Year 9 Ratio Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 9 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Ratio & RatesYear 9 Ratio Worksheet — Level 3 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 21 : 42
Answer: 1 : 2
- HCF of 21 and 42 is 21
- Divide both parts by 21
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 42 : 14
Answer: 3 : 1
- HCF of 42 and 14 is 14
- Divide both parts by 14
4.Simplify the ratio 27 : 18
Answer: 3 : 2
- HCF of 27 and 18 is 9
- Divide both parts by 9
5.Simplify the ratio 42 : 30
Answer: 7 : 5
- HCF of 42 and 30 is 6
- Divide both parts by 6
6.Simplify the ratio 40 : 5
Answer: 8 : 1
- HCF of 40 and 5 is 5
- Divide both parts by 5
Part B: Divide in a ratio
7.Divide $185 in the ratio 4 : 1.
Answer: $148 and $37
- Total parts: 4 + 1 = 5
- One part: 185 ÷ 5 = 37
- 4 × 37 = 148 and 1 × 37 = 37
8.Divide $96 in the ratio 3 : 5.
Answer: $36 and $60
- Total parts: 3 + 5 = 8
- One part: 96 ÷ 8 = 12
- 3 × 12 = 36 and 5 × 12 = 60
9.Divide $15 in the ratio 3 : 2.
Answer: $9 and $6
- Total parts: 3 + 2 = 5
- One part: 15 ÷ 5 = 3
- 3 × 3 = 9 and 2 × 3 = 6
10.Divide $70 in the ratio 2 : 3.
Answer: $28 and $42
- Total parts: 2 + 3 = 5
- One part: 70 ÷ 5 = 14
- 2 × 14 = 28 and 3 × 14 = 42
11.Divide $91 in the ratio 2 : 5.
Answer: $26 and $65
- Total parts: 2 + 5 = 7
- One part: 91 ÷ 7 = 13
- 2 × 13 = 26 and 5 × 13 = 65
12.Divide $124 in the ratio 3 : 1.
Answer: $93 and $31
- Total parts: 3 + 1 = 4
- One part: 124 ÷ 4 = 31
- 3 × 31 = 93 and 1 × 31 = 31
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.