Why not visit www.bbc.co.uk/schools/ks2bitesize/maths/ for activities, revision and quizzes?
Why not visit www.bbc.co.uk/schools/ks2bitesize/maths/ for activities, revision and quizzes?
Looking at this booklet will
fill some of your time
Learning these facts will help you remember
them
Using these facts will help
you know and apply them
Vitally important!
• KNOW your times tables for QUICK recall. KNOW
the inverse of each.
• Remember that multiplication and division are opposites—
know how to swap them around!
• Remember that addition and subtraction are opposites—
know how to swap them around!
• < ‘is less than’ > ‘is more than’ = ‘is equal to’
Why not ask someone to help you learn these facts at
home and then think of some examples where you
could use them. Some examples are near the end of
the booklet.
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Measurement
‘kIilo’ =1000
‘milli’ = one thousandth
‘centi’ = one hundredth
10mm = 1cm
so…
1.2cm = 12mm, 14.7cm = 147mm
100cm = 1m
so…
104cm = 1.04m,
1kg = 1000g
so…
1003g = 1.003kg, 1030g = 1.030kg
1km = 1000m
so…
1007m = 1.007km, 1070m = 1.070km,
1l (litre) =1000ml so… 3008ml = 3.008l
How many cm in 4.5m?
143cm = 1.43m
308ml=0.308l
How many metres in 0.5km?
Money
2 x 50p =£1.00, 10 x 10p = £1.00,
204p = £2.04,
4 x 25p = £1.00,
5 x 20p = £1
£2.47 = 247p,
4 x £2.50 = £10.00,
4 x £250 = £1000
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Angles
• Degrees in a right angle = 90º
90º
• Degrees in a straight line or 2 right angles = 180º
180º,
• 3 right angle turns (three quarters of a circle)= 270º
270º
• Degrees in a circle,
circle or 4 right angles = 360º
60º
• Degrees in a triangle = 180º
180º
• Angles in an equilateral triangle are 60º+60º+60º=180
180º
180º
• Degrees in a quadrilateral = 360º
360º
Area/Perimeter/Volume
• Area is written in square units e.g. cm2
• Area of a rectangle = length x width.
• Area of a triangle = ½ base x height.
• Perimeter = all the sides added together.
• Volume of a cuboid = length x width x height.
Equivalent Imperial – metric units.
(approximate
(approximate)
imate)
1 pint = ½ l, 1l = 2 pints
2 pounds (lbs) = 1 kg
1 mile = 2 km
1 inch = 2 ½ cm
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Negative numbers
0……+10……+20……+30
-30……-20……-10……
-10….-8….-6….-4….-2….
0….+2….+4….+6….+8….+10
Time
60 seconds = 1 minute,
minute
24 hours = 1 day,
day
365 days = 1 year,
year
60 minutes = 1 hour,
hour
7 days = 1 week,
week
10 years = 1 decade,
decade
52 weeks = 1 year,
year
100 years= 1 century
Number of days in the months:
30 days hath September,
April, June and November,
All the rest have 31,
Excepting February alone.
Which only has but 28 days clear
And 29 in each leap year
24 hour clock
1am = 1:00,
1pm = 13:00,
2pm = 14:00,
7pm = 19:00,
10pm = 22:00
5pm = 17:00,
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Useful Facts
• CoCo-ordinates:
ordinates “Along the corridor and up the stairs”
(3,2) = 3 along and 2 up
• Brackets (…….) means do this first e.g. 4 + (7x5) = 4 + 35 = 39
(4 + 7) x 5 = 11 x 5 = 55
• In column subtraction,
subtraction 2 – 9 cannot be done without swapping
from the next column:
8 23 12
- 3 7 9
8 3 2
- 3 7 9
7
8 123 12
- 3 7 9
4 5 3
line!!!!
If in doubt use a number line
• In division remember to add .00 to help work out decimal answers
instead of remainders:
0
5 2 23 4
5 2 3 4
0 4 6
5 2 23 34
•
• 40
0
0 4 6
5 2 23 34
0 4
5 2 23 34
•
•
8 0
4
0 0
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Fractions
To find a fraction of a number:
“Divide by the bottom, then
multiply by the top”
To find 2/3 of a number, divide
by 3 then x by 2.
