Addition
1. Line up the units, tens, hundreds and decimal point
2. Start adding at the RIGHT hand side
3. When you CARRY on a number put it BELOW the
answer line
(a) 634 + 528
H T U
6 3 4
+ 5 2 8
1
1
6
1
2
1
(b) 467∙2 + 243∙7
H T U
4 6 7 ∙2
+ 2 4 3 ∙7
7 1 0 ∙9
1
1
Subtraction
1. Put the biggest number on the top before you start
2. Line up the units, tens, hundreds and decimal point
3. Begin subtracting at the RIGHT hand side
4. If the number above is smaller; EXCHANGE 1 from the
top left (take 1 away here).
5. If you have zeros on the top line keep moving left until
you find a unit from which you can exchange
1. 726 – 395
We cannot subtract 9
from 2, so we exchange
1 from the 7, to make
the 2 become 12. The 7
becomes a 6.
H T U
6
−
1
7
3
2
9
6
5
3
3
1
2. 800 – 637
H T U
7
−
19
We can’t exchange 1 from 0
so we go all the way along to
the 8 to exchange 1, and
then make 10 so that we can
1
8
6
0
3
0
7
1
6
3
exchange 1. The 10 becomes
a 9.
Multiplication
 Write the number being multiplied on the top
 Start multiplying from right to left.
 When you CARRY on a number put it BELOW the
answer line
6 × 7 = 42, carry the 4
347 × 6
6 × 4 = 24, add the 4 to
give 28, carry the 2
6 × 3 = 18, add the 2 to
H T U
3
2
0
2
4
7
×
6
8
2
4
give 20
Division
 Write the number being divided inside
 Write the number you are dividing by outside
 Start dividing to see how many might ‘go into’ the first
number
 If you have an answer that fits exactly then put the
answer above the line
 If there is a remainder carry it across to the next digit
to the right
 If it does not fit exactly at the end, use a decimal point
to continue to divide until necessary
1. 640 ÷ 4
4 goes into 6 once, with
2 left over.
1
6
0
The 2 now becomes 24,
2
4
6
4
with the 4.
0
Do not write 13 ‘remainder ‘3.
Use a decimal point.
2. 81 ÷ 6
1
3∙
2
6
8
1 ∙
5
3
0
The 3 becomes 30 tenths.
% Percentages %
Percentage Fraction
Method
1%
Divide by 100
5%
Find 10 % then divide by 2
10 %
Divide by 10
20 %
Divide by 5
25 %
Divide by 4
33 ⅓ %
Divide by 3
50 %
Divide by 2
66 ⅔ %
Divide by 3 then multiply by 2
30 %, 60 % etc
Find 10 % then multiply by 3 or 6
4 %, 7 % etc
Find 1 % then multiply by 4 or 7
%
%
% Percentages %
To find a percentage of a quantity we can
consider the methods from the table.
Example
A recent study showed that 11% of all football injuries are
ankle related.
How many ankle injuries could be expected in
500 football injuries?
First notice 11 % = 10% + 1%
Find 10% of 500 = 500 ÷ 10
= 50
Find 1% of 500 = 500 ÷ 100
=5
Now add your answers: 50 + 5 = 55.
55 ankle injuries would be expected.
%
%
%
Percentages
%
To change a fraction to a percentage we can
divide the numerator by the denominator and
multiply by 100
Example
9 of Mark’s 45 Facebook friends ‘like’ his status.
What percentage is this?
First write as a fraction:
Then using a calculator: 9 ÷ 45 × 100 = 20%
(Divide numerator by denominator and multiply by 100)
20% of Mark’s friends like his status.
French Test Score
Find your percentage:
28 ÷ 40 × 100 = 70%
%
Well Done!
%
%
Percentages
%
Using a Calculator
To find a percentage of a quantity we divide
the percentage by 100 then multiply the
amount.
Example
24% of the 300 passengers on a boat have a return ticket.
How many passengers is this?
Find 24% of 300 using a calculator:
24 ÷ 100 × 300 = 72
72 passengers have a return ticket.
%
%
Fractions
s
⅕
⅜
To find a fraction of a quantity we divide by the
denominator then multiply by the numerator.
We say ‘three eighths’
Example:
Alice spent
of her pocket money on a magazine.
Alice gets £4 pocket money each week.
What was the cost of the magazine?
First find
of £4 by dividing £4 by 5
Divide by the
denominator
0
∙
8
0
4
5
4
∙
0
0
Then multiply your answer by 2 to find
Length
10 mm = 1cm
100 cm = 1 m
1000 m = 1 km
Multiply by the
Weight
numerator
Volume
0 1,000∙ml = 18litre 0
×
2
100 cl = 1 litre
1
∙
6
0
1
10 dl = 1 litre
1,000
1,000 mg = 1g
1,000 g = 1kg
1,000 kg = 1 tonne
= 1 litre
The magazine cost £1∙60
⅓
⅙
Measure
Length
Volume
Weight
10mm = 1cm
1000ml = 1 litre
1000mg = 1g
100cm = 1m
100cl = 1 litre
1000g = 1kg
1000m = 1km
10dl = 1 litre
1000kg = 1 tonne
1000
= 1 litre
Length
÷ 10
mm
÷ 100
cm
X 10
÷ 1000
m
km
X 100
Volume
X 1000
Weight
÷ 1000
Millilitres
÷ 1000
Litres
X 1000
Grams
Kilograms
X 1000
Graphs
Collect and organise data using a table
Display your information using a suitable graph
Make it accurate. Make it clear
LABELS INFORMATION SCALES
TITLE
Keeping Fit Activites
14
12
Frequency
10
8
6
4
2
0
Football
Golf
Gymnastics
Activity
Horse Riding
Swimming