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Page 1

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Negative numbers
When +/-
This is basically the reverse of what it is :

Adding a negative subtracting it

Subtracting a negative adding it




When Multiplying
Positive × positive = positive
Negative × negative = positive
Positive × negative = negative
Negative × positive = negative
If the signs are…

Page 2

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x 67
____
1106
9480
3. Now add your two rows together, and write your answer.

10586

To calculate 748 divided by 51,

1. First, set the sum out as shown:



2. We work out 74 divided by 51, and write the answer above the 4.
1 × 51 =…

Page 3

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Primes:
Prime numbers only divide by themselves and 1, but 1 is NOT a prime number!!

APART FROM 2 AND 5 ALL PRIMES END IN 1,3,7 OR 9 !!

BUT NOT ALL NUMBERS ENDING IN THESE ARE PRIME NUMBERS!!

Factors
The factors of a number are any numbers that divide…

Page 4

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What is the biggest number that goes into both numbers?
Method 1:

1.Here are the list of prime factors of 24 and 36:
24 = 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

2.If we write down the numbers that are the…

Page 5

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Method 2:

1.Work out the HCF factor of each number.

24 = 1,2,3,4,6,8,12,24

36=1,2,3,4,6,9,12,18

2.X's the 2 numbers together then divide by the highest factor

(24 x 36) / 12 = 72

So 72 is the LCM of 24 and 36




Method 3:

1. Work out the primes of each…

Page 6

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X by 100 eg 0.5 x 100 = 50 %

Percentage decimal

/ by 100

Decimals fractions

If there is one number it goes over 10, 2 numbers go over 100

0.6 = 6/10 , 0.12 = 12/100

If the decimal repeats with a single digit, the denominator will be…

Page 7

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Recurring decimals with whole numbers
If a recurring decimal has a number in front of it, then it simply means it is a whole number + the
remaining decimal
Eg 1.33333
This means the fraction would be 1


Fractions
Fractions of a quantity

How do we find 3/5 of 20?…

Page 8

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Dividing

The rule when dividing two fractions is to turn the second fraction upside down, and
multiply.
Eg 2/3 ÷ 3/4 we work out 2
/3 × 4/3 = 8/9
Remember we only turn the fraction we are dividing by (the second one) upside down.


Mixed fractions

This is when…

Page 9

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2. Working out the original price of something after a decrease.

Eg a car falls in value by 30% in a year. After a year it's worth £8,300, find the original
price of the car

100% - 30% = 70%

70% = £8,400

1% = £8400/70 = 1200

100% =…

Page 10

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2sf = 17

1sf = 20



Whenever a measurement is rounded off to a given unit the actual measurement can be anything up
to half a unit bigger of small eg:

A room is given as being 9m long to the nearest metre ­ its actual length could be anything…

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