9th Grade Ratio Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Part A: Simplify
1.Simplify the ratio 24 : 28
Answer: 6 : 7
- HCF of 24 and 28 is 4
- Divide both parts by 4
2.Simplify the ratio 18 : 14
Answer: 9 : 7
- HCF of 18 and 14 is 2
- Divide both parts by 2
3.Simplify the ratio 24 : 24
Answer: 1 : 1
- HCF of 24 and 24 is 24
- Divide both parts by 24
4.Simplify the ratio 36 : 8
Answer: 9 : 2
- HCF of 36 and 8 is 4
- Divide both parts by 4
5.Simplify the ratio 16 : 4
Answer: 4 : 1
- HCF of 16 and 4 is 4
- Divide both parts by 4
6.Simplify the ratio 20 : 20
Answer: 1 : 1
- HCF of 20 and 20 is 20
- Divide both parts by 20
Part B: Divide in a ratio
7.Divide $84 in the ratio 2 : 5.
Answer: $24 and $60
- Total parts: 2 + 5 = 7
- One part: 84 ÷ 7 = 12
- 2 × 12 = 24 and 5 × 12 = 60
8.Divide $50 in the ratio 4 : 1.
Answer: $40 and $10
- Total parts: 4 + 1 = 5
- One part: 50 ÷ 5 = 10
- 4 × 10 = 40 and 1 × 10 = 10
9.Divide $18 in the ratio 4 : 5.
Answer: $8 and $10
- Total parts: 4 + 5 = 9
- One part: 18 ÷ 9 = 2
- 4 × 2 = 8 and 5 × 2 = 10
10.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
11.Divide $18 in the ratio 2 : 4.
Answer: $6 and $12
- Total parts: 2 + 4 = 6
- One part: 18 ÷ 6 = 3
- 2 × 3 = 6 and 4 × 3 = 12
12.Divide $32 in the ratio 2 : 2.
Answer: $16 and $16
- Total parts: 2 + 2 = 4
- One part: 32 ÷ 4 = 8
- 2 × 8 = 16 and 2 × 8 = 16
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.