Multiplying and Dividing Fractions KS2

Year 6 maths worksheets on multiplying and dividing fractions: 36 questions in three levels (All, Most, Some) with answers. Free PDF.

7-page A4 PDF from the Tiger Shark Education question bank. All: Multiply a fraction by a whole number. Most: Multiply two fractions and simplify. Some: Divide a fraction by a whole number and simplify. Each level is two pages of six questions, each with a squared working area, and the last page has every answer, with short working for multi-step questions. Each level is also available as its own 3-page PDF. Example questions from the Some level: 2/4 ÷ 2 = / 1/6 ÷ 4 =.

What is multiplying and dividing fractions? In Year 6, pupils multiply simple pairs of proper fractions (½ × ¼ = ⅛) and divide proper fractions by whole numbers (⅓ ÷ 2 = ⅙). Multiplying fractions means multiplying numerators and denominators, and the answer is smaller than either fraction. Dividing a fraction by a whole number shares it into equal parts.

Common mistakes and tips: Children often expect multiplication to make numbers bigger and are confused when ½ × ½ = ¼. Area models (shading a rectangle) make this clear. When dividing, a common error is dividing the denominator instead of multiplying it. Simplifying answers fully is another frequent mark-loser in the SATs.

In the KS2 SATs, this topic can appear on the arithmetic paper, on the two reasoning papers, or both. Reasoning questions often wrap the skill in a context or ask children to explain an answer, so the three levels on this sheet build from fluency to the kind of problem pupils meet in the test.

Ways to use it: whole-class differentiation (three levels for the same lesson), focused intervention for children working towards the expected standard, homework, or targeted revision before the SATs. Set one level as a quick assessment and use the answers to decide who needs another lesson on the topic.

Building fluency over time: revisiting this topic little and often throughout the year, rather than only in one unit, helps children retain it for the SATs. A few questions from the All or Most level make a good retrieval starter several weeks after the topic was first taught.

Use All for children working towards the expected standard, Most for secure Year 5 skills and Some for SATs-standard practice: three entry points to the same lesson. Suits whole-class differentiation, intervention groups, homework and SATs revision, and upper KS2 generally.

Part of a set of 42 Year 6 maths topics.