9th Grade Ratio Worksheet — Level 3 — 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 — Answers
Part A: Simplify
1.Simplify the ratio 70 : 20
Answer: 7 : 2
- HCF of 70 and 20 is 10
- Divide both parts by 10
2.Simplify the ratio 16 : 72
Answer: 2 : 9
- HCF of 16 and 72 is 8
- Divide both parts by 8
3.Simplify the ratio 24 : 36
Answer: 2 : 3
- HCF of 24 and 36 is 12
- Divide both parts by 12
4.Simplify the ratio 60 : 60
Answer: 1 : 1
- HCF of 60 and 60 is 60
- Divide both parts by 60
5.Simplify the ratio 14 : 10
Answer: 7 : 5
- HCF of 14 and 10 is 2
- Divide both parts by 2
6.Simplify the ratio 7 : 42
Answer: 1 : 6
- HCF of 7 and 42 is 7
- Divide both parts by 7
Part B: Divide in a ratio
7.Divide $136 in the ratio 5 : 3.
Answer: $85 and $51
- Total parts: 5 + 3 = 8
- One part: 136 ÷ 8 = 17
- 5 × 17 = 85 and 3 × 17 = 51
8.Divide $128 in the ratio 5 : 3.
Answer: $80 and $48
- Total parts: 5 + 3 = 8
- One part: 128 ÷ 8 = 16
- 5 × 16 = 80 and 3 × 16 = 48
9.Divide $56 in the ratio 1 : 3.
Answer: $14 and $42
- Total parts: 1 + 3 = 4
- One part: 56 ÷ 4 = 14
- 1 × 14 = 14 and 3 × 14 = 42
10.Divide $24 in the ratio 4 : 2.
Answer: $16 and $8
- Total parts: 4 + 2 = 6
- One part: 24 ÷ 6 = 4
- 4 × 4 = 16 and 2 × 4 = 8
11.Divide $288 in the ratio 3 : 5.
Answer: $108 and $180
- Total parts: 3 + 5 = 8
- One part: 288 ÷ 8 = 36
- 3 × 36 = 108 and 5 × 36 = 180
12.Divide $132 in the ratio 3 : 3.
Answer: $66 and $66
- Total parts: 3 + 3 = 6
- One part: 132 ÷ 6 = 22
- 3 × 22 = 66 and 3 × 22 = 66
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.