For equivalent fractions,
REMEMBER –
e.g:
1
4
2
/2 = /8
/10 = 1/5
2
/3 = 4/6
6
1
/3=2/6
/10 = 3/5
Percentages
% means out of 100
1% = 1/100 = 0.01
10% = 1/10 = 0.1
25%= 1/4 , = 0.25
75% = 3/4 , = 0.75
You can find 21% of a number by finding 10% and 1% and adding
these to make 21% e.g:
21% of 450 10% (divide 450 by 10) = 45
1% (divide 450 by 100) = 450
21% = 10% + 10% + 1% so 21% = 45 + 45 + 4.5 = 94.5
To find 45% of 250 on a calculator, key in
2 5 0 x 4 5 then % (no equals)
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Times Tables
X 1 2 3 4 5 6 7 8 9 10
1
2
3
4
5
6
7
8
9
10
1
2
3
4
5
6
7
8
9
2
4
6
8
10
12
14
16
18 20
3
6
9
12
15
18
21
24
27 30
4
8
12 16 20
24
28
32
36 40
5
10
15
20 25 30
35
40
45 50
6
12
18
24
30 36 42
48
54 60
7
14
21
28
35
42 49 56
63 70
8
16
24
32
40
48
56 64 72 80
9
18
27
36
45
54
63
72 81 90
10
20
30
40
50
60
70
80
10
90 100
This multiplication grid will help you learn your tables. You need to know
all of these and the division facts linked to them e.g:
7 x 8 = 56 so 8 x 7 = 56 and 56 ÷ 7 = 8 and 56 ÷ 8 = 7
Square numbers are shown on here with dashes around them – a
squared number is the result of multiplying a number by itself.
Multiples are any number that can be found by multiplying a given
whole number e.g: Multiples of 8 include 24, 16, 72 and 88 because
these are in the 8 times table
Factors
Factors are whole numbers by which a number can be divided by e.g:
Factors of 30 include 2, 10, 3 and 5 because 30 can be divided by
these numbers to get a whole number answer
Prime Numbers can only be divided by themselves and 1, they have no
other factors
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Averages
There are 3 types of averages when looking at a set of data
Definitions:
MODE: is the one that occurs the
most often.
often
MEDIAN: is the middle number.
TOP TIP:
TIP rearrange the numbers & list
them in order, to help work this out
averages.
MEAN: add up the data to find the total and then divide by the number
of items.
The range:
range the how much the information is spread between the
smallest and largest value.
Mode is 5 eggs because there are more of this number than any other.
Number
of eggs
laid
Day
9
5
5
Monday
Tuesday
Wednesday Thursday
Median is 5 eggs because:
8
3
Friday
If there is an even number of values, take the two
middle numbers, add them together and divide by 2.
Put them in order from largest to smallest 3, 5, 5, 8, and 9.
There are 5 numbers.
The middle number is the third value, which is 5.
Mean is 6 eggs because:
Find the total number of eggs: 9 + 5 + 5 + 8 + 3 = 30
The total is divided by the number of item: 30 divided by 5
The range is from 3 to 9 eggs
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Polygons
Definitions:: a polygon is any flat shape with straight sides
Definitions
Regular shapes have all sides and all angles equal.
Triangles
Triangles:
iangles:
equilateral
isosceles
3 equal sides
3 equal angles of 60o
right angled
scalene
2 equal sides
2 equal angles
1 angle is a right
angle of 90o
oblong
kite
no equal sides
no equal angles
Quadrilaterals:
Quadrilaterals:
square
4 equal sides
4 right angles
4 lines of symmetry
opposite sides are equal
and parallel
2 pairs of equal sides
4 right angles
2 lines of symmetry
opposite sides are equal
and parallel
rhombus
2 pairs of adjacent sides
are equal
1 line of symmetry
1 pair of opposite
angles are equal
parallelogram
4 equal sides
opposite angles are equal
and are parallel
2 lines of symmetry
circle
2 pairs of parallel sides
opposite sides are equal
and are parallel
pentagon
hexagon
delta
trapezium
1 pair of parallel sides
heptagon
octagon
radius
diameter
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USING THESE FACTS
Look through the kitchen cupboards:
• Can you convert the weight of tins and packets from g to kg?
• How about the volume of a can of pop from ml to l?
• How many tins of x would be needed to make 1kg?
How many right angles can you find in one room of the house?
Measure the length and width of a book or box. Can you find its
perimeter and area?
When shopping calculate the cost of 3 items and how much change
you would have or how much more money you would need
need from £5,
£2.55 or £10.
£10. How much would things cost with 10% or 25% off?
Watch the weather on TV. What would the temperature be if it were to
fall by 10oC, 15 oC or 20 oC
Look at the TV schedule:
schedule:
• Which program will be on the longest?
• How much longer is that than the shortest program?
• Can you convert the times from 24 hour clock to am and pm
times?
Practice different methods of the 4 operations (+ - x ÷)). Make sure
you can deal with up to 4 digits, including some with decimals
Look at the weather forecasts
forecasts in a newspaper; calculate the mode,
median and mean over a few days.
KNOW your times tables AND the
division facts linked to them – be able to
give your answers QUICKLY
Why not visit www.bbc.co.uk/schools/ks2bitesize/maths/ for activities, revision and quizzes?