PracticeQuestionsYears 1–7
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Ratio notation and sharing in a ratio

Year 7 bridging · Year 7 bridging · 7R-1 — KS3: use ratio notation, simplify ratios and divide a quantity in a given ratio

Draft — awaiting teacher review

Builds on: Ratio and proportion (Year 6), Problems with two unknowns (Year 6)

I

Concept Anchor

A ratio compares parts of a whole. To share in the ratio 2 : 3, split the total into 2 + 3 = 5 equal parts. Simplify a ratio by dividing both sides by a common factor.

Worked example

Share 20 sweets in the ratio 2 : 3.

  1. 1.Total parts: 2 + 3 = 5.
  2. 2.One part: 20 ÷ 5 = 4.
  3. 3.Shares: 2 × 4 = 8 and 3 × 4 = 12.
  4. 4.Check: 8 + 12 = 20.
II

Guided Check

Simplify the ratio 10 : 15.

    III

    Independent Diagnostic Practice

    Q1Year 7 bridging7R-1 — Share in a ratio·Fluency·●●○Draft — awaiting teacher review

    Share 20 sweets in the ratio 2 : 3. How many sweets are in the larger share?

    Q2Year 7 bridging7R-1 — Simplify a ratio·Reasoning·●●○Draft — awaiting teacher review

    Write 12 : 18 in its simplest form.

    Q3Year 7 bridging7R-1 — Use a ratio to find a quantity·Problem Solving·●●●Draft — awaiting teacher review

    A recipe uses flour and sugar in the ratio 3 : 1. Mia uses 240 g of flour. How much sugar does she need?