9th Grade Ratio Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 9th Grade ratios & rates worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Ratio & Rates9th Grade Ratio Worksheet — Level 2 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 48 : 84
Answer: 4 : 7
- HCF of 48 and 84 is 12
- Divide both parts by 12
2.Simplify the ratio 72 : 16
Answer: 9 : 2
- HCF of 72 and 16 is 8
- Divide both parts by 8
3.Simplify the ratio 42 : 30
Answer: 7 : 5
- HCF of 42 and 30 is 6
- Divide both parts by 6
4.Simplify the ratio 36 : 48
Answer: 3 : 4
- HCF of 36 and 48 is 12
- Divide both parts by 12
5.Simplify the ratio 90 : 50
Answer: 9 : 5
- HCF of 90 and 50 is 10
- Divide both parts by 10
6.Simplify the ratio 90 : 80
Answer: 9 : 8
- HCF of 90 and 80 is 10
- Divide both parts by 10
Part B: Divide in a ratio
7.Divide $66 in the ratio 3 : 3.
Answer: $33 and $33
- Total parts: 3 + 3 = 6
- One part: 66 ÷ 6 = 11
- 3 × 11 = 33 and 3 × 11 = 33
8.Divide $12 in the ratio 2 : 4.
Answer: $4 and $8
- Total parts: 2 + 4 = 6
- One part: 12 ÷ 6 = 2
- 2 × 2 = 4 and 4 × 2 = 8
9.Divide $36 in the ratio 4 : 2.
Answer: $24 and $12
- Total parts: 4 + 2 = 6
- One part: 36 ÷ 6 = 6
- 4 × 6 = 24 and 2 × 6 = 12
10.Divide $14 in the ratio 2 : 5.
Answer: $4 and $10
- Total parts: 2 + 5 = 7
- One part: 14 ÷ 7 = 2
- 2 × 2 = 4 and 5 × 2 = 10
11.Divide $24 in the ratio 1 : 2.
Answer: $8 and $16
- Total parts: 1 + 2 = 3
- One part: 24 ÷ 3 = 8
- 1 × 8 = 8 and 2 × 8 = 16
12.Divide $55 in the ratio 3 : 2.
Answer: $33 and $22
- Total parts: 3 + 2 = 5
- One part: 55 ÷ 5 = 11
- 3 × 11 = 33 and 2 × 11 = 22
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.