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Years 7–9
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Number properties

Order of Operations (BIDMAS) — Free KS3 Worksheet

A free, printable KS3 worksheet on the order of operations (BIDMAS) without a calculator, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, including the famous 8÷2(2+2) style and word problems.

This is the sheet for the calculation that keeps going round the internet, the one where half the replies say 1 and half say 16. The disagreement is never about arithmetic. It is about which operation you are allowed to do first, and there is a settled answer: brackets, then indices, then division and multiplication, then addition and subtraction. Work through sixteen questions on that order and the famous puzzle stops being a puzzle.

What is on the sheet

The first questions are short, two operations at a time, so the order is the only thing being tested. From there the calculations grow: brackets that change the answer, powers sitting next to a multiplication, and a final few where two operations of equal rank sit side by side and the rule is simply to work left to right. Sixteen questions with a full answer key, and every answer is worked out by the same code that sets the question, so the key cannot drift.

Marking it

If either shows up more than once, the order of operations lesson walks through the same calculation both ways so they can see where the two answers separate.

Keep going

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Preview of Prime Numbers — Free KS3 Worksheet
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Prime Numbers — Free KS3 Worksheet

A free, printable KS3 worksheet on prime numbers, with a full worked answer key. 15 questions graded easy to hard for Years 7, 8 and 9, building from spotting small primes up to working out how far you actually have to test.

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Preview of Factors and Multiples — Free KS3 Worksheet
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Factors and Multiples — Free KS3 Worksheet

A free, printable KS3 worksheet on factors and multiples, with a full worked answer key. 15 questions graded easy to hard for Years 7, 8 and 9, building from listing factors and multiples up to knowing exactly where to stop.

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Preview of Square and Cube Roots — Free KS3 Worksheet
Years 7–9
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Square and Cube Roots — Free KS3 Worksheet

A free, printable KS3 worksheet on square and cube roots, with a full worked answer key. 15 questions graded easy to hard for Years 7, 8 and 9, building from square roots and cube roots up to estimating a root that isn't exact, and worded garden and box problems.

15 questions + answers
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Want all 8 number properties worksheets at once?

One PDF, 125 questions, every answer key included, in teaching order. Every sheet in it is free on its own page too. The pack just saves you collecting them one at a time.

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