Year 9 Ratio Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 9 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Ratio & RatesYear 9 Ratio Worksheet — Level 2 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 63 : 63
Answer: 1 : 1
- HCF of 63 and 63 is 63
- Divide both parts by 63
2.Simplify the ratio 45 : 35
Answer: 9 : 7
- HCF of 45 and 35 is 5
- Divide both parts by 5
3.Simplify the ratio 45 : 10
Answer: 9 : 2
- HCF of 45 and 10 is 5
- Divide both parts by 5
4.Simplify the ratio 77 : 88
Answer: 7 : 8
- HCF of 77 and 88 is 11
- Divide both parts by 11
5.Simplify the ratio 99 : 88
Answer: 9 : 8
- HCF of 99 and 88 is 11
- Divide both parts by 11
6.Simplify the ratio 40 : 20
Answer: 2 : 1
- HCF of 40 and 20 is 20
- Divide both parts by 20
Part B: Divide in a ratio
7.Divide $12 in the ratio 3 : 1.
Answer: $9 and $3
- Total parts: 3 + 1 = 4
- One part: 12 ÷ 4 = 3
- 3 × 3 = 9 and 1 × 3 = 3
8.Divide $70 in the ratio 5 : 5.
Answer: $35 and $35
- Total parts: 5 + 5 = 10
- One part: 70 ÷ 10 = 7
- 5 × 7 = 35 and 5 × 7 = 35
9.Divide $12 in the ratio 1 : 2.
Answer: $4 and $8
- Total parts: 1 + 2 = 3
- One part: 12 ÷ 3 = 4
- 1 × 4 = 4 and 2 × 4 = 8
10.Divide $49 in the ratio 3 : 4.
Answer: $21 and $28
- Total parts: 3 + 4 = 7
- One part: 49 ÷ 7 = 7
- 3 × 7 = 21 and 4 × 7 = 28
11.Divide $42 in the ratio 5 : 2.
Answer: $30 and $12
- Total parts: 5 + 2 = 7
- One part: 42 ÷ 7 = 6
- 5 × 6 = 30 and 2 × 6 = 12
12.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
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.