How do you find a fraction of a quantity?

Multiply, for example 5/8 of 240 pages is 240 × 5/8.

What should you watch for when asked what is left?

Decide whether the part used or the part left is wanted, then subtract the fraction from 1.

P5 maths fraction multiplication paper 3 (challenge): word problems

2026-11-10

Book, water tank and farmland settings practise fraction multiplication, with care over the part used and the part left.

Direct answers　Paper three is word problems; note that a fraction of something means multiply, then calculate.

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: P5 Maths Multiplying Fractions
Level	P5

02　Questions (10 items)

FoundationWork out 5/6 × 12.
FoundationWork out 3/4 × 16.
FoundationWork out 2/7 × 21.
IntermediateWork out 1 1/4 × 2 2/5.
IntermediateWork out 2 2/9 × 1 4/5.
IntermediateWork out 4/5 × 3/8 × 10/9.
ChallengeA book has 240 pages and Ming has read 5/8 of it. How many pages are left?
ChallengeA tank holds 12 1/2 L and is 4/5 full. How much water is in it?
ChallengeA plot has an area of 3/4 hectare and 2/3 of it is used for vegetables. What area is used?
Error redoOf 240 pages with 5/8 read, a pupil answered 150 pages left. What is the correct number left?

03　Answers and one-line notes

#	Answer	One-line note
1	10	Cancel 12 with 6 to leave 2, and 5 × 2 is 10.
2	12	Cancel 16 with 4 to leave 4, and 3 × 4 is 12.
3	6	Cancel 21 with 7 to leave 3, and 2 × 3 is 6.
4	3	They become 5/4 and 12/5, and 60/20 is 3.
5	4	They become 20/9 and 9/5, and 180/45 is 4.
6	1/3	Cancel across the three fractions: 4 with 8, 5 with 10 and 3 with 9, leaving 1/3.
7	90 pages	240 × 5/8 = 150 pages read, so 240 minus 150 leaves 90 pages.
8	10 L	25/2 × 4/5 = 10, so there are 10 litres.
9	1/2 hectare	3/4 × 2/3 = 6/12, which is 1/2 hectare.
10	90 pages	150 pages is the part already read, so what is left is 240 minus 150, that is 90 pages.

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.

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Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.