# Multipliers by simeonsrage

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```									                Starter
3:5
4:1
9:7

£64
1:7
17:15

5:3
3:5
4:1
3:1

£120
5:7
17 : 7

5:3
Multipliers
1. What do you multiply 3 by to make 12?
2. What do you multiply 4 by to make 36?

3. What do you multiply 6 by to make 15?

12 ÷ 6 = 2              12 x ? = 2
35 ÷ 7 = 5              35 x ? = 5

÷ 6 is the same as x 1/6

Dividing by a number is the same as multiplying by its
inverse.
To scale 6 to 15

15   To make 6 into 15;
÷ 6 then x 15

This can be written
X 15         as a fraction
6                                         15
6
÷6
So the MULTIPLIER
1                Is:
15
6
To scale 10 to 4

10
What is the multiplier?

÷ 10           4
X4

1
Find the multiplier in each question to
scale from one number to another.

1.   5 to 12
2.   13 to 6
3.   15 to 8
4.   9 to 20
5.   100 to 140
Using a multiplier in a table
To find a missing entry, three related entries are
required.
Find a pair of values you know and find the multiplier.
An alternative way!
x7

5        35
x7          5      35         x7
5                             5          7        n
7      n

n = 35 x 7/5                            x7
n = 35 ÷ 5 x 7 = 49            n = 7 x 7 = 49
or
n = 35 x 7 ÷ 5 = 49
x7

x9         9      n           x9         9         n
20       20     140           20
20        140

x7
n = 140 x 9/20
n = 140 ÷ 20 x 9 = 63         n = 9 x 7 = 63
or
n = 140 x 9 ÷ 20 = 63
4   n
9   54

8   88
5   n

7   140
n   120

4   84
n   105

4   22
n   33
Plenary
Complete the blanks in the table
SET A              SET B                 SET C

42                   6
105
24                   56
357

```
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