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Primary Maths: Fractions, Decimals and Percentages (Paper 3 (challenge))

Primary Maths: Fractions, Decimals and Percentages (Paper 3 (challenge))

  • 2026-11-14

Primary Maths: Fractions, Decimals and Percentages (Paper 3 (challenge))

This paper practises reverse problems, mixed operations and percentage increase.

Direct answers Always check by multiplying the answer back by the percentage.

01 Paper details (check answers afterwards)

Item Detail
Questions 10
Suggested time 20
Difficulty mix Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter Chapter: Primary Maths: Fractions, Decimals and Percentages
Level P5

02 Questions (10 items)

  1. FoundationWrite 0.65 as a fraction in simplest form.
  2. Foundation32 is what percentage of 80?
  3. FoundationConvert one and three quarters to a decimal and a percentage.
  4. IntermediateWhat is 35% of 480 dollars?
  5. IntermediateAn item sells for 90 dollars, which is 75% of its original price. What is the original price?
  6. IntermediateWork out 0.375 plus 25%, as a decimal and as a fraction.
  7. ChallengeConvert one sixth to a percentage, correct to one decimal place.
  8. ChallengeArrange two thirds, 0.65 and 66% from smallest to largest.
  9. ChallengeA quantity rises from 45 to 54. What is the percentage increase?
  10. Error redoA student writes three eighths as 0.38. What is the correct decimal?

03 Answers and one-line notes

# Answer One-line note
1 13/20 0.65 is 65 over 100, and dividing both by 5 gives 13 over 20.
2 40% 32 divided by 80 is 0.4, which is 40%.
3 1.75 and 175% Three quarters is 0.75, plus one gives 1.75, which is 175%.
4 168 dollars 480 times 0.35 is 168.
5 120 dollars 90 divided by 0.75 is 120, and 120 times 0.75 is 90.
6 0.625 and 5/8 25% is 0.25, so 0.375 plus 0.25 is 0.625, which is 5 over 8.
7 16.7% One divided by six is 0.1666…, which is 16.7 to one decimal place.
8 0.65, 66%, two thirds As decimals they are 0.65, 0.66 and 0.6667.
9 20% The rise is 9, and 9 divided by 45 is 0.2, that is 20%.
10 0.375 The error is copying the digits; three divided by eight is 0.375.

04 What to do after marking

  • After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
  • Repeat the same item two days later; move to the next paper only when both attempts are correct.
  • Parents only need the answer and note columns; there is no need to explain every item.

Three steps: make the denominator ten or a hundred, divide to a decimal, then multiply by a hundred for a percentage; always convert to one form before comparing or ordering.Tutor Registration →

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