7/17/2019 Year 7-10 Formula Sheet

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Year 7-10 Formula Sheet

Year 7

Angles

Vertically opposite angles are equal

 

Alternate angles on parallel lines are equal

 

Corresponding angles on parallel lines are

equal

 

Co interior angles on parallel lines are

supplementary

   

>> 

>> 

 B 

C    D 

 E  

 F  

G 

 H  

125 

o 

o 

>> 

>> 

 B 

C    D 

 E  

 F  

G 

 H  

137 

o 

o 

>> 

>> 

 A   B 

C    D 

 E  

 H  

 F  

G 

 x 

59 

o 

o 

    

 D 

 B 

C  

67      

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Geometry

Angle sum of a triangle is 180°

   

 

Exterior angle of a triangle equals the sum

of the opposite interior angles

   

Angle sum of a quadrilateral is 360°

   

Area and Volume

Area of a rectangle

   

l   is length

b is breadth

Area of a triangle

   

b  is base

h is perpendicular height

Area of a parallelogram

   

b  is base

h  is perpendicular height

Volume of a rectangular prism

 

l   is length

b is breadth

h  is height

 B 

C  

 D 

o 

o 

o 

o 

120

130 

70 

 D 

C  

 B 

47 

68 

o 

o 

o 

 B 

C  

34 

67 

o 

o 

o 

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Year 8

ythagoras’ Theorem 

 

Algebra

Index laws

 

 

 

 

Area and Volume

Area of a trapezium

   

h  is perpendicular height

a, b  are the parallel sides

Area of a kite and rhombus

   

 x, y   are the diagonals

Circumference of a circle    

r   is the radius

d   is the diameter

Length of an arc

 

r   is the radius

Area of a circle

   

r   is the radius

Area of a sector

   

r   is the radius

Volume of a cylinder

 

r   is the radius

h  is the height

a 

c 

b 

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Year 9

ythagoras’ Theorem and Surds 

Surd rules

      

     

   

Trigonometry

Trigonometric ratios

 

 

 

Indices

Index laws

 

  

  

       

Geometry

Angle sum of a convex polygon

      

n  is the number of sides

Exterior angle sum of a convex polygon

    

Surface Area and Volume

Surface area of a cylinder

 

r   is the radius

h  is the height

Coordinate Geometry and Graphs

Length of an interval

   

Midpoint of an interval

 

Gradient of a line

 

Gradient intercept formula

 

m  is the gradient

b  is the y-intercept

Point gradient formula

 

m  is the gradient

θ°  

   o

   o   s   i   t   e

adjacent  

hypotenuse 

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Year 1

Interest and Depreciation

Simple interest

 

I   is the interest

P   is the principal invested

R  is the rate of interest

N   is the number of periods

Compound interest

   

P   is the principal invested

r   is the rate of interest

n  is the number of periods

 A  is the amount after n periods

Depreciation

   

P   is the original value

r   is the rate of depreciation

n  is the number of periods

 A  is the value after n periods

Surface Area and Volume

Surface area of a cone

 

r   is the radius

s  is the slant height

Surface area of a sphere

 

r   is the radius

Volume of a pyramid

  

 A  is the base area

h is the height

Volume of a cone

 

r   is the radius

h  is the height

Volume of a sphere

 

r   is the radius

Equations and Logarithms

Definition of a logarithm

 

Logarithm laws

 

 

 

 

 

Graphs

The parabola

 

The cubic curve

 

The hyperbola

 

The exponential

 

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The circle

 

(a, b)  is the centre

r   is the radius

Trigonometry

Trigonometric relations

     

     

Trigonometric functions

 

     

     

     

Sine rule

 

Cosine rule

 

 

Area rule

   

Quadratic Equations and the

Parabola

Quadratic equation

 

Quadratic formula

 

Axis of symmetry