Limits of accuracy — Paper 2 · IGCSE Mathematics 0580

13 A square has sides of length d metres. For This length is 120 metres, correct to the nearest 10 metres. Examiner's Use (a) Complete the statement in the answer space. Answer(a) d < [1] (b) Calculate the difference between the largest and the smallest possible areas of the square. Answer(b) m2 [2]

3 marks

Mark scheme: 13 (a) 115 125 1 (b) 2400 2√ M1 their 1252 – their 1152

This question in 0580/21 Oct/Nov 2004

6 In 2005 there were 9 million bicycles in Beijing, correct to the nearest million. The average distance travelled by each bicycle in one day was 6.5 km correct to one decimal place. Work out the upper bound for the total distance travelled by all the bicycles in one day. Answer km [2]

2 marks

Mark scheme: 6 62225000 or 6.2225 × 107 or 62.225 2 M1 9.5(million) and 6.55 seen million cao 3sf not appropriate for UB and not allowed for 2 marks

This question in 0580/21 May/June 2009

11 For Examiner's Use 24 cm NOT TO 18 cm 18 cm SCALE 24 cm 24 cm 18 cm 18 cm 24 cm 24 cm 18 cm 18 cm 24 cm Each of the lengths 24 cm and 18 cm is measured correct to the nearest centimetre. Calculate the upper bound for the perimeter of the shape. Answer cm [3]

3 marks

Mark scheme: 11 258 cao 3 M1 18.5 or 24.5 seen M1 6 × sum of their two upper bounds

This question in 0580/21 Oct/Nov 2009

1 1 1 1 6 Calculate the value of + 2 2 2 2 (a) writing down all the figures in your calculator answer, Answer(a) [1] (b) writing your answer correct to 4 significant figures. Answer(b) [1]

2 marks

Mark scheme: 6 (a) 0.461939(…) 1 (b) 0.4619 or ft 1ft 1 2

This question in 0580/21 May/June 2010

9 A fence is made from 32 identical pieces of wood, each of length 2 metres correct to the nearest centimetre. Calculate the lower bound for the total length of the wood used to make this fence. Write down your full calculator display. Answer m [3]

3 marks

Mark scheme: 9 63.84 cao 3 M1 figs 1995 M1 32 × their lower bound 3

This question in 0580/22 May/June 2010

10 The length of each side of an equilateral triangle is 74 mm, correct to the nearest millimetre. Calculate the smallest possible perimeter of the triangle. Answer mm [2]

2 marks

Mark scheme: 10 220.5 cao 2 M1 for 73.5 seen h 55

This question in 0580/23 May/June 2010

6 Write 0.00658 (a) in standard form, Answer(a) [1] (b) correct to 2 significant figures. Answer(b) [1]

2 marks

Mark scheme: 6 (a) 6.58 × 10–3 1 × and 10 essential (b) 0.0066 cao 1 Allow 6.6 × 10–3 1

This question in 0580/22 Oct/Nov 2010

9 When a car wheel turns once, the car travels 120 cm, correct to the nearest centimetre. Calculate the lower and upper bounds for the distance travelled by the car when the wheel turns 20 times. Answer lower bound cm upper bound cm [2]

2 marks

Mark scheme: 9 2390 2 M1 119.5 and 120.5 2410 or B1 for one correct answer

This question in 0580/22 Oct/Nov 2010

12 The side of a square is 6.3 cm, correct to the nearest millimetre. For The lower bound of the perimeter of the square is u cm and the upper bound of the perimeter is v cm. Examiner's Calculate the value of Use (a) u, Answer(a) u = [1] (b) v – u. Answer(b) v – u = [1]

2 marks

Mark scheme: 12 (a) 25 1 If zero scored SC1 for 250 and 4 or 6.25 and 6.35 (b) 0.4 1 1 0 7 6 6

