GCSE Maths Formulae

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Surface area of cylinder

(2 x π x r x h) + (2 x π x r2)

Sum of interior angles (irregular polygons)

(number of sides - 2) x 180

Surface area of cone

(π x r x l) + (π x r2)

Area of trapezium

1/2 x (total of parallel sides) x H

Area of triangle

1/2 x B x H

Volume of pyramid

1/3 x Base Area x H

Volume of cone

1/3 x π x r2 x H

Interior angle

180 - Exterior angle

Sum of exterior angles (irrregular polygons)

360

Exterior angle

360 / number of sides

Surface area of sphere

4 x π x r2

Volume of sphere

4/3 x π x r3

Angles in a triangle

Add up to 180

Angles on a straight line

Add up to 180

Supplementary angles (U angles)

Add up to 180

Angles in a quadrilateral

Add up to 360

Angles round a point

Add up to 360

What is a acute angle?

An angle between 0 and 90

What is a reflex angle?

An angle between 180 and 360

What is a obtuse angle?

An angle between 90 and 180

What is a right angle?

An angle that is exactly 90

Area of sector

Angle of sector / 360 x Area of circle

Length of arc

Angle of sector / 360 x Circumference of circle

Alternate angles (Z angles)

Are the same

Corresponding angles (F angles)

Are the same

Surface area of solid

Area of net

Area of parallelogram

B x H

Volume of prism

Cross sectional area x length

The formula triangle for distance speed and time would be?

D S x T

Time

D / S

Speed

D / T

Mass

D x V

Volume of cuboid

L x W x H

The formula triangle for mass density and volume would be?

M D x V

Density

M / V

Isosceles triangle

Two sides are the same. Two angles are the same.

Volume of frustum

V of origional cone - V of removed cone

The sine rule

a / sinA = b / sinB = c / sinC

Pythagoras' theorem

a2 + b2 = h2

The cosine rule

a2 = b2 + c2 - 2bc COS A or COS A = b2+c2-a2 / 2bc

Exterior angle of a triangle

equals sum of opposite interior angles

In factorising quadratic equations a minus then a plus makes a?

minus then a minus

In factorising quadratic equations a minus and a minus makes a?

plus then a minus

In factorising quadratic equations a plus then a minus makes a?

plus then a minus

In factorising quadratic equations a plus then a plus makes a?

plus then a plus

What formula is used to determine where an x point meets a y point on a particular line?

y=mx+c

Circumference of circle

π x D

Area of circle

π x r2

Volume

M / D

Probability-the AND rule

P of A and B happening is (P of A) times (P of B)

Probability-the OR rule

P of A or B happening is (P of A) add (P of B)

Graphs: How would you decide wich place to put the gradient numbers?

Rise / Run

Distance

S x T

What is the mnemonic word to decide which formula triangle to use trigonometry?

SOKATOA! 'soh cah toa'

What are the formula triangles known as 'soh cah toa'?

Sin Opposite Hypotenuse, Cos Adjacent Hypotenuse, Tan Opposite Adjacent

When one straight line crosses two parallel lines

The two bunches of angles are the same


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