Download - Lisa McNulty Direct Proportion Percentages Fractions Ratios Similar Shapes Conversions Pie Charts
Lisa McNulty
Direct Proportion
• Percentages
• Fractions
• Ratios
• Similar Shapes
• Conversions
• Pie Charts
Lisa McNulty
6
3
20
12
7
4
20
15
10
5
8
5
Which fraction is the same as
this one?
Lisa McNulty
6
3
20
12
7
4
20
15
4
3
8
5
Which fraction is the same as
this one?
Lisa McNulty
6
3
20
12
7
4
20
15
40
25
8
5
Which fraction is the same as
this one?
Lisa McNulty
6
3
20
12
7
4
20
15
5
3
8
5
Which fraction is the same as
this one?
Lisa McNulty
40 0
1 2 3 4 5 6 7 8 9
4 8 12 16 20 24 28 32
36
0 10
If 1 book costs £4 and 2 books cost £8 etc…
We can represent this by using a number line like the one below
Number of books
Cost (£)
Lisa McNulty
0 40
1 2 3 4 5 6 7 8 9
4 8 12 16 20 24 28 32 36
0 10
If we write the pairs of numbers as fractions we get the following:
4
1
8
2
12
3
16
4
20
5
24
6
28
7
32
8
36
9
40
10== == == == =
1
4
2
8
3
12
4
16
5
20
6
24
7
28
8
32
9
36
10
40== == == == =
Lisa McNulty
0 50
1 2 3 4 5 6 7 8 9
5 10 15
20 25 30 35 40
45
0 10
If 1 CD costs £5 and 2 CD’s cost £10 etc…
We can represent this by using a number line like the one below
Number of books
Cost (£)
Lisa McNulty
1 2 3 4 5 6 7 8 9
5 10 15 20 25 30 35 40 45 0 50
0 10
If we write the pairs of numbers as fractions we get the following:
5
1
10
2
15
3
20
4
25
5
30
6
35
7
40
8
45
9
50
10== == == == =
1
5
2
10
3
15
4
20
5
25
6
30
7
35
8
40
9
45
10
50== == == == =
Lisa McNulty
If 6 apples cost £1.50 then what is the cost of
10 apples?
Lisa McNulty
6 Apples cost £1.50, what would be the
cost of 10 Apples?
Extract Information:
Apples 6 10
Cost £1.50 ?
Question:
Calculation: Answer in Context:
10
?
6
50.1
?106
50.1x
50.2? The cost of 10
Apples would be £2.50
Laying out the solution
Lisa McNulty
If an ipod costing £94 is reduced by 16% in a sale, then what is the
sale price?
Lisa McNulty
An ipod cost £94, what is the
cost if it is reduced by 16%
Extract Information:
Cost ? 94
% 84 100
Question:
Calculation: Answer in Context:
84
?
100
94
?84100
94x
96.78? The cost of the ipod
would be £78.96
Laying out the solution
Lisa McNulty
If Jimmy scores 32 out of 46 in a test what percentage is this?
Lisa McNulty
Jimmy scores 32 out of 46 in a
test. What % is this?
Extract Information:
Score 32 ?
Out of 46 100
Question:
Calculation: Answer in Context:
100
?
46
32
?10046
32x
6.69? Jimmy got 69.6% in
the test.
Laying out the solution
Lisa McNulty
80 students were asked about their favourite type of music. 27 said they preferred Rock music, how large would the angle be in a Pie
Chart?
Lisa McNulty
27 out of 80 people like Rock
music – what angle is this in a
Pie Chart?
Extract Information:
Votes 27 ?
Sections 80 360
Question:
Calculation: Answer in Context:
360
?
80
27
?36080
27x
5.121? The angle for Rock
music would be 121.50
Laying out the solution
Lisa McNulty
Misia has her wages increased by 6%. If her new wages are £8.45 per hour, what was she
earning before?
Lisa McNulty
If I earn £8.45 after a 6%
increase – what was I earning
before?
Extract Information:
Wage ? 8.45
% 100 106
Question:
Calculation: Answer in Context:
100
?
106
45.8
?100106
45.8x
97.7? Misia used to earn £7.97 before the wage increase.
Laying out the solution
Lisa McNulty
Billy is mixing some paint and is told to used 5 litres of red paint for every
4 litres of white. He has to use 42 litres of red paint – how much white
paint will he need?
Lisa McNulty
If 5 litres of red needs 4 litres of white – then 42
litres of red needs ? white
Extract Information:
Red 5 42
White 4 ?
Question:
Calculation: Answer in Context:
42
?
5
4
?425
4x
6.33? You would need 33.6 litres of white paint to go with the 42 litres of
red
Laying out the solution
Lisa McNulty
Jane gives a gift of £900 to her two friends Celia and Ray in the ratio 3:5.
How much money does Celia receive?
Lisa McNulty
£900 is to be split in the ratio 3:5.
How much was the smaller amount?
Extract Information:
Question:
Calculation: Answer in Context:
8
900
3
?
?38
900x
5.337? Celia received
£337.50 from her friend
Laying out the solution
Money ? 900
Share 3 5 8
Lisa McNulty
I bought some shares for £2400 and sold them recently for £3150 – what
percentage increase is this?
Lisa McNulty
Shares costing £2400 were sold for £3150 What % increase is
this?
Extract Information:
Question:
Calculation: Answer in Context:
3150
?
2400
100
?31502400
100x
25.131? My shares have
increased in value by 31.25%
Laying out the solution
Value 2400 3150
% 100 ?
Lisa McNulty
If two shapes below are similar, then what is the missing length?
23cm
36cm
8cm
? cm
Lisa McNulty
If 23 scales down to 8 then what does 36 scale
down to?
Extract Information:
Question:
Calculation: Answer in Context:
36
?
23
8
?3623
8x
52.12? The missing length is
12.52 cm
Laying out the solution
Large 23 36
Small 8 ?
Lisa McNulty
5 miles = 8 km approximately.
The distance between Southampton and Birmingham is 133 miles. What
is the distance in km?
Lisa McNulty
If 5miles = 8km
How far is 132 miles in km?
Extract Information:
Miles 5 132
Km 8 ?
Question:
Calculation: Answer in Context:
132
?
5
8
?1325
8x
2.211? 132 miles is
approximately 211km
Laying out the solution
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