This question in 0580/23 Oct/Nov 2010

11 A rectangular photograph measures 23.3 cm by 19.7 cm, each correct to 1 decimal place. ForFor Calculate the lower bound for Examiner'sExaminer's UseUse (a) the perimeter, Answer(a) cm [2] (b) the area. Answer(b) cm2 [1]

3 marks

Mark scheme: y 11 (a) 85.8 2 M1 for 23.25 and 19.65 seen (b) 456.8625 cao 1

This question in 0580/21 May/June 2011

4 Helen measures a rectangular sheet of paper as 197 mm by 210 mm, each correct to the nearest For millimetre. Examiner's Calculate the upper bound for the perimeter of the sheet of paper. Use Answer mm [2]

2 marks

Mark scheme: 4 816 cao 2 M1 197.5 and 210.5 seen

This question in 0580/23 May/June 2011

4 The cost of making a chair is $28 correct to the nearest dollar. Calculate the lower and upper bounds for the cost of making 450 chairs. Answer lower bound $ upper bound $ [2]

2 marks

Mark scheme: 4 12375 cao 2 B1, B1 12825 cao If no marks scored give M1 for 27.5 and 28.5 seen 1 6 4 3 13 25

This question in 0580/22 Oct/Nov 2011

5 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: 5 (a) 1.28 × 105 1 (b) 128 500 1

This question in 0580/23 Oct/Nov 2011

7 The sides of a rectangle are 6.3 cm and 4.8 cm, each correct to 1 decimal place. Calculate the upper bound for the area of the rectangle. Answer cm2 [2]

2 marks

Mark scheme: 7 30.7975 cao 2 M1 6.35 and 4.85 seen

This question in 0580/21 May/June 2012

3 1.5 0.9 3 (a) Calculate 7 + 22 and write down your full calculator display. Answer(a) [1] (b) Write your answer to part (a) correct to 4 significant figures. Answer(b) [1]

2 marks

Mark scheme: 3 (a) 3.26077… 1 seen (b) 3.261 1ft their (a) to 4 significant figures

This question in 0580/23 May/June 2012

5 9 cm 5 cm 5 cm NOT TO SCALE 12 cm The diagram shows a quadrilateral. The lengths of the sides are given to the nearest centimetre. Calculate the upper bound of the perimeter of the quadrilateral. Answer cm [2]

2 marks

Mark scheme: 5 33 cao www 2 M1 any two of 5.5, 9.5, 12.5 seen

This question in 0580/23 May/June 2012

10 A large water bottle holds 25 litres of water correct to the nearest litre. For A drinking glass holds 0.3 litres correct to the nearest 0.1 litre. Examiner's Use Calculate the lower bound for the number of glasses of water which can be filled from the bottle. Answer [3]

3 marks

Mark scheme: 10 70 3 B1 24.5 or 0.35 seen M1 their LB ÷ their UB 2

This question in 0580/21 Oct/Nov 2012

8 A carton contains 250 ml of juice, correct to the nearest millilitre. Complete the statement about the amount of juice, j ml, in the carton. Answer Y j I [2]

2 marks

Mark scheme: 8 249.5 [Y j<=] 250.5 cao 2 B1 for either, or both correct but reversed

This question in 0580/23 Oct/Nov 2012

2 (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: 2 (a) 1.32656... 1 (b) 1.327 1ft

This question in 0580/21 May/June 2013

9 An equilateral triangle has sides of length 16.1 cm, correct to the nearest millimetre. Find the lower and upper bounds of the perimeter of the triangle. Answer Lower bound = … cm Upper bound = … cm [2] _____________________________________________________________________________________

2 marks

Mark scheme: 9 48.15, 48.45 cao 2 B1 B1 If 0 then M1 for 16.0 and 16.15 soi

This question in 0580/21 May/June 2013

7 The length, p cm, of a car is 440 cm, correct to the nearest 10 cm. Complete the statement about p. Answer … Ğ p < … [2] _____________________________________________________________________________________

