Limits of accuracy — Paper 1 · IGCSE Mathematics 0580

16 NOT TO SCALE 6 cm 8 cm The measurements shown are correct to the nearest centimetre. (a) Write down the least possible measurement of (i) the base of the right-angled triangle, Answer(a)(i) base = cm [1] (ii) the height of the right-angled triangle. Answer(a)(ii) height = cm [1] (b) Use your answers to part (a) to calculate the least possible area of the triangle. Answer(b) area = cm2 [1]

3 marks

Mark scheme: 16 (a) (i) (base) = 7.5 1 Allow 2 marks for correct (ii) (height) = 5.5 1 answers reversed. Allow 1 mark for one of the answers seen in either (i) or (ii). (b) 20.6 (25) or 20.62 1 A correct calculation of the or 20.6 (3) f.t. area using his values of base and height regardless of his values.

This question in 0580/11 Oct/Nov 2004

1 The diameter of the sun is 1 392 530 kilometres. For Write this value correct to 4 significant figures. Examiner's Use Answer km [1]

1 marks

Mark scheme: Question Answers Mark Notes 1 1393000 1 Allow 1393000.0 or 1.393 × 10 6 9 3

This question in 0580/11 May/June 2005

9 At the market, Fernando weighs his fruit to the nearest 10 grams. He weighs a mango as 260 grams. Complete the statement in the answer space. Answer g weight of mango < g [2]

2 marks

Mark scheme: 9 255 ≤ weight < 265 2 1 mark for each. Allow 255.0 and 265.0 SC1 for fully correct but reversed

This question in 0580/11 May/June 2005

3 The highest mountain in Argentina is Aconcagua. Its height is 6960 metres, correct to the nearest twenty metres. Write down the smallest possible height of Aconcagua. Answer m [1]

1 marks

Mark scheme: 3 6950 1 √

This question in 0580/11 Oct/Nov 2005

15 (a) Write 0.48 correct to 1 significant figure. For Examiner's Use Answer(a) [1] (b) (i) Find an approximate answer for the sum 9.87 – 5.79 × 0.48 by rounding each number to 1 significant figure. Show your working. Answer(b)(i) [1] (ii) Use your calculator to find the exact answer for the sum in part (b) (i). Write down all the figures on your calculator. Answer(b)(ii) [1]

3 marks

Mark scheme: 15 (a) 0.5 not 0.50 1 (b) (i) 10 – 6 x c’s 0.5 = 7 1f.t. Only f.t. c’s (a) if it is 0.4 (0) or 0.50 or 0 (ii) 7.0908 1 Allow 7.6 or 8 from 0.4

This question in 0580/11 Oct/Nov 2005

6 (a) Work out For 12.48 × 0.063 Examiner's . Use 8 + 7.52 Write down all the figures on your calculator display. Answer(a) [1] (b) Write your answer to part (a) correct to 2 significant figures. Answer(b) [1]

2 marks

Mark scheme: 6 (a) 0.075976(….) 1 (b) 0.076 1 f.t. f.t. candidates (a)

This question in 0580/11 May/June 2006

7 The population of a city is 350 000 correct to the nearest ten thousand. Complete the statement about the limits of the population. Answer population < [2]

2 marks

Mark scheme: 7 345000 355000 1, 1 2

This question in 0580/11 May/June 2006

9 Work out 433 , giving (a) your full calculator display, Answer(a) [1] (b) your answer correct to the nearest thousand. Answer(b) [1]

2 marks

Mark scheme: 9 (a) 79507 1 (b) 80000 1ft ft provided (a) > 500 and not a multiple of 1000.

This question in 0580/11 Oct/Nov 2006

14 The length of a mirror is 15.6 centimetres correct to the nearest millimetre. Complete the statement below about the length of the mirror. Answer cm length < cm[2]

2 marks

Mark scheme: 14 15.55 ( ≤ length < ) 15.65 2 1 mark for each. SC1 for fully correct but reversed.

This question in 0580/11 Oct/Nov 2006

22 13.5 + 16 4.8 − (22 ÷ 13 ) (a) Rewrite this calculation with each number rounded to 1 significant figure. Answer(a) [2] (b) Use your answer to part (a) to estimate the answer to the calculation. Show your working and write your answer correct to 1 significant figure. Answer(b) [1] (c) Use your calculator to find the answer to the original calculation correct to 3 significant figures. Answer(c) [2]

5 marks

Mark scheme: 22 10 + 20 (a) 2 SC1 for 3 or 4 of the numbers given to 1 5 − ( 20 ÷ 10) significant figure. (b) 10 cao. 1 (c) 9.49 cao. 2 B1 for 9.485(5)… to 9.493 seen. (Allows for 22 ÷ 13 rounded to 3sf) If zero, SC1 for 9.5www as final answer 17 (Not 9.50 but check for possible B1)

