Mathtopus
26 free worksheets · Years 7–9

Free KS3 maths worksheets

Printable practice sheets that go with our video lessons. Each one is graded easy to hard and comes with a full answer key that shows the working — so you can mark it together.

  • Free, no sign-up
  • Full worked answer keys
  • Print-ready A4 PDFs

Whole topics

Take a whole topic in one file

Working through a whole topic rather than one skill? Every worksheet on it, in teaching order, with all the answer keys. Free for an email address, and every sheet in them is still free on its own page.

Number Properties

8 worksheets

Preview of Prime Numbers — Free KS3 Worksheet
Years 7–9
Free

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.

15 questions + answers
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Preview of Factors and Multiples — Free KS3 Worksheet
Years 7–9
Free

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.

15 questions + answers
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Preview of Square and Cube Roots — Free KS3 Worksheet
Years 7–9
Free

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

Square and Cube Numbers — Free KS3 Worksheet

A free, printable KS3 worksheet on square and cube numbers, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, building from squares and cubes up to higher powers, mixed calculations and worded patio and box problems.

16 questions + answers
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Preview of Multiplying and Dividing Negative Numbers — Free KS3 Worksheet
Years 7–9
Free

Multiplying and Dividing Negative Numbers — Free KS3 Worksheet

A free, printable KS3 worksheet on multiplying and dividing negative numbers, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, building from the sign rule up to three-factor 'count the minus signs' questions and worded diving problems.

16 questions + answers
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Preview of Adding and Subtracting Negative Numbers — Free KS3 Worksheet
Years 7–9
Free

Adding and Subtracting Negative Numbers — Free KS3 Worksheet

A free, printable KS3 worksheet on adding and subtracting negative numbers, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, building from counting past zero up to two signs together and worded temperature and lift problems.

16 questions + answers
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Preview of BIDMAS Practice — Free KS3 Order of Operations Worksheet
Years 7–9
Free

BIDMAS Practice — Free KS3 Order of Operations Worksheet

A free, printable KS3 worksheet on BIDMAS (the order of operations) without a calculator, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, building from multiply-first up to brackets, indices, same-rung traps and word problems.

16 questions + answers
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Preview of Order of Operations (BIDMAS) — Free KS3 Worksheet
Years 7–9
Free

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.

16 questions + answers
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Fractions

7 worksheets

Preview of Converting Improper Fractions & Mixed Numbers — Free KS3 Worksheet
Years 7–9
Free

Converting Improper Fractions & Mixed Numbers — Free KS3 Worksheet

A free, printable KS3 worksheet on converting improper fractions to mixed numbers and back, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9.

16 questions + answers
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Preview of Adding & Subtracting Fractions — Free KS3 Worksheet
Years 7–9
Free

Adding & Subtracting Fractions — Free KS3 Worksheet

A free KS3 practice worksheet on adding and subtracting fractions with different denominators. 16 questions graded easy to hard, with a full worked answer key. Print-ready A4 PDF.

16 questions + answers
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Preview of Dividing Fractions — Free KS3 Worksheet
Years 7–9
Free

Dividing Fractions — Free KS3 Worksheet

A free KS3 practice worksheet on dividing fractions using keep, change, flip. 16 questions graded easy to hard, with a full worked answer key including mixed numbers. Print-ready A4 PDF.

16 questions + answers
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Preview of Equivalent Fractions — Free KS3 Worksheet
Years 7–9
Free

Equivalent Fractions — Free KS3 Worksheet

A free KS3 practice worksheet on equivalent fractions: fill in the missing number by multiplying the top and bottom by the same value. 16 questions graded easy to hard, including word problems, with a full answer key. Print-ready A4 PDF.

16 questions + answers
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Preview of Fractions of an Amount — Free KS3 Worksheet
Years 7–9
Free

Fractions of an Amount — Free KS3 Worksheet

A free KS3 practice worksheet on finding a fraction of an amount: divide by the bottom, multiply by the top. 16 questions graded easy to hard, with a full answer key. Print-ready A4 PDF.

