9th Grade Ratio Worksheet — Level 3 — 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 3 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 50 : 10
Answer: 5 : 1
- HCF of 50 and 10 is 10
- Divide both parts by 10
2.Simplify the ratio 54 : 30
Answer: 9 : 5
- HCF of 54 and 30 is 6
- Divide both parts by 6
3.Simplify the ratio 88 : 44
Answer: 2 : 1
- HCF of 88 and 44 is 44
- Divide both parts by 44
4.Simplify the ratio 33 : 11
Answer: 3 : 1
- HCF of 33 and 11 is 11
- Divide both parts by 11
5.Simplify the ratio 9 : 6
Answer: 3 : 2
- HCF of 9 and 6 is 3
- Divide both parts by 3
6.Simplify the ratio 24 : 12
Answer: 2 : 1
- HCF of 24 and 12 is 12
- Divide both parts by 12
Part B: Divide in a ratio
7.Divide $36 in the ratio 5 : 1.
Answer: $30 and $6
- Total parts: 5 + 1 = 6
- One part: 36 ÷ 6 = 6
- 5 × 6 = 30 and 1 × 6 = 6
8.Divide $126 in the ratio 4 : 5.
Answer: $56 and $70
- Total parts: 4 + 5 = 9
- One part: 126 ÷ 9 = 14
- 4 × 14 = 56 and 5 × 14 = 70
9.Divide $39 in the ratio 1 : 2.
Answer: $13 and $26
- Total parts: 1 + 2 = 3
- One part: 39 ÷ 3 = 13
- 1 × 13 = 13 and 2 × 13 = 26
10.Divide $168 in the ratio 4 : 2.
Answer: $112 and $56
- Total parts: 4 + 2 = 6
- One part: 168 ÷ 6 = 28
- 4 × 28 = 112 and 2 × 28 = 56
11.Divide $125 in the ratio 1 : 4.
Answer: $25 and $100
- Total parts: 1 + 4 = 5
- One part: 125 ÷ 5 = 25
- 1 × 25 = 25 and 4 × 25 = 100
12.Divide $12 in the ratio 1 : 2.
Answer: $4 and $8
- Total parts: 1 + 2 = 3
- One part: 12 ÷ 3 = 4
- 1 × 4 = 4 and 2 × 4 = 8
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.