2 marks

Mark scheme: 7 435, 445 cao 2 B1 for one value in the correct place or SC1 for both values correct but reversed 20 1. × 100 f

This question in 0580/21 Oct/Nov 2013

12 A circle has a radius of 8.5 cm correct to the nearest 0.1 cm. The lower bound for the area of the circle is pπ cm2. The upper bound for the area of the circle is qπ cm2. Find the value of p and the value of q. Answer p = … q = … [3] _____________________________________________________________________________________

3 marks

Mark scheme: 12 p = 71.4025 cao 3 B1 for 8.45 and 8.55 seen q = 73.1025 cao M1 for their LB2 [π] or their UB2 [π] If 0 scored, SC1 for one correct.

This question in 0580/22 Oct/Nov 2013

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

2 marks

Mark scheme: 6 (a) 15.1 cao 1 (b) 20 cao 1 ( )

This question in 0580/21 Oct/Nov 2014

4 An equilateral triangle has sides of length 6.2 cm, correct to the nearest millimetre. Complete the statement about the perimeter, P cm, of the triangle. Answer …  P  … [2]

2 marks

Mark scheme: 4 18.45 1 If 0 scored, SC1 for 6.15 and 6.25 seen 18.75 1 or for correct answers reversed

This question in 0580/23 May/June 2015

18 A rectangle has length 5.8 cm and width 2.4 cm, both correct to 1 decimal place. Calculate the lower bound and the upper bound of the perimeter of this rectangle. Answer Lower bound … cm Upper bound … cm [3]

3 marks

Mark scheme: 18 16.2 3 M1 for two of 2.35, 5.75, 2.45, 5.85 seen or 2 × (5.8 – 0.05 + 2.4 0.05) 16.6 nfww or 2 × (5.8 + 0.05 + 2.4 + 0.05) A1 16.2 or 16.6 in either answer space If zero scored SC2 for both correct reversed answers provided 16.6 nfww ( ) 2

This question in 0580/22 Oct/Nov 2015

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

1 marks

Mark scheme: Question Answer Mark Part marks 1 170 cao 1

This question in 0580/23 Oct/Nov 2015

20 The volume of a cuboid is 878 cm3, correct to the nearest cubic centimetre. The length of the base of the cuboid is 7 cm, correct to the nearest centimetre. The width of the base of the cuboid is 6 cm, correct to the nearest centimetre. Calculate the lower bound for the height of the cuboid. Answer … cm [3] __________________________________________________________________________________________

3 marks

Mark scheme: 8775. 20 18 cao nfww 3 M2 for 5.7 × 5.6 or B1 for any two of 877.5, 7.5 and 6.5 seen

This question in 0580/23 Oct/Nov 2015

12 A metal pole is 500 cm long, correct to the nearest centimetre. The pole is cut into rods each of length 5.8 cm, correct to the nearest millimetre. Calculate the largest number of rods that the pole can be cut into. … [3]

3 marks

Mark scheme: 12 87 cao nfww 3 B2 for 87.04…. or 87.0 nfww or M1 for 500.5 or 5.75 seen or for (500 + 0.5) ÷ (5.8 – 0.05) and B1 for truncating their decimal answer to an integer 5 2 5 2

This question in 0580/22 Feb/March 2016

10 The sides of an equilateral triangle are 9.4 cm, correct to the nearest millimetre. Work out the upper bound of the perimeter of this triangle. … cm [2]

2 marks

Mark scheme: 10 28.35 cao 2 B1 for 9.45 seen or M1 for (9.4 + 0.05) × 3

This question in 0580/21 May/June 2016

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

1 marks

Mark scheme: 23 Coorrectt shhadiingg wwith thrreee ruuledd 5 B22 foor 3x ++ 4yy == 122 linne thrrouggh (0,, 3)) annd ((4, 0) acccurratee soolidd bounb ndaaryy linnes or BB1 foor a diaagoonaal liine thrrouughh onne oof tthesse ppoiintss B1 foor y = 22x linne thhroouggh ((0, 00) aandd (11, 22) oor tthrrouggh (1,, 2)) annd ((3, 6) B1 foor x = 33 liine R 24 (a) a + b – c 1 1 1 1 (b) a + b + c 2 M1 for c + ½ (their (a)) or for a correct route 2 2 2 1 e.g. OC + CB , OQ 2 1 1 1 1 1 (c) c – a – b 2 M1 for b – (their (a)) or other correct route 2 2 6 3 2 2 e.g. – b – a + their (b), PO + OQ 3

