Success TutoringWorksheets

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 Notation

Year 10 Index Laws Worksheet — Level 1 — Answers

Use the index laws. Write answers with positive indices.

1.Simplify: x11 ÷ x7

Answer: x4

Subtract the indices: 11 − 7 = 4

2.Simplify: x6 × x2

Answer: x8

Add the indices: 6 + 2 = 8

3.Simplify: x9 × x6

Answer: x15

Add the indices: 9 + 6 = 15

4.Simplify: x13 ÷ x5

Answer: x8

Subtract the indices: 13 − 5 = 8

5.Simplify: x4 × x8

Answer: x12

Add the indices: 4 + 8 = 12

6.Simplify: x8 × x7

Answer: x15

Add the indices: 8 + 7 = 15

7.Simplify: x11 ÷ x5

Answer: x6

Subtract the indices: 11 − 5 = 6

8.Simplify: x10 ÷ x9

Answer: x1

Subtract the indices: 10 − 9 = 1

9.Simplify: x3 × x9

Answer: x12

Add the indices: 3 + 9 = 12

10.Simplify: x11 ÷ x8

Answer: x3

Subtract the indices: 11 − 8 = 3

11.Simplify: x12 ÷ x9

Answer: x3

Subtract the indices: 12 − 9 = 3

12.Simplify: x6 ÷ x5

Answer: x1

Subtract the indices: 6 − 5 = 1

13.Simplify: x12 ÷ x3

Answer: x9

Subtract the indices: 12 − 3 = 9

14.Simplify: x8 × x3

Answer: x11

Add the indices: 8 + 3 = 11

Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

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.