Year 7 Ratio Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 7 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Ratio & RatesYear 7 Ratio Worksheet — Level 3 — Answers
Part A: Simplify
1.Simplify the ratio 72 : 64
Answer: 9 : 8
- HCF of 72 and 64 is 8
- Divide both parts by 8
2.Simplify the ratio 48 : 72
Answer: 2 : 3
- HCF of 48 and 72 is 24
- Divide both parts by 24
3.Simplify the ratio 72 : 84
Answer: 6 : 7
- HCF of 72 and 84 is 12
- Divide both parts by 12
4.Simplify the ratio 27 : 18
Answer: 3 : 2
- HCF of 27 and 18 is 9
- Divide both parts by 9
5.Simplify the ratio 20 : 25
Answer: 4 : 5
- HCF of 20 and 25 is 5
- Divide both parts by 5
6.Simplify the ratio 21 : 14
Answer: 3 : 2
- HCF of 21 and 14 is 7
- Divide both parts by 7
Part B: Divide in a ratio
7.Divide $95 in the ratio 3 : 2.
Answer: $57 and $38
- Total parts: 3 + 2 = 5
- One part: 95 ÷ 5 = 19
- 3 × 19 = 57 and 2 × 19 = 38
8.Divide $175 in the ratio 2 : 5.
Answer: $50 and $125
- Total parts: 2 + 5 = 7
- One part: 175 ÷ 7 = 25
- 2 × 25 = 50 and 5 × 25 = 125
9.Divide $42 in the ratio 4 : 2.
Answer: $28 and $14
- Total parts: 4 + 2 = 6
- One part: 42 ÷ 6 = 7
- 4 × 7 = 28 and 2 × 7 = 14
10.Divide $190 in the ratio 4 : 1.
Answer: $152 and $38
- Total parts: 4 + 1 = 5
- One part: 190 ÷ 5 = 38
- 4 × 38 = 152 and 1 × 38 = 38
11.Divide $55 in the ratio 3 : 2.
Answer: $33 and $22
- Total parts: 3 + 2 = 5
- One part: 55 ÷ 5 = 11
- 3 × 11 = 33 and 2 × 11 = 22
12.Divide $304 in the ratio 3 : 5.
Answer: $114 and $190
- Total parts: 3 + 5 = 8
- One part: 304 ÷ 8 = 38
- 3 × 38 = 114 and 5 × 38 = 190
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.