Year 9 Surds Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 9 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Indices & Scientific NotationYear 9 Surds Worksheet — Level 1 — Answers
Write each answer in simplest surd form: √a × √b = √(ab), and look for square factors (4, 9, 16, 25, 36…).
1.Simplify √44.
Answer: 2√11
- 44 = 4 × 11
- √44 = √4 × √11 = 2√11
2.Simplify √350.
Answer: 5√14
- 350 = 25 × 14
- √350 = √25 × √14 = 5√14
3.Simplify √108.
Answer: 6√3
- 108 = 36 × 3
- √108 = √36 × √3 = 6√3
4.Simplify √80.
Answer: 4√5
- 80 = 16 × 5
- √80 = √16 × √5 = 4√5
5.Simplify √112.
Answer: 4√7
- 112 = 16 × 7
- √112 = √16 × √7 = 4√7
6.Simplify √250.
Answer: 5√10
- 250 = 25 × 10
- √250 = √25 × √10 = 5√10
7.Simplify √75.
Answer: 5√3
- 75 = 25 × 3
- √75 = √25 × √3 = 5√3
8.Simplify √63.
Answer: 3√7
- 63 = 9 × 7
- √63 = √9 × √7 = 3√7
9.Simplify √504.
Answer: 6√14
- 504 = 36 × 14
- √504 = √36 × √14 = 6√14
10.Simplify √72.
Answer: 6√2
- 72 = 36 × 2
- √72 = √36 × √2 = 6√2
11.Simplify √125.
Answer: 5√5
- 125 = 25 × 5
- √125 = √25 × √5 = 5√5
12.Simplify √18.
Answer: 3√2
- 18 = 9 × 2
- √18 = √9 × √2 = 3√2
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.