Statistical charts and diagrams — Paper 1 · IGCSE Mathematics 0580

16 For Examiner's Use NOT TO Red SCALE Blue 96° 120° 60° Yellow Green In a survey a number of people chose their favourite colour. The results are shown in the pie chart. (a) Calculate the size of the sector angle for green. Answer(a) [1] (b) The number of people who chose red is 16. Calculate the number who chose yellow. Answer(b) [1] (c) Calculate the total number of people in the survey. Answer(c) [1] (d) Write down the fraction who chose red. Answer(d) [1]

4 marks

Mark scheme: 16 (a) 84° 1 Check diagram (b) 10 1 (c) 60 1ft ft their (b) × 6 where (b) is an integer 96 16 16 (d) or 1ft ft oe where (c) is an integer 360 60 their (c) ( ) 6 

This question in 0580/11 May/June 2011

20 For School 900 Examiner's Use 800 700 600 500 Distance (metres) 400 300 Friend’s house 200 100 Home 0 08 00 08 05 08 10 08 15 08 20 08 25 08 30 Time The graph shows part of Ali’s journey from home to his school. The school is 900 m from his home. He walks 200 m to his friend’s house and waits there. He then takes 20 minutes to walk with his friend to their school. (a) Complete the travel graph showing Ali’s journey. [1] (b) How long does he wait at his friend’s house? Answer(b) min [1] (c) Calculate the average speed for Ali’s complete journey from home to his school. Give your answer in kilometres per hour. Answer(c) km/h [4]

6 marks

Mark scheme: 20 (a) Straight ruled line from 1 (08 10, 200) to (08 30, 900) (b) 5 1 (c) 1.8 4 M1 for total distance ÷ total time M1 for converting time to hours M1 for converting metres to km

This question in 0580/13 May/June 2011

20 In a survey of 60 cars, the type of fuel that they use is recorded in the table below. For Examiner's Each car only uses one type of fuel. Use Petrol Diesel Liquid Hydrogen Electricity 40 12 2 6 (a) Write down the mode. Answer(a) [1] (b) Olav drew a pie chart to illustrate these figures. Calculate the angle of the sector for Diesel. Answer(b) [2] (c) Calculate the probability that a car chosen at random uses Electricity. Write your answer as a fraction in its simplest form. Answer(c) [2]

5 marks

Mark scheme: 20 (a) Petrol cao 1 (b) 72 2 M1 for 360 × 12 ÷ 60 1 6 3 2 (c) 2 B1 or or or 0.1 or 10% 10 60 30 20

This question in 0580/12 Oct/Nov 2011

20 (a) Colin has some seeds. For The probability a seed will grow is 0.85 . Examiner's Use Find the probability that a seed will not grow. Answer(a) [1] (b) Richard grows flowers. Some of his flowers are chosen at random. The colours are recorded in the table below. Colour of Relative Frequency flower Frequency Red 20 0.16 Blue 15 Yellow 35 Other 55 (i) Complete the table to show the relative frequency of each colour. [2] (ii) Richard grows 800 flowers in total. Estimate how many of these flowers are red. Answer(b)(ii) [2]

5 marks

Mark scheme: 20 (a) [0].15 oe 1 (b) (i) 0.12, 0.28, 0.44 oe 2 M1 for division of 15, 35 or 55 by their 125 Or B1 for 1 correct (ii) 128 2 M1 for 800 × [0].16

This question in 0580/13 May/June 2012

4 The pictogram shows information about the numbers of different drinks sold in a café in one hour. Coffee Tea Hot chocolate Juice Key: represents 4 cups (a) In this hour, 14 cups of hot chocolate were sold. Complete the pictogram using this information. [1] (b) How many more cups of coffee than cups of tea were sold? Answer(b) … [1] _____________________________________________________________________________________

2 marks

Mark scheme: 4 (a) 3.5 symbols in hot chocolate row 1 (b) 7 1 5 √

This question in 0580/12 Oct/Nov 2013

8 Bruce plays a game of golf. His scores for each of the 18 holes are shown below. 2 3 4 5 4 6 2 3 4 4 5 3 4 3 5 4 4 4 The information is to be shown in a pie chart. Calculate the sector angle for the score of 4. Answer … [2] _____________________________________________________________________________________

