GCSE Maths Higher Formula Sheet PDF

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Updated 3/25/13

This eBook is a compilation of the math formulas that we highly recommend that you know for the GRE. It also includes some excerpts from the Magoosh GRE

FORMULAS FOR PERIMETER AREA

VOLUME

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Lowest Common Multiple

The LCM of two numbers, a and

b, is

Area of a Sector

Length of an Arc

Compound Growth & Decay

The amount after nyears (or days, etc.) is:

where r is the rate of change.

The േmeans + for growth and -for decay

Constructing Pie Charts

Aൌ"...

The angle to draw for each

sector is

Quadratic Sequences

The nthterm of a quadratic sequence is in the

form an2+ bn+ c, where

2a= 2nddifference

3a + b= 1stdifference (between 1stand 2ndterm)

a + b + c= 1stterm in the sequence

Equation of a straight Line

Given a point (x1, y1)and the gradient

m, the equation of a straight line is Substitute the numbers in, expand and simplifyPerpendicular Gradients

Given a gradient of a line

m, the gradient of the line perpendicular to it is:

Direct & Inverse Proportion

If xis directly proportional to yn

then

If xis inversely proportional to yn

then so so Length of diagonal across a Cuboid (3D Pythagoras) d2= a2+ b2+ c2 abc

Median from a Histogram/Frequency Table

Lis the lower limit of the median class

m is the median point pis the total frequency of the previous bars f is the frequency of the median class wis the class width of the median class

݂ൈݓStratified Sampling

The frequency for a group in a

stratified sample is

Angles in Polygons

3-""Aൌሺ݊െ-ሻൈͳͺ-ι

Where nis the number of sides of the shape

Exterior Angles add up to 360o

One exterior angle in a REGULAR polygon:

Pairs of Interior and Exterior Angles add up to 180o͵͸-ι

Midpoint of two points

between (x1, y1) and (x2, y2)