Year 9 maths worksheets
Free Year 9 maths worksheets with answers and hand-written solutions. 22 topics that bridge Key Stage 3 and GCSE, each with extension questions at the end. Print them or answer online for an instant score. No account needed.
Year 9 is the bridge into GCSE. Most schools start the GCSE course somewhere in the year, so the Year 9 sheets in our KS3 maths library are written to look forward: standard form and surds, simultaneous equations, Pythagoras and trigonometry, transformations and the first non-linear graphs. Each of the 22 sheets has 12 to 14 original questions, and the last few on every sheet are extension questions pitched at the top of the year.
If a Year 9 student can score 80% or more across these topics they are in good shape for the Foundation tier and ready to start Higher work. If they cannot, the sheet tells you exactly which topic to go back to.
The 22 Year 9 topics
Listed in scheme order. The number and algebra sheets carry the most weight at GCSE; the graphs and geometry sheets at the end are where Higher-tier students pull away.
Number
- Rounding and estimating
- Primes, HCF and LCM
- Index laws, standard form and surds
- Calculating with fractions
- Converting fractions, decimals and percentages
- Percentages
- Ratio and proportion
Algebra and graphs
- Simplifying, expanding and factorising
- Solving equations
- Linear inequalities
- Substitution and simultaneous equations
- Sequences
- Linear graphs
- Real-life graphs
- Quadratic, cubic, reciprocal and circle graphs
Shape and space
Data and probability
How to use the worksheets
Print it. Every topic has three PDFs: the worksheet, an answers sheet for quick marking, and a solutions sheet with every step written out by hand. Print the worksheet on its own and keep the solutions back until the questions have been attempted.
Or answer online. Open the topic page, type each answer into the box and check it. The page marks it straight away and keeps your best score in this browser. Score 80% or more and the topic is ticked as done on the KS3 library; you can also tick a topic by hand.
Use the solutions properly. The solutions are hand-written, one step per line, the way a tutor writes next to a student. If an answer is wrong, cover the solution, find the first line that differs from your working and redo the question from there. That is where the learning happens, not in reading the whole solution through.
Keep a RAG sheet. The KS3 RAG sheet colours each topic red, amber or green from your scores, so a parent or tutor can see at a glance which topics need another go before the next school test.
Frequently asked questions
- Is Year 9 maths the same as GCSE maths?
- Mostly, at the lower grades. Nearly every Year 9 topic here is examined at GCSE grades 3 to 5, and several (surds, simultaneous equations, trigonometry) run on into Higher. The difference is in the wording and the number of steps, which is what the extension questions on each sheet practise.
- What are the extension questions?
- The last few questions on every Year 9 sheet are harder, multi-step problems pitched at the top of the year, often in the style of a GCSE grade 5 or 6 question. A student aiming at Higher should be attempting them; a student aiming at Foundation can stop before them and still get a full score on the core questions.
- My school has already started the GCSE course. Should we use these or the GCSE sheets?
- Use whichever matches the topic being taught. The Year 9 sheets are a good first pass; when they score well, move to the same topic in the GCSE library by grade, which goes into more depth. Both libraries are free, so there is nothing to choose between on cost.
- Do the scores sync between devices?
- Scores are saved in the browser you used. If you sign in on the library page they are also saved to your account, so a student can answer on a phone and a parent can see the RAG sheet on a laptop.