2 marks

Mark scheme: 8 8 160 2 M1 for × 360 18

This question in 0580/12 Oct/Nov 2013

18 Michelle sells ice cream. The table shows how many of the different fl avours she sells in one hour. Flavour Vanilla Strawberry Chocolate Mango Number sold 6 8 9 7 Michelle wants to show this information in a pie chart. Calculate the sector angle for mango. Answer … [2] __________________________________________________________________________________________

2 marks

Mark scheme: 7 18 84 2 M1 for or 6 + 8 + 9 + 7 360 6 + 8 + 9 + 7

This question in 0580/13 May/June 2014

23 (a) The pie chart shows how 120 students travel to school. Car Bus 138° Cycle Walk (i) Measure the sector angle for the students who travel to school by car. Answer(a)(i) … [1] (ii) What fraction of the students cycle to school? Answer(a)(ii) … [1] (iii) Calculate how many students walk to school. Answer(a)(iii) … [2] (b) Wei records the number of children living in each of the houses in a street. Her results are recorded in the table. Number of Frequency children 0 3 1 3 2 8 3 5 4 4 5 2 Calculate the mean number of children per house. Answer(b) … [3] __________________________________________________________________________________________

7 marks

Mark scheme: 23 (a) (i) 60 1 90 (ii) oe 1 360 (iii) 46 2 M1 for 138 × 120 360 (b) 2.4 nfww 3 M1 for (0 × 3)+ (1 × 3) + (2 × 8) + (3 × 5) + (4 × 4) + (5 × 2) implied by 60 M1dep for their 60 ÷ 25

This question in 0580/13 Oct/Nov 2015

24 Some children were asked to choose their favourite type of pet. The pie chart shows the results. Fish Hamster Cat 123° Rabbit (a) 41 children chose Cat. Work out how many children were asked altogether. … [2] (b) Work out how many children chose Hamster. … [2]

4 marks

Mark scheme: 41 123 24 (a) 120 2 M1 for [ 360 ] oe or 1 23× 41 (b) 25 cao 2 B1 for 75

This question in 0580/12 Feb/March 2016

21 45 members of an athletics club were asked to choose a colour for their club vests. The choices were red, blue and green. The pie chart shows the sector for the number of members who chose red. Red (a) (i) Measure the sector angle for red. … [1] (ii) Calculate the number of members who chose red. … [2] (b) 24 members chose blue. Calculate the sector angle for blue. … [2] (c) Complete the pie chart. [1] (d) What colour should the athletics club choose for their club vests? Give a reason for your answer. … because … [1]

7 marks

Mark scheme: 21 (a) (i) 120 1 (ii) 15 2 M1 for their 120 ÷ 360 [ × 45] or 45 ÷ 360 [ × their 120] (b) 192 2 M1 for 24 ÷ 45 [ × 360] (c) Line giving angles of 192° and 1FT FT their 192 48° from given lines (d) Blue and an acceptable reason 1

This question in 0580/13 May/June 2016

14 30 25 20 Number of students 15 10 5 0 A B C D E F Class The bar chart shows the number of students in each of the Classes A, B, C, D and F. (a) Write down how many more students there are in Class D than in Class B. … [1] (b) The total number of students in these six classes is 117. Draw the bar for Class E. [2]

3 marks

Mark scheme: 14 (a) 9 1 (b) Bar height 23 drawn 2 M1 for [117 –] 22 + 15 + 19 + 24 + 14 or B1 for 94 or 23 seen

This question in 0580/12 Feb/March 2017

20 Playing Eating Working Sleeping Watching TV The pie chart shows how Miranda spent her time yesterday. Work out how many hours she spent sleeping. … hours [3]

