100+ Free IGCSE Mathematics Practice Questions
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The graph y = f(x) is translated to give y = f(x) + 3. Describe the transformation.
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Key Facts: IGCSE Mathematics Exam
0580
Cambridge IGCSE Mathematics syllabus code
Cambridge International
2 papers
Per tier (Core or Extended)
Cambridge 0580 syllabus 2026
A*-E
Extended grading scale
Cambridge International
100
Free practice questions here
OpenExamPrep
Cambridge IGCSE Mathematics 0580 is assessed through two timed written papers per tier: Core (P1 non-calculator + P3 calculator, grades C-G) or Extended (P2 non-calculator + P4 calculator, grades A*-E). The 2026 syllabus covers number, algebra, geometry, trigonometry, probability and statistics.
Sample IGCSE Mathematics Practice Questions
Try these sample questions to test your IGCSE Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1Write 0.000423 in standard form.
2Calculate 3/4 + 2/3, giving the answer as a single fraction in lowest terms.
3A jumper costs $48 after a 20% discount. What was the original price?
4Find the HCF of 84 and 126.
5Convert the recurring decimal 0.4 with the 4 repeating into a fraction in lowest terms.
6Simplify sqrt(50) + sqrt(8).
7Evaluate 16^(3/4).
8Share £960 between A, B and C in the ratio 2 : 3 : 5. How much does B receive?
9Round 0.04987 to 2 significant figures.
10Calculate (3 x 10^5) x (2 x 10^-3) and give the answer in standard form.
About the IGCSE Mathematics Exam
Cambridge IGCSE Mathematics (0580) is the international General Certificate of Secondary Education awarded by Cambridge Assessment International Education. The syllabus is taken at Core or Extended tier and covers number, algebra and graphs, coordinate geometry, geometry, mensuration, trigonometry, vectors and transformations, probability and statistics through two written papers.
Questions
100 scored questions
Time Limit
Core: 3 hours total; Extended: 4 hours total across two papers
Passing Score
Grade C is the standard pass (Extended A*-E); Core graded C-G
Exam Fee
£40-£90 per subject (school-set entry fee) (Cambridge Assessment International Education (CAIE))
IGCSE Mathematics Exam Content Outline
Number
Integers, fractions, decimals, percentages, ratio and proportion, standard form, rounding and significant figures, BIDMAS, prime factorisation, HCF and LCM, surds, indices laws, recurring decimals to fractions
Algebra and Graphs
Expanding and factorising, simultaneous equations (linear and one-linear-one-quadratic), quadratic formula, completing the square, sequences (linear and quadratic nth term), function notation, inverse and composite functions, transformations of graphs, exponential graphs, gradient by chord or tangent, distance-time and speed-time graphs
Coordinate Geometry
Midpoint and distance formulas, gradient, equation of a straight line y = mx + c, parallel and perpendicular gradient conditions
Geometry
Angles on lines and around a point, parallel-line angle rules, interior and exterior angles of polygons, circle theorems (angle at centre, same segment, alternate segment, cyclic quadrilaterals, tangent-radius), congruence (SSS, SAS, ASA, RHS), similarity with ratio of sides, area and volume, Pythagoras
Mensuration
Area of triangle, parallelogram, trapezium and circle; volume and surface area of cuboid, prism, cylinder, pyramid, cone and sphere; arc length and sector area
Trigonometry
SOHCAHTOA in right triangles, sine and cosine rules, area = 1/2 ab sin C, 3D Pythagoras and trigonometry, exact values of sin, cos and tan at 0, 30, 45, 60 and 90 degrees
Vectors and Transformations
Column vectors, magnitude, vector addition and scalar multiplication, translation, reflection, rotation and enlargement (including negative and fractional scale factors)
Probability
Single event probability, combined events with tree and Venn diagrams, conditional probability, mutually exclusive vs independent events
Statistics
Mean, median, mode and range; mean from a frequency table; modal class and estimated mean from grouped data; histograms with frequency density; cumulative frequency curves, quartiles, IQR and box plots
How to Pass the IGCSE Mathematics Exam
What You Need to Know
- Passing score: Grade C is the standard pass (Extended A*-E); Core graded C-G
- Exam length: 100 questions
- Time limit: Core: 3 hours total; Extended: 4 hours total across two papers
- Exam fee: £40-£90 per subject (school-set entry fee)
Keys to Passing
- Complete 500+ practice questions
- Score 80%+ consistently before scheduling
- Focus on highest-weighted sections
- Use our AI tutor for tough concepts
IGCSE Mathematics Study Tips from Top Performers
Frequently Asked Questions
What is Cambridge IGCSE Mathematics (0580)?
Cambridge IGCSE Mathematics (0580) is the international General Certificate of Secondary Education in Mathematics, awarded by Cambridge Assessment International Education. It can be taken at Core tier (grades C-G) or Extended tier (grades A*-E).
How many papers does IGCSE Mathematics 0580 have?
Each tier has two papers. Core sits Paper 1 (non-calculator, 56 marks) and Paper 3 (calculator, 104 marks). Extended sits Paper 2 (non-calculator, 70 marks) and Paper 4 (calculator, 130 marks).
When are the IGCSE Mathematics exams taken?
Cambridge IGCSE exams run in three series each year: February-March (selected regions), May-June, and October-November. Most candidates sit Mathematics 0580 in the May-June series.
What is the difference between Core and Extended IGCSE Mathematics?
Core covers a smaller content set and is graded C-G, while Extended covers the full syllabus including harder topics (quadratics, circle theorems, calculus-free graph work, sine/cosine rule) and is graded A*-E. Students aiming for top grades take Extended.