Year 8 Ratio Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 8 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Ratio & RatesYear 8 Ratio Worksheet — Level 1 — Answers
Part A: Simplify
1.Simplify the ratio 10 : 2
Answer: 5 : 1
- HCF of 10 and 2 is 2
- Divide both parts by 2
2.Simplify the ratio 14 : 4
Answer: 7 : 2
- HCF of 14 and 4 is 2
- Divide both parts by 2
3.Simplify the ratio 15 : 24
Answer: 5 : 8
- HCF of 15 and 24 is 3
- Divide both parts by 3
4.Simplify the ratio 10 : 6
Answer: 5 : 3
- HCF of 10 and 6 is 2
- Divide both parts by 2
5.Simplify the ratio 21 : 24
Answer: 7 : 8
- HCF of 21 and 24 is 3
- Divide both parts by 3
6.Simplify the ratio 15 : 6
Answer: 5 : 2
- HCF of 15 and 6 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $25 in the ratio 3 : 2.
Answer: $15 and $10
- Total parts: 3 + 2 = 5
- One part: 25 ÷ 5 = 5
- 3 × 5 = 15 and 2 × 5 = 10
8.Divide $25 in the ratio 2 : 3.
Answer: $10 and $15
- Total parts: 2 + 3 = 5
- One part: 25 ÷ 5 = 5
- 2 × 5 = 10 and 3 × 5 = 15
9.Divide $40 in the ratio 1 : 3.
Answer: $10 and $30
- Total parts: 1 + 3 = 4
- One part: 40 ÷ 4 = 10
- 1 × 10 = 10 and 3 × 10 = 30
10.Divide $40 in the ratio 5 : 5.
Answer: $20 and $20
- Total parts: 5 + 5 = 10
- One part: 40 ÷ 10 = 4
- 5 × 4 = 20 and 5 × 4 = 20
11.Divide $48 in the ratio 4 : 2.
Answer: $32 and $16
- Total parts: 4 + 2 = 6
- One part: 48 ÷ 6 = 8
- 4 × 8 = 32 and 2 × 8 = 16
12.Divide $84 in the ratio 5 : 2.
Answer: $60 and $24
- Total parts: 5 + 2 = 7
- One part: 84 ÷ 7 = 12
- 5 × 12 = 60 and 2 × 12 = 24
Marking tips
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