Pages in this set

Page 1

Preview of page 1
NUMBERS

Prime Numbers
Prime numbers don't divide by anything except 1 and themselves.

1 is not a prime number
The first four prime numbers are 2, 3, 5, and 7
ALL prime numbers end in 1, 3, 7 or 9
NOT ALL numbers ending in 1, 3, 7 or 9…

Page 2

Preview of page 2
Multiples, Factors and Prime Factors


Multiples
The multiples of a number are simply its times table.

E.g. the multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, etc.



Factors

The factors of a number are all of the numbers that divide into it.

There is a method…

Page 3

Preview of page 3
3

Page 4

Preview of page 4
LCMs and HCFs


LCM ­ `Lowest Common Multiple'
Lowest Common Multiple ­ The SMALLEST number that will DIVIDE BY ALL the numbers
in question.

Method

1) List the multiples of all the numbers.
2) Find the smallest one that is in all of the lists.



Example: `Find the LCM of…

Page 5

Preview of page 5
Recurring Decimals Into Fractions


Example: `Convert 0.22... into a fraction'

Solution:

Consider X = 0.22...
Multiply the equation by 10 10x = 2.22...
Subtract the two equations 9x = 2
Divide through by 9 X = 2/9


X is now a fraction.

NB. Always check if the fractions will CANCEL…

Page 6

Preview of page 6
6

Page 7

Preview of page 7
Fractions
1) Multiplying
Multiply top and bottom separately:

3/5 X 4/7 = 3 x 4/ 5 x 7 = 12/35



2) Dividing
Turn the second fraction upside down and the multiply:

3/4 ÷ 1/3 = 3/4 x 3/1 = 3 x 3/4 x 1 = 9/4



3) Adding, Subtracting
Add…

Page 8

Preview of page 8
8

Page 9

Preview of page 9
Percentages
There are three types of questions for percentages.

Type 1

`Find x% of y' ­ e.g. Find 15% of £46 0.15 x 46 = £6.90

Type 2

`Express x as a percentage of y'

E.g. Give 40p as a percentage of £3.34 (40 ÷ 334) x 100 = 12%…

Page 10

Preview of page 10
Manipulating Surds


Rules

1) a x b = ab e.g. 2 x 3 = 2 x 3 = 6



2) a
= a
b
e.g. 8
= 8
2 = 4 = 2
b 2




3) a + b - NOTHING DOING



4) (a + b) 2 = (a +…

Comments

No comments have yet been made

Similar Mathematics resources:

See all Mathematics resources »See all resources »