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GCSE Maths Formulae
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Learn Maths formulas for GCSE
Terms in this set (56)
Exterior angle
360 / number of sides
Interior angle
180 - Exterior angle
Area of triangle
1/2 x B x H
Area of parallelogram
B x H
Area of trapezium
1/2 x (total of parallel sides) x H
Area of circle
π x r2
Circumference of circle
π x D
Area of sector
Angle of sector / 360 x Area of circle
Length of arc
Angle of sector / 360 x Circumference of circle
Volume of cuboid
L x W x H
Volume of prism
Cross sectional area x length
Volume of sphere
4/3 x π x r3
Volume of pyramid
1/3 x Base Area x H
Volume of cone
1/3 x π x r2 x H
Volume of frustum
V of origional cone - V of removed cone
Surface area of solid
Area of net
Surface area of sphere
4 x π x r2
Surface area of cone
(π x r x l) + (π x r2)
Surface area of cylinder
(2 x π x r x h) + (2 x π x r2)
Angles in a triangle
Add up to 180
Angles on a straight line
Add up to 180
Angles in a quadrilateral
Add up to 360
Angles round a point
Add up to 360
Exterior angle of a triangle
equals sum of opposite interior angles
Isosceles triangle
Two sides are the same. Two angles are the same.
When one straight line crosses two parallel lines
The two bunches of angles are the same
Alternate angles (Z angles)
Are the same
Supplementary angles (U angles)
Add up to 180
Corresponding angles (F angles)
Are the same
Sum of interior angles (irregular polygons)
(number of sides - 2) x 180
Sum of exterior angles (irrregular polygons)
360
Density
M / V
Mass
D x V
Volume
M / D
The formula triangle for mass density and volume would be?
M
D x V
Distance
S x T
Speed
D / T
Time
D / S
The formula triangle for distance speed and time would be?
D
S x T
Pythagoras' theorem
a2 + b2 = h2
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
The sine rule
a / sinA = b / sinB = c / sinC
The cosine rule
a2 = b2 + c2 - 2bc COS A or
COS A = b2+c2-a2 / 2bc
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
What formula is used to determine where an x point meets a y point on a particular line?
y=mx+c
In factorising quadratic equations a minus and a minus makes a?
plus then a minus
In factorising quadratic equations a minus then a plus makes a?
minus 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 is a acute angle?
An angle between 0 and 90
What is a obtuse angle?
An angle between 90 and 180
What is a reflex angle?
An angle between 180 and 360
What is a right angle?
An angle that is exactly 90
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