Ratio and proportion — Paper 1 · IGCSE Mathematics 0580

5 Antonia is making a cake. She uses currants, raisins and sultanas in the ratio currants : raisins : sultanas = 4 : 3 : 5. The total mass of the three ingredients is 3.6 kilograms. Calculate the mass of sultanas. Answer kg [2]

2 marks

Mark scheme: 5 1.5 (0...) 2 5 M1 for x 3.6 ( 4 + 3 + 5 ) SC1 for 1.2 or 0.9 (ie. Wrong ingredient)

This question in 0580/11 Oct/Nov 2004

4 Write, in its simplest form, the ratio 3.5 kilograms : 800 grams. Answer : [2]

2 marks

Mark scheme: 4 35 : 8 2 M1 for 3500 or 0.8 seen. SC1 Reversed ignore consistent units SC1 for 1: 358 or 4 38:1 ( 358 :1) or 35k : 8k (decimal form for SC1 correct to 3sf)

This question in 0580/11 May/June 2005

20 For Country Area (km2) Examiner's Use Brazil 8.51 x 106 Panama 7.71 x 104 Guyana 2.15 x 105 Colombia 1.14 x 106 The table above gives the areas of four South American countries, correct to 3 significant figures. (a) List the countries in order of area, smallest to largest. Answer (a) < Guyana < < [1] (b) Use a whole number to complete the statement in the answer space. Answer (b) The area of Colombia is approximately times the area of Guyana. [2]

3 marks

Mark scheme: 20 (a) Panama, (Guyana), 1 allow figures if correct Colombia, Brazil (b) 5 2 M1 for (1.14 × 10 6) ÷ (2.15 × 10 5) implied by figs 53(0……)

This question in 0580/11 May/June 2005

6 A bottle of lemonade contains 1 1 litres. 2 1 A glass holds litre. 8 How many glasses can be filled from one bottle of lemonade? Answer [2]

2 marks

Mark scheme: 6 12 2 SC1 correct method seen 1 1 1 ÷ or better. 2 8

This question in 0580/11 Oct/Nov 2005

17 Three friends, Cleopatra, Dalila and Ebony go shopping. The money they each have is in the ratio Cleopatra : Dalila : Ebony = 5 : 7 : 8. Cleopatra has $15. (a) How many dollars do they have in total? Answer(a) [2] (b) Dalila spends $12 on a hat. How many dollars does she have left? Answer(b) [1]

3 marks

Mark scheme: 17 (a) A clear attempt to multiply M1 each by 3 and add, or equivalent. 60 A1 (b) 9 1f.t. Must be a clear use of Dalila’s intended total from (a) subtract 12

This question in 0580/11 Oct/Nov 2005

16 Yousef asked 24 students to choose their favourite sport. He recorded the information in the table below so that he could draw a pie chart. (a) Complete the table. Sport Volleyball Football Hockey Cricket Number of students 6 9 7 2 Angle on pie chart 90o 135o [2] (b) Complete the pie chart accurately to show this data. Volleyball Football [1] (c) Which is the modal sport? Answer(c) [1]

4 marks

Mark scheme: 16 (a) (hockey) 105, (cricket) 30 2 1 mark each correct entry. (b) Correct line on pie chart to divide 1ft ft only if the angles in (a) total hockey and cricket. (30 ± 2) degrees 135° to left of vertical oe. (c) Football 1 19 IGCSE – May/June 2006 0580 and 0581 01

This question in 0580/11 May/June 2006

17 For Examiner's Use NOT TO SCALE 90 m (a) The diagram shows the plan for a new soccer field. The length of the pitch is 90 metres. The ratio length : width is 5 : 3. Calculate the width of the pitch. Answer(a) m [2] (b) The centre circle has a circumference of 57.5 metres. Calculate the radius. Answer(b) m [2]

4 marks

Mark scheme: 17 (a) 54 2 M1 for 90 ÷ 5 x 3 (b) 9.15(….) 2 M1 for 57.5 ÷ (2π) or SC1 for 57.5 ÷ π. (implied by 18.3…)

This question in 0580/11 May/June 2006

5 $1 = 0.78 euros Use this exchange rate to change $15.50 into euros. Answer euros [1]

1 marks

Mark scheme: 5 12.09 or 12.1 1 Not 12.10

This question in 0580/11 Oct/Nov 2006

2 Chris and Roberto share $35 in the ratio 5:2. Calculate how much Roberto receives. Answer $ [2]

2 marks

Mark scheme: 2 ($) 10 2 M1 for 35 ÷ (5 + 2) or better. SC1 for ($) 25 only or 25:10 or 25 and 10 in the answer space.

This question in 0580/11 Oct/Nov 2007

4 In 2005, a toy cost 52.50 reals in Brazil. In Argentina, 1 peso = 0.875 reals. Work out the cost of the toy in pesos. Answer pesos [2]

2 marks

Mark scheme: 4 60 2 M1 for 52.50 ÷ 0.875. SC1 for answers 59.659 rot or 60.3448 rot (from rounding 0.875 to 0.88 or 0.87.)

This question in 0580/11 Oct/Nov 2007

5 ... 9 (a) Write in the missing number. = 6 18 [1] (b) Without using your calculator and writing down all your working, show that 2 5 7 1 − = . 9 6 18 Answer(b) [2]

3 marks

Mark scheme: 9 (a) 15 1 (b) 119 oe B1 Eg 5466 Allow 99 + 29 or better 18 22 − 1518 = 187 oe E1 Must be finally reduced to 187

This question in 0580/11 Oct/Nov 2007

8 Juanita changed $20 into euros when the exchange rate was €1=$1.2685. How many euros did she receive? Give your answer correct to 2 decimal places. Answer € [2]

2 marks

Mark scheme: 8 15.77 cao 2 M1 for 20 ÷ 1.2685 or W1 for answers from 15 to 17

This question in 0580/11 Oct/Nov 2008

md 15 J = 3 (a) Find the value of d when J = 35 and m = 7. Answer(a) d = [2] (b) Make d the subject of the formula. Answer(b) d = [2]

4 marks

Mark scheme: 15 7d (a) 15 2 M1 for 35 = or better. 3 3 J J d (b) (d =) 2 M1 for 3J = md or = m m 3 3

This question in 0580/11 Oct/Nov 2009

19 For Examiner's Use Silver Other Yellow Red The accurate pie chart shows information about the colours of 240 cars in a car park. (a) The sector angle for silver cars is 90°. Calculate the number of silver cars in the car park. Answer(a) [1] (b) There are 36 yellow cars in the car park. Showing all your working, calculate the sector angle for yellow cars. Answer(b) [2] (c) (i) Measure and write down the sector angle for red cars. Answer(c)(i) [1] (ii) Calculate the percentage of red cars in the car park. Answer(c)(ii) % [2]

6 marks

Mark scheme: 19 (a) 60 1 (b) 36 ÷ 240 × 360 oe M1 oe e.g. 36 × 90 ÷ 60 54 A1 W2 54 with some relevant working shown (c) (i) 116 to 118 1 (ii) 32.5 or their (c) (i) ÷ 3.6 2ft M1 for their (c) (i) ÷ 360 × 100 Or for their (c) (i) × (60 ÷ 90) ÷ 240 × 100 Allow revised angle in range 116 – 118 seen with working

This question in 0580/11 Oct/Nov 2009

4 North NOT TO SCALE North B 72° A The diagram shows the position of two airports, A and B. The bearing of B from A is 072°. Work out the bearing of A from B. Answer [2]

2 marks

Mark scheme: 4 252 2 W1 for 108 or 72 correctly shown on the diagram at B. Or M1 for 180 + 72 or 360 − (180 − 72) soi

This question in 0580/12 Oct/Nov 2009

11 15 10 Miles 5 0 5 10 15 20 25 Kilometres Distance can be measured in miles or kilometres. 24 kilometres is approximately equal to 15 miles. (a) Draw a straight line on the grid to show the conversion between kilometres and miles. [2] (b) Use your graph to estimate the number of kilometres equal to 7 miles. Answer (b) km [1]

3 marks

Mark scheme: 11 (a) Ruled line from (0, 0) to (24, 15) 2 W1 for correct freehand or short of (24, 15) but End point between (23.5, 15) and within allowed limits and to at least 7 miles. (24.5, 15). If zero SC1 Ruled line from (0, 0) to Start point within 1 mm of (0, 0) (23.5, 15) or to (24.5, 15) (b) 11 to 11.5 1ft Answer in range. If 0 or W1 gained in part (a) follow through line with positive gradient only ± 1 mm IGCSE – October/November 2009 0580 12

This question in 0580/12 Oct/Nov 2009

11 Examiner's Use NOT TO SCALE 160° 160° The diagram shows part of a regular polygon. Each interior angle of the polygon is 160°. Calculate the number of sides of the polygon. Answer [3]

3 marks

Mark scheme: 11 18 3 M1 for exterior angle 180 − 160 implied by 20 (could be on diagram) M1 dep for 360 ÷ their 20 1

This question in 0580/11 May/June 2010

19 Erica is tiling the floor of a rectangular room of length 3 metres and width 2.5 metres. She uses square tiles of side 25 centimetres. (a) Calculate (i) how many tiles will fit along the length of the room, Answer(a)(i) [1] (ii) how many tiles she will need altogether. Answer(a)(ii) [2] (b) Work out the area of one tile (i) in square centimetres, Answer(b)(i) cm2 [1] (ii) in square metres. Answer(b)(ii) m2 [1]

5 marks

Mark scheme: 19 (a) (i) 12 1 (ii) 120 ft 2 M1 for attempt to multiply their (a)(i) by 10 soi. (b) (i) 625 1 (ii) 0.0625 1ft or their (b)(i) ÷ 10 000

This question in 0580/11 May/June 2010

6 Alphonse changed 400 Brazilian reals into South African Rand. Examiner's The exchange rate was 1 Brazilian real = 4.76 South African Rand (R). Use How much did he receive? Answer R [2]

2 marks

Mark scheme: 6 1904 2 M1 for 400 × 4.76

This question in 0580/12 May/June 2010

20 A running track has a boundary that is always 40 metres from a straight line, AB. Examiner's AB = 70 m. Use The scale drawing below shows the line AB. 1 centimetre represents 10 metres. A 70 m B (a) Complete the scale drawing accurately to show the boundary of the running track. [2] (b) Calculate, in metres, the total length of the actual boundary. Answer(b) m [3]

5 marks

Mark scheme: 20 (a) Two parallel straight lines 2 W1 for 2 correct lines or 2 semicircles. 7 cm long and 4 cm from AB and two semicircular ends 4 cm from A and from B. (b) 391 or 3 M1 for 2 × 70 soi 391.3 to 391.4 cao and M1 ind for 2 × π × 40 SC2 for answer of 39.1 or 39.13 to 39.14

This question in 0580/12 May/June 2010

4 On a map, a straight section of a canal is 3.5 cm long. The scale of the map is 1 cm to 5 km. Calculate the actual length of this straight section. Answer km [1]

1 marks

Mark scheme: 4 17.5 1 450 × 8 × 1 5

This question in 0580/11 Oct/Nov 2010

8 The metal used to make a coin is a mixture of steel and copper. The ratio mass of steel : mass of copper is 108 : 7. The coin has a total mass of 230 milligrams. Calculate the mass of copper in this coin. Answer milligrams [2]

2 marks

Mark scheme: 230 8 14 2 M1 for × 7 or better (108 + 7 ) or SC1 for 216 as answer (steel) h 6 3

This question in 0580/11 Oct/Nov 2010

15 A tourist changes $900 to euros (€) when the exchange rate is €1 = $1.356. Calculate the amount he receives. Give your answer correct to 2 decimal places. Answer € [3]

3 marks

Mark scheme: 15 663.72 3 M2 for 663.716…. or M1 for 900 ÷ 1.356 and B1 for their longer wrong answer corrected to 2dp

This question in 0580/11 Oct/Nov 2010

2 Caroline changed £200 into New Zealand dollars (NZ$). The exchange rate was £1 = NZ$2.56 . How many New Zealand dollars did she receive? Answer NZ$ [1]

1 marks

Mark scheme: 2 512(.00) 1

This question in 0580/12 Oct/Nov 2010

9 North Q NOT TO SCALE North 840 m 65° P The diagram shows a straight road PQ. PQ = 840m and the bearing of Q from P is 065°. (a) Work out the bearing of P from Q. Answer(a) [1] 4 (b) Calvin walks of the distance from P to Q. 7 How far is he from Q? Answer(b) m [2]

3 marks

Mark scheme: 9 (a) 245 1 3 (b) 360 2 M1 for × 840 or 7 SC1 for answer 480 IGCSE – October/November 2010 0580 12 15

This question in 0580/12 Oct/Nov 2010

8 Chris and Max share $45 in the ratio Chris:Max = 7 : 2 . Calculate how much Chris receives. Answer $ [2]

2 marks

Mark scheme: 8 35 2 M1 for 45 ÷ (7 + 2) SC1 for answer = 10

This question in 0580/13 Oct/Nov 2010

5 Mark and Naomi share $600 in the ratio Mark : Naomi = 5 : 1. For Examiner's Calculate how much money Naomi receives. Use Answer $ [2]

2 marks

Mark scheme: 5 100 2 M1 for 5+ 1 (×1) If zero, SC1 for answer of 500 2

This question in 0580/11 May/June 2011

8 A meal on a boat costs 6 euros (€) or 11.5 Brunei dollars ($). For Examiner's In which currency does the meal cost less, on a day when the exchange rate is €1 = $1.9037? Use Write down all the steps in your working. Answer [2]

