Year 9 Ratio Worksheet — Level 3 — 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 3 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 11 : 33
Answer: 1 : 3
- HCF of 11 and 33 is 11
- Divide both parts by 11
2.Simplify the ratio 27 : 27
Answer: 1 : 1
- HCF of 27 and 27 is 27
- Divide both parts by 27
3.Simplify the ratio 24 : 21
Answer: 8 : 7
- HCF of 24 and 21 is 3
- Divide both parts by 3
4.Simplify the ratio 48 : 48
Answer: 1 : 1
- HCF of 48 and 48 is 48
- Divide both parts by 48
5.Simplify the ratio 66 : 77
Answer: 6 : 7
- HCF of 66 and 77 is 11
- Divide both parts by 11
6.Simplify the ratio 9 : 24
Answer: 3 : 8
- HCF of 9 and 24 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $35 in the ratio 4 : 3.
Answer: $20 and $15
- Total parts: 4 + 3 = 7
- One part: 35 ÷ 7 = 5
- 4 × 5 = 20 and 3 × 5 = 15
8.Divide $66 in the ratio 1 : 2.
Answer: $22 and $44
- Total parts: 1 + 2 = 3
- One part: 66 ÷ 3 = 22
- 1 × 22 = 22 and 2 × 22 = 44
9.Divide $100 in the ratio 3 : 1.
Answer: $75 and $25
- Total parts: 3 + 1 = 4
- One part: 100 ÷ 4 = 25
- 3 × 25 = 75 and 1 × 25 = 25
10.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
11.Divide $234 in the ratio 2 : 4.
Answer: $78 and $156
- Total parts: 2 + 4 = 6
- One part: 234 ÷ 6 = 39
- 2 × 39 = 78 and 4 × 39 = 156
12.Divide $180 in the ratio 1 : 4.
Answer: $36 and $144
- Total parts: 1 + 4 = 5
- One part: 180 ÷ 5 = 36
- 1 × 36 = 36 and 4 × 36 = 144
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.