3 marks

Mark scheme: 20 9 3 B1 for 135°. their 135 M1 for × 24 oe 360  4 

This question in 0580/12 Feb/March 2017

19 (a) Juan asks 40 people which language they speak at home. The table shows the results. Pie chart Language Frequency sector angle English 18 162° French 11 Spanish 7 Other 4 Juan wants to draw a pie chart to show this information. (i) Complete the table. [3] (ii) Complete the pie chart. English 162° [1] (b) Mansoor also asks some people which language they speak at home. In Mansoor’s pie chart, the sector angle for Portuguese is 108°. Write down the fraction of these people who do not speak Portuguese at home. … [1]

5 marks

Mark scheme: 19(a)(i) 99° 3 B1 for each 63° 36° or M1 for 162 ÷ 18 or 360 ÷ 40 or better If zero scored, SC1 for 3 angles that add to 198 19(a)(ii) Correct labelled pie chart 1FT FT their table if their angles add to 198 19(b) 252 1 or better fraction isw 360

This question in 0580/11 Oct/Nov 2017

15 120 students choose what they want to do when they leave school. Their choices are shown in the table. Choice Number of students University 57 Training 45 Work 18 Complete the pie chart to show this information. Label each sector clearly. [4]

4 marks

Mark scheme: 15 Correct pie chart 4 B3 for correct chart no labels e.g. or for 2 correct sectors with or without labels or B2 for 3 correct angles seen (171°, 135° and 54°) or 3 correct percentages (47.5%, 37.5% and 15%) or M1 for method 57 57 e.g. × 360, 57 × 3 or × 100 oe 120 120 or one correct sector on the pie chart

This question in 0580/12 Oct/Nov 2018

25 Jason spends 480 minutes at school each day. The pie chart shows the time he spends in three of his lessons. Maths 45° English Science (a) Measure the sector angle for science. … [1] (b) Work out the time, in minutes, Jason spends in English. … min [2] (c) Jason spends 100 minutes in geography and the rest of the day is free time. Complete the pie chart. [2]

5 marks

Mark scheme: 25(a) 84˚ 1 25(b) 60 2 45 M1 for × 480 oe 360 25(c) [Geography] sector 75˚ 2 100 100 M1 for × 360 oe or × 45 480 their (b)

This question in 0580/13 May/June 2019

8 The table shows how children in Ivan’s class travel to school. Travel to school Number of children Walk 12 Car 7 Bicycle 9 Bus 4 Ivan wants to draw a pie chart to show this information. Find the sector angle for children who walk to school. … [2]

2 marks

Mark scheme: 8 135 2 12 M1 for [× 360 ] 12 + 7 + 9 + 4 360 or [× 12 ] oe 12 + 7 + 9 + 4

This question in 0580/12 Oct/Nov 2019

6 The 840 students in a school are asked if they want a change of school uniform. The results are shown in the pie chart. Do not know Yes 71° 114° 175° No Show that the number of students who said Yes is 266. [1]

1 marks

Mark scheme: 6 114 1 × 840 360

This question in 0580/12 May/June 2020

12 Fernando records the favourite sport of each of 20 people. football cricket rugby cricket rugby rugby football football rugby football cricket rugby tennis football tennis football rugby cricket football cricket (a) Complete the frequency table to show this information. You may use the tally column to help you. Favourite sport Tally Frequency Cricket Football Rugby Tennis [2] (b) Fernando wants to draw a pie chart to show this information. Work out the sector angle for football. … [2]

4 marks

Mark scheme: 12(a) 5 2 B1 for two or three correct 7 6 2 12(b) 126 2 their 7 M1 for [× 360 ] 20 or [ their 7 ×]360 20

This question in 0580/12 Oct/Nov 2020

10 The number of passengers on a bus is recorded each day for 14 days. 15 18 22 17 35 38 24 19 19 24 25 31 36 29 Complete the stem-and-leaf diagram. 1 2 3 Key: 1q5 represents 15 passengers [2]

2 marks

Mark scheme: 10 2 B1 for two rows correct or for a fully correct 1 5 7 8 9 9 unordered stem-and-leaf diagram or for a correct diagram with one leaf incorrect or 2 2 4 4 5 9 omitted 3 1 5 6 8

