# GCSE Maths Formula Sheet 2023

To get students ahead of the game for future examinations, our team has provided the GCSE Maths formula sheet for 2023.

At the end of October, OFQUAL announced that students sitting GCSE Maths in 2023 will be given a formulae sheet!

The same sheet will be given for all English exam boards, with minor aesthetic changes. The formulae given are below.

### GCSE Maths Formula Sheet 2022 Foundation

Area of a Trapezium

$A=\frac{1}{2}(a+b)h$

Volume of a Prism

$volume = area\:of\:cross\:section \times length$

Circumference of a Circle

$C=2\pi r=\pi d$

Area of a Circle

$A = \pi r^2$

Pythagoras’ Theorem

$a^2 + b^2 = c^2$

Trigonometry Formulae

$\text{sin}\theta = \frac{o}{h}$
$\text{cos}\theta = \frac{a}{h}$
$\text{tan}\theta = \frac{o}{a}$

Compound Interest

$\text{Total = P} (1 + \frac{r}{100})^n$

### GCSE Maths Formula Sheet 2022 Higher

Area of a Trapezium

$A=\frac{1}{2}(a+b)h$

Volume of a Prism

$volume = area\:of\:cross\:section \times length$

Circumference of a Circle

$C=2\pi r=\pi d$

Area of a Circle

$A = \pi r^2$

Pythagoras’ Theorem

$a^2 + b^2 = c^2$

Trigonometry Formulae

$\text{sin}\theta = \frac{o}{h}$
$\text{cos}\theta = \frac{a}{h}$
$\text{tan}\theta = \frac{o}{a}$

Compound Interest

$\text{Total = P} (1 + \frac{r}{100})^n$

Probability

$\text{P(A\;or\;B) = P(A) + P(B) \: - \: P(A\;and\;B)}$

P(A and B)

$\text{P(A and B) = P(A given B)P(B)}$

$x=\frac{-b \: \pm \: \sqrt{b^2 \: - \: 4ac}}{2a}$

Sine Rule

$\frac{a}{\text{sinA}} = \frac{b}{\text{sinB}} = \frac{c}{\text{sinC}}$

Cosine Rule

$a^2 = b^2 + c^2 - 2bc\text{cosA}$

Area of a Triangle

$Area = \frac{1}{2} ab\text{sinC}$

We’re hoping that this GCSE Maths formula sheet for 2023 has helped you/your students out with exam preparation. However, it doesn’t stop there…

Our GCSE Maths resource site packs in a huge amount of teaching/learning materials across Foundation and Higher Level Maths.

In addition, specific examination and revision resources are also offered in this delightful KS4 pocket here:
> Foundation
> Higher

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