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IGCSE Mathematics Past Papers & Drilling (Paper 2): Algebra, Geometry, Ratio, Statistics
TUTORZONE ORIGINAL DRILLING MOCK · CAMBRIDGE IGCSE MATHEMATICS (0580) PAPER 2
Written to the Cambridge 0580 syllabus (2025-2027): Extended Paper 2 (Non-calculator), 80 marks, 1 h 30 min, 50%, plus Paper 4 (Calculator) 80 marks, 50%. This is a Paper 2 drilling mock: 8 questions for 80 marks with answers and techniques.
What is in the IGCSE Mathematics (0580) Extended exam?
Direct answer: two papers: Paper 2 (Non-calculator) 80 marks, 50%, 1 h 30 min; Paper 4 (Calculator) 80 marks, 50%, 1 h 30 min.
Assessment at a glance (2027)
| Component | Content | Weighting | Duration |
|---|---|---|---|
| Paper 2 (Extended, Non-calculator) | Structured and unstructured, 80 marks | 50% | 1 h 30 min |
| Paper 4 (Extended, Calculator) | Structured and unstructured, 80 marks | 50% | 1 h 30 min |
IGCSE Mathematics drilling technique: Paper 2 has no calculator; 8 questions in 1 h 30 min is about 11 minutes each. Show steps for solving and area; check your factorisation.
How this paper was built
This is a TutorZone original drilling mock: the questions follow the Cambridge 0580 structure (Extended Paper 2, 80 marks, 50%) and the answers are our own, not Cambridge past papers or marking references.
Every answer was recomputed programmatically.
Pacing
| Section | Marks | Suggested time | What to do first |
|---|---|---|---|
| Paper 2 (Extended, Non-calculator) | 50% | about 11 min per question | show steps in algebra and geometry |
| Paper 4 (Extended, Calculator) | 50% | about 11 min per question | scientific calculator required |
What is the triangle area formula?
Direct answer: area = 1/2 x base x height.
Paper 2: non-calculator drilling (8 questions, 80 marks)
Show steps; check your factorisation.
Question 1 (10 marks)
Solve the equation 2x + 3 = 11.
Question 2 (10 marks)
Solve the quadratic equation x^2 – 5x + 6 = 0.
Question 3 (10 marks)
Find the area of a triangle with base 6 and height 8.
Question 4 (10 marks)
Find the area of a circle of radius 5 (in terms of pi).
Question 5 (10 marks)
An item costs $80 with a 15% discount. Find the selling price.
Question 6 (10 marks)
Divide $240 between A and B in the ratio 3 : 5. How much does B get?
Question 7 (10 marks)
A right-angled triangle has legs 6 and 8. Find the hypotenuse.
Question 8 (10 marks)
What is the mean of the data 4, 6, 8, 10, 12?
How do you solve a quadratic equation?
Direct answer: factorise and set each factor to zero, or use the quadratic formula.
Paper 2 answers
Question 1
2x = 8, so x = 4 (10).
Question 2
Factorise (x – 2)(x – 3) = 0, so x = 2 or 3 (10).
Question 3
Area = 1/2 x 6 x 8 = 24 square units (10).
Question 4
Area = pi r^2 = pi x 25 = 25 pi (about 78.5) (10).
Question 5
Selling price = 80 x 0.85 = $68 (10).
Question 6
Total parts = 8; B gets 5 parts: 240 x 5/8 = $150 (10).
Question 7
Hypotenuse = sqrt(6^2 + 8^2) = sqrt(100) = 10 (10).
Question 8
Mean = (4+6+8+10+12) / 5 = 8 (10).
Which topics does this paper drill?
Direct answer: algebra, quadratics, geometry, percentages, ratio, Pythagoras, statistics.
Where these marks are usually lost
| Mistake | What it looks like | What it costs | Instead |
|---|---|---|---|
| Sign in transposition | x = 7 | Subtract 3 then divide by 2 | x = 4 |
| Factorisation sign | Wrong sign in (x-2)(x-3) | Expand to check | x = 2 or 3 |
| Triangle missing 1/2 | 6×8 = 48 | Area needs the 1/2 | 1/2 x 6 x 8 = 24 |
How to use this paper
First drill: the full 1 h 30 min on all 8 questions with no references.
Mark it: check solving steps and factorisation.
Second drill: redo three to seven days later, aiming to finish inside 1 h 15 min.
What should I do after drilling this paper?
Direct answer: log questions with wrong transposition or factorisation; redo in three to seven days; and drill Paper 4 calculator.
FAQ
Is this a Cambridge past paper?
No. The questions and answers are TutorZone originals, not Cambridge past papers or marking references.
How many papers does IGCSE Mathematics Extended have?
Two: Paper 2 (Non-calculator) and Paper 4 (Calculator), each 80 marks, 50%.
What is the triangle area formula?
Area = 1/2 x base x height.
Official references
| Resource | What to check |
|---|---|
| Cambridge IGCSE Mathematics 0580 syllabus (2025-2027) | Confirm the Paper 2/4 marks and times |
| https://www.tutorzone.com.hk/en-igcse-physics-0625-paper-4-mock-2027/ | IGCSE Physics (0625) drilling mock |
Related: practice area · IGCSE Physics Paper 4 drilling mock · IGCSE Additional Maths 0606 Paper 1 drilling mock
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