A non-calculator paper can feel intimidating when you normally check every answer on a screen. The useful skill is being able to choose a manageable method: simplify before multiplying, keep fractions exact and check whether the final number is sensible. The examples below are original practice exercises, not predictions of exam questions.
Check your tier and paper before practising
The Cambridge 0580 syllabus for 2025–2027 sets out the non-calculator and calculator papers for each tier. Keep that document beside your revision checklist. If you are still deciding your entry, read our Core vs Extended guide. This article is about 0580; other boards and syllabus codes can use different arrangements.
Build accuracy with fractions and percentages
Try 3/4 + 5/6. A common denominator is 12, so the sum is 9/12 + 10/12 = 19/12, or 1 7/12. Adding the denominators would give a different quantity. For multiplication, simplify first: (14/15) × (25/21) becomes (2/3) × (5/3) = 10/9 after cancelling common factors.
For 15% of 240, find 10% = 24 and 5% = 12, then add to get 36. A reverse percentage needs a different starting point. If a price is 240 after a 20% reduction, then 240 represents 80% of the original: original price = 240 ÷ 4 × 5 = 300. Taking 20% of 240 and adding it back will not reverse the discount.
Make algebra visible on the page
Solve 3(2x − 5) = 9 by expanding to 6x − 15 = 9, adding 15 to both sides, then dividing by 6: x = 4. Check by substitution: 3(8 − 5) = 9. Each line should follow from the previous one; a string of unexplained numbers is harder to check when you make a slip.
Extended students can also practise exact forms. For example, √72 = √(36 × 2) = 6√2. Keep the exact expression when it is requested instead of replacing it with a rounded decimal. Choose exercises from the content list for your own tier, especially when practising surds or more advanced algebra.
Use this two-week practice routine
| Days | Focus | Evidence of progress |
|---|---|---|
| 1–3 | Fractions, signed numbers and percentages | Correct methods without calculator checks |
| 4–6 | Algebra, equations and rearranging | Working that you can explain line by line |
| 7–9 | Geometry, measures and graphs for your tier | Correct units, diagrams and interpretation |
| 10–12 | Mixed timed question sets | Fewer repeated errors across topics |
| 13–14 | A current-format paper and corrections | A short list of remaining weaknesses |
A practical session is five minutes of mental arithmetic, twenty minutes of questions and ten minutes correcting mistakes. Adjust the length around school and other subjects. Keep the calculator away during the attempt; after marking, use it only to investigate errors rather than to rewrite an unsupported answer.
Mark the method and revisit the mistake
Label each error as arithmetic, method, reading or timing. Redo a missed question two days later without the answer nearby. If the same mistake survives, practise a simpler question of that type before attempting another full paper. Our past-paper method explains how to make that correction cycle part of weekly revision.
For help identifying which skills need work, explore online Mathematics tutoring. Bring a recent paper and your syllabus code so the lesson can focus on your actual errors.
Frequently asked questions
01Which IGCSE Maths 0580 paper is non-calculator?
Under the 2025–2027 syllabus, Core students take non-calculator Paper 1 and calculator Paper 3. Extended students take non-calculator Paper 2 and calculator Paper 4. Check the syllabus for your examination year.
02Can I use old 0580 past papers for non-calculator revision?
Use older questions for relevant topic practice, but do not assume an older paper matches the current format. Use the specimen papers and papers for your syllabus period to practise the current assessment.
03How do I stop making arithmetic mistakes?
Write one step per line, cancel common factors before multiplying fractions, and estimate the answer before calculating. Keep a record of repeated mistakes and redo those questions without looking at the solution.