This question in 0580/12 Feb/March 2021

1 Zachary asks the 30 students in his class which is their favourite sport. The table shows the results. Netball Football Hockey Tennis 7 12 6 5 Complete the pictogram. Netball Football Hockey Tennis Key: represents 4 people [2]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1 Pictogram completed correctly 2 B1 for 2 rows completed correctly

This question in 0580/11 May/June 2021

1 Students at an activity centre choose one of four activities. The bar chart shows some of their choices. 8 7 6 5 Frequency 4 3 2 1 0 Climbing Hiking Swimming Woodcraft (a) 5 students choose hiking. Complete the bar chart. [1] (b) Write down the most popular activity. … [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) Correct bar height and width 1 1(b) Climbing 1 FT through their hiking bar

This question in 0580/11 May/June 2022

6 Sammy records the favourite hot drink of some students. He draws a bar chart to show this information. 10 8 6 Frequency 4 2 1 0 Hot Coffee Tea chocolate Write down two different reasons why his bar chart is incorrect. 1. … 2. … [2]

2 marks

Mark scheme: 6 Bars are not the same width oe 2 B1 for each. Frequency scale is not linear oe

This question in 0580/12 May/June 2022

10 These are the masses, in kg, of 12 parcels. 0.3 0.4 1.2 0.8 1.1 2.1 1.7 1.8 1.2 2.3 0.7 1.1 (a) Complete the stem-and-leaf diagram for the 12 parcels. 0 3 4 1 2 Key: 0 q3 represents 0.3 kg [2] (b) Find the median. … kg [1]

3 marks

Mark scheme: 10(a) 2 B1 for two rows correct or for fully 0 (3 4) 7 8 correct unordered stem-and-leaf diagram 1 1 1 2 2 7 8 or for a correct diagram with one error or omission 2 1 3 10(b) 1.15 1

This question in 0580/13 May/June 2022

13 The scatter diagram shows the number of visitors and the total amount spent, in thousands of dollars, at a zoo on each of eight days. 45 40 35 30 Total 25 amount spent 20 ($1000) 15 10 5 0150 200 250 300 350 400 450 500 550 600 Number of visitors (a) On one of the eight days there are 410 visitors. Find the total amount spent by visitors during this day. $ … [1] (b) Information for the ninth day is shown in the table. Number of visitors 175 Total amount spent ($1000) 9 Plot this information on the scatter diagram. [1] (c) Draw a line of best fit on the scatter diagram. [1] (d) On the tenth day the total amount spent is $22 000. Estimate the number of visitors on this day. … [1]

4 marks

Mark scheme: 13(a) 27 000 1 13(b) Point plotted at (175, 9) 1 13(c) Correct single ruled line of best fit 1 13(d) 300 to 350 1 FT their straight line of best fit provided positive gradient

This question in 0580/13 May/June 2022

11 Victoria records the colour of each of 240 cars leaving a car park. Some of this information is shown in the pie chart. Blue 27° Green (a) Show that 60 cars are blue. [1] (b) The rest of the cars are either red or white. 110 cars are red. Complete the pie chart to show this information. [2]

3 marks

Mark scheme: 11(a) 90 1 × 240 oe 360 11(b) Ruled line giving 2 110 90 M1 for  360 or  110 oe sector as 165° 240 60

This question in 0580/11 Oct/Nov 2022

7 Jo counts the number of each type of nut in a bag. The pie chart shows the results. Peanuts Hazelnuts 108° 120° Almonds Brazil nuts (a) Measure the size of the angle for the peanuts. … [1] (b) What fraction of the nuts are almonds? Give your answer in its simplest form. … [1] (c) There are 45 hazelnuts in the bag. Calculate the total number of nuts in the bag. … [2]

4 marks

Mark scheme: 7(a) 48 1 7(b) 1 1 cao 3 7(c) 150 2 45 M1 for  360 oe 108

This question in 0580/13 Oct/Nov 2022

11 Sarah records the number of people who play golf on each of 14 days. 28 46 54 71 70 65 49 50 64 77 68 72 45 58 (a) Complete the stem-and-leaf diagram. 2 3 4 5 6 7 Key : 2 8 represents 28 [2] (b) Find the median. … [1]

