9th Grade Ratio Worksheet — Level 1 — 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 1 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 24 : 15
Answer: 8 : 5
- HCF of 24 and 15 is 3
- Divide both parts by 3
2.Simplify the ratio 14 : 8
Answer: 7 : 4
- HCF of 14 and 8 is 2
- Divide both parts by 2
3.Simplify the ratio 8 : 8
Answer: 1 : 1
- HCF of 8 and 8 is 8
- Divide both parts by 8
4.Simplify the ratio 4 : 32
Answer: 1 : 8
- HCF of 4 and 32 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 18 : 16
Answer: 9 : 8
- HCF of 18 and 16 is 2
- Divide both parts by 2
Part B: Divide in a ratio
7.Divide $77 in the ratio 5 : 2.
Answer: $55 and $22
- Total parts: 5 + 2 = 7
- One part: 77 ÷ 7 = 11
- 5 × 11 = 55 and 2 × 11 = 22
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 $54 in the ratio 4 : 2.
Answer: $36 and $18
- Total parts: 4 + 2 = 6
- One part: 54 ÷ 6 = 9
- 4 × 9 = 36 and 2 × 9 = 18
10.Divide $88 in the ratio 4 : 4.
Answer: $44 and $44
- Total parts: 4 + 4 = 8
- One part: 88 ÷ 8 = 11
- 4 × 11 = 44 and 4 × 11 = 44
11.Divide $35 in the ratio 5 : 2.
Answer: $25 and $10
- Total parts: 5 + 2 = 7
- One part: 35 ÷ 7 = 5
- 5 × 5 = 25 and 2 × 5 = 10
12.Divide $72 in the ratio 4 : 2.
Answer: $48 and $24
- Total parts: 4 + 2 = 6
- One part: 72 ÷ 6 = 12
- 4 × 12 = 48 and 2 × 12 = 24
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.