2 marks

Mark scheme: 8 euros (with correct working) 2 M1 one of 6 × 1.9037 or 11.5 ÷ 1.9037 or (6)€ or 11.5 ÷ 6 seen 9 4 k 4x–24 or 24 2 B1 4xn B1 24 or kx–24 for any numerical k, n x x 2 2

This question in 0580/12 May/June 2011

18 27 For 13 (a) Find the value of x when = . Examiner's 24 x Use Answer(a) x = [1] 2 1 4 (b) Show that ÷ 1 = . 3 6 7 Write down all the steps in your working. Answer(b) [2]

3 marks

Mark scheme: 13 (a) 36 1 (b) Correct working 2 M1 for 7 oe improper fraction 6 12 4 M1 for = oe or visible cancelling 21 7

This question in 0580/13 May/June 2011

14 (a) A drinking glass contains 55 cl of water. Write 55 cl in litres. Answer(a) litres [1] (b) The mass of grain in a sack is 35 kg. The grain is divided equally into 140 bags. Calculate the mass of grain in each bag. Give your answer in grams. Answer(b) g [2]

3 marks

Mark scheme: 14 (a) (0).55 1 (b) 250 2 M1 for 35 000 ÷ 140 or SC1 for figs 25

This question in 0580/13 May/June 2011

3 The ratio of Anne’s height : Ben’s height is 7 : 9. Anne’s height is 1.4 m. Find Ben’s height. Answer m [2]

2 marks

Mark scheme: 3 1.8 2 M1 for 1.4 ÷ 7 or SC1 for answer 180

This question in 0580/11 Oct/Nov 2011

4 The distance between the centres of two villages is 8 km. For A map on which they are shown has a scale of 1 : 50 000. Examiner's Use Calculate the distance between the centres of the two villages on the map. Give your answer in centimetres. Answer cm [2]

2 marks

Mark scheme: 4 16 2 B1 for 1cm to 0.5km oe or 800 000 (cm) or figs 16

This question in 0580/11 Oct/Nov 2011

2 Joseph changed 120 New Zealand dollars (NZ$) into Australian dollars (A$) when the exchange rate was NZ$1 = A$0.796 . Calculate the exact amount he received. Answer A$ [1]

1 marks

Mark scheme: 2 95.52 1 3

This question in 0580/12 Oct/Nov 2011

5 Mortar is a mixture of cement, sand and lime in the ratio For Examiner's cement : sand : lime = 1 : 5 : 2. Use Calculate how much sand there is in a 12 kg bag of this mortar. Answer kg [2]

2 marks

Mark scheme: 5 7.5 2 M1 for 12 × 5 ÷ (1 + 5 + 2) oe

This question in 0580/12 Oct/Nov 2011

18 For O Examiner's Use NOT TO SCALE 75° A B (a) Triangle AOB is isosceles. OA = OB. Calculate angle AOB. Answer(a) Angle AOB = [1] (b) O NOT TO SCALE 75° A B AB is one side of a regular polygon with n sides. (i) Calculate n. Answer(b)(i) n = [2] (ii) Find the size of an interior angle of this polygon. Answer(b)(ii) [1]

4 marks

Mark scheme: 18 (a) 30 1 (b) (i) 12 2ft M1 for 360 ÷ their (a) (Any answer for (a) for method) Only ft for A1 if 360 ÷ their (a) is an integer Other methods allowed if complete (ii) 150 cao 1

This question in 0580/12 Oct/Nov 2011

6 Thomas fills glasses from a jug containing 2.4 litres of water. Each glass holds 30 centilitres. How many glasses can Thomas fill? Answer [2]

2 marks

Mark scheme: 6 8 2 M1 for 240 or 0.3 seen or figs 24 ÷ figs 3

This question in 0580/13 Oct/Nov 2011

7 Martha divides $240 between spending and saving in the ratio spending : saving = 7 : 8 . Calculate the amount Martha has for spending. Answer $ [2]

2 marks

Mark scheme: 7 112 2 M1 for 240 ÷ (7 + 8) × 7

This question in 0580/13 Oct/Nov 2011

15 For her holiday, Dina changed 500 Swiss francs (CHF) into pounds (£). The rate was £1 = CHF 1.6734 . Calculate how much Dina received in pounds. Give your answer correct to 2 decimal places. Answer £ [2]

2 marks

Mark scheme: 15 298.79 cao 2 M1 for 500 ÷ 1.6734 9 9 k

This question in 0580/13 Oct/Nov 2011

4 Gregor changes $700 into euros (€) when the rate is €1 = $1.4131 . For Examiner's Calculate the amount he receives. Use Answer € [2]

2 marks

Mark scheme: 4 495.36 2 M1 for 700 ÷ 1.4131

This question in 0580/11 May/June 2012

6 One bracelet costs 85 cents and one necklace costs $7.50 . Write down an expression, in dollars, for the total cost of b bracelets and n necklaces. Answer $ [2]

2 marks

Mark scheme: 6 0.85b + 7.5n 2 B1 for 0.85b OR 7.5n seen 85 n + 750 n OR final answer 100

This question in 0580/11 May/June 2012

19 For North Examiner's Use North B 26 km NOT TO SCALE 74 km A 28° C (a) Work out the bearing of A from C. Answer(a) [2] (b) Calculate the distance AB. Answer(b) km [2]

4 marks

Mark scheme: 19 (a) 332 2 M1 for BCA = 28. Or 360 – 28 or 152 marked correctly at C or 180 + 152 (b) 78.4 2 M1 for AB2 = 742 + 262 or better

This question in 0580/13 May/June 2012

8 The train fare from Bangkok to Chiang Mai is 768 baht. The exchange rate is £1 = 48 baht. Calculate the train fare in pounds (£). Answer £ [2]

2 marks

Mark scheme: 8 16 2 M1 for 768 ÷ 48 23 2139 [0] 852 f

This question in 0580/11 Oct/Nov 2012

4 Pedro and Eva do their homework. Pedro takes 84 minutes to do his homework. The ratio Pedro’s time : Eva’s time = 7 : 6. Work out the number of minutes Eva takes to do her homework. Answer … min [2] _____________________________________________________________________________________

2 marks

Mark scheme: 4 72 2 M1 for 84 ÷ 7

This question in 0580/11 May/June 2013

11 x and y are integers. (a) Find the value of x when –7 < x < –5 . Answer(a) x = … [1] 3 y 7 (b) Find the value of y when < < . 4 16 8 Answer(b) y = … [2] _____________________________________________________________________________________

3 marks

Mark scheme: 11 (a) − 6 1 12 14 13 (b) 13 2 B1 for or or seen 16 16 16

This question in 0580/11 May/June 2013

16 Martina changed 200 Swiss francs (CHF) into euros (€). For Examiner's The exchange rate was €1 = 1.14 CHF. Use Calculate how much Martina received. Give your answer correct to the nearest euro. Answer € … [3] _____________________________________________________________________________________

