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Table of Contents

 

 Unit 1 | Algebra

Page 1 | Expressions and Formulae

Page 2 | Index notation

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 1 | Transformations

Page 2 | Symmetry

Page 3 | Coordinates

Page 4 | Perimeter, Area, Volume

Page 5 | Circle geometry

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 6 | Decimals

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


  1.  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:

percentages-example1

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)

percentages-question1 percentages-question2

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 fractionbox fractionbox

5) Can you charge these fraction into decimal fractions.

percentages-question3

6) Place the correct symbol : <,>,=

percentages-question4 percentages-question5

 

 

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