Success TutoringWorksheets

Year 7 Ratio Worksheet — Level 1 — 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 1 — Practice Set 4 — Answers

Part A: Simplify

1.Simplify the ratio 18 : 27

Answer: 2 : 3

  1. HCF of 18 and 27 is 9
  2. Divide both parts by 9
2.Simplify the ratio 14 : 2

Answer: 7 : 1

  1. HCF of 14 and 2 is 2
  2. Divide both parts by 2
3.Simplify the ratio 27 : 3

Answer: 9 : 1

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

Answer: 1 : 8

  1. HCF of 3 and 24 is 3
  2. Divide both parts by 3
5.Simplify the ratio 21 : 24

Answer: 7 : 8

  1. HCF of 21 and 24 is 3
  2. Divide both parts by 3
6.Simplify the ratio 8 : 12

Answer: 2 : 3

  1. HCF of 8 and 12 is 4
  2. Divide both parts by 4

Part B: Divide in a ratio

7.Divide $30 in the ratio 1 : 5.

Answer: $5 and $25

  1. Total parts: 1 + 5 = 6
  2. One part: 30 ÷ 6 = 5
  3. 1 × 5 = 5 and 5 × 5 = 25
8.Divide $10 in the ratio 3 : 2.

Answer: $6 and $4

  1. Total parts: 3 + 2 = 5
  2. One part: 10 ÷ 5 = 2
  3. 3 × 2 = 6 and 2 × 2 = 4
9.Divide $90 in the ratio 5 : 4.

Answer: $50 and $40

  1. Total parts: 5 + 4 = 9
  2. One part: 90 ÷ 9 = 10
  3. 5 × 10 = 50 and 4 × 10 = 40
10.Divide $72 in the ratio 4 : 2.

Answer: $48 and $24

  1. Total parts: 4 + 2 = 6
  2. One part: 72 ÷ 6 = 12
  3. 4 × 12 = 48 and 2 × 12 = 24
11.Divide $42 in the ratio 5 : 2.

Answer: $30 and $12

  1. Total parts: 5 + 2 = 7
  2. One part: 42 ÷ 7 = 6
  3. 5 × 6 = 30 and 2 × 6 = 12
12.Divide $40 in the ratio 1 : 3.

Answer: $10 and $30

  1. Total parts: 1 + 3 = 4
  2. One part: 40 ÷ 4 = 10
  3. 1 × 10 = 10 and 3 × 10 = 30
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: