Year 8 Ratio Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 8 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Ratio & RatesYear 8 Ratio Worksheet — Level 3 — Answers
Part A: Simplify
1.Simplify the ratio 35 : 20
Answer: 7 : 4
- HCF of 35 and 20 is 5
- Divide both parts by 5
2.Simplify the ratio 77 : 22
Answer: 7 : 2
- HCF of 77 and 22 is 11
- Divide both parts by 11
3.Simplify the ratio 21 : 42
Answer: 1 : 2
- HCF of 21 and 42 is 21
- Divide both parts by 21
4.Simplify the ratio 56 : 21
Answer: 8 : 3
- HCF of 56 and 21 is 7
- Divide both parts by 7
5.Simplify the ratio 5 : 40
Answer: 1 : 8
- HCF of 5 and 40 is 5
- Divide both parts by 5
6.Simplify the ratio 56 : 49
Answer: 8 : 7
- HCF of 56 and 49 is 7
- Divide both parts by 7
Part B: Divide in a ratio
7.Divide $185 in the ratio 2 : 3.
Answer: $74 and $111
- Total parts: 2 + 3 = 5
- One part: 185 ÷ 5 = 37
- 2 × 37 = 74 and 3 × 37 = 111
8.Divide $6 in the ratio 1 : 2.
Answer: $2 and $4
- Total parts: 1 + 2 = 3
- One part: 6 ÷ 3 = 2
- 1 × 2 = 2 and 2 × 2 = 4
9.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
10.Divide $15 in the ratio 4 : 1.
Answer: $12 and $3
- Total parts: 4 + 1 = 5
- One part: 15 ÷ 5 = 3
- 4 × 3 = 12 and 1 × 3 = 3
11.Divide $320 in the ratio 4 : 4.
Answer: $160 and $160
- Total parts: 4 + 4 = 8
- One part: 320 ÷ 8 = 40
- 4 × 40 = 160 and 4 × 40 = 160
12.Divide $250 in the ratio 5 : 5.
Answer: $125 and $125
- Total parts: 5 + 5 = 10
- One part: 250 ÷ 10 = 25
- 5 × 25 = 125 and 5 × 25 = 125
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.