Ordering — Paper 1 · IGCSE Mathematics 0580

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

14 = < > Choose one of the symbols given above to complete each of the following statements. When x = 6 and y = –7, then (a) x y [1] (b) x² y² [1] (c) y - x x - y [1]

3 marks

Mark scheme: 14 (a) > 1 (b) < 1 (c) < 1 [15] IGCSE – NOVEMBER 2005 0580/0581 1

This question in 0580/11 Oct/Nov 2005

12 Only two of the following five statements are correct. A 0.07077 0.07707 B 0.07077 ≠ 0.07707 C 0.07077 = 0.07707 D 0.07077 < 0.07707 E 0.07077 > 0.07707 Write down the letters which correspond to the two correct statements. Answer and [2]

2 marks

Mark scheme: 12 B (and) D 1,1 Either way round. -1 each extra letter.

This question in 0580/11 Oct/Nov 2006

2 Write the following numbers in order starting with the smallest. 2 0.283 28 % 7 Answer < < [1]

1 marks

Mark scheme: 2 28% < 0.283 < 2 1 7

This question in 0580/11 Oct/Nov 2009

5 14 17 27 17 0.294 17 From the list of numbers, write down (a) a prime number, Answer(a) [1] (b) an irrational number, Answer(b) [1] (c) the smallest number. Answer(c) [1]

3 marks

Mark scheme: 14 (a) 17 1 (b) √17 or 4.12(….) 1 (c) 0.294 1 2

This question in 0580/13 Oct/Nov 2010

4 Write the following in order of size, starting with the smallest. 9 1 1.2 115% 1 8 6 Answer I I I [2]

2 marks

Mark scheme: 4 9 1 2 M1 for all decimals (or %), allow 1 error or < 115% < 1 < 1.2 B1 for 3 in correct order 8 6 9 1 eg 115% < < 1 < 1.2 8 6 SC1 for reverse order

This question in 0580/12 Oct/Nov 2011

5 Write the following in order of size, starting with the smallest. For Examiner's 11 111 Use 0.525 52.4% 21 211 Answer I I I [2]

2 marks

Mark scheme: 5 11 111 2 M1 for conversion to decimals or %, allow 1 error , 52.4%, 0.525, 0.5238…, 0.524, 0.525, 0.526 21 211 or B1 for 3 in correct order SC1 correct but reverse order

This question in 0580/13 Oct/Nov 2011

5 I K = For Examiner's Choose one of these symbols to make each statement correct. Use (a) −15 −5 [1] (b) (−5)2 25 [1]

2 marks

Mark scheme: 5 (a) < 1 (b) = 1 750 × 2 × 8 f

This question in 0580/13 May/June 2012

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

17 For Examiner's = < > Use Write one of the three symbols between each pair of numbers. Each symbol can be used more than once. 1 (a) 30% … [1] 3 (b) –2 … –3 [1] (c) π … 10 [1] _____________________________________________________________________________________

3 marks

Mark scheme: 17 (a) < 1 (b) > 1 (c) < 1

This question in 0580/12 May/June 2013

5 Write the following in order of size, smallest fi rst. For Examiner′s Use 1 19% .0038 sin 11.4° 0.7195 5 Answer … < … < … < … < … [2] _____________________________________________________________________________________

2 marks

Mark scheme: 5 19% 0.7195 √0.038 sin 11.4 1/5 2 B1 for decimals [0.19], [0.2], 0.194…, 0.197…, 0.192… seen Or for four in correct order

This question in 0580/12 Oct/Nov 2013

4 Write the following numbers in order, starting with the smallest. 5 9 0.2 45.4% 11 20 Answer … < … < … < … [2] __________________________________________________________________________________________

2 marks

Mark scheme: 9 5 4 0.2 45.4% 2 B1 for 3 from 0.4545[…], 0.447[2….], 0.454, 20 11 0.45 or equivalent percentages seen or three in the correct order. If zero SC1 for correct but in reverse order.