3 marks

Mark scheme: 16 175 cao final answer 3 B2 for 175.4… or M1 for 200 ÷ 1.14

This question in 0580/11 May/June 2013

7 Sheila can pay her hotel bill in Euros (€) or Pounds (£). For Examiner′s The bill was €425 or £365 when the exchange rate was £1 = €1.14 . Use In which currency was the bill cheaper? Show all your working. Answer … [2] _____________________________________________________________________________________

2 marks

Mark scheme: 7 £ or pound[s] M1 for 425 ÷ 1.14 or 365 × 1.14 working must be shown 2

This question in 0580/13 May/June 2013

4 There were 41 524 people at a football match. (a) Write 41 524 correct to the nearest thousand. Answer(a) … [1] (b) One quarter of the 41 524 people left before the end of the game. Find the number of people who left before the end of the game. Answer(b) … [1] _____________________________________________________________________________________

2 marks

Mark scheme: 4 (a) 42 000 1 (b) 10 381 cao 1

This question in 0580/11 Oct/Nov 2013

11 The table shows how the dollar to euro conversion rate changed during one day. For Examiner′s Use Time 10 00 11 00 12 00 13 00 14 00 15 00 16 00 $1 €1.3311 €1.3362 €1.3207 €1.3199 €1.3200 €1.3352 €1.3401 Khalil changed $500 into euros (€). How many more euros did Khalil receive if he changed his money at the highest rate compared to the lowest rate? Answer € … [3] _____________________________________________________________________________________

3 marks

Mark scheme: 11 10.1[0] Final answer 3 M1 for 1.3199 and 1.3401 seen and M1 for 500 × 1.3199 or 500 × 1.3401 or for 500 × (their highest – their lowest) oe

This question in 0580/12 Oct/Nov 2013

19 Mario says that 5 gallons = 22.5 litres. For Examiner′s Use (a) On the grid, draw a straight line to show the conversion rate that Mario uses. 25 20 15 Litres 10 5 0 1 2 3 4 5 Gallons [2] (b) Use your graph to fi nd (i) the number of litres equivalent to 4 gallons, Answer(b)(i) … litres [1] (ii) the number of gallons equivalent to 15 litres. Answer(b)(ii) … gallons [1] _____________________________________________________________________________________

4 marks

Mark scheme: 19 (a) Ruled line from (0, 0) to (5, 22.5) 2 B1 for (5, 22.5) or (0, 0) at the ends of the ruled line. (b) (i) 17.5 to 18.5 1FT FT their straight line (ii) 3.3 to 3.4 1FT FT their straight line

This question in 0580/12 Oct/Nov 2013

15 Carlo changed 800 euros (€) into dollars for his holiday when the exchange rate was €1 = $1.50 . His holiday was then cancelled. He changed all his dollars back into euros and he received €750. Find the new exchange rate. Answer €1 = $ … [3] __________________________________________________________________________________________

3 marks

Mark scheme: 15 1.6[0] 3 M1 for 800 × 1.5 and M1 for their 1200 ÷ 750 10

This question in 0580/11 May/June 2014

1 14 V = Ah 3 (a) Find V when A = 15 and h = 7 . Answer(a) V = … [1] (b) Make h the subject of the formula. Answer(b) h = … [2] __________________________________________________________________________________________

3 marks

Mark scheme: 14 (a) 35 1 1 3V (b) or 3VA–1 2 M1 for multiplying by 3 or for dividing by A 3 or M1 for dividing by A 63− 61 61 M2 for × 100 oe or 100 ×100 oe

This question in 0580/12 May/June 2014

10 (a) 1 4 8 12 27 40 Write down the number from this list which is both a cube number and has a factor of 4. Answer(a) … [1] (b) 1258 is a multiple of 34. Write down a different multiple of 34 between 1200 and 1300. Answer(b) … [1] __________________________________________________________________________________________

2 marks

Mark scheme: 10 (a) 8 1 (b) 1 1224 or 1292

This question in 0580/13 May/June 2014

19 Chris changes $1350 into euros (€) when €1 = $1.313 . Calculate how much he receives. Answer € … [2] __________________________________________________________________________________________

2 marks

Mark scheme: 19 1030 2 M1 for 1350 ÷ 1.313 k  3 

This question in 0580/13 May/June 2014

15 NOT TO SCALE C 140° A B The diagram shows two sides, AB and BC, of a regular polygon. Angle ABC = 140°. Find the number of sides of this regular polygon. Answer … [3] __________________________________________________________________________________________

3 marks

Mark scheme: 15 9 [sides] 3 M2 for 360 ÷ (180 − 140) or M1 for 180 − 140

This question in 0580/11 Oct/Nov 2014

18 On a ship, the price of a gift is 24 euros (€) or $30. What is the difference in the price on a day when the exchange rate is €1 = $1.2378? Give your answer in dollars, correct to the nearest cent. Answer $ … [3] __________________________________________________________________________________________

3 marks

Mark scheme: 18 0.29 cao 3 M2 for 30 − 24 × .12378 or 24 × .12378 − 30 or M1 for 24× .12378

This question in 0580/11 Oct/Nov 2014

13 For her holiday, Alyssa changed 2800 Malaysian Ringgits (MYR) to US dollars ($) when the exchange rate was 1 MYR = $0.325 . At the end of her holiday she had $210 left. (a) How many dollars did she spend? Answer(a) $ … [2] (b) She changed the $210 for 750 MYR. What was the exchange rate in dollars for 1 MYR? Answer(b) 1 MYR = $ … [1] __________________________________________________________________________________________

3 marks

Mark scheme: 13 (a) 700 2 M1 for 2800 × 0.325 (b) 0.28 1 7

This question in 0580/12 Oct/Nov 2014

20 The diagram shows the plan, ABCD, of a park. The scale is 1 centimetre represents 20 metres. D C A B Scale: 1 cm to 20 m (a) Find the actual distance BC. Answer(a) … m [2] (b) A fountain, F, is to be placed ● 160 m from C and ● equidistant from AB and AD. On the diagram, using a ruler and compasses only, construct and mark the position of F. Leave in all your construction lines. [5] __________________________________________________________________________________________

7 marks

Mark scheme: 20 (a) 102 to 106 2 B1 for 5.1 to 5.3 seen (b) Correct position of F with 5 B2 for Correct ruled angle bisector of A with correct correct arcs for angle bisector arcs or B1 for correct bisector with no/wrong arcs and B2 for Arc centre C, radius 8 cm or B1 for arc centre C with incorrect radius or correct conversion to 8 cm and B1 for marking position of F on their bisector and 8 cm from C or their arc centre C

This question in 0580/12 Oct/Nov 2014

14 Ahmed, Batuk and Chand share $1000 in the ratio 8 : 7 : 5. Calculate the amount each receives. Answer Ahmed $ … Batuk $ … Chand $ … [3] __________________________________________________________________________________________

