Table of Contents
Unit 1 | Algebra
Page 1 | Expressions and Formulae
Page 3| Solving Linear Equations
Page 4| Expanding and Factorising
Page 5| Factorising Quadratics and expanding double brackets
Page 6| Patterns and Sequences
Page 7| Simultaneous Equations
Page 8| Changing the subject of a Formula
Page 9| Adding , subtracting algebraic formulas
Unit 2 |Graphs
Page 1 | Straight line graphs
Page 2 | Graphs of Quadratic functions
Unit 3 |Geometry and Measure
Page 2 | Symmetry
Page 3 | Coordinates
Page 4 | Perimeter, Area, Volume
Page 6 | Measurement
Page 7 | Trigonometry
Page 8 | Pythagoras
Page 9 | Angles
Page 10 | Shapes
Page 11| Time
Page 12 | Locus
Unit 4 | Numbers
Page 1 | Speed, Distance and time
Page 2 | Rounding and estimating
Page 3 | Ratio and proportion
Page 4 | Factors, Multiples and primes
Page 5 | Powers and roots
Page 7 | Positive and negative numbers
Page 8 | Basic operations
Page 9 | Fractions
Page 10 | Percentages
Unit 5 | Statistics and Probability
Page 1 | Sampling data (MA)
Page 2 | Recording and representing data
Page 3 | Mean median range and mode
Page 4 | Standard deviation
Unit 4 | Calculus
Surface Area
L.O – To be able to calculate the surface area of a sphere, cone and cylinder. Also, to the able to match 3D shapes with their associated nets
Surface area = total area of all the outer surfaces of a 3D shape added together
Sphere :
Make sure you check which formulas are on the formula sheet of your exam!
The ones which aren’t, you will have to learn.
Example 1:
Calculate the surface area of this sphere
– Surface area = 4πr2
= 4 x π x 32
= 36π
Example 2:
Calculate the surface area of a cone with r = 5cm and l = 11cm
– Surface area = πrl + πr2
= (π x 5 x 11) + (π x 52)
= 55π + 25π
= 80π
Example 3:
Calculate the surface area of this cylinder
– Surface area = 2πrh + 2πr2
= (2 x π x 2 x 5.6) + (2 x π x 22)
=
Questions:
Net:
A net is a 2D representation of a 3D shape.
