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```					                            Ratios

Original         Simplified             Factors
1    27    : 9    ->   3 : 1         Divide both sides by   9    Ratios
2    20    : 4    ->   5 : 1         Divide both sides by   4
3    15    : 3    ->   5 : 1         Divide both sides by   3    Ratios must be
4    24    : 2    ->   12 : 1        Divide both sides by   2    presented as the
5    25    : 5    ->   5 : 1         Divide both sides by   5    simplest whole
6    60    : 20   ->   3 : 1         Divide both sides by   20   numbers.
7    75    : 25   ->   3 : 1         Divide both sides by   25
8    35    : 10   ->   7 : 2         Divide both sides by   5    Find numbers that will
9    49    : 21   ->   7 : 3         Divide both sides by   7    divide into both sides.
10   45    : 9    ->   5 : 1         Divide both sides by   9
These are called
11   56    : 16   ->   7 : 2         Divide both sides by   8
factors.
12   100 : 10     ->   10 : 1        Divide both sides by   10
13   39    : 13   ->   3 : 1         Divide both sides by   13   Complete numbers 6
14   14    : 7    ->   2 : 1         Divide both sides by   7    to 25
15   10    : 16   ->   5 : 8         Divide both sides by   2
16   42    : 35   ->   6 : 5         Divide both sides by   7
17   32    : 64   ->   1 : 2         Divide both sides by   32
18   18    : 6    ->   3 : 1         Divide both sides by   6
19   100 : 150    ->   2 : 3         Divide both sides by   50
20   99    : 3    ->   33 : 1        Divide both sides by   3
21   51    : 34   ->   3 : 2         Divide both sides by   17
22   70    : 10   ->   7 : 1         Divide both sides by   10
23   11    : 44   ->   1 : 4         Divide both sides by   11
24   32    : 36   ->   8 : 9         Divide both sides by   4
25   121 : 55     ->   11 : 5        Divide both sides by   11
Averages
Data Sets     1             2             3             4            5             6              7

34           72            1             3             6            24              56
66           13           29            75             46           28              38
92           84           63            83             90           22              61
38           49           31            73             79           25              11
Total      230          218           124           234           221           99             166
Divide by 4    ÷4           ÷4           ÷4            ÷4           ÷4            ÷4               ÷4
Average =     57.5         54.5          31           58.5         55.25         24.75            41.5

Averages

There are seven sets of numbers above. In each set add up the numbers and
divide by the number of numbers, in this case four. This will give the average.
Complete the averages.
Percentages

%
27    out of       151      =    17.88
12    out of        34      =    35.29
50    out of       100      =    50.00
23    out of        67      =    34.33
1     out of       200      =    0.50
65    out of       177      =    36.72
39    out of        69      =    56.52
27    out of        82      =    32.93
83    out of        90      =    92.22
71    out of        94      =    75.53
42    out of        47      =    89.36
72    out of        99      =    72.73

Percentages

To calculate a percentage divide the first number
by the second number and multiply by 100
Complete the percentages.

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