Given in the exam (page 2 of both papers)
The formulas printed on page 2 of Paper 1 and Paper 2.
| Quantity | Formula |
|---|---|
| Area of a triangle | A = ½bh |
| Area of a circle | A = πr² |
| Circumference of a circle | C = 2πr |
| Curved surface area of a cylinder | A = 2πrh |
| Curved surface area of a cone | A = πrl |
| Surface area of a sphere | A = 4πr² |
| Volume of a prism | V = Al |
| Volume of a pyramid | V = ⅓Ah |
| Volume of a cylinder | V = πr²h |
| Volume of a cone | V = ⅓πr²h |
| Volume of a sphere | V = ⁴⁄₃πr³ |
| Quadratic formula | x = (−b ± √(b² − 4ac)) ÷ 2a |
| Sine rule | a ÷ sin A = b ÷ sin B = c ÷ sin C |
| Cosine rule | a² = b² + c² − 2bc cos A |
| Area of a triangle | ½ab sin C |
Not given: learn these
| Quantity | Formula |
|---|---|
| Pythagoras' theorem | a² + b² = c² |
| Trigonometric ratios | sin θ = opp ÷ hyp, cos θ = adj ÷ hyp, tan θ = opp ÷ adj |
| Area of a rectangle / parallelogram | A = lw, A = bh |
| Area of a trapezium | A = ½(a + b)h |
| Arc length / sector area | (θ ÷ 360) × 2πr, (θ ÷ 360) × πr² |
| Speed | speed = distance ÷ time |
| Simple / compound interest | I = PRT ÷ 100, A = P(1 + r ÷ 100)ⁿ |
| Gradient of a line | m = (y₂ − y₁) ÷ (x₂ − x₁) |
| Straight line | y = mx + c |
| Midpoint / length of a line segment | ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2), √((x₂ − x₁)² + (y₂ − y₁)²) |
| Similar shapes | area factor = k², volume factor = k³ |
Papers and calculators
| Paper | Calculator | Time and marks |
|---|---|---|
| Paper 1 | Not allowed | 2 h, 100 marks |
| Paper 2 | Scientific calculator | 2 h, 100 marks |
Algebraic and graphical calculators are not allowed. Use π from your calculator or 3.142 and give answers to 3 significant figures.
How to use this sheet
- Learn the second table from memory: none of it is printed.
- Practise with the printed list so you know where each formula is.
- The list is the same as IGCSE Extended Mathematics, so IGCSE resources help too.
- Source: the official Cambridge syllabus (PDF). Cambridge's own booklet is copyright, so this is our own layout of the standard formulae.