Higher tier students must learn the whole list!
Click a formula for an interactive example to show how it is used.
| Formula | Tier? | How to use the formula in words: | In Algebra: |
|---|---|---|---|
| Area of a Rectangle | F | Multiply the length by the width. | A = L x W |
| Area of a Triangle | F | Multiply the base by the perpendicular height and divide by two. | A = ½bh |
| Area of a Parallelogram | F | Multiply the base by the height. | A = b x h |
| Area of a Trapezium | F | Add together the parallel sides and multiply by the height. Divide your answer by two. | A = ½(a + b)h |
| Area of a Circle | F | Square the radius and multiply by pi. | A = πr2 |
| Circumference of a Circle | F | Double the radius and multiply by pi
or Multiply the diameter by pi. |
C = 2πr or C = πD |
| Volume of a Cuboid | F | Multiply the length by the width by the height. | V = lwh |
| Volume of a Prism | F | Multiply the cross sectional area of the prism by its length. | n/a |
| Volume of a Sphere | H | Cube theradius and multiply bypi. Multiply your answer by four then divide by three. | V = 4πr3 3 |
| Surface Area of a Sphere | H | Square theradius and multiply bypi. Multiply your answer by four. | A = 4πr2 |
| Volume of a Cone | H | Square the base radius of the cone and multiply bypi. Multiply your answer by the perpendicular height. Divide your answer by three. |
V = 1
πr2h 3 |
| Curved Surface Area of a Cone | H | Multiply the base radius of the cone bypi. Multiply your answer by the length of the side of the cone. | A = πrl |
| Volume of a Pyramid | H | Multiply the area of the base by the perpendicular height. Divide your answer by three. | n/a |
| Sine Rule | H | n/a | a
=
b =
c Sin A Sin B Sin C |
| Cosine Rule | H | n/a | a2 = b2 + c2 - 2bc cos A |
| Area of any Triangle | H | n/a | ½ ab sin C |
| Quadratic Equation | H | n/a |  |