Year 8 Ratio Worksheet — Level 1 — Practice Set 3 — 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 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 20 : 36
Answer: 5 : 9
- HCF of 20 and 36 is 4
- Divide both parts by 4
2.Simplify the ratio 6 : 16
Answer: 3 : 8
- HCF of 6 and 16 is 2
- Divide both parts by 2
3.Simplify the ratio 6 : 14
Answer: 3 : 7
- HCF of 6 and 14 is 2
- Divide both parts by 2
4.Simplify the ratio 6 : 18
Answer: 1 : 3
- HCF of 6 and 18 is 6
- Divide both parts by 6
5.Simplify the ratio 10 : 4
Answer: 5 : 2
- HCF of 10 and 4 is 2
- Divide both parts by 2
6.Simplify the ratio 21 : 12
Answer: 7 : 4
- HCF of 21 and 12 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $90 in the ratio 4 : 5.
Answer: $40 and $50
- Total parts: 4 + 5 = 9
- One part: 90 ÷ 9 = 10
- 4 × 10 = 40 and 5 × 10 = 50
8.Divide $50 in the ratio 5 : 5.
Answer: $25 and $25
- Total parts: 5 + 5 = 10
- One part: 50 ÷ 10 = 5
- 5 × 5 = 25 and 5 × 5 = 25
9.Divide $18 in the ratio 1 : 5.
Answer: $3 and $15
- Total parts: 1 + 5 = 6
- One part: 18 ÷ 6 = 3
- 1 × 3 = 3 and 5 × 3 = 15
10.Divide $21 in the ratio 1 : 2.
Answer: $7 and $14
- Total parts: 1 + 2 = 3
- One part: 21 ÷ 3 = 7
- 1 × 7 = 7 and 2 × 7 = 14
11.Divide $72 in the ratio 3 : 3.
Answer: $36 and $36
- Total parts: 3 + 3 = 6
- One part: 72 ÷ 6 = 12
- 3 × 12 = 36 and 3 × 12 = 36
12.Divide $42 in the ratio 5 : 2.
Answer: $30 and $12
- Total parts: 5 + 2 = 7
- One part: 42 ÷ 7 = 6
- 5 × 6 = 30 and 2 × 6 = 12
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.