TopicalMathematics 0580NumberOrderingPaper 2

Ordering — Paper 2 · IGCSE Mathematics 0580

E1.5· 17 questions · 35 marks · 42 min · 2009–2025· Structured questions

Every Cambridge IGCSE Mathematics Paper 2 question on ordering, laid out as 5 A4 pages with the mark scheme below. Nothing is left out. Free to read, no account.

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Questions5 pages

Question 1: Write the following in order of size, smallest first. _1 9 5  4  72%   17 7  3  Answer < < < [2]Question 2: Write the numbers in order of size with the smallest first. Examiner's Use 22 10 3.14 π 7 Answer < < < [2]Question 3: Write the following in order of size, smallest first. 2 3 2 − 3 3 2 − 3 2 Answer < < < [2]Question 4: During one week in April, in Quebec, the daily minimum temperatures were Examiner's Use –5°C, –1°C, 3°C, 2°C, –2°C, 0°C, 6°C. Write down (a…1 / 5
Question 5: 2 23 48% 4.80 11 Write the numbers in order of size with the largest first. Answer K= K K [2]Question 6: Write the following in order of size, smallest first. 20 80 0.492 4.93% 41 161 Answer I I I [2]Question 7: Write the following in order of size, smallest first. 8 0.47 0.22 tan 25° 17 Answer < < < [2]Question 8: For this question, 1 < x < 2 . Write the following in order of size, smallest first. 5 x 5x x O 5 x 5 Answer < < < [2]2 / 5
Question 9: Write the following in order of size, smallest fi rst. 2 2 3 2 2 1.5 2 -1.5 3 - .15 ^ h c 3 m c 3 m c 3 m Answer ................... < .....…Question 10: Write the following in order of size, smallest fi rst. 0.52 0.5 0.53 3 0.5 Answer .................. < .................. < ................…Question 11: Write the following in order of size, smallest fi rst. 22 π 3.14 3.142 3 7 Answer ..................... < ..................... < ..........…Question 12: Write the following in order of size, smallest fi rst. 0.34 0.6 0.62 0.73 Answer ..................... < ..................... < ...........…3 / 5
Question 13: Write these in order of size, smallest first. 0.63 0.22 .009 0.42 .......................... 1 ......................... 1 ................…Question 14: 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…Question 15: 2 5 -7 343 -11 0.4 2.5 3 From this list of numbers, write down (a) a cube number, ................................................... [1] (…4 / 5
Question 16: -1 249 .21 # 10 .02o 22% .02 1000 Write these values in order of size, starting with the smallest. ........................ 1 .............…Question 17: Write these lengths in order of size, starting with the smallest. 0.03 m 2.9 cm 32 mm 0.000 02 km .............................. , ........…5 / 5

Mark scheme17 answers

Answers below. Sit the paper first if you are practising.

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Mathematics 0580 · Ordering — Paper 2

IGCSE · topical answer key — answer key (teacher use)

Question

Answer

Marks

1Mark scheme for question 12
2Mark scheme for question 22
3Mark scheme for question 32
4Mark scheme for question 42
5Mark scheme for question 52
6Mark scheme for question 62
7Mark scheme for question 72
8Mark scheme for question 82
9Mark scheme for question 92
10Mark scheme for question 102
11Mark scheme for question 112
12Mark scheme for question 122
13Mark scheme for question 132
14Mark scheme for question 142
15Mark scheme for question 153
16Mark scheme for question 162
17Mark scheme for question 172
QuestionAnswerMarksFrom
1see sheet20580/21 May/June 2009
2see sheet20580/21 May/June 2010
3see sheet20580/22 May/June 2010
4see sheet20580/23 May/June 2010
5see sheet20580/23 May/June 2010
6see sheet20580/23 Oct/Nov 2010
7see sheet20580/21 May/June 2012
8see sheet20580/22 May/June 2012
9see sheet20580/23 May/June 2013
10see sheet20580/21 May/June 2014
11see sheet20580/21 Oct/Nov 2014
12see sheet20580/23 Oct/Nov 2014
13see sheet20580/23 Oct/Nov 2016
14see sheet20580/21 May/June 2017
15see sheet30580/21 Oct/Nov 2017
16see sheet20580/22 Oct/Nov 2021
17see sheet20580/22 Feb/March 2025

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Questions as text

Q1 · Write the following in order of size, smallest first 0580/21 May/June 2009

2 Write the following in order of size, smallest first. _1 9 5  4  72%   17 7  3  Answer < < < [2]

2 marks

Mark scheme: 2 −1 2 M1 correct decimals 5 9  4  72%   0.727(6… ) 0.71(4… ) 0.72 0.75 7 17  3 

This question in 0580/21 May/June 2009

Q2 · Write the numbers in order of size with the smallest first 0580/21 May/June 2010

1 Write the numbers in order of size with the smallest first. Examiner's Use 22 10 3.14 π 7 Answer < < < [2]

2 marks

Mark scheme: Qu. Answers Mark Part Marks 2222 1 3.14 π √10√ 2 M1 3.1428(…) and 3.16(2…) seen 7 600

This question in 0580/21 May/June 2010

Q3 · Write the following in order of size, smallest first 0580/22 May/June 2010

3 Write the following in order of size, smallest first. 2 3 2 − 3 3 2 − 3 2 Answer < < < [2]

2 marks

Mark scheme: 3 2 3 2 – 3 , 2 – , , 3 2 M1 correct decimals seen 2 3 15a + 32

This question in 0580/22 May/June 2010

Q4 · During one week in April, in Quebec, the daily minimum temperatures were Examiner's Use… 0580/23 May/June 2010

