Success TutoringWorksheets

Year 7 Ratio Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 7 ratio & rates worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Ratio & Rates

Year 7 Ratio Worksheet — Level 2 — Practice Set 4 — Answers

Part A: Simplify

1.Simplify the ratio 36 : 96

Answer: 3 : 8

  1. HCF of 36 and 96 is 12
  2. Divide both parts by 12
2.Simplify the ratio 54 : 54

Answer: 1 : 1

  1. HCF of 54 and 54 is 54
  2. Divide both parts by 54
3.Simplify the ratio 16 : 24

Answer: 2 : 3

  1. HCF of 16 and 24 is 8
  2. Divide both parts by 8
4.Simplify the ratio 36 : 108

Answer: 1 : 3

  1. HCF of 36 and 108 is 36
  2. Divide both parts by 36
5.Simplify the ratio 27 : 6

Answer: 9 : 2

  1. HCF of 27 and 6 is 3
  2. Divide both parts by 3
6.Simplify the ratio 24 : 4

Answer: 6 : 1

  1. HCF of 24 and 4 is 4
  2. Divide both parts by 4

Part B: Divide in a ratio

7.Divide $20 in the ratio 1 : 3.

Answer: $5 and $15

  1. Total parts: 1 + 3 = 4
  2. One part: 20 ÷ 4 = 5
  3. 1 × 5 = 5 and 3 × 5 = 15
8.Divide $48 in the ratio 5 : 3.

Answer: $30 and $18

  1. Total parts: 5 + 3 = 8
  2. One part: 48 ÷ 8 = 6
  3. 5 × 6 = 30 and 3 × 6 = 18
9.Divide $24 in the ratio 1 : 3.

Answer: $6 and $18

  1. Total parts: 1 + 3 = 4
  2. One part: 24 ÷ 4 = 6
  3. 1 × 6 = 6 and 3 × 6 = 18
10.Divide $20 in the ratio 1 : 4.

Answer: $4 and $16

  1. Total parts: 1 + 4 = 5
  2. One part: 20 ÷ 5 = 4
  3. 1 × 4 = 4 and 4 × 4 = 16
11.Divide $16 in the ratio 2 : 2.

Answer: $8 and $8

  1. Total parts: 2 + 2 = 4
  2. One part: 16 ÷ 4 = 4
  3. 2 × 4 = 8 and 2 × 4 = 8
12.Divide $20 in the ratio 5 : 5.

Answer: $10 and $10

  1. Total parts: 5 + 5 = 10
  2. One part: 20 ÷ 10 = 2
  3. 5 × 2 = 10 and 5 × 2 = 10
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: