Equivalent Fractions Worksheets: Year 6

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

7-page A4 PDF from the Tiger Shark Education question bank. All: Shade a bar to show an equivalent fraction. Most: Find equivalent fractions by shading and by writing them. Some: Shade equivalent fractions with twelfths and more. Each level is two pages of six questions, each with its own diagram and space for working, and the last page has every answer, with the correct drawing for each “draw it” question. Each level is also available as its own 3-page PDF. Example questions from the Some level: Shade a fraction equal to 3/4 on the bar / Shade a fraction equal to 3/5 on the bar.

What are equivalent fractions? Equivalent fractions have the same value but different numerators and denominators: ½ = 2/4 = 3/6 = 50/100. They are made by multiplying or dividing the numerator and denominator by the same number. Simplifying a fraction means dividing both by their highest common factor.

Common mistakes and tips: Children often add the same number to the top and bottom (thinking ½ = 2/3) instead of multiplying. Others simplify only partly (6/12 to 3/6 rather than ½). Fraction walls show equivalence visually, and practising times tables supports finding common factors quickly.

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.