This question in 0580/11 Oct/Nov 2006

7 The distance, d kilometres, between Windhoek and Cape Town is 1300 km, correct to the nearest 100 kilometres. Complete the statement about the value of d. Answer d < [2]

2 marks

Mark scheme: 7 1250 (≤ d <) 1350 2 1 mark for each in correct order 13

This question in 0580/11 Oct/Nov 2007

16 (a) (i) Write 17 598 correct to 2 significant figures. For Examiner's Use Answer(a)(i) [1] (ii) Write your answer to part (a)(i) in standard form. Answer(a)(ii) [1] (b) Write 5.649 × 10-2 as a decimal, correct to 3 decimal places. Answer(b) [2]

4 marks

Mark scheme: 16 (a)(i) 18 000 1 (ii) 1.8 × 10 4 1 ft 1.7598 × 10 4 gets 0 (b) 0.056 2 B1 for 0.06 or 0.0565 or 0.05649 or 0.057 seen SC1 for final answer 0.0560(0)

This question in 0580/11 Oct/Nov 2007

10 The length of the River Nile is 6700 kilometres, correct to the nearest hundred kilometres. Complete the statement about the length, L kilometres, of the River Nile. Answer Y L I [2]

2 marks

Mark scheme: 10 6650 ≤ L < 6750 1, 1 1 mark for each value correctly placed. SC1 both correct but reversed

This question in 0580/11 Oct/Nov 2008

13 Write 0.00578 (a) in standard form, Answer(a) [1] (b) correct to 2 significant figures, Answer(b) [1] (c) correct to 2 decimal places. Answer(c) [1]

3 marks

Mark scheme: 13 (a) 5.78 × 10 −3 1 (b) 0.0058 1 Accept 5.8 × 10−3 (c) 0.01 1 Accept 1 × 10−2

This question in 0580/11 Oct/Nov 2008

5 Hakim and Bashira measure their heights. Hakim’s height is 157 cm and Bashira’s height is 163 cm, both correct to the nearest centimetre. Find the greatest possible difference between their heights. Answer cm [2]

2 marks

Mark scheme: 5 6.999…. to 7 2 M1 for 156.5 or 163.499… to 163.5 seen

This question in 0580/11 May/June 2009

5 The number of spectators, N, at a football match is 16 000, correct to the nearest thousand. For Complete the statement for N in the answer space. Examiner's Use Answer Y N < [2]

2 marks

Mark scheme: 5 15500 Y N < 16500 1, 1 If zero, SC1 for correct but reversed

This question in 0580/11 Oct/Nov 2009

5 The number of spectators, N, at a football match is 16 000, correct to the nearest thousand. ForFor Complete the inequality for N in the answer space. Examiner'sExaminer's UseUse Answer Y N < [2]

2 marks

Mark scheme: 5 15500 Y N < 16500 1, 1 If zero, SC1 for correct but reversed

This question in 0580/12 Oct/Nov 2009

7 Joe measured the diameter of a tennis ball correct to the nearest millimetre. The upper bound of his measurement was 6.75 centimetres. Write down, in millimetres, the lower bound of his measurement. Answer mm [2]

2 marks

Mark scheme: 7 66.5 2 W1 for figs 665 cao or SC1 answer of 66.5 < LB < 67.5

This question in 0580/12 May/June 2010

8 (a) Use your calculator to work out 27.4 × (3.28 + 1.6 × 9.8) . Write down all the figures from your calculator display. Answer(a) [1] (b) Write your answer to part (a) correct to 3 significant figures. Answer(b) [1]

2 marks

Mark scheme: 8 (a) 519.504 1 (b) 520 1ft Only ft if their (a) is 4 figs or more 2

This question in 0580/13 May/June 2010

7 A box is 12 cm high, correct to the nearest centimetre. For Examiner's Complete the statement about the height, h cm, of the box. Use Answer Y=h I [2]

2 marks

Mark scheme: 7 11.5, 12.5 1, 1 Independent SC1 if answers reversed 230

This question in 0580/11 Oct/Nov 2010

10 Use your calculator to find the value of 25.63 . For Examiner's Use Write down your answer (a) as it appears on your calculator, Answer(a) [1] (b) correct to 4 significant figures. Answer(b) [1]

2 marks

Mark scheme: 10 (a) 5.062608(024) 1 (b) 5.063 1ft ft (a) to 4sf only if their (a) is 5 digits or more

This question in 0580/11 Oct/Nov 2010

5 A factory makes doors that are each 900 millimetres wide, correct to the nearest millimetre. Complete the statement about the width, w millimetres, of each door. Answer Y w I [2]

2 marks

Mark scheme: 5 899.5 Y w < 900.5 2 B1 for 1 correct or SC1 for correct but reversed.

This question in 0580/12 Oct/Nov 2010

14 9.6 × 7.8 − 0.53 × 86 4.95 (a) (i) Rewrite this calculation with each number written correct to 1 significant figure. Answer(a)(i) [1] (ii) Work out the answer to your calculation in part(a)(i). Do not use a calculator and show all your working. Answer(a)(ii) [2] (b) Use your calculator to work out the correct answer to the original calculation. Answer(b) [1]

4 marks

Mark scheme: 10 × 8 − 5.0 × 90 14 (a) (i) 1 5 (ii) 7(.0) cao 2 B1 for 80 (from 10 × 8) or 45 (from 0.5 × 90) or 5 (denominator) seen (b) 5.92 or 5.919(…..) 1

This question in 0580/12 Oct/Nov 2010

2 (a) Write down in figures the number twenty thousand three hundred and seventy six. Answer(a) [1] (b) Write your answer to part (a) correct to the nearest hundred. Answer(b) [1]

2 marks

Mark scheme: 2 (a) 20 376 1 (b) 20 400 1ft Their (a) to nearest 100

This question in 0580/11 May/June 2011

12 (a) Write 1738.279 correct to 1 decimal place. For Examiner's Use Answer(a) [1] (b) Write 28 700 in standard form. Answer(b) [1] (c) The mass of a ten-pin bowling ball is 7 kg to the nearest kilogram. Write down the lower bound of the mass of the ball. Answer(c) kg [1]

3 marks

Mark scheme: 12 (a) 1738.3 1 (b) 2.87 × 10 4 1 (c) 6.5 1 IGCSE – May/June 2011 0580 11 2

This question in 0580/11 May/June 2011

4 Ingrid throws a javelin a distance of 58.3 metres, correct to 1 decimal place. Complete the statement about the distance, d metres, the javelin is thrown. Answer Y d I [2]

2 marks

Mark scheme: 4 58.25 Y d < 58.35 1,1 SC1 for both correct values but reversed 14 16 14 7

This question in 0580/12 May/June 2011

15 (a) Write 67.499 correct to the nearest integer. Answer(a) [1] (b) Write 0.003040506 correct to 3 significant figures. Answer(b) [1] (c) d = 56.4, correct to 1 decimal place. Write down the lower bound of d. Answer(c) [1]

3 marks

Mark scheme: 15 (a) 67 1 (b) 0.00304 1 (c) 56.35 1

This question in 0580/13 May/June 2011

8 The population, P, of Brunei in 2008 was 400 000 correct to the nearest 1000. For Examiner's Complete the statement about the value of P. Use Answer Y P I [2]

2 marks

Mark scheme: 8 399 500 (≤ P <) 400 500 1, 1 SC1 for both correct reverse order

This question in 0580/12 Oct/Nov 2011

2 (a) Write, in figures, the number one hundred and five thousand and two. Answer(a) [1] (b) Write your answer to part (a) correct to the nearest ten thousand. Answer(b) [1]

2 marks

Mark scheme: 2 (a) 105 002 1 (b) 110 000 1ft

This question in 0580/13 Oct/Nov 2011

12 The population of a city is 128 000, correct to the nearest thousand. (a) Write 128 000 in standard form. Answer(a) [1] (b) Write down the upper bound of the population. Answer(b) [1]

2 marks

Mark scheme: 12 (a) 1.28 × 105 1 (b) 128 500 1

This question in 0580/13 Oct/Nov 2011

9 The temperature at the top of a mountain is –12°C. The temperature at the bottom of the mountain is 18°C. (a) Work out the difference in these temperatures. Answer(a) °C [1] (b) 18°C is given correct to the nearest degree. Write down the upper bound for this temperature. Answer(b) °C [1]

2 marks

Mark scheme: 9 (a) 30 1 (b) 18.5 1 x

This question in 0580/11 May/June 2012

4 A football ground seats 28 750 people when it is full. For Examiner's Use (a) Write 28 750 correct to the nearest thousand. Answer(a) [1] (b) One day 17 250 people attended a football match. Work out 17 250 as a percentage of 28 750. Answer(b) % [1]

2 marks

Mark scheme: 4 (a) 29 000 1 (b) 60 1

This question in 0580/11 Oct/Nov 2012

3 Write the following numbers correct to one significant figure. (a) 7682 Answer(a) [1] (b) 0.07682 Answer(b) [1]

2 marks

Mark scheme: 3 (b) 0.08 cao 1

This question in 0580/12 Oct/Nov 2012

3 (a) Calculate 5.7 – 1.032 . Write down all the numbers displayed on your calculator. Answer(a) … [1] (b) Write your answer to part (a) correct to 3 decimal places. Answer(b) … [1] _____________________________________________________________________________________