This question in 0580/22 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 0580/23 May/June 2016

17 (a) V = IR In an experiment I and R are both measured correct to 1 decimal place. When I = 4.0 and R = 2.7, find the lower bound for V. … [2] D (b) S = T In an experiment D and T are both measured correct to 2 significant figures. When D = 7.6 and T = 0.23, find the upper bound for S. … [2]

4 marks

Mark scheme: 17 (a) 10.4675 cao nfww 2 B1 for 3.95 or 2.65 seen or M1 for (4.0 – 0.05) × (2.7 – 0.05) (b) 34 nfww 2 B1 for 7.65 or 0.225 seen or M1 for (7.6 + 0.05) ÷ (0.23 – 0.005)

This question in 0580/23 May/June 2016

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

2 marks

Mark scheme: 2 (a) [0].0402 1 (b) [0].040 1

This question in 0580/21 Oct/Nov 2016

1 (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: Question Answer Mark Part marks 1 (a) 15000 cao 1 (b) 1.5 × 10 4 1FT FT their (a)

This question in 0580/22 Oct/Nov 2016

6 The sides of a square are 8 cm, correct to the nearest centimetre. Calculate the upper bound for the area of the square. … cm2 [2]

2 marks

Mark scheme: 6 72.25 cao 2 M1 for 8 + 0.5 or better seen

This question in 0580/22 Oct/Nov 2016

8 The length of a car is 4.2 m, correct to 1 decimal place. Write down the upper bound and the lower bound of the length of this car. Upper bound = … m Lower bound = … m [2]

2 marks

Mark scheme: 8 4.25 2 B1 for each or both answers reversed 4.15

This question in 0580/23 Oct/Nov 2016

7 The length of a rectangle is 9.3 cm, correct to 1 decimal place. Its width is 7.7 cm, correct to 1 decimal place. Write down the lower bound and the upper bound for the area of the rectangle. Lower bound = … cm2 Upper bound = … cm2 [3]

3 marks

Mark scheme: 7 70.7625 cao and 72.4625 cao 3 B2 for 70.7625 or 72.4625 or M2 for 9.25 × 7.65 and 9.35 × 7.75 or B1 for two of 9.25, 9.35, 7.65, 7.75 seen 10 5

This question in 0580/22 Feb/March 2017

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

2 marks

Mark scheme: 3(a) 23.46 cao 1 3(b) 20 cao 1

This question in 0580/21 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 0580/22 May/June 2017

18 A rectangle has length 62 mm and width 47 mm, both correct to the nearest millimetre. The area of this rectangle is A mm2. Complete the statement about the value of A. … G A 1 … [3]

3 marks

Mark scheme: 18 2859.75 2968.75 cao 3 B2 for one correct seen final answer or B1 for 62.5 or 61.5 or 46.5 or 47.5 seen or M1 for (62 + 0.5) × (47 + 0.5) or (62 – 0.5) × (47 – 0.5)

This question in 0580/22 May/June 2017

5 .04 - 33 (a) Use a calculator to work out . 0.13 - 0. 015 Write down all the digits in your calculator display. … [1] (b) Write your answer to part (a) correct to 2 significant figures. … [1]

2 marks

Mark scheme: 3(a) 1.49220…. 1 3(b) 1.5 1FT FT their answer to (a) rounded correctly to 2 significant figures