This question in 0580/12 May/June 2014

1 –3°C 8°C –19°C 42°C –7°C Write down the lowest temperature from this list. Answer … °C [1] __________________________________________________________________________________________

1 marks

Mark scheme: Question Answers Mark Part Marks 1 –19 1

This question in 0580/13 May/June 2014

6 Write the following in order of size, smallest fi rst. 22 π 3.14 3.142 3 7 Answer … < … < … < … < … [2] smallest __________________________________________________________________________________________

2 marks

Mark scheme: 22 6 3 3.14 π 3.142 2 B1 for 3.141[5...] to 3.1416 7 and 3.1428 to 3.1429 or 3.143 seen or SC1 for 4 in correct order

This question in 0580/11 Oct/Nov 2014

11 Write the following in order of size, starting with the smallest. 15 17 0.41 40.4% 37 42 Answer … < … < … < … [2] __________________________________________________________________________________________

2 marks

Mark scheme: 17 1511 2 B1 for 3 in correct order or 40.4% 0.41 42 37 for 0.405 … , 0.404 and 0.4047 … or 0.4048

This question in 0580/12 Oct/Nov 2014

11 Write the following in order of size, smallest fi rst. 0.34 0.6 0.62 0.73 Answer … < … < … < … [2] smallest __________________________________________________________________________________________

2 marks

Mark scheme: 11 .0 34 7.0 3 6.0 2 6.0 2 M1 for decimal conversion: 0.7[7…] or 0.8 for 6.0 and 0.36 for 0.62 and 0.343 for 0.73 or B1 for three in the correct order

This question in 0580/13 Oct/Nov 2014

6.4 + 7.3 .18 (a) Calculate 19.56 - 3.51 Give your answer correct to 2 significant figures. Answer(a) … [2] (b) Write the following numbers in order of size, smallest first. 5 57% 0.5077 0.507 9 Answer(b) … < … < … < … [2] __________________________________________________________________________________________

4 marks

Mark scheme: 18 (a) [0].85 final answer 2 B1 for 0.853[5…] or 13.7 and 16.05 seen 5 (b) 0.507 0.5077 57% 2 M1 for 3 in the correct order 9 or B1 for [0].57 and [0].55… or 0.56

This question in 0580/13 May/June 2015

1 Write these numbers in order of size, starting with the smallest. 5.024 0.524 5.204 5.0204 Answer … < … < … < … [1] smallest __________________________________________________________________________________________

1 marks

Mark scheme: Question Answer Mark Part marks 1 0.524 < 5.0204 < 5.024 < 1 5.204

This question in 0580/11 Oct/Nov 2015

10 Write the following in order of size, starting with the smallest. 0.239 .0057 23.85% 1146 …  …  …  … [2] smallest

2 marks

Mark scheme: 11 11 10 23.85%, 0.057 , 0.239, 2 M1 for 0.057 = 0.2387… and = 0.2391…. 46 46 or for 3 in correct order 8 7 8 k k 7

This question in 0580/12 Feb/March 2016

1 Write these numbers in order of size, starting with the smallest. 0.304 0.2 0.008 0.57 … < … < … < … [1] smallest

1 marks

Mark scheme: Question Answer Mark Part marks 1 0.008 < 0.2 < 0.304 < 0.57 1

This question in 0580/12 May/June 2016

6 Write the following in order of size, smallest first. 7 18 0.33 58% 0 .59 12 31 … 1 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 76 0.33,58%, 18, ,0.59 2 B1 for 4 in correct order 31 12 or M1 for 3 of the following or better 0.583.., 0.574.., 0.58, 0.5806.. or 58.5%, 57.4%, 58.06%, 59%  12   