3 marks

Mark scheme: 1000 14 400 350 250 3 M1 for implied by 50 8 + 7 + 5 A1 for one clearly assigned correct answer or SC2 for 3 correct answers in wrong order

This question in 0580/12 Feb/March 2015

15 A cuboid has volume 288 cm3. (a) The cuboid has length 12 cm and width 5 cm. Calculate the height of the cuboid. Answer(a) … cm [2] (b) 1 cm3 of the cuboid has a mass of 4 g. Work out the mass of the cuboid. Answer(b) … g [1] __________________________________________________________________________________________

3 marks

Mark scheme: 15 (a) 4.8 2 M1 for 288 ÷ (12 × 5) oe (b) 1152 1 9 63

This question in 0580/11 May/June 2015

4 Ahmed and Babar share 240 g of sweets in the ratio 7 : 3. Calculate the amount Ahmed receives. Answer … g [2] __________________________________________________________________________________________

2 marks

Mark scheme: 4 168 2 M1 for 240 ÷ (7 + 3) or better

This question in 0580/13 May/June 2015

13 James buys a drink for 2 euros (€). Work out the cost of the drink in pounds (£) when £1 = €1.252 . Give your answer correct to 2 decimal places. Answer £ … [3] __________________________________________________________________________________________

3 marks

Mark scheme: 13 1.60 cao 3 B2 for 1.597… or 1.6 or M1 for 2 ÷ 1.252 15 135

This question in 0580/13 May/June 2015

5 4 (a) Work out of 168. 12 Answer(a) … [1] 3 (b) Write as a decimal. 8 Answer(b) … [1] __________________________________________________________________________________________

2 marks

Mark scheme: 4 (a) 70 1 (b) [0].375 cao final answer 1

This question in 0580/11 Oct/Nov 2015

8 Pip and Ali share $785 in the ratio Pip : Ali = 4 : 1. Work out Pip’s share. Answer $ … [2] __________________________________________________________________________________________

2 marks

Mark scheme: 785 8 628 2 M1 for [× 4 ] 1 + 4

This question in 0580/11 Oct/Nov 2015

7 Carlos changed $950 into euros (€) when the exchange rate was €1 = $1.368 . Calculate how many euros Carlos received. Answer € … [2]

2 marks

Mark scheme: 7 694 or 694.4[4...] 2 M1 for 950 ÷ 1.368 7 2 15 25

This question in 0580/12 Oct/Nov 2015

5 14 (a) Write down the number in the list below that has the same value as 8 . 3 25 55 5 0.58 64 80 62.5% Answer(a) … [1] 5 (b) Find 8 of $208.56 . Answer(b) $ … .[1]

2 marks

Mark scheme: 14 (a) 62.5[%] 1 (b) 130.35 cao 1

This question in 0580/12 Oct/Nov 2015

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

8 In each part, fill in the missing number to make a correct statement. (a) ^- 6 + 11h # … = - 20 [1] 7 … (b) = [1] 8 176

2 marks

Mark scheme: 8 (a) –4 1 (b) 154 1 2

This question in 0580/12 Feb/March 2016

10 Omar changes 2000 Saudi Arabian riyals (SAR) into euros (€) when the exchange rate is €1 = 5.087 SAR. Work out how much Omar receives, giving your answer correct to the nearest euro. € … [2]

2 marks

Mark scheme: 10 393 2 B1 for 393.1 to 393.2 or M1 for 2000 ÷ 5.087

This question in 0580/11 May/June 2016

14 This is a graph for converting between dollars ($) and pounds (£). 60 50 40 Pounds (£) 30 20 10 0 20 40 60 80 100 Dollars ($) (a) Use the graph to convert $80 to pounds. £ … [1] (b) Daniyar changes £100 to dollars. Work out how many dollars he receives. $ … [2]

3 marks

Mark scheme: 14 (a) 44 1 (b) 180 to 184 2 M1 for £50 = $90 to $92 oe soi  12 

This question in 0580/12 May/June 2016

13 Jamal changes 800 Chinese Yuan into dollars. The exchange rate is $1 = 6.24 Chinese Yuan. Calculate the number of dollars he receives. Give your answer correct to the nearest dollar. $ … [3]

3 marks

Mark scheme: 13 128 3 M1 for 800 ÷ 6.24 A1 for 128.2 …

This question in 0580/13 May/June 2016

3 Write $0.70 as a fraction of $5.60, giving your answer in its lowest terms. … [1]

1 marks

Mark scheme: 3 1 1 cao 8

This question in 0580/11 Oct/Nov 2016

210 of an amount is 48. 9 Calculate the original amount. … [2]

2 marks

Mark scheme: 10 216 2 M1 for 48 ÷ 2 [ × 9 ]

This question in 0580/11 Oct/Nov 2016

15 The exchange rate between the dollar and the Thai Baht is $1 = 31.48 Baht. (a) Andy buys a watch in New York for $84. How much is this in Baht? … Baht [1] (b) Ning buys a watch in Bangkok for 4200 Baht. How much is this in dollars? $ … [2]

3 marks

Mark scheme: 15 (a) 2644.32 1 (b) 133.42 2 M1 for 4200 ÷ 31.48 5

This question in 0580/13 Oct/Nov 2016

12 1 euro = $1.09 $1 = 62 rupees Change 400 euros into rupees using these exchange rates. … rupees [2]

2 marks

Mark scheme: 12 27032 cao 2 M1 for 400 × 1.09 [× 62] or 62 × 1.09[× 400] 6 2

This question in 0580/12 Feb/March 2017

3 The thickness of one sheet of paper is 8 # 10-3 cm. Work out the thickness of 250 sheets of paper. … cm [1]

1 marks

Mark scheme: 3 2 1

This question in 0580/11 May/June 2017

14 Manuel changes 5000 Mexican Pesos to dollars. He receives $336. Complete this statement about the exchange rate. Give your answer correct to 2 decimal places. $1 = … Mexican Pesos [2]

2 marks

Mark scheme: 14 14.88 2 M1 for 5000 ÷ 336 or B1 for 14.881 or 14.880[9...] or 14.9

This question in 0580/11 May/June 2017

19 The exchange rate between dollars and euros(€) is €1 = $1.158 . (a) Felicity changes €4900 into dollars. Work out how many dollars she receives. $ … [1] (b) Ricky changes $2895 into euros. Work out how many euros he receives. € … [2]

3 marks

Mark scheme: 19(a) 5674.2[0] 1 19(b) 2500 2 1 M1 for 2895 ÷ 1.158 or 2895 × 1.185

This question in 0580/12 May/June 2017

1 Change $400 into euros (€) using the exchange rate $1 = €0.935 . € … [1]

1 marks

Mark scheme: Question Answer Marks Part marks 1 374 1

This question in 0580/13 May/June 2017

2 A watch costs $80. The exchange rate is $1 = 124.3 Japanese Yen. Work out the cost of the watch in Yen. … Yen [1]

1 marks

Mark scheme: 2 9944 1

This question in 0580/11 Oct/Nov 2017

11 In a survey of 40 workers, 6 cycle to the office. The office has a total of 800 workers. Estimate how many of the 800 workers cycle to the office. … [2]

