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Free Year 8 Indices & Scientific Notation Worksheets

4 free indices & scientific notation resources for Year 8: 3 worksheets, 1 study guide. Answers included.

Index laws, powers, roots and scientific notation. In Year 8, Year 8 extends algebra to expanding brackets and two-step equations, adds percentages increase and decrease, ratio and rates, index laws and congruence.

Students will practise: understanding base and index notation; understanding and applying the multiplication, division and power-of-a-power laws; understanding why any non-zero number to the power of zero equals 1; simplifying algebraic terms with coefficients and indices; multiplying and dividing powers with the same base; raising a power to a power; simplifying index expressions; using zero and negative indices.

Recommended learning path

  1. 1Index Laws Cheat Sheet
  2. 2Year 8 Index Laws Worksheet — Level 2
  3. 3Year 8 Index Laws Worksheet — Level 3
  4. 4Year 8 Scientific Notation Worksheet — Level 1
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 8 Index Laws Worksheet — Level 2

    Multiply and divide powers, raise a power to a power, and use zero and negative indices. Expected-level practice for this year group. This…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    14 questions
    Answers
    Answers included
  • Worksheet

    Year 8 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…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    14 questions
    Answers
    Answers included
  • Worksheet

    Year 8 Scientific Notation Worksheet — Level 1

    Convert between ordinary numbers and scientific notation. Builds confidence with the core skill before adding complexity. This Year 8…

    Difficulty
    Level 1 · Easier
    Time
    10 min
    Questions
    12 questions
    Answers
    Answers included

Cheat Sheets

Formulas and rules at a glance.

  • Cheat Sheet

    Index Laws Cheat Sheet

    A one-page reference for the Year 8 index laws: multiplying and dividing powers with the same base, raising a power to a power, the zero…

    Difficulty
    Level 2 · Standard
    Time
    15 min

Common questions

What do Year 8 students learn about indices & scientific notation?

Index laws, powers, roots and scientific notation. At Year 8, our resources focus on: understanding base and index notation; understanding and applying the multiplication, division and power-of-a-power laws; understanding why any non-zero number to the power of zero equals 1; simplifying algebraic terms with coefficients and indices.

Where should we start?

Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

Need something specific?

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