This question in 0580/21 Oct/Nov 2017

8 NOT TO SCALE The diagram shows three identical cuboids in a tower. The height of one cuboid is 6.5 cm, correct to the nearest millimetre. Work out the upper bound of the height of the tower. … cm [2]

2 marks

Mark scheme: 8 19.65 cao 2 B1 for 6.55 seen (must be evaluated, not 6.5 + 0.05) or M1 for 3 × (6.5 + 0.05)

This question in 0580/21 Oct/Nov 2017

10 The sides of a triangle are 5.2 cm, 6.3 cm and 9.4 cm, each correct to the nearest millimetre. Calculate the lower bound of the perimeter of the triangle. … cm [2]

2 marks

Mark scheme: 10 20.75 final answer cao 2 B1 for one of 5.15, 6.25 or 9.35 seen or M1 for (5.2 – 0.05) + (6.3 – 0.05) + (9.4 – 0.05)

This question in 0580/22 Oct/Nov 2017

10 (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: 10(a) 6.58331… 1 10(b) 6.5833 1 FT their (a) correctly rounded to 4 dp

This question in 0580/21 May/June 2018

12 Anna walks 31 km at a speed of 5 km/h. Both values are correct to the nearest whole number. Work out the upper bound of the time taken for Anna’s walk. … hours [2]

2 marks

Mark scheme: 12 7 cao nfww 2 B1 for 31 + 0.5 or 5 – 0.5 or 31.5 or 4.5 seen

This question in 0580/22 May/June 2018

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

2 marks

Mark scheme: 6(a) 210 000 cao 1 6(b) 4120 cao 1

This question in 0580/23 May/June 2018

16 (a) The length of the side of a square is 12 cm, correct to the nearest centimetre. Calculate the upper bound for the perimeter of the square. … cm [2] (b) Jo measures the length of a rope and records her measurement correct to the nearest ten centimetres. The upper bound for her measurement is 12.35 m. Write down the measurement she records. … m [1]

3 marks

Mark scheme: 16(a) 50 cao nfww 2 B1 12.5 seen or M1 for 12 + 0.5 or better 16(b) 12.3 1

This question in 0580/23 May/June 2018

8 Saafia has a barrel containing 6000 millilitres of oil, correct to the nearest 100 ml. She uses the oil to fill bottles which each hold exactly 50 ml. Calculate the upper bound for the number of bottles she can fill. … [2]

2 marks

Mark scheme: 8 121 nfww 2 M1 for (6000 + 50) ÷ 50 or B1 for 6050 seen

This question in 0580/21 Oct/Nov 2018

11 An equilateral triangle has side length 12 cm, correct to the nearest centimetre. Find the lower bound and the upper bound of the perimeter of the triangle. Lower bound = … cm Upper bound = … cm [2]

2 marks

Mark scheme: 11 34.5 and 2 B1 for 11.5 or 12.5 seen 37.5 final answers or M1 for (12 – 0.5) × 3 or (12 + 0.5) × 3

This question in 0580/22 Oct/Nov 2018

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

2 marks

Mark scheme: 8(a) 0.076 cao 1 8(b) 10 000 cao 1

This question in 0580/23 Oct/Nov 2018

12 The area of a square is 42.5 cm2, correct to the nearest 0.5 cm2. Calculate the lower bound of the length of the side of the square. … cm [2]

2 marks

Mark scheme: 12 6.5[0] nfww final answer 2 M1 for 42.5 – 0.25 implied by 42.25

This question in 0580/23 Oct/Nov 2018

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

2 marks

Mark scheme: 4(a) 0.047 1 4(b) 2.76 × 10 6 1

This question in 0580/22 Feb/March 2019

4 An equilateral triangle has sides of length 15 cm, correct to the nearest centimetre. Calculate the upper bound of the perimeter of this triangle. … cm [1]