2 marks

Mark scheme: 11 120 2 6 M1 for [ × 800] or 800[ × 6] oe 40 40

This question in 0580/13 Oct/Nov 2017

14 Change 600 euros into dinars when the exchange rate is 1 euro = 0.429 dinars. Give your answer correct to the nearest dinar. … dinars [2]

2 marks

Mark scheme: 14 257 2 B1 for 257.4

This question in 0580/12 May/June 2018

11 Jez and Soraya share $2500 in the ratio Jez : Soraya = 7 : 3. Work out how much Soraya receives. $ … [2]

2 marks

Mark scheme: 11 750 2 M1 for 2500 ÷ (7 + 3) [× 3]

This question in 0580/13 May/June 2018

2 The exchange rate between dollars and euros (€) is $1 = €0.88 . Change $350 into euros. € … [1]

1 marks

Mark scheme: 2 308 1

This question in 0580/11 Oct/Nov 2018

13 The diagram shows a conversion graph between pounds (£) and dollars ($). 30 20 Pounds (£) 10 0 0 10 20 30 40 Dollars ($) Ana finds the same watch on sale in a shop and on the internet. The shop price is $120. The internet price is £90. Use the conversion graph to find which price is lower. Show your working clearly. The … price is lower. [3]

3 marks

Mark scheme: 13 Any example of equivalence from the M1 Examples conversion graph Dollars ($) Pounds (£) 5 3.5 10 7 20 14 30 21 40 28 7 5 14 to 14.5 10 21 15 28 to 29 20 Shop and [£]81 to [£]87 A2 A1 for [£]81 to [£]87 or [$]126 to or [$]126 to [$]138 nfww [$]138 If M0 allow SC1 for [$]120 = [£]81 to [£]87 or [£]90 = [$]126 to [$]138 with ‘shop’ as the answer

This question in 0580/12 Oct/Nov 2018

72 Work out of 198 kg. 11 … kg [1]

1 marks

Mark scheme: 2 126 1

This question in 0580/13 Oct/Nov 2018

8 Share $72 in the ratio 5 : 4. $ … , $ … [2]

2 marks

Mark scheme: 8 40 : 32 2 M1 for 72 ÷ (5 + 4) If 0 scored SC1 for both correct but reversed

This question in 0580/13 Oct/Nov 2018

20 Work out the size of an interior angle of a regular 20-sided polygon. … [3]

3 marks

Mark scheme: 20 162 3 M2 for 180 – (360 ÷ 20) oe or M1 for 360 ÷ 20 soi by 18

This question in 0580/13 Oct/Nov 2018

14 A tourist changes $500 to euros (€) when the exchange rate is €1 = $1.0697 . Calculate how many euros he receives. € … [2]

2 marks

Mark scheme: 14 467.42 or 467 2 M1 for 500 ÷ 1.0697

This question in 0580/12 Feb/March 2019

9 Asif and Ben share $2100 in the ratio Asif : Ben = 3 : 7. Work out how much Asif receives. $ … [2]

2 marks

Mark scheme: 9 630 2 M1 for 2100 ÷ (3 + 7) [× 3] soi 210

This question in 0580/11 May/June 2019

15 A box contains 22 coloured pencils. 6 pencils are pink, 9 pencils are blue and 7 pencils are yellow. (a) Write down the ratio pink pencils : not pink pencils. Give your answer in its simplest form. … : … [2] (b) A pencil is taken at random from the box. Write down the probability that this pencil is green. … [1]

3 marks

Mark scheme: 15(a) 3 : 8 cao 2 B1 for 6 : 16 or 8 2 3 1: or 1:2 or 1:2.67 or :1 or 0.375:1 3 3 8 If 0 scored, SC1 for 8 : 3 15(b) 0 1

This question in 0580/12 May/June 2019

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

10 Share 518 in the ratio 2 : 5. … , … [2]

2 marks

Mark scheme: 10 148 370 2 M1 for 518 ÷ (2 + 5)

This question in 0580/11 Oct/Nov 2019

14 Levante changes 24 650 Hungarian forints to dollars. The exchange rate is $1 = 290 forints. Calculate how many dollars Levante receives. $ … [2]

2 marks

Mark scheme: 14 85 2 M1 for 24650 ÷ 290

This question in 0580/11 Oct/Nov 2019

9 Rashid changes 30 000 rupees to dollars when the exchange rate is $1 = 68.14 rupees. How many dollars does he receive? $ … [2]

2 marks

Mark scheme: 9 440 or 440.2 to 440.3 2 M1 for 30 000 ÷ 68.14

This question in 0580/12 Oct/Nov 2019

18 Here is a list of ingredients to make 12 pancakes. 110 g flour 2 eggs 200 ml milk 50 g butter Complete the list of ingredients below to make 30 pancakes. … g flour … eggs … ml milk … g butter [3]

3 marks

Mark scheme: 18 275 3 B2 for 3 correct 5 or B1 for 2 correct 500 or M1 for multiplying by 2.5 oe 125

This question in 0580/13 Oct/Nov 2019

21 The diagram shows a conversion graph for dollars and Kenyan shillings. 6000 5500 5000 4500 4000 3500 Kenyan 3000 shilling 2500 2000 1500 1000 500 0 0 5 10 15 20 25 30 35 40 45 50 Dollar ($) (a) Use the graph to change 5000 shillings to dollars. $ … [1] (b) Explain how to use this graph to change $420 to shillings. … … [1] (c) The exchange rate is now $1 = 90 shillings. On the grid, draw another line to show this exchange rate. [2]

4 marks

Mark scheme: 21(a) 46 1 21(b) appropriate explanation 1 accept any correct explanation e.g. reading at 42 × 10 oe 21(c) correct ruled line 2 B1 for any correct plotted point other than (0, 0)

This question in 0580/13 Oct/Nov 2019

12 A bag contains red marbles, green marbles and blue marbles only. The ratio of the number of marbles of each colour is red : green : blue = 12 : 5 : 2. There are 112 more red marbles than green marbles. Work out the number of blue marbles. … [2]

2 marks

Mark scheme: 12 32 2 112 M1 for 12 − 5

This question in 0580/12 Feb/March 2020

6 (a) Diego flies from Madrid to Buenos Aires. His flight leaves at 20 55 and arrives at 03 50 local time. The local time in Buenos Aires is 5 hours behind the local time in Madrid. Work out, in hours and minutes, the time the flight takes. … h … min [2] (b) Diego changes 200 euros into Argentine Peso. The exchange rate is 1 euro = 24.8 pesos. Work out how many pesos he receives. … pesos [1] (c) The distance between Madrid and Buenos Aires is 10 050 km. Diego’s return flight takes 12 hours 30 minutes. Calculate the average speed, in km/h, for the return flight. … km/h [1]