1 During one week in April, in Quebec, the daily minimum temperatures were Examiner's Use –5°C, –1°C, 3°C, 2°C, –2°C, 0°C, 6°C. Write down (a) the lowest of these temperatures, Answer(a) °C [1] (b) the range of these temperatures. Answer(b) °C [1]

2 marks

Mark scheme: Qu. Answers Mark Part Marks 1 (a) –5 1 (b) 11 1 53

This question in 0580/23 May/June 2010

Q5 · 2 23 48% 4.80 11 Write the numbers in order of size with the largest first 0580/23 May/June 2010

53 2 23 48% 4.80 11 Write the numbers in order of size with the largest first. Answer K= K K [2]

2 marks

Mark scheme: 53 2 > .480 > 23 > 48 % 2 M1 for decimals seen 11 4.7958… 0.48 (4.80) 4.81(…)

This question in 0580/23 May/June 2010

Q6 · Write the following in order of size, smallest first 0580/23 Oct/Nov 2010

6 Write the following in order of size, smallest first. 20 80 0.492 4.93% 41 161 Answer I I I [2]

2 marks

Mark scheme: 20 80 6 4.93% < < 0.492 < 2 Allow decimal equivalents in answer space 41 161 M1 decimals 0.48(78..), 0.496(8..), 0.0493

This question in 0580/23 Oct/Nov 2010

Q7 · Write the following in order of size, smallest first 0580/21 May/June 2012

4 Write the following in order of size, smallest first. 8 0.47 0.22 tan 25° 17 Answer < < < [2]

2 marks

Mark scheme: 8 4 tan 25 < 0.22 < 0.47 < 2 M1 correct conversion to decimals 0.466, 0.469, 0.471 17 x

This question in 0580/21 May/June 2012

Q8 · For this question, 1 < x < 2 0580/22 May/June 2012

3 For this question, 1 < x < 2 . Write the following in order of size, smallest first. 5 x 5x x O 5 x 5 Answer < < < [2]

2 marks

Mark scheme: x 5 3 x – 5 5x 2 M1 evaluating all 4 expressions for one value in 5 x the range. (1 and 2 are out of range)

This question in 0580/22 May/June 2012

Q9 · Write the following in order of size, smallest fi rst 0580/23 May/June 2013

5 Write the following in order of size, smallest fi rst. 2 2 3 2 2 1.5 2 -1.5 3 - .15 ^ h c 3 m c 3 m c 3 m Answer … < … < … < … [2] _____________________________________________________________________________________

2 marks

Mark scheme:  2  2  3 2  2  2 M1 for at least 2 correct decimals seen5   −  (5.1 )3    3   3   3  1.3[1..] 0.5[4..] 1.8[3..] or 1.84 0.7[6..] 288π

This question in 0580/23 May/June 2013

Q10 · Write the following in order of size, smallest fi rst 0580/21 May/June 2014

5 Write the following in order of size, smallest fi rst. 0.52 0.5 0.53 3 0.5 Answer … < … < … < … [2] __________________________________________________________________________________________

2 marks

Mark scheme: 5 0.53 0.52 0.5 3 5.0 2 B1 for 0.25 , 0.125 and 0.793… seen or for three in correct order

This question in 0580/21 May/June 2014

Q11 · Write the following in order of size, smallest fi rst 0580/21 Oct/Nov 2014

2 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 2 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 0580/21 Oct/Nov 2014

Q12 · Write the following in order of size, smallest fi rst 0580/23 Oct/Nov 2014

2 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: 2 .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 0580/23 Oct/Nov 2014

Q13 · Write these in order of size, smallest first 0580/23 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 0580/23 Oct/Nov 2016

Q14 · The table shows the temperatures in five places at 10 am one day in January 0580/21 May/June 2017

4 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: 4(a) Chicago 1 4(b) − 3 1

This question in 0580/21 May/June 2017

Q15 · 2 5 -7 343 -11 0.4 2.5 3 From this list of numbers, write down (a) a cube number, … [1]… 0580/21 Oct/Nov 2017

112 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: 12(a) 343 1 12(b) –11 1 12(c) 343 1

This question in 0580/21 Oct/Nov 2017

Q16 · -1 249 .21 # 10 .02o 22% .02 1000 Write these values in order of size, starting with the… 0580/22 Oct/Nov 2021

-1 249 .21 # 10 .02o 22% .02 1000 Write these values in order of size, starting with the smallest. … 1 … 1 … 1 … 1 … [2] smallest

2 marks

Mark scheme: 9 24 2 M1 for four values in the correct order < 2.1 × 10–1 < 22% < 0.2 < 0.2 1000 or for conversion to consistent comparable form e.g. 0.21, 0.22…, 0.22, 0.4.., 0.024

This question in 0580/22 Oct/Nov 2021

Q17 · Write these lengths in order of size, starting with the smallest 0580/22 Feb/March 2025

5 Write these lengths in order of size, starting with the smallest. 0.03 m 2.9 cm 32 mm 0.000 02 km … , … , … , … [2] smallest

2 marks

Mark scheme: 5 0.00002 km, 2.9 cm, 0.03 m, 32 mm 2 B1 for three in correct order or M1 for lengths all converted correctly to a consistent unit to enable comparison

This question in 0580/22 Feb/March 2025