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Special Percentage Calculations

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by

Mr Mattock

on 8 October 2016

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Transcript of Special Percentage Calculations

Special Percentage Calculations
Starter

START ANSWER

64 >> x 2 , ÷ 8 , x 3 , x 2 , ÷ 12 , x 11 , + 3 , ÷ 7 , x 2 ………….

32 >> x 3 , ÷ 12 , x 3 , x 2 , ÷ 8 , x 9 , + 2 , ÷ 7 , x 3 ………….

22 >> x 4 , ÷ 11 , x 2 , x 3 , ÷ 6 , x 3 , + 4 , ÷ 7 , x 4 ………….

18 >> x 3 , ÷ 6 , x 4 , x 2 , ÷ 12 , x 7 , + 3 , ÷ 9 , x 3 ………….

48 >> x 2 , ÷ 12 , x 4 , x 3 , ÷ 12 , x 6 , + 6 , ÷ 9 , x 4 ………….

'Per' 'Cent'
'Per' 'Cent' = ÷ 100
L.O. - Understand certain special percentage calculations and why they are more easily calculable.
Starter

START ANSWER

64 >> x 2 , ÷ 8 , x 3 , x 2 , ÷ 12 , x 11 , + 3 , ÷ 7 , x 2 …
26
….

32 >> x 3 , ÷ 12 , x 3 , x 2 , ÷ 8 , x 9 , + 2 , ÷ 7 , x 3 …
24
….

22 >> x 4 , ÷ 11 , x 2 , x 3 , ÷ 6 , x 3 , + 4 , ÷ 7 , x 4 …
16
….

18 >> x 3 , ÷ 6 , x 4 , x 2 , ÷ 12 , x 7 , + 3 , ÷ 9 , x 3 …
15
….

48 >> x 2 , ÷ 12 , x 4 , x 3 , ÷ 12 , x 6 , + 6 , ÷ 9 , x 4 …
24
….

Parts per 100
4% of 100
4% of 200
4% of 300
4% of 500
4% of 1000
Parts per 100
4% of 100 = 4
4% of 200 = 8
4% of 300 = 12
4% of 500 = 20
4% of 1000 = 40
Activity
6% of 100 =
6% of 200 =
6% of 300 =
6% of 500 =
6% of 1000 =
11% of 100 =
11% of 200 =
11% of 300 =
11% of 500 =
11% of 1000 =
12.2% of 100 =
12.2% of 200 =
12.2% of 300 =
12.2% of 500 =
12.2% of 1000 =
0.8% of 100 =
0.8% of 200 =
0.8% of 400 =
0.8% of 700 =
0.8% of 900 =
2.3 % of 100 =
2.3 % of 200 =
2.3 % of = 6.9
2.3 % of 800 =
2.3 % of = 25.3
% of 100 = 3.1
% of 200 =
% of = 15.5
% of 800 =
% of = 62
Parts per 100
% of 100 =

% of 50 =

% of 25 =

% of 10 =

% of 20 =
4
5
4
5
4
5
4
5
4
5
Parts per 100
% of 100 =

% of 50 =
÷ 2 =

% of 25 =
÷ 4 or ÷ 2 =

% of 10 =
÷ 10 or ÷ 5 = =

% of 20 =
÷ 5 or x 2 =
4
5
4
5
4
5
4
5
4
5
4
5
4
5
4
5
4
5
4
5
2
5
2
5
1
5
2
5
4
50
2
25
2
25
4
25
Activity
16% of 100 =
16% of 50 =
16% of 25 =
16% of 10 =
16% of 20 =
6% of 100 =
6% of 50 =
6% of 25 =
6% of 10 =
6% of 20 =
3.2% of 100 =
3.2% of 50 =
3.2% of 25 =
3.2% of 10 =
3.2% of 20 =
% of 100 =
% of 50 =
% of 25 =
% of 10 =
% of 20 =
8
15

8
15

8
15

8
15

8
15

% of 100 =
% of 50 = 80
% of 25 =
% of 10 =
% of 20 =
Parts per 100
7% of 50

14% of 25

14% of 75
Parts per 100
7% of 50 =
50% of 7 = 7 ÷ 2 = 3.5

14% of 25 =
25% of 14 = 14 ÷ 4 = 3.5

14% of 75 =
75% of 14 = 14 ÷ 4 x 3 = 10.5
Activity
Rewrite this these as a new percentage calculation and hence solve.
12% of 50

24% of 25

24% of 75
15% of 50

18% of 25

18% of 75
72% of 50

5.6% of 25

2.6% of 75
Activity
6% of 100 =
6

6% of 200 =
12
6% of 300 =
18
6% of 500 =
30
6% of 1000 =
60
11% of 100 =
11
11% of 200 =
22
11% of 300 =
33
11% of 500 =
55
11% of 1000 =
110
12.2% of 100 =
12.2
12.2% of 200 =
24.4
12.2% of 300 =
36.6
12.2% of 500 =
61
12.2% of 1000 =
122
0.8% of 100 =
0.8
0.8% of 200 =
1.6
0.8% of 400 =
3.2
0.8% of 700 =
5.6
0.8% of 900 =
7.2
2.3 % of 100 =
2.3
2.3 % of 200 =
4.6
2.3 % of
300
= 6.9
2.3 % of 800 =
18.4
2.3 % of
1100
= 25.3
3.1
% of 100 = 3.1
3.1
% of 200 =
6.2
3.1
% of
500
= 15.5
3.1
% of 800 =
24.8
3.1
% of
2000
= 62
Activity
16% of 100 =
16
16% of 50 =
8
16% of 25 =
4
16% of 10 =
1.6
16% of 20 =
3.2
6% of 100 =
6
6% of 50 =
3
6% of 25 =
1.5
6% of 10 =
0.6
6% of 20 =
1.2
3.2% of 100 =
3.2
3.2% of 50 =
1.6
3.2% of 25 =
0.8
3.2% of 10 =
0.32
3.2% of 20 =
0.64
% of 100 =
% of 50 =
% of 25 =
% of 10 =
% of 20 =
8
15

8
15

8
15

8
15

8
15

160
% of 100 =
160
160
% of 50 = 80
160
% of 25 =
40
160
% of 10 =
16

160
% of 20 =
32
8
15

4
15

2
15

2
75

4
75

Activity
Rewrite this these as a new percentage calculation and hence solve.
12% of 50
= 6

24% of 25
= 6

24% of 75
= 18
15% of 50
= 7.5

18% of 25
= 4.5

18% of 75
= 13.5
72% of 50
= 36

5.6% of 25
= 1.4

2.6% of 75 =
1.95
Activities
Activity
Answers

Key
Examples
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