9th Grade Ratio Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 9th Grade ratios & rates worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Ratio & Rates9th Grade Ratio Worksheet — Level 3 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 36 : 24
Answer: 3 : 2
- HCF of 36 and 24 is 12
- Divide both parts by 12
2.Simplify the ratio 12 : 9
Answer: 4 : 3
- HCF of 12 and 9 is 3
- Divide both parts by 3
3.Simplify the ratio 11 : 11
Answer: 1 : 1
- HCF of 11 and 11 is 11
- Divide both parts by 11
4.Simplify the ratio 24 : 20
Answer: 6 : 5
- HCF of 24 and 20 is 4
- Divide both parts by 4
5.Simplify the ratio 63 : 9
Answer: 7 : 1
- HCF of 63 and 9 is 9
- Divide both parts by 9
6.Simplify the ratio 14 : 49
Answer: 2 : 7
- HCF of 14 and 49 is 7
- Divide both parts by 7
Part B: Divide in a ratio
7.Divide $170 in the ratio 4 : 1.
Answer: $136 and $34
- Total parts: 4 + 1 = 5
- One part: 170 ÷ 5 = 34
- 4 × 34 = 136 and 1 × 34 = 34
8.Divide $44 in the ratio 1 : 3.
Answer: $11 and $33
- Total parts: 1 + 3 = 4
- One part: 44 ÷ 4 = 11
- 1 × 11 = 11 and 3 × 11 = 33
9.Divide $170 in the ratio 2 : 3.
Answer: $68 and $102
- Total parts: 2 + 3 = 5
- One part: 170 ÷ 5 = 34
- 2 × 34 = 68 and 3 × 34 = 102
10.Divide $150 in the ratio 4 : 2.
Answer: $100 and $50
- Total parts: 4 + 2 = 6
- One part: 150 ÷ 6 = 25
- 4 × 25 = 100 and 2 × 25 = 50
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 $280 in the ratio 2 : 5.
Answer: $80 and $200
- Total parts: 2 + 5 = 7
- One part: 280 ÷ 7 = 40
- 2 × 40 = 80 and 5 × 40 = 200
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.