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
Properties of Numbers
Differentiating between odd and even numbers is very simple.
All of the even numbers will end in 2, 4, 6, 8 or 0. Even numbers can all be divided by two.
All of the odd numbers will end in 1, 3, 5, 7 or 9.
People sometimes get confused between factors and multiples.
Factors of a specific number are the numbers that can fit into it exactly when multiplied.
For example, the factors of 20 would be 1, 2, 4, 5, 10 and 20. All of these numbers can be multiplied and fit exactly into 20.
When finding factors, you might find it easier to find them in pair. For 20, you could do this by realising that 2 x 10 = 20 so 2 and 10 are both factors.
Multiples are the numbers of a times table.
For example, the multiple of 6 would be 6, 12, 18, 24, 30 etc.
A prime number is a number that only has itself and 1 as its factors. 7 is a prime number because no number can multiply to make 7 other than 1 x 7.
A square number is a the answer when you multiply a number by itself. For example, 6 x 6 = 36 so, 36 is a square number.
A square root of a number is the number that needs to be multiplied by itself to get the number we have. So if we wanted find the square root of 36, it would be 6 because 6 multiplied by itself would become 36.
There are a few tricks in figuring out which numbers are in certain times tables.
Numbers divisible by 5 will end in 5 or 0
Numbers divisible by 3 will have digits that add up to a number divisible by 3 (eg 84 – 8 + 4 = 12 and 12is divisible by 3)
Numbers divisible by 9 will have digits that add up to a number divisible by 9 (eg 117 – 1 + 1 + 7 = 9 and 9 is divisible by 9)
Numbers divisible by 4 will have the last two digits divisible by 4 (eg 8724 – the last two digits are 24 and 24 is divisible by 4)
Properties of Numbers Exercise
1) Complete this number so its a multiple of 8
5
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2) Identify the number that are prime numbers.
11 6 14 19 41 77
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5) A shop marks 12732 pizzas every month.Pizzas are sold in packs of four.
a) Without dividing there will be no pizzas left over.
b) The shop decides to pack the pizzas into packs of five
Explain how you can check whether there will be any pizza left over.
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7) Circle all the number which are factors of 45.
5 7 11 10 3 8 9
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