Every Cambridge IGCSE 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?
Cambridge IGCSE Mathematics awards method marks (M marks) for every step shown. A Tutopiya Mathematics tutor walks through your mock paper line-by-line, finds where you're skipping the M marks, and rewrites the working with you. Submit a free enquiry and we'll match you with a specialist.
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Other Cambridge IGCSE subjects
Cambridge IGCSE Mathematics (0580) papers use 6 core command words. The most frequently misread are Show working (M marks) (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 IGCSE Mathematics students lose marks they could have earned with the same content.
Across recent Cambridge IGCSE Mathematics examiner reports, the most-flagged mistakes are: Saying 'Z angles' or 'F angles'; Rounding mid-calculation; Forgetting the units squared/cubed on area/volume answers.. 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 IGCSE Mathematics Grade Predictor to see where you currently sit and how many marks you need for the next grade up.
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🎯 Predict your Mathematics grade
Cambridge IGCSE Mathematics Grade Predictor — enter mock marks, see predicted grade →
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Cambridge IGCSE Mathematics Grade Boundary Tracker — year-by-year thresholds →
📐 Mathematics formula sheet
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