9th Grade Ratio Worksheet — Level 3 — 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 3 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 45 : 54
Answer: 5 : 6
- HCF of 45 and 54 is 9
- Divide both parts by 9
2.Simplify the ratio 42 : 49
Answer: 6 : 7
- HCF of 42 and 49 is 7
- Divide both parts by 7
3.Simplify the ratio 42 : 36
Answer: 7 : 6
- HCF of 42 and 36 is 6
- Divide both parts by 6
4.Simplify the ratio 15 : 12
Answer: 5 : 4
- HCF of 15 and 12 is 3
- Divide both parts by 3
5.Simplify the ratio 14 : 12
Answer: 7 : 6
- HCF of 14 and 12 is 2
- Divide both parts by 2
6.Simplify the ratio 21 : 12
Answer: 7 : 4
- HCF of 21 and 12 is 3
- Divide both parts by 3
Part B: Divide in a ratio
7.Divide $32 in the ratio 3 : 5.
Answer: $12 and $20
- Total parts: 3 + 5 = 8
- One part: 32 ÷ 8 = 4
- 3 × 4 = 12 and 5 × 4 = 20
8.Divide $21 in the ratio 3 : 4.
Answer: $9 and $12
- Total parts: 3 + 4 = 7
- One part: 21 ÷ 7 = 3
- 3 × 3 = 9 and 4 × 3 = 12
9.Divide $63 in the ratio 2 : 5.
Answer: $18 and $45
- Total parts: 2 + 5 = 7
- One part: 63 ÷ 7 = 9
- 2 × 9 = 18 and 5 × 9 = 45
10.Divide $4 in the ratio 1 : 1.
Answer: $2 and $2
- Total parts: 1 + 1 = 2
- One part: 4 ÷ 2 = 2
- 1 × 2 = 2 and 1 × 2 = 2
11.Divide $208 in the ratio 5 : 3.
Answer: $130 and $78
- Total parts: 5 + 3 = 8
- One part: 208 ÷ 8 = 26
- 5 × 26 = 130 and 3 × 26 = 78
12.Divide $92 in the ratio 2 : 2.
Answer: $46 and $46
- Total parts: 2 + 2 = 4
- One part: 92 ÷ 4 = 23
- 2 × 23 = 46 and 2 × 23 = 46
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.