16 questions + answers
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Preview of Multiplying Fractions — Free KS3 Worksheet
Years 7–9
Free

Multiplying Fractions — Free KS3 Worksheet

A free KS3 practice worksheet on multiplying fractions. 16 questions graded easy to hard, with a full worked answer key including mixed numbers. Print-ready A4 PDF.

16 questions + answers
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Preview of Simplifying Fractions — Free KS3 Worksheet
Years 7–9
Free

Simplifying Fractions — Free KS3 Worksheet

A free KS3 practice worksheet on simplifying fractions to their lowest terms using the highest common factor. 16 questions graded easy to hard, with a full answer key. Print-ready A4 PDF.

16 questions + answers
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Decimals & Rounding

4 worksheets

Preview of Ordering Decimals & Place Value — Free KS3 Worksheet
Years 7–9
Free

Ordering Decimals & Place Value — Free KS3 Worksheet

A free, printable KS3 worksheet on ordering and comparing decimals using place value, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, including word problems.

16 questions + answers
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Preview of Adding & Subtracting Decimals — Free KS3 Worksheet
Years 7–9
Free

Adding & Subtracting Decimals — Free KS3 Worksheet

A free, printable KS3 worksheet on adding and subtracting decimals using the column method, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, including word problems.

16 questions + answers
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Preview of Multiplying & Dividing Decimals — Free KS3 Worksheet
Years 7–9
Free

Multiplying & Dividing Decimals — Free KS3 Worksheet

A free, printable KS3 worksheet on multiplying and dividing decimals, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, including word problems.

16 questions + answers
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Preview of Rounding Decimals to Decimal Places — Free KS3 Worksheet
Years 7–9
Free

Rounding Decimals to Decimal Places — Free KS3 Worksheet

A free, printable KS3 worksheet on rounding decimals to 1, 2 and 3 decimal places, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9 — including the carry and trailing-zero traps.

16 questions + answers
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Percentages

3 worksheets

Preview of Reverse Percentages — Free KS3 Worksheet
Years 7–9
Free

Reverse Percentages — Free KS3 Worksheet

A free, printable KS3 worksheet on reverse percentages (finding the original amount after a % change) without a calculator, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, including sale prices and word problems.

16 questions + answers
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Preview of Percentage Increase & Decrease — Free KS3 Worksheet
Years 7–9
Free

Percentage Increase & Decrease — Free KS3 Worksheet

A free, printable KS3 worksheet on percentage increase and decrease without a calculator, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, including sale prices and word problems.

16 questions + answers
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Preview of Percentage of an Amount — Free KS3 Worksheet
Years 7–9
Free

Percentage of an Amount — Free KS3 Worksheet

A free, printable KS3 worksheet on finding a percentage of an amount without a calculator, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, including word problems.

16 questions + answers
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Ratio & Proportion

3 worksheets

Preview of Direct Proportion — Free KS3 Worksheet
Years 7–9
Free

Direct Proportion — Free KS3 Worksheet

A free, printable KS3 worksheet on direct proportion and the unitary method, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, from finding the value of one up to comparing unit prices to find the better buy.

16 questions + answers
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Preview of Sharing in a Ratio — Free KS3 Worksheet
Years 7–9
Free

Sharing in a Ratio — Free KS3 Worksheet

A free, printable KS3 worksheet on sharing an amount in a ratio without a calculator, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, including three-part ratios and word problems.

16 questions + answers
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Preview of Simplifying Ratios — Free KS3 Worksheet
Years 7–9
Free

Simplifying Ratios — Free KS3 Worksheet

A free, printable KS3 worksheet on simplifying ratios without a calculator, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, including three-part ratios, different units and word problems.

16 questions + answers
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Solving Equations

1 worksheet

Preview of Solving Equations — Free KS3 Worksheet
Years 7–9
Free

Solving Equations — Free KS3 Worksheet

A free, printable KS3 worksheet on solving equations, with a full worked answer key. 15 questions graded easy to hard for Years 7, 8 and 9, building from one-step equations up to two-step equations where the order matters.

15 questions + answers
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