Year 10 Surds Worksheet — Level 1 — Practice Set 2 — 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 — Practice Set 2 — Answers
Write each answer in simplest surd form: √a × √b = √(ab), and look for square factors (4, 9, 16, 25, 36…).
1.Simplify √48.
Answer: 4√3
- 48 = 16 × 3
- √48 = √16 × √3 = 4√3
2.Simplify √216.
Answer: 6√6
- 216 = 36 × 6
- √216 = √36 × √6 = 6√6
3.Simplify √224.
Answer: 4√14
- 224 = 16 × 14
- √224 = √16 × √14 = 4√14
4.Simplify √108.
Answer: 6√3
- 108 = 36 × 3
- √108 = √36 × √3 = 6√3
5.Simplify √50.
Answer: 5√2
- 50 = 25 × 2
- √50 = √25 × √2 = 5√2
6.Simplify √45.
Answer: 3√5
- 45 = 9 × 5
- √45 = √9 × √5 = 3√5
7.Simplify √72.
Answer: 6√2
- 72 = 36 × 2
- √72 = √36 × √2 = 6√2
8.Simplify √96.
Answer: 4√6
- 96 = 16 × 6
- √96 = √16 × √6 = 4√6
9.Simplify √80.
Answer: 4√5
- 80 = 16 × 5
- √80 = √16 × √5 = 4√5
10.Simplify √360.
Answer: 6√10
- 360 = 36 × 10
- √360 = √36 × √10 = 6√10
11.Simplify √20.
Answer: 2√5
- 20 = 4 × 5
- √20 = √4 × √5 = 2√5
12.Simplify √52.
Answer: 2√13
- 52 = 4 × 13
- √52 = √4 × √13 = 2√13
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.