4 marks

Mark scheme: 6(a) 11[h] 55[min] 2 B1 for 08 50 or 15 55 or 6[h] 55[min] seen 6(b) 4960 1 6(c) 804 1

This question in 0580/11 May/June 2020

10 Work out the size of one interior angle of a regular 9-sided polygon. … [2]

2 marks

Mark scheme: 10 140 2 M1 for 360 ÷ 9

This question in 0580/11 May/June 2020

10 North NOT TO SCALE North A B The bearing of B from A is 105°. Find the bearing of A from B. … [2]

2 marks

Mark scheme: 10 285 2 M1 for 180 + 105 or 75 or 105 seen in correct position at B

This question in 0580/12 May/June 2020

12 A bag contains yellow balls, pink balls and green balls only. The ratio yellow balls : pink balls : green balls = 7 : 3 : 5. There are 42 yellow balls in the bag. Work out the total number of balls in the bag. … [2]

2 marks

Mark scheme: 12 90 2 42 M1 for × ( 7 + 3 + 5 )  soi by 6 7

This question in 0580/13 May/June 2020

17 A chef buys some cheese from France. 200 g of cheese costs 3.45 euros. The exchange rate is $1 = 0.84 euros. Work out the maximum mass of cheese the chef can buy with $150. Give your answer in kilograms, correct to 1 decimal place. … kg [4]

4 marks

Mark scheme: 17 7.3 cao 4 150 × 0.84 M3 for 3.45 × 5 or B3 for final answer figs 73[04...] 150 × 0.84 3.45 × 5 or M2 for or 3.45 0.84 3.45 or M1 for 150 × 0.84 or 3.45 × 5 or 0.84

This question in 0580/13 May/June 2020

9 Alan and Beth share $1190 in the ratio Alan : Beth = 5 : 2. Work out how much Alan receives. $ … [2]

2 marks

Mark scheme: 9 850[.00] 2 1190 M1 for 5 + 2

This question in 0580/11 Oct/Nov 2020

20 Alex and Chris share sweets in the ratio Alex : Chris = 7 : 3. Alex receives 20 more sweets than Chris. Work out the number of sweets Chris receives. … [2]

2 marks

Mark scheme: 20 15 2 M1 for 4 [parts] = 20 soi or x + 20 x a correct equation, e.g. = oe 7 3

This question in 0580/12 Oct/Nov 2020

9 Thor changes 40 000 Icelandic Krona into dollars when the exchange rate is 1 krona = $0.0099 . Work out how many dollars he receives. $ … [1]

1 marks

Mark scheme: 9 396 1

This question in 0580/13 Oct/Nov 2020

19 A regular polygon has an exterior angle of 20°. Work out the number of sides of this polygon. … [1]

1 marks

Mark scheme: 19 18 1

This question in 0580/13 Oct/Nov 2020

8 Sahil and Anika share $78 in the ratio 5 : 8. Calculate the amount each receives. Sahil $ … Anika $ … [2]

2 marks

Mark scheme: 8 30 2 78 M1 for × k oe where k = 1, 5 or 8 48 5 + 8

This question in 0580/12 Feb/March 2021

13 Alex changes 190 euros (€) into pounds (£) when £1 = €1.1723 . Calculate the amount Alex receives. Give your answer correct to 2 decimal places. £ … [2]

2 marks

Mark scheme: 13 162.07 cao 2 M1 for 190 ÷ 1.1723

This question in 0580/13 May/June 2021

7 Hank flies from Los Angeles to Shanghai. (a) The flight departs on Friday 22 July at 21 40. The flight takes 13 hours 35 minutes. The local time in Shanghai is 15 hours ahead of the local time in Los Angeles. Find the day, date and time in Shanghai when Hank’s flight arrives. Day … , Date … , Time … [3] (b) The cost of the flight is $920. The exchange rate is $1 = 6.87 Chinese yuan. Find the cost of the flight in yuan. … yuan [1]

4 marks

Mark scheme: 7(a) Sunday 24 [July] 0215 3 B1 for Sunday 24th [July] as final answer B2 for 02 15 oe as final answer or B1 for sight of any of these 12 40 oe, 11 15 oe, 28h 35min, 50 15, 35 15 or 02 15 oe spoilt or M1 for departure time + 13h35min + 15h evaluated as a time with one interval correctly added 7(b) 6320.4[0] 1

This question in 0580/11 Oct/Nov 2021

9 The scale drawing shows the positions of two towns, P and Q. The scale is 1 cm represents 4 km. North Q North P Scale: 1 cm to 4 km (a) Find the actual distance between town P and town Q. … km [2] (b) Measure the bearing of town Q from town P. … [1] (c) Town X is 28 km from town P on a bearing of 140°. On the scale drawing, mark the position of town X. [2]

5 marks

Mark scheme: 9(a) 32.8 2 M1 for 8 [cm] to 8.4 [cm] seen or for their measurement [in cm] multiplied by 4 9(b) 065 1 9(c) X correctly placed 2 M1 for X on bearing of 140° from P 7 cm from P on a bearing of 140° or for X 7 cm from P If 0 scored, SC1 for X on bearing of 140 from Q and 7 cm from Q

This question in 0580/11 Oct/Nov 2021

13 The price of a coat is 84.60 euros. Find the price of the coat in dollars when the exchange rate is 1 euro = $1.15 . $ … [1]

1 marks

Mark scheme: 13 97.29 1

This question in 0580/12 Oct/Nov 2021

16 Nina changes 153 euros into dollars when the exchange rate is $1 = 0.9 euros. Calculate the amount Nina receives. $ … [1]

1 marks

Mark scheme: 16 170 1

This question in 0580/13 Oct/Nov 2021

12 Indrani and Jagad share some money in the ratio Indrani : Jagad = 7 : 9. Calculate the percentage of the money that Indrani receives. … % [2]

2 marks

Mark scheme: 12 43.75 2 7 M1 for [× 100] 7 + 9 If zero scored, SC1 for answer 56.25

This question in 0580/12 Feb/March 2022

12 Kirsty changes $380.80 into pounds (£) when £1 = $1.19 . Calculate the amount Kirsty receives. £ … [2]

2 marks

Mark scheme: 12 320 2 M1 for 380.8[0] ÷ 1.19 oe

This question in 0580/11 May/June 2022

12 (a) The total cost of n bags of flour is $d. Write down an expression for the cost of one bag of flour. $ … [1] (b) A bag of rice costs $r and a bag of almonds costs $a. Pedro buys x bags of rice and y bags of almonds. Write down an expression for the change that Pedro receives from a $20 note. $ … [2]

3 marks

Mark scheme: 12(a) d 1 oe n 12(b) 20 – rx – ay oe 2 B1 for rx and ay seen and not spoilt