2 marks

Mark scheme: 3 (a) 1.32656 ….. 1 (b) 1.327 1ft

This question in 0580/11 May/June 2013

8 Sebastian ran a race in 11.4 seconds, correct to 1 decimal place. Complete the statement about the time, t seconds, that Sebastian took to run the race. Answer … Ğ t < … [2] _____________________________________________________________________________________

2 marks

Mark scheme: 8 11.35, 11.45 1, 1 SC1 for both answers correct but reversed

This question in 0580/11 May/June 2013

12 (a) Use your calculator to work out 65 – 1.72 . Write down all the numbers displayed on your calculator. Answer(a) … [1] (b) Write your answer to part (a) correct to 2 signifi cant fi gures. Answer(b) … [1] _____________________________________________________________________________________

2 marks

Mark scheme: 12 (a) 5.17225... 1 (b) 5.2 1FT FT their (a)

This question in 0580/12 May/June 2013

6 A television screen size, S cm, is 80 cm correct to the nearest centimetre. Complete the statement for S in the answer space. Answer … Y S I … [2] _____________________________________________________________________________________

2 marks

Mark scheme: 6 79.5 [≤ S <] 80.5 1, 1 SC1 answers reversed

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

15 The length, p cm, of a car is 440 cm, correct to the nearest 10 cm. For Examiner′s Use Complete the statement about p. Answer … Ğ p < … [2] _____________________________________________________________________________________

2 marks

Mark scheme: 15 435, 445 cao 2 B1 for one value in correct place or SC1 for both values correct but reversed

This question in 0580/11 Oct/Nov 2013

4.8 # 1.98276 5 p = 16.83 (a) In the spaces provided, write each number in this calculation correct to 1 signifi cant fi gure. Answer(a) … × … … [1] (b) Use your answer to part (a) to estimate the value of p. Answer(b) … [1] __________________________________________________________________________________________

2 marks

Mark scheme: 5× 2 5 (a) 1 20 1 (b) 0.5 or cao 1 2 n

This question in 0580/11 May/June 2014

8 The width, w cm, of a carpet is 455 cm, correct to the nearest centimetre. Complete the statement about the value of w. Answer … Ğ w < … [2] __________________________________________________________________________________________

2 marks

Mark scheme: 8 454.5 455.5 1, 1 SC1 for both correct but reversed 1 2 36 18

This question in 0580/11 May/June 2014

6 (a) Write 569 000 correct to 2 signifi cant fi gures. Answer(a) … [1] (b) Write 569 000 in standard form. Answer(b) … [1] __________________________________________________________________________________________

2 marks

Mark scheme: 6 (a) 570 000 1 (b) 5.69 × 105 1

This question in 0580/12 May/June 2014

11 The height of Mount Everest is 8800 m, correct to the nearest hundred metres. Complete the statement about the height, h metres, of Mount Everest. Answer … Ğ h < … [2] __________________________________________________________________________________________

2 marks

Mark scheme: 11 8750 8850 1, 1 If zero, SC1 for both correct but reversed

This question in 0580/12 May/June 2014

2 Write 15.0782 correct to (a) one decimal place, Answer(a) … [1] (b) the nearest 10. Answer(b) … [1] __________________________________________________________________________________________

2 marks

Mark scheme: 2 (a) 15.1 cao 1 (b) 20 cao 1

This question in 0580/11 Oct/Nov 2014

6 Indira measures the length, l centimetres, of her desk as 95.6 cm, correct to the nearest millimetre. Complete the statement about the value of l. Answer … Y l < … [2] __________________________________________________________________________________________

2 marks

Mark scheme: 6 95.55 95.65 1, 1 If zero, SC1 for both correct but reversed or 955.5 [mm] and 956.5 [mm] in correct place

This question in 0580/12 Oct/Nov 2014

6 The mass of a car is 1400 kg correct to the nearest hundred kilograms. Complete the statement about the mass, m kilograms, of the car. Answer …  m < … [2] __________________________________________________________________________________________

2 marks

Mark scheme: 6 1350 1450 1, 1 If zero, award SC1 for correct but reversed 2

This question in 0580/13 May/June 2015

5 Write 1426.3075 correct to (a) 2 decimal places, Answer(a) … [1] (b) 2 significant figures. Answer(b) … [1]

2 marks

Mark scheme: 5 (a) 1426.31 cao 1 (b) 1400 cao 1 4

This question in 0580/12 Oct/Nov 2015

4 Write 168.9 correct to 2 significant figures. Answer … [1] __________________________________________________________________________________________

1 marks

Mark scheme: 4 170 cao 1

This question in 0580/13 Oct/Nov 2015

6 (a) Write 6789 correct to the nearest 100. … [1] (b) Write 6789 correct to 3 significant figures. … [1]

2 marks

Mark scheme: 6 (a) 6800 1 (b) 6790 1 3 y − 7 3 y 7

This question in 0580/12 Feb/March 2016

3 Write 3.5897 correct to 4 significant figures. … [1]

1 marks

Mark scheme: 3 3.590 cao 1

This question in 0580/12 May/June 2016

2 Write 71 496 correct to 2 significant figures. … [1]

1 marks

Mark scheme: 2 71 000 cao 1

This question in 0580/13 May/June 2016

10 Lanying sells potatoes in bags. Each bag contains 5 kg of potatoes, correct to the nearest 0.1 kg. Complete the statement about the mass, m kilograms, of potatoes in each bag. … G m 1 … [2]

2 marks

Mark scheme: 10 4.95 5.05 1, 1 SC1 for both correct but reversed 1 6

This question in 0580/13 May/June 2016

4 Write 0.040 190 7 correct to (a) 3 significant figures, … [1] (b) 3 decimal places. … [1]

2 marks

Mark scheme: 4 (a) [0].0402 1 (b) [0].040 1

This question in 0580/11 Oct/Nov 2016

9 (a) Write 14 835 correct to the nearest thousand. … [1] (b) Write your answer to part (a) in standard form. … [1]

2 marks

Mark scheme: 9 (a) 15 000 cao 1 (b) 1.5 × 104 1FT FT their (a)

This question in 0580/12 Oct/Nov 2016

5 The mass, m kg, of a car is 948 kg, correct to the nearest kilogram. Complete the statement about the value of m. … G m 1 … [2]

2 marks

Mark scheme: 5 947.5, 948.5 2 B1 for either or both correct but reversed

This question in 0580/13 Oct/Nov 2016

7 Write 23.4571 correct to (a) 4 significant figures, … [1] (b) the nearest 10. … [1]

2 marks

Mark scheme: 7(a) 23.46 cao 1 7(b) 20 cao 1

This question in 0580/11 May/June 2017

12 The mass, m kilograms, of an elephant is 3570 kg, correct to the nearest 5 kg. Complete this statement about the value of m. … G m 1 … [2]

2 marks

Mark scheme: 12 3567.5 1 3572.5 1 SC1 for both correct but reversed

This question in 0580/11 May/June 2017

1 Write 0.071 64 correct to 2 significant figures. … [1]

1 marks

Mark scheme: Question Answer Marks Part Marks 1 [0].072 1

This question in 0580/12 May/June 2017

15 The mass, m kilograms, of a cat is 2.7 kg, correct to 1 decimal place. Complete the statement about the value of m. … G m 1 … [2]

2 marks

Mark scheme: 15 2.65 1 2.75 1 If zero scored, SC1 for correct answers but reversed

This question in 0580/12 May/June 2017

5 (a) Write 5367 correct to the nearest hundred. … [1] (b) Write 42.3478 correct to 3 decimal places. … [1]

2 marks

Mark scheme: 5(a) 5400 cao 1 5(b) 42.348 cao 1

This question in 0580/13 May/June 2017

5 Write 18.766 correct to (a) 1 decimal place, … [1] (b) 2 significant figures. … [1]

2 marks

Mark scheme: 5(a) 18.8 cao 1 5(b) 19 cao 1

This question in 0580/11 Oct/Nov 2017

8 The time, t seconds, that Jade takes to run a race is 14.3 seconds, correct to 1 decimal place. Complete this statement about the value of t. … G t 1 … [2]

2 marks

Mark scheme: 8 14.25 ……. 14.35 2 B1 for each correct or both correct but reversed

This question in 0580/11 Oct/Nov 2017

14 The length, l metres, of a ship is 362 m, correct to the nearest metre. Complete the statement about the value of l. … G l 1 … [2]

2 marks

Mark scheme: 14 361.5 1 362.5 1 If zero scored, SC1 for both correct but reversed

This question in 0580/12 Oct/Nov 2017

1 Write 4647 correct to the nearest 100. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 4600 1

This question in 0580/11 May/June 2018

5 (a) Write 0.002 68 correct to 2 significant figures. … [1] (b) Write 0.000 038 7 in standard form. … [1]

2 marks

Mark scheme: 5(a) [0].0027 1 5(b) 3.87 × 10–5 1

This question in 0580/11 May/June 2018

10 The height, h metres, of a boy is 1.72 m, correct to the nearest centimetre. Complete this statement about the value of h. … G h 1 … [2]

2 marks

Mark scheme: 10 1.715, 1.725 2 B1 for one correct in correct place If zero scored, SC1 for both correct but reversed or for 171.5 and 172.5

This question in 0580/11 May/June 2018

15 (a) Calculate 2.38 + 6.42 , writing down your full calculator display. … [1] (b) Write your answer to part (a) correct to 4 decimal places. … [1]

2 marks

Mark scheme: 15(a) 6.58331… 1 15(b) 6.5833 1 FT their (a) correctly rounded to 4 dp

This question in 0580/11 May/June 2018

10 (a) Write 209 802 correct to the nearest thousand. … [1] (b) Write 4123 correct to 3 significant figures. … [1]

2 marks

Mark scheme: 10(a) 210 000 cao 1 10(b) 4120 cao 1

This question in 0580/13 May/June 2018

15 The mass, m kilograms, of a package is 6.2 kg, correct to 1 decimal place. Complete the statement about the value of m. … G m 1 … [2]

2 marks

Mark scheme: 15 6.15 6.25 2 B1 for each or SC1 both correct but reversed

This question in 0580/13 May/June 2018

6 (a) Write 257 964 correct to the nearest thousand. … [1] (b) Write 0.060 31 correct to 2 significant figures. … [1]

2 marks

Mark scheme: 6(a) 258 000 1 6(b) [0].060 cao 1

This question in 0580/11 Oct/Nov 2018

11 Write these numbers correct to 2 significant figures. (a) 0.076 499 … [1] (b) 10 100 … [1]

2 marks

Mark scheme: 11(a) 0.076 cao 1 11(b) 10 000 cao 1

This question in 0580/13 Oct/Nov 2018

17 The mass, m kilograms, of Katy’s suitcase is 31 kg, correct to the nearest kilogram. Complete the statement about the value of m. … G m 1 … [2]

2 marks

Mark scheme: 17 30.5 31.5 2 B1 for each If 0 scored SC1 for both correct but reversed

This question in 0580/13 Oct/Nov 2018

8 (a) Write 0.046 875 correct to 2 significant figures. … [1] (b) Write 2 760 000 in standard form. … [1]

2 marks

Mark scheme: 8(a) 0.047 1 8(b) 2.76 × 106 1

This question in 0580/12 Feb/March 2019

16 The width, w metres, of a room is 4.2 metres, correct to the nearest 10 centimetres. Complete this statement about the value of w. … G w 1 … [2]

2 marks

Mark scheme: 16 4.15, 4.25 2 B1 for each one in correct position. If 0 scored SC1 for both correct but reversed.

This question in 0580/12 Feb/March 2019

10 The length of a truck, L metres, is 8.2 m, correct to 1 decimal place. Complete this statement about the value of L. … G L 1 … [2]

2 marks

Mark scheme: 10 8.15 8.25 2 B1 for each If 0 scored, SC1 for both correct but reversed

This question in 0580/11 May/June 2019

10 (a) Write 0.047 883 correct to 2 significant figures. … [1] (b) Write 0.005 27 in standard form. … [1]

2 marks

Mark scheme: 10(a) 0.048 cao 1 10(b) 5.27 × 10− 3 1

This question in 0580/12 May/June 2019

1 Write 3.058 correct to 3 significant figures. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 3.06 cao 1

This question in 0580/13 May/June 2019

15 Genaro measures the length, l cm, of his desk as 120 cm, correct to the nearest centimetre. Complete the statement about the value of l. … G l 1 … [2]

2 marks

Mark scheme: 15 119.5 120.5 2 B1 for each If 0 scored, SC1 for both correct but reversed

This question in 0580/13 May/June 2019

6 (a) Write 8473 correct to the nearest ten. … [1] (b) Write 16.086 correct to 2 decimal places. … [1]

2 marks

Mark scheme: 6(a) 8470 cao 1 6(b) 16.09 cao 1

This question in 0580/11 Oct/Nov 2019

1 (a) Write in figures the number fifty‑three thousand and thirty‑five. … [1] (b) Write 8379 correct to the nearest hundred. … [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 53 035 1 1(b) 8400 1

This question in 0580/12 May/June 2020

13 The height, h metres, of a tower is 76.3 m, correct to 1 decimal place. Complete this statement about the value of h. … G h 1 … [2]

2 marks

Mark scheme: 13 76.25 76.35 2 B1 for each or both correct and reversed

This question in 0580/12 May/June 2020

2 Write 867 correct to the nearest ten. … [1]

1 marks

Mark scheme: 2 870 1

This question in 0580/12 Oct/Nov 2020

18 (a) The length, l cm, of a pencil is 18 cm, correct to the nearest centimetre. Complete the statement about the value of l. … G l 1 … [2] (b) (i) Write .9314 # 105 as an ordinary number. … [1] (ii) Calculate ( 4.1 # 10 - 3 ) # (8 .9 # 10 7 ) . Give your answer in standard form. … [2] (c) Calculate ( 8 + 4 # 75 .06 ) . … [1]

6 marks

Mark scheme: 18(a) 17.5 18.5 2 B1 for each If 0 scored, SC1 for both correct but reversed 18(b)(i) 931 400 1 18(b)(ii) 3.649 × 105 2 B1 for 364 900 or for a correct final answer not in standard form 18(c) 7.83 or 7.83[2…..] 1

