9th Grade Ratio Worksheet — Level 1 — 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 1 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 12 : 16
Answer: 3 : 4
- HCF of 12 and 16 is 4
- Divide both parts by 4
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 36 : 12
Answer: 3 : 1
- HCF of 36 and 12 is 12
- Divide both parts by 12
4.Simplify the ratio 16 : 18
Answer: 8 : 9
- HCF of 16 and 18 is 2
- Divide both parts by 2
5.Simplify the ratio 32 : 28
Answer: 8 : 7
- HCF of 32 and 28 is 4
- Divide both parts by 4
6.Simplify the ratio 15 : 15
Answer: 1 : 1
- HCF of 15 and 15 is 15
- Divide both parts by 15
Part B: Divide in a ratio
7.Divide $15 in the ratio 1 : 2.
Answer: $5 and $10
- Total parts: 1 + 2 = 3
- One part: 15 ÷ 3 = 5
- 1 × 5 = 5 and 2 × 5 = 10
8.Divide $63 in the ratio 4 : 5.
Answer: $28 and $35
- Total parts: 4 + 5 = 9
- One part: 63 ÷ 9 = 7
- 4 × 7 = 28 and 5 × 7 = 35
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 $25 in the ratio 4 : 1.
Answer: $20 and $5
- Total parts: 4 + 1 = 5
- One part: 25 ÷ 5 = 5
- 4 × 5 = 20 and 1 × 5 = 5
11.Divide $30 in the ratio 1 : 2.
Answer: $10 and $20
- Total parts: 1 + 2 = 3
- One part: 30 ÷ 3 = 10
- 1 × 10 = 10 and 2 × 10 = 20
12.Divide $36 in the ratio 2 : 2.
Answer: $18 and $18
- Total parts: 2 + 2 = 4
- One part: 36 ÷ 4 = 9
- 2 × 9 = 18 and 2 × 9 = 18
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.