Every Cambridge International A Level Mathematics command word decoded — what examiners actually want, the structure that earns full marks, the top mistakes flagged in real examiner reports, and the phrases that pick up the marks others leave on the table. Free printable PDF.
6 command words decoded
5 top mistakes flagged
Phrases that earn marks
Print-ready PDF
Command words — click to expand
Top tips for Mathematics
⚠️ Top mistakes examiners flag for Mathematics
✅ Phrases that earn marks
❌ Phrases that lose marks
Losing marks on Mathematics working — even when the final answer is right?
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Other Cambridge International A Level subjects
Cambridge International A Level Mathematics (9709) papers use 6 core command words. The most frequently misread are Show that / Prove (where students add unnecessary explanation) and Explain (where students describe instead of reasoning with because/therefore). The full breakdown — what each word means, the answer structure, and the do/don't list — is in the interactive cheat sheet above.
Describe asks WHAT happens — quote values from data, state the trend, no reasoning. Explain asks WHY — every sentence must contain "because", "therefore" or "as a result". Mixing them up is one of the highest-frequency reasons Cambridge International A Level Mathematics students lose marks they could have earned with the same content.
Across recent Cambridge International A Level Mathematics examiner reports, the most-flagged mistakes are: Missing the second / third solution in trig equations.; Forgetting + c on indefinite integrals.; Working backwards in 'Show that' / 'Prove' questions.. The full list with explanations is in the "Top mistakes" block in the cheat sheet above.
Yes — click the "Download Mathematics Cheat Sheet PDF" button above. Sign up free (no payment), and the printable A4 PDF downloads instantly. The PDF includes the command-word table, top tips, common mistakes and the earn/avoid phrase pairs — designed to fit on one page so you can pin it above your desk.
The cheat sheet covers EXAM TECHNIQUE — how to read command words, structure answers, and use mark-scheme language. Combined with strong subject knowledge it can lift students by 1 grade through more visible M-mark working. Use the Cambridge International A Level Mathematics Grade Predictor to see where you currently sit and how many marks you need for the next grade up.
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Cambridge International A Level Mathematics Grade Boundary Tracker — year-by-year thresholds →
📐 Mathematics formula sheet
Every formula on one printable page →
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