PracticeQuestionsYears 1–7
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Ratio and proportion

Year 6 · Upper Key Stage 2 · 6R3 — Solve problems involving unequal sharing

Draft — awaiting teacher review

Builds on: Multiplication as equal groups (Year 3)

I

Concept Anchor

A ratio a:ba:b compares two quantities. To share an amount in a ratio, find the total number of parts, then the value of one part.

Worked example

Share £45 in the ratio 2:32:3.

  1. 1.Total parts: 2+3=52 + 3 = 5.
  2. 2.One part: 45÷5=945 \div 5 = 9.
  3. 3.Shares: 2×9=182 \times 9 = 18 and 3×9=273 \times 9 = 27.
  4. 4.Check: 18+27=4518 + 27 = 45.
II

Guided Check

A recipe uses flour and sugar in the ratio 5:25:2. If 350 g of flour is used, how much sugar is needed?

    III

    Independent Diagnostic Practice

    Q1Year 66R3 — Solve problems involving unequal sharing·Fluency·●○○Draft — awaiting teacher review

    Share 24 sweets in the ratio 1:31:3. How many are in the larger share?

    Q2Year 66R1 — Relative sizes using integer multiplication·Reasoning·●●○Draft — awaiting teacher review

    There are 3 red beads for every 2 blue beads. There are 12 red beads. How many blue?

    Q3Year 66R3 — Solve problems involving unequal sharing·Problem Solving·●●●Draft — awaiting teacher review

    Ali and Bea share money in the ratio 2:52:5. Bea gets £21 more than Ali. How much does Ali get?