp from their more accurate answer 5(c) 19 : 4 : 14 cao 2 M1 for correct ratio not in its simplest form 5(d)(i) 0.8 2 1 M1 for y 0.75 = 0.3 or better 2 5(d)(ii) 135 1

This question in 0580/33 Oct/Nov 2024

12 Mo asks some people if they prefer sun, rain or wind. The pie chart shows the results. Wind 95° Sun 80° Rain 45 more people prefer wind than rain. Work out how many people prefer sun. … [4]

4 marks

Mark scheme: 12 555 4 360 − 95 − 80 M3 for  45 oe 95 − 80 95 − 80 45 or M2 for or oe 45 95 − 80 or M1 for 360 − 95 − 80 or 95 − 80  45 oe

This question in 0580/32 Feb/March 2025

1 The pictogram shows the number of goals scored by teams A, B and C. Team Goals A B C D Key : represents 4 goals (a) Work out the number of goals scored by team B. … [1] (b) Teams A, B, C and D scored a total of 43 goals. Complete the pictogram. [3]

4 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 19 1 1(b) 5 correctly shown in diagram 3 B2 for 5 OR B1 for 38 OR M1 for 43 – (13 + 19 + 6) oe B1 for a correct diagram from their 5

This question in 0580/31 May/June 2025

12 Kai opens his restaurant from Tuesday to Saturday each week. He counts the number of customers each day for two weeks. The bar chart shows some of the results. 70 60 50 Number of 40 customers 30 20 10 0 Tue Wed Thur Fri Sat Day Key: = Week 1 = Week 2 (a) In week 1 there were 200 customers in total. Complete the bar chart. [2] (b) Write down the mode for week 2. … [1] (c) Find the mean number of customers for the 5 days in week 2. … [2]

5 marks

Mark scheme: 12(a) Bar drawn in correct position with height 2 M1 for 200 – (20 + 30 + 50 + 60) soi 40 12(b) 40 1 12(c) 48 2 30 + 40 + 40 + 70 + 60 M1 for oe 5

This question in 0580/33 May/June 2025

12 300 students choose where to go on a trip. The students choose either a zoo, a museum, an art gallery or a sports stadium. Zoo Museum (a) Show that 75 students choose the museum. [1] (b) 45 students choose the art gallery and 120 students choose the sports stadium. Complete the pie chart to show this information. [2]

3 marks

Mark scheme: 12(a) 90 1 × 300 360 12(b) Correct pie chart 2 360 M1 for × k oe where k is 1 or 45 or 120 300

This question in 0580/31 Oct/Nov 2025

12 The table shows the results of a survey about the colour of 90 cars in a car park. Colour of car Frequency Pie chart sector angle Black 16 White 34 Other 40 (a) Complete the table. [2] (b) Complete the pie chart. [2]

4 marks

Mark scheme: 12(a) 64 2 B1 for 1 correct 136 160 360 or M1 for × k (k = 1, 16, 34 or 40) oe 90 12(b) Accurate pie chart 2 B2FT if their angles add up to 360° or B1FT for one correct sector or one correct FT sector (may or may not add up to 360°)

This question in 0580/32 Oct/Nov 2025

7 200 175 150 125 100 90 Number of 80 cars sold 70 60 50 40 30 20 10 0 Mar Apr May Months A newspaper prints this bar chart to show the number of cars sold by a garage in March, April and May. Give two reasons why the bar chart is incorrect. 1 … … 2 … … [2]

2 marks

Mark scheme: 7 Bar width not equal oe 2 B1 for each Scale not linear oe

This question in 0580/33 Oct/Nov 2025