This question in 0580/12 Oct/Nov 2020

3 (a) Write 97.4236 correct to 3 decimal places. … [1] (b) Write down the reciprocal of 2. … [1]

2 marks

Mark scheme: 3(a) 97.424 1 3(b) 1 1 or 0.5 2

This question in 0580/13 Oct/Nov 2020

14 The length, l cm, of a line is 18.3 cm, correct to the nearest millimetre. Complete this statement about the value of l. … G l 1 … [2]

2 marks

Mark scheme: 14 18.25, 18.35 2 B1 for each or SC1 for both values correct but reversed

This question in 0580/13 Oct/Nov 2020

5 (a) Tanvi rounds the number 4896. She writes down 4900. Rahul says Tanvi rounded 4896 correct to the nearest 100. Explain why Rahul cannot be certain that Tanvi rounded 4896 correct to the nearest 100. … … [1] (b) Calculate. 6.4 # 42 17.9 - 6.1 Give your answer correct to 3 decimal places. … [2]

3 marks

Mark scheme: 5(a) A correct alternative rounding 1 e.g. Tanvi rounded to nearest 10 5(b) 8.678 2 512 40 M1 for or 859 or 8.68 or 8.67 or 59 8.677…

This question in 0580/12 Feb/March 2021

15 The length, l metres, of a piece of rope is 5.67 m, correct to the nearest centimetre. Complete this statement about the value of l. … G l 1 … [2]

2 marks

Mark scheme: 15 5.665 5.675 2 B1 for each in correct order If 0 scored, SC1 for correct answers reversed or for 566.5 and 567.5 in correct places

This question in 0580/11 May/June 2021

1 (a) Write the number four hundred thousand and four hundred in figures. … [1] (b) Write 60 287 correct to the nearest ten. … [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 400 400 1 1(b) 60 290 1

This question in 0580/12 Oct/Nov 2021

3 Write 9876 correct to the nearest thousand. … [1]

1 marks

Mark scheme: 3 10 000 1

This question in 0580/12 Feb/March 2022

19 The length, l metres, of a piece of rope is 30.7 m, correct to 1 decimal place. Complete this statement about the value of l. … G l 1 … [2]

2 marks

Mark scheme: 19 30.65, 30.75 2 B1 for each or if zero scored, SC1 for both answers correct but reversed

This question in 0580/12 May/June 2022

5 Write 56.17345 correct to 1 decimal place. … [1]

1 marks

Mark scheme: 5 56.2 1

This question in 0580/12 Feb/March 2023

18 The mass, m kg, of a bag of sand is 12 kg, correct to the nearest kilogram. Complete the statement about the value of m. … G m 1 … [2]

2 marks

Mark scheme: 18 11.5, 12.5 2 B1 for each If 0 scored, SC1 for both correct but reversed

This question in 0580/12 Feb/March 2023

2 Write 3752 correct to the (a) nearest 10 … [1] (b) nearest 100. … [1]

2 marks

Mark scheme: 2(a) 3750 cao 1 2(b) 3800 cao 1

This question in 0580/11 May/June 2023

18 The length, l metres, of a piece of wood is 3.6 metres, correct to the nearest 10 centimetres. Complete this statement about the value of l. … G l 1 … [2]

2 marks

Mark scheme: 18 3.55 3.65 2 B1 for each If 0 scored, SC1 for correct but reversed or for 355 ⩽ l < 365

This question in 0580/11 May/June 2023

23 (a) The mass, m kilograms, of object A is 350 kg, correct to the nearest 10 kg. Complete this statement about the value of m. … G m 1 … [2] (b) The mass of object B is 348 kg, correct to the nearest kilogram. Show that the mass of object B may be more than the mass of object A. … [1]

3 marks

Mark scheme: 23(a) 345 355 2 B1 for one correct and in the correct position If 0 scored, SC1 for both correct but reversed 23(b) Any correct response e.g. A could be 345 1 Dependent on 345 given as a limit in part (a)

This question in 0580/12 May/June 2023

1 Write 928 correct to the nearest ten. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 930 1

This question in 0580/13 May/June 2023

8 Write 24.07839 (a) correct to 2 decimal places … [1] (b) correct to the nearest 10. … [1]

2 marks

Mark scheme: 8(a) 24.08 cao 1 8(b) 20 cao 1

This question in 0580/12 Oct/Nov 2023

2 Write 5926 correct to the nearest 10. … [1]

1 marks

Mark scheme: 2 5930 1

This question in 0580/12 Feb/March 2024

21 The length, l m, of a rope is 18.7 m, correct to the nearest 10 centimetres. Complete this statement about the value of l. … G l 1 … [2]

2 marks

Mark scheme: 21 18.65 18.75 2 B1 for each If 0 scored SC1 for both correct but reversed or written in centimetres.

