Year 7 Ratio Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Part A: Simplify
1.Simplify the ratio 48 : 72
Answer: 2 : 3
- HCF of 48 and 72 is 24
- Divide both parts by 24
2.Simplify the ratio 36 : 48
Answer: 3 : 4
- HCF of 36 and 48 is 12
- Divide both parts by 12
3.Simplify the ratio 32 : 28
Answer: 8 : 7
- HCF of 32 and 28 is 4
- Divide both parts by 4
4.Simplify the ratio 16 : 8
Answer: 2 : 1
- HCF of 16 and 8 is 8
- Divide both parts by 8
5.Simplify the ratio 4 : 12
Answer: 1 : 3
- HCF of 4 and 12 is 4
- Divide both parts by 4
6.Simplify the ratio 60 : 48
Answer: 5 : 4
- HCF of 60 and 48 is 12
- Divide both parts by 12
Part B: Divide in a ratio
7.Divide $92 in the ratio 1 : 3.
Answer: $23 and $69
- Total parts: 1 + 3 = 4
- One part: 92 ÷ 4 = 23
- 1 × 23 = 23 and 3 × 23 = 69
8.Divide $116 in the ratio 1 : 3.
Answer: $29 and $87
- Total parts: 1 + 3 = 4
- One part: 116 ÷ 4 = 29
- 1 × 29 = 29 and 3 × 29 = 87
9.Divide $180 in the ratio 1 : 4.
Answer: $36 and $144
- Total parts: 1 + 4 = 5
- One part: 180 ÷ 5 = 36
- 1 × 36 = 36 and 4 × 36 = 144
10.Divide $176 in the ratio 4 : 4.
Answer: $88 and $88
- Total parts: 4 + 4 = 8
- One part: 176 ÷ 8 = 22
- 4 × 22 = 88 and 4 × 22 = 88
11.Divide $153 in the ratio 4 : 5.
Answer: $68 and $85
- Total parts: 4 + 5 = 9
- One part: 153 ÷ 9 = 17
- 4 × 17 = 68 and 5 × 17 = 85
12.Divide $115 in the ratio 4 : 1.
Answer: $92 and $23
- Total parts: 4 + 1 = 5
- One part: 115 ÷ 5 = 23
- 4 × 23 = 92 and 1 × 23 = 23
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.