This question in 0580/11 Oct/Nov 2016

3 Write the correct symbol, 2 , = or 1 in each statement. 500 m … 5 km 50 mm … 0.5 cm 5000 cm … 0.05 km [2]

2 marks

Mark scheme: 3 < 2 B1 for two correct > =

This question in 0580/12 Oct/Nov 2016

7 Write these in order of size, smallest first. 0.63 0.22 .009 0.42 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 7 0.42 0.63 0.22 0.09 2 M1 for decimal conversion 0.216 and 0.3 and 0.16

This question in 0580/13 Oct/Nov 2016

10 The table shows the temperatures in five places at 10 am one day in January. Place Temperature (°C) Helsinki -7 Chicago -10 London 3 Moscow -4 Bangkok 26 (a) Which place was the coldest? … [1] (b) At 2 pm the temperature in Helsinki had increased by 4 °C. Write down the temperature in Helsinki at 2 pm. … °C [1]

2 marks

Mark scheme: 10(a) Chicago 1 10(b) −3 1

This question in 0580/11 May/June 2017

7 The daily temperature, in °C, at 3 pm in a town is shown below. Monday Tuesday Wednesday Thursday Friday Saturday Sunday 3 -2 1 2 -4 3 5 (a) Which day had the coldest temperature? … [1] (b) Work out the difference in the temperatures on Friday and Saturday. … °C [1]

2 marks

Mark scheme: 7(a) Friday 1 7(b) 7 1

This question in 0580/12 May/June 2017

113 5 -7 343 -11 0.4 2.5 3 From this list of numbers, write down (a) a cube number, … [1] (b) the smallest number, … [1] (c) a natural number. … [1]

3 marks

Mark scheme: 13(a) 343 1 13(b) –11 1 13(c) 343 1

This question in 0580/11 Oct/Nov 2017

5 (a) 0 0.1 0.2 Write down the number the arrow is pointing to on this scale. … [1] (b) Write these numbers in order of size, starting with the smallest. 0.42 0.06 0.5 0.078 … 1 … 1 … 1 … [1] smallest

2 marks

Mark scheme: 5(a) 0.16 1 5(b) 0.06 0.078 0.42 0.5 1

This question in 0580/13 Oct/Nov 2017

13 The table shows the temperature at midday in some cities on 1st February. City Temperature Berlin 6 °C Moscow –10 °C Stockholm 1 °C Toronto 0 °C Warsaw –2 °C (a) Write down the city with the lowest temperature. … [1] (b) Work out the difference between the temperature in Berlin and the temperature in Warsaw. … °C [1] (c) The temperature in Minsk was 3 °C higher than the temperature in Moscow. Work out the temperature in Minsk. … °C [1]

3 marks

Mark scheme: 13(a) Moscow 1 13(b) 8 1 13(c) –7 1

This question in 0580/13 Oct/Nov 2017

9 Write these numbers in order, starting with the smallest. -2 1 2 5 0.038 27 55 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 9 2 1 2 M1 for decimals to accuracy minimum 0.038 5–2 0.04, 0.037, 0.036 55 27 or B1 for 3 in the correct order

This question in 0580/12 May/June 2018

7 Write these numbers in order, starting with the smallest. 4 1 26% 0.24 15 4 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 7 1 4 2 B1 for three in the correct order or [0].24 26[%] M1 for .266/.27 .26 .25 seen 4 15

This question in 0580/13 May/June 2018

7 Write these in order of size, starting with the smallest. 9 3 37% 0.43 19 7 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 7 3 9 2 B1 for 3 in correct order as answer 37% 0.43 or M1 for two of 0.47... 0.42... 0.37 7 19

This question in 0580/11 Oct/Nov 2019

3 Write these numbers in order, starting with the smallest. 13 5 5.6% 0.065 201 89 … < … < … < … [2] smallest

2 marks

Mark scheme: 3 5 13 2 B1 for 3 in correct order 5.6% 0.065 or M1 for 0.0647 0.056 0.0562 seen oe 89 201

This question in 0580/11 May/June 2020

6 Write these in order of size, starting with the smallest. 11 16 41% 0.4 27 39 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 6 11 16 2 B1 for 3 in correct order or 0.4 41% M1 for [0].407…, [0].41 and 27 39 [0].410….

