Equations + Formulae

Question 1

Quadratic Formula

Answer 1

x = (-b +/- √(b^2 - 4ac))/2a

Question 2

Area of a Rectangle

Answer 2

Area = Width x Length

Question 3

Area of a Parallelogram

Answer 3

Area = Base x Height

Question 4

Area of a Triangle

Answer 4

Area = 1/2 x Base x Height

Question 5

Area of a Trapezium

Answer 5

1/2 x (TopLength + Base) x Height

Question 6

Circumference of a Circle (Using Pi)

Answer 6

Circumference = Pi(π) x Diameter

Question 7

Circumference of a Circle (Using Radius)

Answer 7

Circumference = 2 x Pi(π) x Radius^2 (Radius Squared)

Question 8

Area of a Circle

Answer 8

Area = Pi(π) x Radius^2 (Radius Squared)

Question 9

Hypotenuse of Right-Angle Triangle (Pythagoras’ Theorem)

Answer 9

a^2 + b^2 = c ^2 (A Squared + B Squared = C Squared)

Question 10

Sine Rule of SOHCAHTOA

Answer 10

sinx = Opposite ÷ Hypotenuse (SineOppositeHypotenuse: SOH)

Question 11

Cosine Rule of SOHCAHTOA

Answer 11

cosx = Adjacent ÷ Hypotenuse (CosineAdjacentHypotenuse: CAH)

Question 12

Tangent Rule of SOHCAHTOA

Answer 12

tanx = Opposite ÷ Adjacent (TangentOppositeAdjacent: TOA)

Question 13

Volume of a Cuboid

Answer 13

Volume = Length x Width x Height

Question 14

Volume of a Prism

Answer 14

Volume = Area of Cross-Section x Length

Question 15

Volume of a Cylinder

Answer 15

Volume = Pi(π) x Radius^2 (Radius Squared) x Height

* Area of Cross-Section (Circle) x Length (Height)

Question 16

Volume of a Pyramid

Answer 16

Volume = 1/3 x Area of Base x Height

Question 17

Equation for Speed

Answer 17

Speed = Distance ÷ Time

Question 18

Equation for Density

Answer 18

Density = Mass ÷ Volume

Question 19

Equation for Pressure

Answer 19

Pressure = Force ÷ Area

Question 20

Sine Rule

Answer 20

a / (sinA) = b / (sinB) = c / (sinC)

Question 21

Cosine Rule

Answer 21

a^2 (A Squared) = b^2 + c^2 - 2bc x cosA

Question 22

Area of a Traingle (using Sine)

Answer 22

Area = 1/2 x a x b x sinC