Year 8 Ratio Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Part A: Simplify
1.Simplify the ratio 12 : 60
Answer: 1 : 5
- HCF of 12 and 60 is 12
- Divide both parts by 12
2.Simplify the ratio 7 : 49
Answer: 1 : 7
- HCF of 7 and 49 is 7
- Divide both parts by 7
3.Simplify the ratio 33 : 44
Answer: 3 : 4
- HCF of 33 and 44 is 11
- Divide both parts by 11
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 21 : 12
Answer: 7 : 4
- HCF of 21 and 12 is 3
- Divide both parts by 3
6.Simplify the ratio 21 : 21
Answer: 1 : 1
- HCF of 21 and 21 is 21
- Divide both parts by 21
Part B: Divide in a ratio
7.Divide $64 in the ratio 4 : 4.
Answer: $32 and $32
- Total parts: 4 + 4 = 8
- One part: 64 ÷ 8 = 8
- 4 × 8 = 32 and 4 × 8 = 32
8.Divide $16 in the ratio 2 : 2.
Answer: $8 and $8
- Total parts: 2 + 2 = 4
- One part: 16 ÷ 4 = 4
- 2 × 4 = 8 and 2 × 4 = 8
9.Divide $24 in the ratio 2 : 1.
Answer: $16 and $8
- Total parts: 2 + 1 = 3
- One part: 24 ÷ 3 = 8
- 2 × 8 = 16 and 1 × 8 = 8
10.Divide $112 in the ratio 3 : 1.
Answer: $84 and $28
- Total parts: 3 + 1 = 4
- One part: 112 ÷ 4 = 28
- 3 × 28 = 84 and 1 × 28 = 28
11.Divide $333 in the ratio 4 : 5.
Answer: $148 and $185
- Total parts: 4 + 5 = 9
- One part: 333 ÷ 9 = 37
- 4 × 37 = 148 and 5 × 37 = 185
12.Divide $32 in the ratio 4 : 4.
Answer: $16 and $16
- Total parts: 4 + 4 = 8
- One part: 32 ÷ 8 = 4
- 4 × 4 = 16 and 4 × 4 = 16
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.