Year 7 Ratio Worksheet — Level 3 — Practice Set 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 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 15 : 15
Answer: 1 : 1
- HCF of 15 and 15 is 15
- Divide both parts by 15
2.Simplify the ratio 12 : 6
Answer: 2 : 1
- HCF of 12 and 6 is 6
- Divide both parts by 6
3.Simplify the ratio 4 : 20
Answer: 1 : 5
- HCF of 4 and 20 is 4
- Divide both parts by 4
4.Simplify the ratio 42 : 12
Answer: 7 : 2
- HCF of 42 and 12 is 6
- Divide both parts by 6
5.Simplify the ratio 24 : 12
Answer: 2 : 1
- HCF of 24 and 12 is 12
- Divide both parts by 12
6.Simplify the ratio 80 : 40
Answer: 2 : 1
- HCF of 80 and 40 is 40
- Divide both parts by 40
Part B: Divide in a ratio
7.Divide $240 in the ratio 5 : 3.
Answer: $150 and $90
- Total parts: 5 + 3 = 8
- One part: 240 ÷ 8 = 30
- 5 × 30 = 150 and 3 × 30 = 90
8.Divide $132 in the ratio 3 : 1.
Answer: $99 and $33
- Total parts: 3 + 1 = 4
- One part: 132 ÷ 4 = 33
- 3 × 33 = 99 and 1 × 33 = 33
9.Divide $198 in the ratio 2 : 4.
Answer: $66 and $132
- Total parts: 2 + 4 = 6
- One part: 198 ÷ 6 = 33
- 2 × 33 = 66 and 4 × 33 = 132
10.Divide $342 in the ratio 4 : 5.
Answer: $152 and $190
- Total parts: 4 + 5 = 9
- One part: 342 ÷ 9 = 38
- 4 × 38 = 152 and 5 × 38 = 190
11.Divide $72 in the ratio 2 : 4.
Answer: $24 and $48
- Total parts: 2 + 4 = 6
- One part: 72 ÷ 6 = 12
- 2 × 12 = 24 and 4 × 12 = 48
12.Divide $192 in the ratio 3 : 3.
Answer: $96 and $96
- Total parts: 3 + 3 = 6
- One part: 192 ÷ 6 = 32
- 3 × 32 = 96 and 3 × 32 = 96
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.