This question in 0580/12 Feb/March 2024

1 (a) Write 0.8 as a fraction. … [1] (b) Write 28% as a decimal. … [1] (c) Write 4876 correct to the nearest hundred. … [1]

3 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 8 1 oe fraction 10 1(b) 0.28 1 1(c) 4900 cao 1

This question in 0580/11 May/June 2024

12 Write 0.04628 correct to 2 significant figures. … [1]

1 marks

Mark scheme: 12 0.046 cao 1

This question in 0580/12 May/June 2024

22 The length, l metres, of a piece of material is 4.5 m, correct to the nearest 10 cm. Complete this statement about the value of l. … G l 1 … [2]

2 marks

Mark scheme: 22 4.45 4.55 2 B1 for each If 0 scored, SC1 for both correct but reversed or for 445 ⩽ l < 455

This question in 0580/12 May/June 2024

4 (a) Write 164 703 correct to the nearest thousand. … [1] (b) Write 16.983 correct to 1 decimal place. … [1] (c) Write 0.037 665 correct to 2 significant figures. … [1]

3 marks

Mark scheme: 4(a) 165 000 cao 1 4(b) 17.0 cao 1 4(c) 0.038 cao 1

This question in 0580/13 May/June 2024

18 The length, s metres, of a ship is 83 m, correct to the nearest metre. Complete this statement about the value of s. … G s 1 … [2]

2 marks

Mark scheme: 18 82.5 83.5 2 B1 for one correct or both correct but reversed

This question in 0580/13 May/June 2024

17 A distance, d metres, measures 34.6 m, correct to the nearest 0.1 m. Complete this statement about the value of d. … G d 1 … [2]

2 marks

Mark scheme: 17 34.55 34.65 2 B1 for each or SC1 for both correct but reversed

This question in 0580/11 Oct/Nov 2024

5 Write 53 683.588 correct to (a) the nearest hundred … [1] (b) 1 decimal place. … [1]

2 marks

Mark scheme: 5(a) 53 700 cao 1 5(b) 53 683.6 cao 1

This question in 0580/12 Oct/Nov 2024

1 Write 6475 correct to the nearest ten. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 6480 1

This question in 0580/13 Oct/Nov 2024

20 The weight, w grams, of a box is 463.9 grams, correct to 1 decimal place. Complete the statement about the value of w. … G w 1 … [2]

2 marks

Mark scheme: 20 463.85 463.95 2 B1 for each If 0 scored SC1 for both correct but reversed

This question in 0580/13 Oct/Nov 2024

20 The height, h metres, of a building is 635 m, correct to the nearest metre. Complete this statement about the value of h. … G h 1 … [2]

2 marks

Mark scheme: 20 634.5 635.5 2 B1 for each If 0 scored SC1 for both correct but answers reversed

This question in 0580/12 Feb/March 2025

22 The mass, m kg, of a stone is 3.2 kg, correct to the nearest 100 g. Complete this statement about the value of m. … G m 1 … [2]

2 marks

Mark scheme: 22 3.15 3.25 2 B1 for each If 0 scored SC1 for both correct but reversed or for 3150  m  3250

This question in 0580/12 May/June 2025

1 (a) Write the number four hundred and sixty thousand and five in figures. … [1] (b) Write 52 149 correct to the nearest hundred. … [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 460 005 1 1(b) 52 100 cao 1

This question in 0580/11 Oct/Nov 2025

3 (a) Write 17 469 correct to the nearest ten. … [1] (b) Write 5.073 correct to 1 decimal place. … [1]

2 marks

Mark scheme: 3(a) 17 470 cao 1 3(b) 5.1 cao 1

This question in 0580/12 Oct/Nov 2025

26 The length, l metres, of a rope is 16.32 metres, correct to 2 decimal places. Complete this statement about the value of l. … G l 1 … [2]

2 marks

Mark scheme: 26 16.315 16.325 2 B1 for each If 0 scored, SC1 for both correct but reversed

This question in 0580/12 Oct/Nov 2025

2 (a) Write the number 83 042 in words. … [1] (b) Write down the value of the 7 in the number 346 709. … [1] (c) Write 8453 correct to (i) the nearest hundred … [1] (ii) the nearest ten. … [1]

4 marks

Mark scheme: 2(a) Eighty-three thousand [and] forty-two 1 2(b) 700 1 2(c)(i) 8500 1 2(c)(ii) 8450 1

This question in 0580/13 Oct/Nov 2025

20 The height, h cm, of a door is 180 cm, correct to the nearest centimetre. Complete this statement about the value of h. … G h 1 … [2]

2 marks

Mark scheme: 20 179.5 180.5 2 B1 for each If 0 scored SC1 for both correct but reversed

This question in 0580/13 Oct/Nov 2025