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Year 6 fractions of amounts worksheets

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Year 6 · Fractions of amounts

Finding fractions of amounts

1)of500=
2)of408=
3)of215=
4)of288=
5)of154=
6)of205=
7)of480=
8)of65=
9)of161=
10)of378=
11)of405=
12)of171=
13)of300=
14)of80=
15)of400=
16)of48=
17)of160=
18)of266=
19)of240=
20)of264=
ticked. · free UK primary worksheetsSheet #00037

Answer key

For marking

Year 6 · Fractions of amounts · Finding fractions of amounts

1)of500=150
2)of408=34
3)of215=43
4)of288=120
5)of154=110
6)of205=41
7)of480=440
8)of65=13
9)of161=23
10)of378=84
11)of405=225
12)of171=152
13)of300=90
14)of80=50
15)of400=120
16)of48=12
17)of160=32
18)of266=190
19)of240=48
20)of264=44
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What Year 6 fractions of amounts covers

By Year 6 the fractions are familiar and the amounts are large — for example 7/12 of 600 or 4/7 of 294. That is the step: dividing by the denominator is no longer a mental jump, so children use short division for the first part and multiply for the second. The national curriculum meets this skill under unequal sharing and grouping, splitting a quantity into parts that are not equal using fractions and multiples — the thinking behind most SATs reasoning questions. Every amount divides exactly, so the answer is always a whole number and the focus stays on the method. Every sheet is A4, print-ready, and comes with an answer key.

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Questions parents ask

How is Year 6 fractions of amounts harder than Year 5?

The fractions are the same — thirds up to twelfths — but the amounts are much larger, running into the hundreds rather than stopping under 200. That changes the work: 2/9 of 306 or 4/7 of 294 cannot be divided in your head, so children use short division for the first step and multiplication for the second. It is the same method under a bigger load, which is exactly the Year 6 step.

What is "unequal sharing", and why does it matter in Year 6?

It is the Year 6 framing for these questions, and it comes from the ratio and proportion part of the curriculum: splitting an amount into parts that are not equal, using fractions and multiples. If 3/8 of a 240-gram bag is flour, the rest is not — you find one share (240 ÷ 8 = 30), then take as many shares as you need. SATs reasoning questions are usually worded this way rather than written as "3/8 of 240", so being fluent with the bare calculation first is what makes the worded version readable.

Are the answers included?

Yes. Keep 'Answers' ticked and a separate answer-key page is made with every sheet, so marking takes seconds. Every answer is computed exactly and checked.

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