1 marks

Mark scheme: 4 46.5 1

This question in 0580/21 May/June 2019

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

2 marks

Mark scheme: 8(a) 0.048 cao 1 8(b) 5.27 × 10−3 1

This question in 0580/22 May/June 2019

1 Write 1.8972 correct to 2 decimal places. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 1.90 cao 1

This question in 0580/23 May/June 2019

b # h16 A = 2 A = 10 , correct to the nearest whole number. h = 4 , correct to the nearest whole number. Work out the upper bound for the value of b. … [3]

3 marks

Mark scheme: 16 6 nfww 3 B1 for 10 + 0.5 or 4 – 0.5 soi 2A M1 for [b = ] soi h

This question in 0580/23 May/June 2019

12 The sides of a square are 15.1 cm, correct to 1 decimal place. Find the upper bound of the area of the square. … cm2 [2]

2 marks

Mark scheme: 12 229.5225 final answer cao 2 M1 for (15.1 + 0.05)2 or B1 for 15.15 seen

This question in 0580/21 Oct/Nov 2019

18 A car travels at a constant speed. It travels a distance of 146.2 m, correct to 1 decimal place. This takes 7 seconds, correct to the nearest second. Calculate the upper bound for the speed of the car. … m/s [3]

3 marks

Mark scheme: 18 22.5 nfww 3 146.2 + 0.05 M2 for 7 − 0.5 or M1 for 146.2 + 0.05 or 7 – 0.5 or better seen

This question in 0580/22 Feb/March 2020

18 P = 2(w + h) w = 12 correct to the nearest whole number. h = 4 correct to the nearest whole number. Work out the upper bound for the value of P. … [2]

2 marks

Mark scheme: 18 34 2 M1 for 12 + 0.5 or 4 + 0.5 or better seen

This question in 0580/21 May/June 2020

15 Ella’s height is 175 cm, correct to the nearest 5 cm. Write down the upper bound of Ella’s height. … cm [1]

1 marks

Mark scheme: 15 177.5 1

This question in 0580/22 May/June 2020

18 The sides of an isosceles triangle are measured correct to the nearest millimetre. One side has a length of 8.2 cm and another has a length of 9.4 cm. Find the largest possible value of the perimeter of this triangle. … cm [3]

3 marks

Mark scheme: 18 27.15 cao 3 M2 for (9.4 + 0.05) × 2 + 8.2 + 0.05 or better or M1 for 8.2 + 0.05 or 9.4 + 0.05 or better seen OR SC2 for answer 25.95 or SC1 for answer 26.85

This question in 0580/22 Oct/Nov 2020

8 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: 8 18.25, 18.35 2 B1 for each or SC1 for both values correct but reversed

This question in 0580/23 Oct/Nov 2020

22 (a) A bag of rice has a mass of 25 kg, correct to the nearest kilogram. Calculate the lower bound of the total mass of 10 of these bags. … kg [1] (b) Virat has 200 metres of wire, correct to the nearest metre. He cuts the wire into n pieces of length 3 metres, correct to the nearest 20 centimetres. Calculate the largest possible value of n. n = … [3]

4 marks

Mark scheme: 22(a) 245 1 22(b) 69 cao nfww 3 200 + 0.5 M2 for oe 3 − 0.1 or M1 for 200 ± 0.5 oe or 3 ± 0.1 oe seen

This question in 0580/22 Feb/March 2021

20 The distance between two towns is 600 km, correct to the nearest 10 km. A car takes 8 hours 40 minutes, correct to the nearest 10 minutes, to travel this distance. Calculate the lower bound for the average speed of the car in km/h. … km/h [3]

3 marks

Mark scheme: 20 68 nfww 3 600 − 5 590 to 600 M2 for or oe 8h 40 to 8h 50 8h 40 + 5 [ m ] or M1 for 600 – 5 oe or 8h 40 + 5[m] oe or 520 + 5 oe[m] seen

This question in 0580/21 May/June 2021

16 The sides of a regular hexagon are 80 mm, correct to the nearest millimetre. Calculate the lower bound of the perimeter of the hexagon. … mm [2]

