Year 7 Ratio Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 7 ratio & rates worksheet.
Year 7 · Mathematics · Ratio & Rates
Year 7 Ratio Worksheet — Level 1 — Answers
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Part A — Simplify
1.Simplify the ratio 12 : 32
Answer: 3 : 8
- HCF of 12 and 32 is 4
- Divide both parts by 4
2.Simplify the ratio 12 : 16
Answer: 3 : 4
- HCF of 12 and 16 is 4
- Divide both parts by 4
3.Simplify the ratio 24 : 18
Answer: 4 : 3
- HCF of 24 and 18 is 6
- Divide both parts by 6
4.Simplify the ratio 12 : 12
Answer: 1 : 1
- HCF of 12 and 12 is 12
- Divide both parts by 12
5.Simplify the ratio 15 : 6
Answer: 5 : 2
- HCF of 15 and 6 is 3
- Divide both parts by 3
6.Simplify the ratio 20 : 16
Answer: 5 : 4
- HCF of 20 and 16 is 4
- Divide both parts by 4
Part B — Divide in a ratio
7.Divide $25 in the ratio 4 : 1.
Answer: $20 and $5
- Total parts: 4 + 1 = 5
- One part: 25 ÷ 5 = 5
- 4 × 5 = 20 and 1 × 5 = 5
8.Divide $12 in the ratio 2 : 2.
Answer: $6 and $6
- Total parts: 2 + 2 = 4
- One part: 12 ÷ 4 = 3
- 2 × 3 = 6 and 2 × 3 = 6
9.Divide $88 in the ratio 5 : 3.
Answer: $55 and $33
- Total parts: 5 + 3 = 8
- One part: 88 ÷ 8 = 11
- 5 × 11 = 55 and 3 × 11 = 33
10.Divide $55 in the ratio 1 : 4.
Answer: $11 and $44
- Total parts: 1 + 4 = 5
- One part: 55 ÷ 5 = 11
- 1 × 11 = 11 and 4 × 11 = 44
11.Divide $18 in the ratio 1 : 1.
Answer: $9 and $9
- Total parts: 1 + 1 = 2
- One part: 18 ÷ 2 = 9
- 1 × 9 = 9 and 1 × 9 = 9
12.Divide $16 in the ratio 5 : 3.
Answer: $10 and $6
- Total parts: 5 + 3 = 8
- One part: 16 ÷ 8 = 2
- 5 × 2 = 10 and 3 × 2 = 6
Marking tips
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