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Expanding and factorising

Algebraic Index Laws

Q: What are the common mistakes in Algebraic Index Laws?

Adds index instead of multiplying Raises only the variable to the power, forgetting to also raise the coefficient Adds powers instead of subtracting

45 self-marking GCSE and IGCSE practice questions on Algebraic Index Laws, written specifically for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Extended tier. Instant marking with full worked solutions on every question.

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Sample Algebraic Index Laws questions

A few of the 45 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 12 marksGrade 3
Martina has answered a question on algebra and made an error. Simplify $2a \times a \times a$ . Martina's answer: $4a$ . Describe her error and give the correct answer.
Show the worked solution
Martina appears to have added the terms (2a + a + a = 4a) instead of multiplying them. A1
Correctly multiplying: 2a × a × a = 2 × a¹⁺¹⁺¹ = 2a³.

What are the common mistakes in Algebraic Index Laws?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

Adds index instead of multiplying
Added the indices ( $6 + 3$ ) instead of multiplying them - for a power of a power, the indices are MULTIPLIED
Raises only the variable to the power, forgetting to also raise the coefficient
Correctly multiplied the index ( $2 \times 3 = 6$ ) but forgot to also raise the coefficient $2$

Quick answers about Algebraic Index Laws

How many Algebraic Index Laws practice questions are there?: There are 45 self-marking GCSE and IGCSE Maths questions on Algebraic Index Laws, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Extended tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Algebraic Index Laws?: No. You can start practising Algebraic Index Laws straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.