2 marks

Mark scheme: 16 477 2 M1 for 80 – 0.5 oe or better seen

This question in 0580/23 May/June 2021

21 Neha has a piece of ribbon of length 23 cm, correct to the nearest cm. From this ribbon she cuts off a piece with length 87 mm, correct to the nearest mm. Work out the lower bound and the upper bound for the length of the remaining ribbon. Give your answer in centimetres. Lower bound = … cm Upper bound = … cm [3]

3 marks

Mark scheme: 21 13.75 3 B2 for one correct answer or both correct 14.85 answers seen in working then rounded to 3sf or both correct but reversed or M1 for 2 correct seen from 23 + 0.5, 23 – 0.5, 8.7 + 0.05 or 8.7 – 0.05 or better

This question in 0580/23 May/June 2022

24 Violet and Wilfred recorded their times to run 200 m, correct to the nearest second. Violet took 36 seconds and Wilfred took 39 seconds. Work out the upper bound of the difference between their times. … s [2]

2 marks

Mark scheme: 24 4 nfww 2 M1 for 39 + 0.5 or 36 – 0.5 or better seen 39 – 0.5 or 36 + 0.5

This question in 0580/21 Oct/Nov 2022

21 A car travels 14 km, correct to the nearest kilometre. This takes 12 minutes, correct to the nearest minute. Calculate the lower bound of the speed of the car. Give your answer in kilometres per minute. … km/min [3]

3 marks

Mark scheme: 21 1.08 3 13 to14 14 − 0.5 M2 for oe or oe 12 + 0.5 12 to 13 or M1 for 14 + 0.5 oe or 14 – 0.5 oe or 12 + 0.5 oe or 12 – 0.5 oe

This question in 0580/22 Feb/March 2023

23 A train travels between two stations. The distance between the stations is 220 km, correct to the nearest kilometre. The speed of the train is 125 km/h, correct to the nearest 5 km/h. Calculate the upper bound for the time the journey takes. Give your answer in hours and minutes. … h … min [4]

4 marks

Mark scheme: 23 1h 48 min nfww 4 4 9 B3 for 1.8 [hrs], 15 [hrs], 5 [hrs] or 108 [mins] nfww 220 to 221 220  0.5 or M2 for or 125  2.5 120 to125 or M1 for 220 + 0.5 or 220 – 0.5 or 125 + 2.5 or 125 – 2.5

This question in 0580/23 May/June 2023

16 P = 2 w + 2h w = 11 and h = 9.5 , both correct to 2 significant figures. Find the lower bound and the upper bound for P. Lower bound = … Upper bound = … [3]

3 marks

Mark scheme: 16 [Lower bound =] 39.9 nfww 3 B2 for one correct [Upper bound =] 42.1 nfww or M1 for 11 + 0.5 or 9.5 + 0.05 or 11 – 0.5 or 9.5 – 0.05

This question in 0580/21 Oct/Nov 2023

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

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 24.08 cao 1 1(b) 20 cao 1

This question in 0580/22 Oct/Nov 2023

20 The area of a rectangle is 55.2 cm 2, correct to 1 decimal place. The length of the rectangle is 9 cm, correct to the nearest cm. Calculate the upper bound of the width of the rectangle. … cm [3]

3 marks

Mark scheme: 20 6.5 nfww 3 55.2 + 0.05 55.2 to 55.3 M2 for or 8 to 9 9 − 0.5 or M1 for 9 + 0.5 or 9 – 0.5 or 55.2 + 0.05 or 55.2 – 0.05

This question in 0580/22 Oct/Nov 2023

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

1 marks

Mark scheme: 6 0.046 cao 1

This question in 0580/22 May/June 2024

9 Nina walks at an average speed of 5 km/h, correct to the nearest km/h. She walks for exactly 2 hours. Work out the lower bound for the distance Nina walks. … km [2]

2 marks

Mark scheme: 9 9 2 B1 for 4.5 seen

This question in 0580/21 Oct/Nov 2025