Units of measure — Paper 1 · IGCSE Mathematics 0580

3 Write down the number of square centimetres in one square metre. Answer [1]

1 marks

Mark scheme: 3 10000 or 1 x 104 oe. 1

This question in 0580/11 May/June 2006

7 (a) Change 56.1 metres into kilometres. Answer(a) km [1] (b) Change 15.3 metres into millimetres. Answer(b) mm [1]

2 marks

Mark scheme: 7 (a) 0.0561 1 (Answers may be in standard form) (b) 15300 1

This question in 0580/11 Oct/Nov 2006

18 (a) Calculate the volume of a cylinder of radius 50 cm and height 138 cm. For Examiner's Use Answer(a) cm3 [2] (b) Write your answer to part (a) in cubic metres. Answer(b) m3 [1]

3 marks

Mark scheme: 18 (a) 1083300 to 1084000 or 2 M1 for π × 50 2 × 138 or π × 0.52 × 1.38 1080000 or 1083000 Final answer (b) Their (a) ÷ 10 6 evaluated 1ft

This question in 0580/11 Oct/Nov 2008

14 Examiner's Use 1.75 cm NOT TO SCALE 2.3 cm 4 cm The cuboid above has length 4 cm, width 2.3 cm and height 1.75 cm. Calculate the volume of the cuboid (a) in cubic centimetres, Answer(a) cm3 [2] (b) in cubic millimetres. Answer(b) mm3 [1]

3 marks

Mark scheme: 14 (a) 16.1 2 M1 for 4 × 2.3 × 1.75, or better (b) 16100 1ft 1000 × their (a) IGCSE – May/June 2010 0580 13

This question in 0580/13 May/June 2010

18 For Examiner's Use NOT TO SCALE 44 cm 35 cm A cylindrical tank, with radius 35 cm, is filled with water to a depth of 44 cm. (a) Calculate the area of the base of the tank. Answer(a) cm2 [2] (b) Calculate the volume of water in the tank. Answer(b) cm3 [1] (c) Change your answer to part (b) into litres. Answer(c) litres [1]

4 marks

Mark scheme: 18 (a) 3846 to 3849 or 3850 2 M1 for π × 352 or SC1 correct volume answer (b) 169224 to 169356 1ft ft their (a) × 44 or 169400 or 169000 (c) 169.2 to 169.4 or 169 1ft ft their (b) ÷ 1000 IGCSE – October/November 2010 0580 11 4 5 4 14

This question in 0580/11 Oct/Nov 2010

8 A circle has a radius of 50 cm. (a) Calculate the area of the circle in cm2. Answer(a) cm2 [2] (b) Write your answer to part (a) in m2. Answer(b) m2 [1]

3 marks

Mark scheme: 8 (a) 7853 to 7855 2 M1 for π × 502 or 7850 or 7860 www (b) 0.7853 to 0.7855 or 0.785 or 0.786 1ft Their (a) ÷ 10 000 evaluated

This question in 0580/11 Oct/Nov 2011

2 Change 5.2 square metres into square centimetres. Answer cm2 [1]

1 marks

Mark scheme: 2 52 000 1

This question in 0580/13 May/June 2012

1 2 Write down the number of centimetres in 2 2 metres. Answer … cm [1] _____________________________________________________________________________________

1 marks

Mark scheme: 2 250 1

This question in 0580/11 Oct/Nov 2013

2 Change 6450 cm into metres. Answer … m [1] __________________________________________________________________________________________

1 marks

Mark scheme: 2 64.5[0] 1

This question in 0580/13 May/June 2014

22 (a) O O is the centre of the circle. Measure the diameter of this circle. Give your answer in millimetres. Answer(a) … mm [1] (b) A circular dinner plate has radius 12.7 cm. Work out the area of the plate. Answer(b) … cm2 [2]

3 marks

Mark scheme: 22 (a) 44 to 48 1 (b) 507 or 506.7 to 506.8 2 M1 for π×12.72

This question in 0580/12 Oct/Nov 2015

2 Measure the length of this line in centimetres. Answer … cm [1] __________________________________________________________________________________________

1 marks

Mark scheme: 2 6.7 1

This question in 0580/13 Oct/Nov 2015

5 Change 60 000 metres to kilometres. … km [1]

1 marks

Mark scheme: 5 60 1

This question in 0580/11 May/June 2016

20 The diagram shows triangle ABC. A C B (a) Using a straight edge and compasses only, construct the bisector of angle ABC. [2] (b) Draw the locus of points inside the triangle that are 3 cm from AC. [1]

3 marks

Mark scheme: 20 (a) Bisector of angle B accurate with 2 B1 for accurate line with no/wrong arcs two pairs of correct arcs or for correct arcs with no/wrong line (b) Ruled line parallel to AC at a 1 distance of 3 cm to AC only inside the triangle

This question in 0580/12 May/June 2016

12 (a) Change 0.183 metres to centimetres. … cm [1] (b) Change 12 800 square millimetres to square centimetres. … cm2 [1]

2 marks

Mark scheme: 12 (a) 18.3 1 (b) 128 1

This question in 0580/13 Oct/Nov 2016

5 Change 6200 cm2 into m2. … m2 [1]

1 marks

Mark scheme: 5 [0].62 1

This question in 0580/12 May/June 2017

17 AB is a straight line. A B (a) Measure the length of AB. … cm [1] (b) Mark the midpoint of AB. [1] (c) Draw a line perpendicular to AB. [1]

3 marks

Mark scheme: 17(a) 9 1 17(b) Midpoint marked 1 17(c) Perpendicular line drawn 1

This question in 0580/12 Oct/Nov 2017

9 (a) Change 6.54 kilometres into metres. … m [1] (b) Change 7850 cm3 into litres. … litres [1]

2 marks

Mark scheme: 9(a) 6540 1 9(b) 7.85[0] 1

This question in 0580/11 May/June 2018

20 A cylindrical glass has radius 3.6 cm and height 11 cm. It is filled with water. (a) Calculate, in cubic centimetres, the volume of water it contains. … cm3 [2] (b) Write your answer to part (a) in litres. … litres [1]

3 marks

Mark scheme: 20(a) 448 or 447.85 to 447.95 2 M1 for π × 3.62 × 11 20(b) [0].448 or [ 0].44785 to [0].44795 1 FT their (a) ÷ 1000

This question in 0580/12 May/June 2018

5 (a) O Measure the radius of the circle, centre O. Give your answer in centimetres. … cm [1] (b) Write down the mathematical name of this polygon. … [1]

2 marks

Mark scheme: 5(a) 3.7 1 5(b) [Regular] hexagon 1

This question in 0580/11 Oct/Nov 2018

1 Measure the length of this line in centimetres. … cm [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 7.4 1

This question in 0580/13 Oct/Nov 2018

15 (a) Change 645 mm into cm. … cm [1] (b) Change 4.1 m3 into cm3. … cm3 [1]

2 marks

Mark scheme: 15(a) 64.5 1 15(b) 4 100 000 oe 1

This question in 0580/12 Feb/March 2019

2 Change 4365 metres into centimetres. … cm [1]

1 marks

Mark scheme: 2 436 500 1

This question in 0580/12 May/June 2019

1 Change 4.6 metres to centimetres. … cm [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 460 1

This question in 0580/11 Oct/Nov 2019

10 Complete the statements. 3.5 kg = … g 1.4 m2 = … cm2 [2]

2 marks

Mark scheme: 10 3500 2 B1 for each 14 000

This question in 0580/12 Oct/Nov 2019

2 Change 560 metres into kilometres. … km [1]

1 marks

Mark scheme: 2 [0].56[0] 1

This question in 0580/13 Oct/Nov 2019

2 A B (a) Measure the length of the line AB in millimetres. … mm [1] (b) AB is the diameter of a circle. Draw this circle. [2]

3 marks

Mark scheme: 2(a) 94 1 2(b) Correct circle drawn 2 B1 for centre of AB marked

This question in 0580/12 Feb/March 2020

7 Change 5.3 kilometres into metres. … m [1]

1 marks

Mark scheme: 7 5300 1

This question in 0580/12 May/June 2020

15 Change 4.37 litres into cubic centimetres. … cm3 [1]

1 marks

Mark scheme: 15 4370 1

This question in 0580/11 Oct/Nov 2020

14 Change 680 000 cm3 into m3. … m3 [1]

1 marks

Mark scheme: 14 [0].68 1

This question in 0580/11 May/June 2021

18 (a) Calculate the volume of a cylindrical vase with radius 14.2 cm and height 18 cm. … cm3 [2] (b) Change your answer to part (a) into litres. … litres [1]

