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 5 : 10
Answer: 1 : 2
- HCF of 5 and 10 is 5
- Divide both parts by 5
2.Simplify the ratio 55 : 44
Answer: 5 : 4
- HCF of 55 and 44 is 11
- Divide both parts by 11
3.Simplify the ratio 42 : 56
Answer: 3 : 4
- HCF of 42 and 56 is 14
- Divide both parts by 14
4.Simplify the ratio 28 : 4
Answer: 7 : 1
- HCF of 28 and 4 is 4
- Divide both parts by 4
5.Simplify the ratio 48 : 30
Answer: 8 : 5
- HCF of 48 and 30 is 6
- Divide both parts by 6
6.Simplify the ratio 54 : 42
Answer: 9 : 7
- HCF of 54 and 42 is 6
- Divide both parts by 6
Part B: Divide in a ratio
7.Divide $135 in the ratio 5 : 4.
Answer: $75 and $60
- Total parts: 5 + 4 = 9
- One part: 135 ÷ 9 = 15
- 5 × 15 = 75 and 4 × 15 = 60
8.Divide $72 in the ratio 2 : 2.
Answer: $36 and $36
- Total parts: 2 + 2 = 4
- One part: 72 ÷ 4 = 18
- 2 × 18 = 36 and 2 × 18 = 36
9.Divide $351 in the ratio 4 : 5.
Answer: $156 and $195
- Total parts: 4 + 5 = 9
- One part: 351 ÷ 9 = 39
- 4 × 39 = 156 and 5 × 39 = 195
10.Divide $112 in the ratio 3 : 1.
Answer: $84 and $28
- Total parts: 3 + 1 = 4
- One part: 112 ÷ 4 = 28
- 3 × 28 = 84 and 1 × 28 = 28
11.Divide $132 in the ratio 1 : 3.
Answer: $33 and $99
- Total parts: 1 + 3 = 4
- One part: 132 ÷ 4 = 33
- 1 × 33 = 33 and 3 × 33 = 99
12.Divide $60 in the ratio 1 : 3.
Answer: $15 and $45
- Total parts: 1 + 3 = 4
- One part: 60 ÷ 4 = 15
- 1 × 15 = 15 and 3 × 15 = 45
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.