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 48 : 96
Answer: 1 : 2
- HCF of 48 and 96 is 48
- Divide both parts by 48
2.Simplify the ratio 35 : 35
Answer: 1 : 1
- HCF of 35 and 35 is 35
- Divide both parts by 35
3.Simplify the ratio 40 : 40
Answer: 1 : 1
- HCF of 40 and 40 is 40
- Divide both parts by 40
4.Simplify the ratio 15 : 3
Answer: 5 : 1
- HCF of 15 and 3 is 3
- Divide both parts by 3
5.Simplify the ratio 50 : 90
Answer: 5 : 9
- HCF of 50 and 90 is 10
- Divide both parts by 10
6.Simplify the ratio 9 : 27
Answer: 1 : 3
- HCF of 9 and 27 is 9
- Divide both parts by 9
Part B: Divide in a ratio
7.Divide $75 in the ratio 2 : 3.
Answer: $30 and $45
- Total parts: 2 + 3 = 5
- One part: 75 ÷ 5 = 15
- 2 × 15 = 30 and 3 × 15 = 45
8.Divide $24 in the ratio 2 : 2.
Answer: $12 and $12
- Total parts: 2 + 2 = 4
- One part: 24 ÷ 4 = 6
- 2 × 6 = 12 and 2 × 6 = 12
9.Divide $162 in the ratio 5 : 1.
Answer: $135 and $27
- Total parts: 5 + 1 = 6
- One part: 162 ÷ 6 = 27
- 5 × 27 = 135 and 1 × 27 = 27
10.Divide $240 in the ratio 5 : 1.
Answer: $200 and $40
- Total parts: 5 + 1 = 6
- One part: 240 ÷ 6 = 40
- 5 × 40 = 200 and 1 × 40 = 40
11.Divide $312 in the ratio 4 : 4.
Answer: $156 and $156
- Total parts: 4 + 4 = 8
- One part: 312 ÷ 8 = 39
- 4 × 39 = 156 and 4 × 39 = 156
12.Divide $259 in the ratio 4 : 3.
Answer: $148 and $111
- Total parts: 4 + 3 = 7
- One part: 259 ÷ 7 = 37
- 4 × 37 = 148 and 3 × 37 = 111
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.