Mathtopus
22 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

Number properties

6 worksheets

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

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

2 worksheets

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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