This question in 0580/12 May/June 2022

14 Write the ratio 5 # 10 -1 : 2 : 3 # 101 in its simplest form. … : … : … [2]

2 marks

Mark scheme: 14 1 : 4 : 60 2 B1 for 0.5[:2:]30 oe

This question in 0580/12 May/June 2022

21 Dominic asks 30 students in his class if they are right-handed or left-handed. 7 students are left-handed. Work out the expected number of left-handed students in the whole school of 960 students. … [2]

2 marks

Mark scheme: 21 224 2 7 M1 for  960  oe 30

This question in 0580/13 May/June 2022

6 Write 32 cm as a fraction of 2 m. Give your answer in its simplest form. … [2]

2 marks

Mark scheme: 6 4 2 32 cao M1 for oe 25 200

This question in 0580/11 Oct/Nov 2022

9 Divide $200 in the ratio 7 : 3. $ … , $ … [2]

2 marks

Mark scheme: 9 140, 60 2 200 M1 for  k where k = 1, 7 ( 7 + 3 ) or 3

This question in 0580/11 Oct/Nov 2022

15 A café sells 330 sandwiches. 11 This is of the sandwiches they make. 14 Work out the number of sandwiches the café makes. … [2]

2 marks

Mark scheme: 15 420 2 330 M1 for  14 oe 11

This question in 0580/11 Oct/Nov 2022

19 In a survey of 1200 people, 150 people are left-handed. Work out the expected number of left-handed people in a town with 56 000 people. … [2] Questions 20 and 21 are printed on the next page.

2 marks

Mark scheme: 19 7 000 2 150 M1 for  56 000 oe 1200

This question in 0580/12 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

4 Kai and Ava each have a piece of wood 57 cm long. (a) Kai cuts his piece into 4 equal length parts. Find the length of one part. … cm [1] (b) Ava cuts her piece into two parts and the lengths are in the ratio 5 | 1. Find the length of the longer part. … cm [2]

3 marks

Mark scheme: 4(a) 14.25 1 4(b) 47.5 2 57 M1 for [×5] 1  5

This question in 0580/12 May/June 2023

25 In this question, both lengths are in centimetres. B 10x - 12 NOT TO SCALE C 2x + 3 A D The diagram shows two lines, AB and CD. The length of AB is 10x - 12 . The length of CD is 2x + 3 . Line AB is 3 times as long as line CD. Work out the value of x. x = … [4]

4 marks

Mark scheme: 25 5.25 oe 4 M1 for 10x – 12 = 3(2x + 3) 10 x 12 B1 for 6x + 9 or – 3 3 M1 for ax + b = cx + d leading to ax – cx = d – b

This question in 0580/13 May/June 2023

24 Work out of 180. 5 … [1]

1 marks

Mark scheme: 4 72 1

This question in 0580/12 Oct/Nov 2023

8 Jonah has $750. 1 He spends of this money on travel, and some of this money on food. 4 He now has $437.50 . Work out the fraction of the $750 he spends on food. … [3]

3 marks

Mark scheme: 8 1 3 or equivalent fraction 625 6 B2 for oe 750 750 or M2 for 750   437.5 oe 4 750 or M1 for 750  oe 4 750 or  437.5 oe 4 or 437.5oe 750

This question in 0580/12 May/June 2024

24 In a class of 30 students, 13 travel to school by bus. There are 570 students in the school. Find the expected number of students in the school who travel by bus. … [2] Question 25 is printed on the next page.

2 marks

Mark scheme: 24 247 2 13 M1 for  [570] 30

This question in 0580/12 May/June 2024

24 NOT TO SCALE `x + 132j ° x° The diagram shows part of a regular polygon. The interior angle of the polygon is 132° larger than the exterior angle. Calculate the number of sides of this polygon. … [3]

3 marks

Mark scheme: 24 15 3 B2 for [x =] 24 OR M1 for x + x + 132 = 180 oe soi 360 M1 for oe provided this gives an integer their x answer

This question in 0580/11 Oct/Nov 2024

16 Rio buys some pens. 7 He sells 63 pens, which is of the pens he buys. 9 Work out how many pens he buys. … [2]

2 marks

Mark scheme: 16 81 2 M1 for 63 ÷ 7 [×9]

This question in 0580/13 Oct/Nov 2024

7 70 students study one of French, Spanish and German. The ratio number who study French : number who study Spanish = 3 : 7. 15 students study French. Find the number of students who study German. … [3]

3 marks

Mark scheme: 7 20 3  15  7  M2 for 70 −  15 +  oe  3  15 or M1 for k , k = 1, 7 or 10 3

This question in 0580/13 May/June 2025

20 Some students take a test. 75 of the students pass the test. 3 This is of the students who take the test. 5 Work out how many students take the test. … [2]

2 marks

Mark scheme: 20 125 2 M1 for 75 ÷ 3 [× 5] oe

This question in 0580/11 Oct/Nov 2025

22 Chocolate cookies Makes 12 100 g flour 55 g butter 55 g sugar 20 g cocoa 1 egg (a) Sunita makes 24 chocolate cookies. Work out how much flour she needs. … g [1] (b) Albie has 28 g of cocoa. Does he have enough cocoa to make 18 cookies? Explain how you decide. … … [2]

3 marks

Mark scheme: 22(a) 200 1 22(b) No and a 2 B1 for a correct statement without correct statement based on correct support e.g. reasoning or calculations 30g is needed for 18 cookies oe or 2g more [than 28g] for 18 cookies oe or 28g would only give 16 cookies oe or 8g would only give 4 more cookies oe or M1 for correct calculation 18 6  20 oe or  20 oe 12 12 28 8 or  12 oe or  12 oe 20 20 20 28 or and oe 12 18

This question in 0580/11 Oct/Nov 2025

15 Three sisters share $n in the ratio 10 : 3 : 2. The smallest share is $120. Find the value of n. n = … [3]

3 marks

Mark scheme: 15 900 3 120 M2 for  (10 + 3 + 2 ) oe 2 120 or M1 for [k ] (k = 1, 3 or 10) 2

This question in 0580/12 Oct/Nov 2025

16 Kai, Jo and Liz share some money in the ratio Kai : Jo : Liz = 4 : 7 : 13. Jo receives $1400. Find the total amount of money they share. $ … [3]

3 marks

Mark scheme: 16 4800 3 1400 M2 for  ( 4 + 7 + 13 ) oe 7 1400 or M1 for [× k] ( k = 1, 4 or 13) 7

This question in 0580/13 Oct/Nov 2025

24 (a) The scale on a map is 1 cm represents 12 km. Write this in the ratio 1 : n . 1 : … [1] (b) The bearing of B from A is 070°. Find the bearing of A from B. … [2]

3 marks

Mark scheme: 24(a) 1 200 000 1 24(b) 250 2 M1 for 70 + 180 or correct diagram indicating angle

This question in 0580/13 Oct/Nov 2025