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

7-page A4 PDF from the Tiger Shark Education question bank. All: Solve problems with simple fractions. Most: Find a fraction of an amount. Some: Solve scaling, rate and fraction problems. 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: A hosepipe fills a paddling pool with 6 litres every minute. How many litres go in over 3 minutes? / A recipe for 2 people uses 63 g of pasta. How much pasta is needed for 6 people?

What are fractions of amounts and scaling? Finding a fraction of an amount means dividing by the denominator and multiplying by the numerator (¾ of 28 = 28 ÷ 4 × 3 = 21). Scaling problems use fractions or multipliers to increase or decrease quantities, such as adjusting a recipe. These skills connect fractions, multiplication and ratio.

Common mistakes and tips: Children often divide by the numerator or forget to multiply after dividing. A bar model makes the process visual: split the bar into quarters, then take three. In scaling problems, pupils sometimes add rather than multiply. Discussing whether the answer should be larger or smaller than the starting amount helps.

Questions on this topic appear year after year in the KS2 maths SATs. Because each sheet starts with the core skill and builds to test-style problems, it works both for teaching the topic and for spotting gaps during revision.

Teaching ideas: use the All level to check prerequisite knowledge at the start of a lesson, then move children onto Most or Some when they are ready. Squared working space encourages neat written methods. The answer page includes short working for multi-step questions, so pupils can self-mark and see where they went wrong.

Spotting misconceptions: the mistakes children make on this topic are usually consistent, so look for patterns across their answers rather than marking each question in isolation. A short follow-up on the specific misconception, using concrete resources or diagrams, is often more effective than setting more of the same questions.

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.