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
Percentages
- When finding the percentage of a shape, it is important to remember that you consider the whole shape to be 100%.
2. Then you have to figure out what each part represents – if the shape is in 4 equal pieces, each piece represents 25% and so on.
Example 1:
The circle would represent 100%. It has been cut into 8 pieces – so we to find out what each piece represents we have to divide 100 by 8, which is 12.5%. 3 of pieces are shaded so this would be 37.5% shaded.
3. When finding the percentage of a number, there are a couple of tricks that you can use – but it’s different for every percentage.
a) You can always find 10% of a number by dividing it by 10 (this is because 10% is 100% divided by 10).
b) You can always find 1% of a number by dividing it by 100.
c) You can find 50% of a number by halving
4. If you want to use a calculator to find a percentage of a number, all you have to do is write the percentage as a decimal then multiply it by that number.
Example 2:
Let’s say we need to find67% of £25.
First we write67% as a decimal – 0.67
0.67 x 25 = 16.75
So, 67% of £25 = £16.75
1)
2) Place a tick against the percentage which is equal to 0.65
3) Tick the number equivalent to 9/100
0.9 0.09
9.0 9.1
4)Chang 30% to a decimal and a fraction fraction
5) Can you charge these fraction into decimal fractions.
6) Place the correct symbol : <,>,=