3 marks

Mark scheme: 18(a) 11 400 or 11 400 to 11 404 2 M1 for π × 14.22 × 18 oe 18(b) 11.4 or 11.4 to 11.40… 1 FT their (a) ÷ 1000

This question in 0580/13 May/June 2021

9 Change 0.3 metres into centimetres. … cm [1]

1 marks

Mark scheme: 9 30 1

This question in 0580/12 Oct/Nov 2021

5 Change 0.56 kilometres into metres. … m [1]

1 marks

Mark scheme: 5 560 1

This question in 0580/11 May/June 2022

2 B A (a) Measure the length of the line AB in millimetres. … mm [1] (b) Mark the midpoint, M, of the line AB. [1] (c) Draw a line through M that is perpendicular to the line AB. [1]

3 marks

Mark scheme: 2(a) 86 1 2(b) Point marked at 4.3 cm from A 1 2(c) Ruled line through M perpendicular to 1 AB

This question in 0580/13 May/June 2022

3 (a) Measure the length of this line in millimetres. … mm [1] (b) Draw a line perpendicular to this line. [1]

2 marks

Mark scheme: 3(a) 77 1 3(b) Ruled perpendicular line 1 meeting the given line

This question in 0580/11 Oct/Nov 2022

2 B A (a) Draw a line perpendicular to the line AB. [1] (b) Measure the line AB in centimetres. … cm [1]

2 marks

Mark scheme: 2(a) Accurate ruled perpendicular line 1 2(b) 7.4 1

This question in 0580/12 May/June 2023

10 Change 62 000 millimetres into kilometres. … km [1]

1 marks

Mark scheme: 10 0.062 1

This question in 0580/12 Oct/Nov 2023

2 A B Measure the length of line AB in millimetres. … mm [1]

1 marks

Mark scheme: 2 107 1

This question in 0580/11 May/June 2024

2 C B x A (a) Measure the size of angle x. … [1] (b) Measure the length of line AB in millimetres. … mm [1] (c) Mark the midpoint, M, of line AB. [1] (d) Draw a line through the point M that is perpendicular to line AB. [1]

4 marks

Mark scheme: 2(a) 46° 1 2(b) 84 1 2(c) Mid-point marked 42 mm along AB from A. 1 2(d) Line at 90° to AB at M. 1 FT their mid-point

This question in 0580/12 May/June 2024

2 Change 6.7 kilometres to metres. … m [1]

1 marks

Mark scheme: 2 6700 1

This question in 0580/11 Oct/Nov 2024

13 Convert 8 litres into cm3. … cm3 [1]

1 marks

Mark scheme: 13 8000 1

This question in 0580/12 Feb/March 2025

4 The diagram shows a line AB and a point P. A P B (a) Measure the length of line AB in millimetres. … mm [1] (b) Draw a line through point P that is perpendicular to line AB. [1]

2 marks

Mark scheme: 4(a) 83 1 4(b) ruled perpendicular line through P 1

This question in 0580/12 May/June 2025

8 The diagram shows two faces of a net of a cuboid on a 1 cm 2 grid. (a) Complete the statement. The dimensions of the cuboid are … cm by … cm by … cm. [1] (b) On the grid, complete a net of the cuboid. [3] (c) Work out the volume of the cuboid. … cm3 [2]

6 marks

Mark scheme: 8(a) 3, 3, 5 1 8(b) Fully correct net 3 B2 for 2 correct extra faces in correct places or B1 for 1 correct extra face in correct place 8(c) 45 2 FT their dimensions from (a) M1 for 3 × 3 × 5 oe

This question in 0580/13 May/June 2025

1 A B (a) Measure the length of line AB in centimetres. … cm [1] (b) Draw a line that is parallel to line AB. [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 5.6 1 1(b) Ruled line parallel to AB 1

This question in 0580/13 Oct/Nov 2025

15 Complete each statement. (a) 0.0000047 m 2 = … cm2. [1] (b) 8500 cm 3 = … litres. [1]

2 marks

Mark scheme: 15(a) 0.047 1 15(b) 8.5 1

This question in 0580/13 Oct/Nov 2025