311·Mathematics · GCSE
GCSE Mathematics
Questions
& Model Answers
GCSE Maths exam questions for secondary schools (PDF)
A wrong answer with the method written above it keeps two marks in three. The same wrong answer standing alone keeps none, and the difference is not ability — it is what ended up on the page. Every one of these hundred questions carries its own mark scheme, method, accuracy and independent marks set out separately, so a class can see which line earned what. Higher-tier content is marked on the page rather than split into a second book.
- 1Number
- 2Algebra: expressions and manipulation
- 3Equations, inequalities and graphs
- 4Ratio, proportion and rates of change
- 5Geometry: angles, shape and properties
- 6Mensuration, Pythagoras and trigonometry
- 7Probability
- 8Statistics
- 9Method, working and communication
Not a bank of questions with the answers printed underneath. The three banded responses are the starting point, not the output: what follows each one is the discriminator, named out loud, then the questions you actually ask to move a student from the first answer to the last, then the mark scheme that shows what each line was worth. That combination is the part no mark scheme contains on its own.
Every question, every answer and every figure in this book is written and drawn for it. Nothing is copied from a past paper, a mark scheme or an examiner report, and no candidate's script appears anywhere in it. The mark schemes follow the same conventions the boards use — method, accuracy and independent marks — rather than being reproduced from any of them.
Twenty-nine of the hundred are Higher tier and say so in the top corner. Higher includes all of Foundation, so a Higher class needs every page and a Foundation class skips those twenty-nine — which is why the book is not split in two. The last eight questions are about working and communication rather than content: why a correct answer with no working can score less than a wrong one, what "show that" requires that "work out" does not, and why a rounded value should never be carried into the next line.
- Written to The GCSE subject content for mathematics (DfE) and the three assessment objectives set by Ofqual, which are worded identically across AQA, Edexcel, OCR and Eduqas
- Intended for mathematics teachers and heads of department — used with a class, not a student revision guide
- Extent 107 pages · 9 sections
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