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 18 : 54
Answer: 1 : 3
- HCF of 18 and 54 is 18
- Divide both parts by 18
2.Simplify the ratio 45 : 10
Answer: 9 : 2
- HCF of 45 and 10 is 5
- Divide both parts by 5
3.Simplify the ratio 54 : 30
Answer: 9 : 5
- HCF of 54 and 30 is 6
- Divide both parts by 6
4.Simplify the ratio 24 : 36
Answer: 2 : 3
- HCF of 24 and 36 is 12
- Divide both parts by 12
5.Simplify the ratio 27 : 27
Answer: 1 : 1
- HCF of 27 and 27 is 27
- Divide both parts by 27
6.Simplify the ratio 32 : 24
Answer: 4 : 3
- HCF of 32 and 24 is 8
- Divide both parts by 8
Part B: Divide in a ratio
7.Divide $70 in the ratio 1 : 1.
Answer: $35 and $35
- Total parts: 1 + 1 = 2
- One part: 70 ÷ 2 = 35
- 1 × 35 = 35 and 1 × 35 = 35
8.Divide $320 in the ratio 5 : 5.
Answer: $160 and $160
- Total parts: 5 + 5 = 10
- One part: 320 ÷ 10 = 32
- 5 × 32 = 160 and 5 × 32 = 160
9.Divide $48 in the ratio 2 : 1.
Answer: $32 and $16
- Total parts: 2 + 1 = 3
- One part: 48 ÷ 3 = 16
- 2 × 16 = 32 and 1 × 16 = 16
10.Divide $126 in the ratio 1 : 5.
Answer: $21 and $105
- Total parts: 1 + 5 = 6
- One part: 126 ÷ 6 = 21
- 1 × 21 = 21 and 5 × 21 = 105
11.Divide $120 in the ratio 4 : 4.
Answer: $60 and $60
- Total parts: 4 + 4 = 8
- One part: 120 ÷ 8 = 15
- 4 × 15 = 60 and 4 × 15 = 60
12.Divide $114 in the ratio 1 : 2.
Answer: $38 and $76
- Total parts: 1 + 2 = 3
- One part: 114 ÷ 3 = 38
- 1 × 38 = 38 and 2 × 38 = 76
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.