3 marks

Mark scheme: 11(a) 2 B1 for three rows fully correct 2 8 or for a correct unordered stem-and-leaf diagram 3 4 5 6 9 5 0 4 8 6 4 5 8 7 0 1 2 7 11(b) 61 1

This question in 0580/12 Feb/March 2024

13 There are 20 cars in a car park and 3 of the cars are blue. (a) James wants to draw a pie chart to show this information. Find the angle of the sector for the blue cars in this pie chart. … [2] (b) One of the 20 cars is picked at random. Find the probability that this car is not blue.

3 marks

Mark scheme: 13(a) 54 2 3 M1 for [ 360 ] oe or 360[ 3 ] oe 20 20 13(b) 17 1 oe 20

This question in 0580/12 Feb/March 2024

9 A delivery driver records the number of pizzas she delivers each month for one year. 48 44 39 28 57 22 36 41 54 57 49 52 (a) Complete the stem-and-leaf diagram. 2 3 4 5 Key: 4 q8 represents 48 pizzas [2] (b) Find the median. … [1]

3 marks

Mark scheme: 9(a) Correct table 2 B1 for two rows correct or for fully correct unordered stem-and-leaf diagram. 2 2 8 3 6 9 4 1 4 8 9 5 2 4 7 7 9(b) 46 1

This question in 0580/12 May/June 2024

2 Anton records the colour of each car in a car park. His results are shown in the table. Colour Black Grey White Blue Frequency 12 9 11 4 On the grid, draw a bar chart to show this information. Complete the scale on the frequency axis. Frequency Black Grey White Blue Colour [3]

3 marks

Mark scheme: 2 Correct bar chart 3 B1 for a correct, linear vertical scale, with at least 2 numbers alongside the lines B1 for all bars correct heights, 12, 9, 11 and 4 B1 for equal width bars and consistent gaps or no gaps between the bars

This question in 0580/12 Oct/Nov 2024

11 Jo asks 90 people whether they prefer pop, rock, classical, jazz or folk music. The pie chart shows some of the results. Pop 120° 100° Rock (a) Work out the number of people who prefer pop. … [2] (b) The sector angle for classical is 80°. Draw this sector on the pie chart. [1] (c) 9 people prefer jazz and the rest prefer folk. (i) Work out the size of the sector angle for jazz. … [2] (ii) Complete the pie chart. [1]

6 marks

Mark scheme: 11(a) 30 nfww 2 120 M1 for 36090 oe 11(b) Sector 80 drawn on pie chart 1 11(c)(i) 36 2 9 M1 for  360 oe 90 11(c)(ii) Completed pie chart 1 FT their (c)(i) dependent on their (c)(i)  60

This question in 0580/13 May/June 2025

10 The bar chart shows the number of books sold in a shop in each of five months. 12 11 10 9 8 Number 7 of books 6 sold 5 4 3 2 1 0 Mar Apr May Jun Jul Aug Months (a) 4 books were sold in August. Complete the bar chart. [1] (b) Calculate the mean number of books sold in the six months. … [2]

3 marks

Mark scheme: 10(a) Correct bar for August 1 10(b) 7 nfww 2 M1 for (3 + 9 + 7 + 11 + 8 + 4) ÷ 6 or better

This question in 0580/11 Oct/Nov 2025

8 These are the masses, in kg, of each of 11 bags. 23 16 8 10 27 19 4 17 13 4 14 (a) Complete the stem-and-leaf diagram to show this information. 0 1 2 Key: 2 | 7 represents 27 kg [2] (b) Find the median. … kg [1]

3 marks

Mark scheme: 8(a) 2 B1 for a correct diagram with one error 0 4 4 8 or omission or for a fully correct 1 0 3 4 6 7 9 unordered stem-and-leaf diagram 2 3 7 8(b) 14 1

This question in 0580/13 Oct/Nov 2025