Year 10 Index Laws 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 Index Laws Worksheet — Level 1 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x11 ÷ x3
Answer: x8
Subtract the indices: 11 − 3 = 8
2.Simplify: x7 ÷ x4
Answer: x3
Subtract the indices: 7 − 4 = 3
3.Simplify: x9 × x7
Answer: x16
Add the indices: 9 + 7 = 16
4.Simplify: x10 ÷ x8
Answer: x2
Subtract the indices: 10 − 8 = 2
5.Simplify: x8 × x6
Answer: x14
Add the indices: 8 + 6 = 14
6.Simplify: x3 × x4
Answer: x7
Add the indices: 3 + 4 = 7
7.Simplify: x9 ÷ x6
Answer: x3
Subtract the indices: 9 − 6 = 3
8.Simplify: x11 ÷ x9
Answer: x2
Subtract the indices: 11 − 9 = 2
9.Simplify: x5 × x2
Answer: x7
Add the indices: 5 + 2 = 7
10.Simplify: x7 ÷ x2
Answer: x5
Subtract the indices: 7 − 2 = 5
11.Simplify: x3 ÷ x2
Answer: x1
Subtract the indices: 3 − 2 = 1
12.Simplify: x5 ÷ x3
Answer: x2
Subtract the indices: 5 − 3 = 2
13.Simplify: x4 × x2
Answer: x6
Add the indices: 4 + 2 = 6
14.Simplify: x9 × x6
Answer: x15
Add the indices: 9 + 6 = 15
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.