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WorksheetYear 11Level 3 · Challenge

Free Year 11 Index Laws Worksheet — Level 3

Multiply and divide powers, raise a power to a power, and use zero and negative indices. A challenge set for students ready to stretch further. This Year 11 worksheet has 14 questions and comes with a full answer sheet showing the working for every question.

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Year
Year 11
Subject
Mathematics
Topic
Indices & Scientific Notation
Difficulty
Level 3 · Challenge
Estimated time
15 minutes
Curriculum
New Zealand Curriculum
Questions
14
Answers
Included, with working
Format
PDF (A4) + print

Students will practise

  • multiplying and dividing powers with the same base
  • raising a power to a power
  • using zero and negative indices

Curriculum: New Zealand Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Year 11 Index Laws Worksheet — Level 3

More resources for this topic are coming soon.

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

Year 11 students (typically ages 15–16) working on indices & scientific notation. It is pitched at level 3 · challenge.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 15 minutes for 14 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Explore more Year 11 mathematics resources.

Preview

Year 11 · Mathematics · Indices & Scientific Notation

Year 11 Index Laws Worksheet — Level 3

Success Tutoring

Student name:

Date:

Score: /

Use the index laws. Write answers with positive indices.

1.Evaluate: 50
2.Simplify: (x5)5
3.Write 5−1 as a fraction.
4.Simplify: (x8)3
5.Simplify: (x6)4
6.Write 2−3 as a fraction.
7.Simplify: 4x7 × 2x3
8.Evaluate: 30
9.Simplify: 5x3 × 4x9
10.Simplify: 6x9 × 3x9
11.Simplify: 5x2 × 5x4
12.Simplify: 2x5 × 5x9
13.Simplify: 4x8 × 2x3
14.Simplify: 2x7 × 3x9
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Preview — the PDF contains the full resource and answer sheet.

Indices & Scientific Notation in other year levels

About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.