This question in 0580/12 Oct/Nov 2020

6 Write these numbers in order, starting with the smallest. 6 9 34% 0.345 17 25 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 6 6 9 2 M1 for [0].35… [0].34 [0].36 34% 0.345 17 25 or B1 for three in the correct order

This question in 0580/11 May/June 2022

7 The temperature, in °C, is recorded at the same time in six cities. London Helsinki Oslo Paris Madrid Berlin 6 –2 –5 7 9 2 (a) Which city has the coldest temperature? … [1] (b) What is the difference in temperature between Helsinki and Paris? … °C [1]

2 marks

Mark scheme: 7(a) Oslo 1 7(b) 9 1

This question in 0580/11 Oct/Nov 2022

7 Write these numbers in order, starting with the smallest. 15 0.071 0.7 7% 213 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 7 15 2 B1 for 3 in correct order 7% 0.071 0.7 213 15 or M1 for 0.0704… (for ) 213 and 0.07 (for 7%)

This question in 0580/11 May/June 2023

5 Write these numbers in order, starting with the smallest. 3 9 18.7% 0.19 16 50 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 5 9 3 2 B1 for 3 in the correct order 18.7[%] 0.19 or M1 for 0 .1875, 0.187 and 0 .18 50 16 or 18.75%, 18.7% and 18%

This question in 0580/12 Oct/Nov 2023

4 Write these numbers in order, starting with the smallest. 6 -1 11 8.6 # 10 86. 5% 7 13 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 4 11 6 1 2 B1 for 3 in correct order 8.6  10 86.5% or M1 for 0.857[…], 0.86, 0.846[…], 13 7 0.865 or 85.7%, 86%, 84.6%

This question in 0580/12 May/June 2024

6 Write these numbers in order, starting with the smallest. 4 2 0.45 42% 11 5 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 6 4 2 2 B1 for 3 in correct order 42% 0.45 or M1 for 3 equivalent decimals ..., 0.42, 11 5 0.36, 0.4,

This question in 0580/13 May/June 2024

8 Write these numbers in order, starting with the smallest. 34% r 1 3 3 3 10 … 1 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 8 3 1 2 B1 for 4 in the correct order 34% 3 π or M1 for decimal equivalents to compare 10 3 numbers 0.34, 3.1..,0.33, [3], 0.3

This question in 0580/12 Feb/March 2025

19 (a) n is an odd number. Write down the values of n that satisfy 7 1 n G 15 . … [2] (b) x –1 0 1 2 3 4 5 6 7 8 9 Pip thinks -1 1 x 1 8 is the inequality represented on the number line. Complete the statement. Pip’s inequality is not correct because … … [1]

3 marks

Mark scheme: 19(a) 9 11 13 15 final answer 2 B1 for 3 correct and no errors or for 4 correct and one extra 19(b) Pip needed to use two ⩽ signs oe 1

This question in 0580/12 Feb/March 2025

9 Write these fractions in order, starting with the smallest. 5 11 2 3 13 8 12 3 4 24 … 1 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 9 13 5 2 3 11 2 B1 for 4 fractions in the correct order or 24 8 3 4 12 M1 for 3 fractions correctly changed to have the same denominator, 24k or for 3 correct decimal equivalents

This question in 0580/12 May/June 2025

16 .9857 # 10 -2 .35 # 102 1.54 # 10 1 6.5 # 10 -2 Write these numbers in order, starting with the smallest. … < … < … < … [2] smallest

2 marks

Mark scheme: 16 6.5 × 10–2, 9.857 × 10-2, 1.54 × 101, 2 B1 for 3 in the correct order 3.5 × 102 or M1 for 0.09857, 350, 15.4, 0.065 oe

This question in 0580/12 Oct/Nov 2025