IGCSE Maths 0580 Ordering Numbers Past Paper Questions and Worked Solutions

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IGCSE Maths (0580) · Number · 1.5

Every ordering numbers question from 5 Cambridge IGCSE Mathematics (0580) past papers (May/June 2025 to May/June 2026), syllabus section 1.5. 6 questions covering Core and Extended tiers, ordered from Core to Extended. Each question is labelled with its question paper code (for example 0580/31/M/J/26) and every final answer matches the official Cambridge mark scheme. Try each question first, then click “Show solution” to check your working. This page is part of our IGCSE Maths 0580 Number past paper questions.

0580 Ordering Numbers past paper questions: Core (Papers 1 and 3)

12 marksCore

May/June 2026 · Paper 3 · 0580/31/M/J/26 · Q6

Write these numbers in order, starting with the smallest: ∛0.1, 45%, 0.443, 4⁄9

Show solution
  1. Change every number to a decimal so you can compare them.
  2. ∛0.1 = 0.4641…, 45% = 0.45, 0.443 stays as it is, 4⁄9 = 0.4444…
  3. Compare: 0.443 < 0.4444… < 0.45 < 0.4641…
  4. 0.443 < 4⁄9 < 45% < ∛0.1
Answer 0.443 < 4⁄9 < 45% < ∛0.1
22 marksCore

May/June 2026 · Paper 3 · 0580/31/M/J/26 · Q12

Write one of the symbols <, > or = in each statement to make it correct: 5⁄8 … 62.5%; 0.2² … 0.4; 2⁄3 … 0.67

Show solution
  1. Change both sides of each statement into decimals and compare.
  2. 5⁄8 = 5 ÷ 8 = 0.625, and 62.5% = 0.625. They are equal: =
  3. 0.2² = 0.2 × 0.2 = 0.04, which is smaller than 0.4: <
  4. 2⁄3 = 0.6666…, which is smaller than 0.67: <
Answer = <
32 marksCore

May/June 2026 · Paper 3 · 0580/33/M/J/26 · Q6

Write these numbers in order, starting with the smallest: 0.581, ∛0.2, 32⁄55, π⁄5, 58%

Show solution
  1. Change every number to a decimal so you can compare them.
  2. 0.581 stays as it is. ∛0.2 = 0.5848… 32⁄55 = 32 ÷ 55 = 0.5818… π⁄5 = 0.6283… 58% = 0.58.
  3. Compare: 0.58 < 0.581 < 0.5818… < 0.5848… < 0.6283…
  4. 58% < 0.581 < 32⁄55 < ∛0.2 < π⁄5
Answer 58% < 0.581 < 32⁄55 < ∛0.2 < π⁄5
42 marksCore

Oct/Nov 2025 · Paper 3 · 0580/32/O/N/25 · Q3

Write one of the symbols <, > or = in each statement to make it correct: 2⁄3 … 0.667; 1⁄8 … 12.5%; 7⁄8 … 71⁄80

Show solution
  1. Change both sides of each statement to decimals and compare.
  2. 2⁄3 = 0.6666…, which is smaller than 0.667: <
  3. 1⁄8 = 1 ÷ 8 = 0.125 = 12.5%: =
  4. Use a common denominator of 80: 7⁄8 = 70⁄80, which is smaller than 71⁄80: <
Answer < =
52 marksCore

May/June 2025 · Paper 1 · 0580/12/M/J/25 · Q9

Write these fractions in order, starting with the smallest. 5⁄8, 11⁄12, 2⁄3, 3⁄4, 13⁄24

Show solution
  1. Find a common denominator. 8, 12, 3, 4 and 24 all divide into 24.
  2. 5⁄8 = 15⁄24, 11⁄12 = 22⁄24, 2⁄3 = 16⁄24, 3⁄4 = 18⁄24, and 13⁄24 stays the same.
  3. Now order by the numerators: 13, 15, 16, 18, 22.
  4. 13⁄24 < 5⁄8 < 2⁄3 < 3⁄4 < 11⁄12
Answer 13⁄24 < 5⁄8 < 2⁄3 < 3⁄4 < 11⁄12

0580 Ordering Numbers past paper questions: Extended (Papers 2 and 4)

62 marksExtended

Oct/Nov 2025 · Paper 4 · 0580/43/O/N/25 · Q8

m is a positive integer. Write these values in order of size, starting with the smallest: m, 33% of m, 1⁄3 of m, 320% of m⁄10.

Show solution
  1. Write each value as a decimal multiple of m.
  2. 33% of m = 0.33m.
  3. 1⁄3 of m = 0.333…m.
  4. 320% of m⁄10 = 3.2 × 0.1m = 0.32m.
  5. m = 1m.
  6. Order: 0.32m < 0.33m < 0.333…m < 1m.
  7. 320% of m⁄10, 33% of m, 1⁄3 of m, m
Answer 320% of m⁄10, 33% of m, 1⁄3 of m, m

Question papers used on this page

All ordering numbers questions above, listed by 0580 question paper code.

QP codeFile namePaperQuestions
0580/31/M/J/260580_s26_qp_31May/June 2026 · Paper 3 (Core)Q6, Q12
0580/33/M/J/260580_s26_qp_33May/June 2026 · Paper 3 (Core)Q6
0580/32/O/N/250580_w25_qp_32Oct/Nov 2025 · Paper 3 (Core)Q3
0580/43/O/N/250580_w25_qp_43Oct/Nov 2025 · Paper 4 (Extended)Q8
0580/12/M/J/250580_s25_qp_12May/June 2025 · Paper 1 (Core)Q9

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