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Formula flashcards for Pearson Edexcel iGCSE
Mathematics (4MA1) and Further Pure Mathematics
(4PM1)
by Kirsty
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1
Table of Contents
Foundation tier
Higher tier
Further Pure Maths
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SLIDE 3
SLIDE 18
SLIDE 42
2
Foundation Tier (4MA1)
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3
Formula not given in exam
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4
Pythagoras Theorem
- only applies to right angle triangles
- used to find the length of sides
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5
Area of a rectangle
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6
Area of triangle
- sometimes, the diagonal is given so you can use pythagoras theorem to find h
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Area of parallelogram
- use pythagoras theorem to find h
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Volume of cuboid
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Circumference of a circle
- may also be written as ʻperimeterʼ in exam Qs
Area of a circle
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10
Compound measures
- always pay attention to the units given and the units they want in your answer
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11
Trigonometric ratios (right-angled triangles)
o = opposite
a = adjacent
h = hypotenuse
remember:
sOH cAH tOA
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12
nth term (arithmetic series)
a = first term
d = common difference
n = number of terms
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13
Formula given in exam
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14
Area of trapezium
- use pythagoras theorem to find h
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15
Volume of prism
- applicable to any prism
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16
Curved surface area of cylinder
- curved area + area of 2 circle (top + base) = total surface area
Volume of cylinder
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17
Higher Tier (4MA1)
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18
Formula not given in exam
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19
Pythagoras Theorem
- only applies to right angle triangles
- used to find the length of sides
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20
Area of a rectangle
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21
Area of triangle
- sometimes, the diagonal is given so you can use pythagoras theorem to find h
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22
Area of parallelogram
- use pythagoras theorem to find h
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23
Volume of cuboid
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24
Circumference of a circle
- may also be written as ʻperimeterʼ in exam Qs
Area of a circle
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25
Compound measures
- always pay attention to the units given and the units they want in your answer
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26
Trigonometric ratios (right-angled triangles)
o = opposite
a = adjacent
h = hypotenuse
remember:
sOH cAH tOA
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27
nth term (arithmetic series)
a = first term
d = common difference
n = number of terms
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28
Volume of pyramid
- applicable to any pyramid
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29
Sector arc length
- perimeter = arc length + 2r
Area of a sector
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30
Formula given in exam
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31
Area of trapezium
- use pythagoras theorem to find h
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32
Curved surface area of cylinder
- curved area + area of 2 circle (top + base) = total surface area
Volume of cylinder
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33
Volume of prism
- applicable to any prism
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34
Quadratic Formula
- for ax2 + bx + c = 0
- will give 2 values of x
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Sine rule
OR
- used to find a side or angle by using its opposing angle or side respectively
example:
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Cosine rule
- used to find a side by using 2 given sides and its opposing angle
example:
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Area of triangle (non-right angle)
- used to find the area by using 2 sides and 1 angle (not opposing any of the given
sides)
example:
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Curved surface area of cone
- curved surface area + circle (base) area = total surface area
Volume of cone
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Sum to n terms (arithmetic series)
a = first term
d = common difference
n = number of terms
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Surface area of sphere
Volume of sphere
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41
Further Pure Mathematics (4PM1)
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42
Formula not given in exam
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43
Trigonometric ratios (right-angled triangles)
o = opposite
a = adjacent
h = hypotenuse
remember:
sOH cAH tOA
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44
nth term (arithmetic series)
a = first term
d = common difference
n = number of terms
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45
nth term (geometric series)
a = first term
r = common ratio
n = number of terms
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46
Volume of pyramid
- applicable to any pyramid
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47
Sector arc length
degrees:
radians:
Area of a sector
degrees:
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radians:
48
Logarithms
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Roots (quadratics)
additional:
- for ax2 + bx + c
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Coordinate geometry
Gradient
Distance between 2 points
Coordinates of the point dividing the line in a given ratio
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Differentiation
Chain rule
Product rule
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Integration
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Area under a curve
Area between two lines
- top line - bottom line
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Volume of revolution
- if a curve was rotated 360o to form a 3D shape
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Trigonometry Identities
- the rest are given in the formula sheet
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Formula given in exam
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57
Sum to n terms (arithmetic series)
a = first term
d = common difference
n = number of terms
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58
Curved surface area of cone
- curved surface area + circle (base) area = total surface area
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59
Surface area of sphere
Volume of sphere
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Sum to n terms (geometric series)
a = first term
r = common ratio
n = number of terms
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Sum to infinity
a = first term
r = common ratio
- when -1 ≤ r ≥ 1
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Binomial series
- when -1 < x < 1
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Quotient rule (differentiation)
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Trigonometry identities
.
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Logarithms
- b can be any number as long as b > 1
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Acknowledgements and Information:
© r/IGCSE Resources 2022, authored by Kirsty
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