Maths Formulas

Your complete reference guide to all the key maths formulas needed for the 11 Plus exam.

Shape & Area

Area of Rectangle

Area = length x width

Multiply the length by the width to find the area. Units are always squared (e.g., cm2).

Shape & Area

Area of Triangle

Area = 1/2 x base x height

Multiply the base by the height, then divide by 2. The height must be perpendicular to the base.

Shape & Area

Area of Circle

Area = pi x r x r (pi x r squared)

Multiply pi (3.14159) by the radius squared. Remember: radius is half the diameter.

Shape & Area

Perimeter of Rectangle

Perimeter = 2 x (length + width)

Add the length and width together, then multiply by 2.

Shape & Area

Circumference of Circle

Circumference = 2 x pi x r (or pi x d)

Multiply 2 by pi by the radius, or simply multiply pi by the diameter.

Volume

Volume of Cuboid

Volume = length x width x height

Multiply all three dimensions together. Units are always cubed (e.g., cm3).

Statistics

Mean Average

Mean = Sum of all values / Number of values

Add up all the numbers, then divide by how many numbers there are.

Number

Percentage of a Number

Percentage = (Part / Whole) x 100

Divide the part by the whole, then multiply by 100 to get the percentage.

Measurement

Speed, Distance, Time

Speed = Distance / Time

Distance = Speed x Time. Time = Distance / Speed. Remember the triangle: D on top, S and T on the bottom.

Number

Converting Fractions to Decimals

Divide numerator by denominator

For example, 3/4 = 3 divided by 4 = 0.75. To convert to percentage, multiply by 100.