Year 9 Ratio Worksheet — Level 3 — Practice Set 3 — 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 3 — Answers
Part A: Simplify
1.Simplify the ratio 99 : 77
Answer: 9 : 7
- HCF of 99 and 77 is 11
- Divide both parts by 11
2.Simplify the ratio 42 : 6
Answer: 7 : 1
- HCF of 42 and 6 is 6
- Divide both parts by 6
3.Simplify the ratio 10 : 80
Answer: 1 : 8
- HCF of 10 and 80 is 10
- Divide both parts by 10
4.Simplify the ratio 10 : 90
Answer: 1 : 9
- HCF of 10 and 90 is 10
- Divide both parts by 10
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 72 : 56
Answer: 9 : 7
- HCF of 72 and 56 is 8
- Divide both parts by 8
Part B: Divide in a ratio
7.Divide $45 in the ratio 4 : 1.
Answer: $36 and $9
- Total parts: 4 + 1 = 5
- One part: 45 ÷ 5 = 9
- 4 × 9 = 36 and 1 × 9 = 9
8.Divide $34 in the ratio 1 : 1.
Answer: $17 and $17
- Total parts: 1 + 1 = 2
- One part: 34 ÷ 2 = 17
- 1 × 17 = 17 and 1 × 17 = 17
9.Divide $96 in the ratio 1 : 5.
Answer: $16 and $80
- Total parts: 1 + 5 = 6
- One part: 96 ÷ 6 = 16
- 1 × 16 = 16 and 5 × 16 = 80
10.Divide $10 in the ratio 4 : 1.
Answer: $8 and $2
- Total parts: 4 + 1 = 5
- One part: 10 ÷ 5 = 2
- 4 × 2 = 8 and 1 × 2 = 2
11.Divide $120 in the ratio 4 : 2.
Answer: $80 and $40
- Total parts: 4 + 2 = 6
- One part: 120 ÷ 6 = 20
- 4 × 20 = 80 and 2 × 20 = 40
12.Divide $120 in the ratio 4 : 1.
Answer: $96 and $24
- Total parts: 4 + 1 = 5
- One part: 120 ÷ 5 = 24
- 4 × 24 = 96 and 1 × 24 = 24
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.