9th Grade Ratio Worksheet — Level 2 — Practice Set 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 2 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 3 : 24
Answer: 1 : 8
- HCF of 3 and 24 is 3
- Divide both parts by 3
2.Simplify the ratio 24 : 32
Answer: 3 : 4
- HCF of 24 and 32 is 8
- Divide both parts by 8
3.Simplify the ratio 42 : 42
Answer: 1 : 1
- HCF of 42 and 42 is 42
- Divide both parts by 42
4.Simplify the ratio 6 : 8
Answer: 3 : 4
- HCF of 6 and 8 is 2
- Divide both parts by 2
5.Simplify the ratio 63 : 63
Answer: 1 : 1
- HCF of 63 and 63 is 63
- Divide both parts by 63
6.Simplify the ratio 56 : 28
Answer: 2 : 1
- HCF of 56 and 28 is 28
- Divide both parts by 28
Part B: Divide in a ratio
7.Divide $20 in the ratio 2 : 3.
Answer: $8 and $12
- Total parts: 2 + 3 = 5
- One part: 20 ÷ 5 = 4
- 2 × 4 = 8 and 3 × 4 = 12
8.Divide $50 in the ratio 3 : 2.
Answer: $30 and $20
- Total parts: 3 + 2 = 5
- One part: 50 ÷ 5 = 10
- 3 × 10 = 30 and 2 × 10 = 20
9.Divide $42 in the ratio 1 : 5.
Answer: $7 and $35
- Total parts: 1 + 5 = 6
- One part: 42 ÷ 6 = 7
- 1 × 7 = 7 and 5 × 7 = 35
10.Divide $35 in the ratio 3 : 4.
Answer: $15 and $20
- Total parts: 3 + 4 = 7
- One part: 35 ÷ 7 = 5
- 3 × 5 = 15 and 4 × 5 = 20
11.Divide $9 in the ratio 2 : 1.
Answer: $6 and $3
- Total parts: 2 + 1 = 3
- One part: 9 ÷ 3 = 3
- 2 × 3 = 6 and 1 × 3 = 3
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.