Free Mathematics Formula Sheet

Introduction

Mathematics formulas help students solve problems faster and more accurately. This guide provides some of the most important formulas students should memorize.

Algebra

Difference of Squares

$a^2-b^2=(a+b)(a-b)$a2−b2=(a+b)(a−b)

$a$a

$b$b

$a^2-b^2=(a-b)(a+b)$a2−b2=(a−b)(a+b)

$9^2-4^2=(9-4)(9+4)=65$92−42=(9−4)(9+4)=65aba + ba – b

Quadratic Formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$x=2a−b±b2−4ac​​

$a$a

$b$b

$c$c

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{0\pm\sqrt{16}}{2}\approx -2,\ 2$x=2a−b±b2−4ac​​=20±16​​≈−2, 2

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Geometry

Area of a Circle

$A=\pi r^2$A=πr2

$r$r

$A = \pi r^2 \approx 28.27$A=πr2≈28.27

$C = 2\pi r \approx 18.85$C=2πr≈18.85r = 3.00

Circumference of a Circle

$C=2\pi r$C=2πr

$r$r

$d = 2r \approx 6.00$d=2r≈6.00

$C = 2\pi r \approx 18.85$C=2πr≈18.85circumferencer = 3.00

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Trigonometry

Sine Ratio

$\sin\theta=\frac{Opposite}{Hypotenuse}$sinθ=HypotenuseOpposite​

Tangent Ratio

$\tan\theta=\frac{Opposite}{Adjacent}$tanθ=AdjacentOpposite​

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Downloadable Version

Students can download and print this formula sheet for daily revision and examination preparation.

Conclusion

Regular review of formulas helps improve speed, accuracy, and confidence during examinations.