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
Fractions of Quantities
- If you are finding the fraction of a given number, the important rule to remember is that you must divide by the denominator, and multiply by the numerator.
- If the numerator is one (
) then all you need to do is the division.
Example 1 :
Let’s say that we need to find 
of 54.
We need to divide the value by the denominator first.
54 ÷ 9 = 6
Since the numerator is one, 6 is our answer.
Example 2 :
Let’s try a slightly harder question – we’ll find 
of £77.
- First, we must divide by the denominator.
77 ÷ 7 = 11 (this is 
of our value)
- Next, we have to multiply by the numerator.
11 x 4 = 44
Therefore, of £77 is £44.
1) In 5 ½ how many halves are there?
2) If Sara has 60 sweets and gives away 1/5 of them ,how many does she have left?
- calculate 2/3 of 300
- How did you calculate this ?
3) In 4 ½ Litres how many minutes are there?
4) If you have 21cm what fraction of a meter is this ?
5) Write 70p as a fraction £1. Simplify your answer.
6) There are 60 cars in a car park
1/3 of them are silvers.
1/6 of them are maroon.
4/12 of them are black.
Calculate how many cars there are of each colour.
