Year 8 Ratio Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 8 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Ratio & RatesYear 8 Ratio Worksheet — Level 3 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 12 : 84
Answer: 1 : 7
- HCF of 12 and 84 is 12
- Divide both parts by 12
2.Simplify the ratio 63 : 28
Answer: 9 : 4
- HCF of 63 and 28 is 7
- Divide both parts by 7
3.Simplify the ratio 14 : 56
Answer: 1 : 4
- HCF of 14 and 56 is 14
- Divide both parts by 14
4.Simplify the ratio 56 : 28
Answer: 2 : 1
- HCF of 56 and 28 is 28
- Divide both parts by 28
5.Simplify the ratio 22 : 77
Answer: 2 : 7
- HCF of 22 and 77 is 11
- Divide both parts by 11
6.Simplify the ratio 36 : 48
Answer: 3 : 4
- HCF of 36 and 48 is 12
- Divide both parts by 12
Part B: Divide in a ratio
7.Divide $42 in the ratio 4 : 2.
Answer: $28 and $14
- Total parts: 4 + 2 = 6
- One part: 42 ÷ 6 = 7
- 4 × 7 = 28 and 2 × 7 = 14
8.Divide $84 in the ratio 1 : 2.
Answer: $28 and $56
- Total parts: 1 + 2 = 3
- One part: 84 ÷ 3 = 28
- 1 × 28 = 28 and 2 × 28 = 56
9.Divide $210 in the ratio 5 : 2.
Answer: $150 and $60
- Total parts: 5 + 2 = 7
- One part: 210 ÷ 7 = 30
- 5 × 30 = 150 and 2 × 30 = 60
10.Divide $112 in the ratio 2 : 5.
Answer: $32 and $80
- Total parts: 2 + 5 = 7
- One part: 112 ÷ 7 = 16
- 2 × 16 = 32 and 5 × 16 = 80
11.Divide $155 in the ratio 4 : 1.
Answer: $124 and $31
- Total parts: 4 + 1 = 5
- One part: 155 ÷ 5 = 31
- 4 × 31 = 124 and 1 × 31 = 31
12.Divide $84 in the ratio 2 : 2.
Answer: $42 and $42
- Total parts: 2 + 2 = 4
- One part: 84 ÷ 4 = 21
- 2 × 21 = 42 and 2 × 21 = 42
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.