Year 11 Surds Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 11 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Indices & Scientific NotationYear 11 Surds Worksheet — Level 1 — Practice Set 3 — Answers
Write each answer in simplest surd form: √a × √b = √(ab), and look for square factors (4, 9, 16, 25, 36…).
1.Simplify √90.
Answer: 3√10
- 90 = 9 × 10
- √90 = √9 × √10 = 3√10
2.Simplify √504.
Answer: 6√14
- 504 = 36 × 14
- √504 = √36 × √14 = 6√14
3.Simplify √40.
Answer: 2√10
- 40 = 4 × 10
- √40 = √4 × √10 = 2√10
4.Simplify √63.
Answer: 3√7
- 63 = 9 × 7
- √63 = √9 × √7 = 3√7
5.Simplify √125.
Answer: 5√5
- 125 = 25 × 5
- √125 = √25 × √5 = 5√5
6.Simplify √72.
Answer: 6√2
- 72 = 36 × 2
- √72 = √36 × √2 = 6√2
7.Simplify √50.
Answer: 5√2
- 50 = 25 × 2
- √50 = √25 × √2 = 5√2
8.Simplify √224.
Answer: 4√14
- 224 = 16 × 14
- √224 = √16 × √14 = 4√14
9.Simplify √112.
Answer: 4√7
- 112 = 16 × 7
- √112 = √16 × √7 = 4√7
10.Simplify √12.
Answer: 2√3
- 12 = 4 × 3
- √12 = √4 × √3 = 2√3
11.Simplify √54.
Answer: 3√6
- 54 = 9 × 6
- √54 = √9 × √6 = 3√6
12.Simplify √360.
Answer: 6√10
- 360 = 36 × 10
- √360 = √36 × √10 = 6√10
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.