Year 10 Surds Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 10 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Indices & Scientific NotationYear 10 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 √12.
Answer: 2√3
- 12 = 4 × 3
- √12 = √4 × √3 = 2√3
2.Simplify √48.
Answer: 4√3
- 48 = 16 × 3
- √48 = √16 × √3 = 4√3
3.Simplify √208.
Answer: 4√13
- 208 = 16 × 13
- √208 = √16 × √13 = 4√13
4.Simplify √20.
Answer: 2√5
- 20 = 4 × 5
- √20 = √4 × √5 = 2√5
5.Simplify √150.
Answer: 5√6
- 150 = 25 × 6
- √150 = √25 × √6 = 5√6
6.Simplify √540.
Answer: 6√15
- 540 = 36 × 15
- √540 = √36 × √15 = 6√15
7.Simplify √350.
Answer: 5√14
- 350 = 25 × 14
- √350 = √25 × √14 = 5√14
8.Simplify √50.
Answer: 5√2
- 50 = 25 × 2
- √50 = √25 × √2 = 5√2
9.Simplify √72.
Answer: 6√2
- 72 = 36 × 2
- √72 = √36 × √2 = 6√2
10.Simplify √135.
Answer: 3√15
- 135 = 9 × 15
- √135 = √9 × √15 = 3√15
11.Simplify √250.
Answer: 5√10
- 250 = 25 × 10
- √250 = √25 × √10 = 5√10
12.Simplify √275.
Answer: 5√11
- 275 = 25 × 11
- √275 = √25 × √11 = 5√11
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.