EDEXCEL FORMULAE You need to know this for your GCSE (Higher tier only formulae are indicated) .

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EDEXCEL FORMULAE You need to know this for your GCSE (Higher tier only formulae are indicated) www.mathssandpit.co.uk/blog

Transcript of EDEXCEL FORMULAE You need to know this for your GCSE (Higher tier only formulae are indicated) .

Page 1: EDEXCEL FORMULAE You need to know this for your GCSE (Higher tier only formulae are indicated) .

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EDEXCEL FORMULAE

You need to know this for your GCSE

(Higher tier only formulae are indicated)

Page 2: EDEXCEL FORMULAE You need to know this for your GCSE (Higher tier only formulae are indicated) .

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AREA

Rectangle = l × w

l

w

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AREA

Parallelogram = b × h

b

h a

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AREA

Triangle = b × h

b

h

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AREA

Trapezium = (a+b) × h

b

h

a

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Circles

Circumference = π × diameterC = πd

Diam

eter

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Circles

Circumference = 2 × π × radiusC = 2πr

Centre

Radiu

s

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Circles

Area = π × radius × radius A = πr2

Centre

Radiu

s

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VOLUME

Cuboid = × w × h

𝑙

h

w

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VOLUME

Prism = × length

𝑙

Areaof

cross section

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VOLUME

h

r

Cylinder = area of circle × heightCylinder = πr2h

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VOLUME

Pyramid = area of base × height

h

Higher tier only

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COMPOUND MEASURES

Speed = Distance ÷ Time

The clue is in the units eg speed in m/s, indicates metres ÷ seconds

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COMPOUND MEASURES

Density = Mass ÷ Volume

The clue is in the units eg density in g/cm3, indicates weight in grams ÷ volume in cm3

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COMPOUND MEASURES

Pressure = Force ÷ Area

The clue is in the units eg speed in N/m2, indicates force in Newtons ÷ area in m2

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RIGHT-ANGLED TRIANGLES

Pythagoras

a2 + b2 = h2

(h is always the hypotenuse)

h

a

b

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RIGHT-ANGLED TRIANGLES

Trigonometryhyp

adj

opp

x⁰sin (𝑥 ° )=𝑜𝑝𝑝

h𝑦𝑝

cos (𝑥 ° )= 𝑎𝑑𝑗h𝑦𝑝

tan (𝑥 ° )=𝑜𝑝𝑝𝑎𝑑𝑗

Check your calculator is in degrees

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NON-RIGHT-ANGLED TRIANGLES

Sine Rule

B

C

A

asin ( 𝐴)

=𝑏

sin (𝐵)=

𝑐sin (𝐶 )

Check your calculator is in

degrees

ab

c

Higher tier only

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NON-RIGHT-ANGLED TRIANGLES

Cosine Rule

B

C

A

𝑎2=𝑏2+𝑐2−2𝑏𝑐×𝑐𝑜𝑠 (𝐴)Check your

calculator is in degrees

ab

c

Higher tier only

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NON-RIGHT-ANGLED TRIANGLES

Area of a triangle

B

C

A

Area = Check your

calculator is in degrees

ab

c

Higher tier only

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Algebra

Quadratic Equations Higher tier only

The solutions of ax2+bx+c=0,

where a≠0, are given by: