Multiplication and division

Multiplication scaling problems

Explainer Video

Tutor: Labib


Multiplication scaling problems

In a nutshell

Multiplication scaling, or integer scaling, is a method of comparing different values. You are given some information and have to apply it to smaller or larger values in order to solve a problem.  

Identifying integer scale

By identifying the multiplication scale being used, you can apply scaling to help find new amounts. 

Example 1

Adam bought 33 apples for £2£2. Sally bought £4£4 worth of apples. What scale has been used in this example? How many apples did Sally buy?



Sally has spent 22​ times more than Adam. 

The scale is 2\underline{2}.

33​ apples ×2=6\times 2 = 6 apples

Sally bought 6\underline{6} apples.

Note: When identifying a scale, divide two values which have the same units. In the scenario above this was pounds (££​).

Applying integer scaling 

Integer scaling can be used to calculate a new value by multiplying an old value by the scale. 

Example 2

Jerome buys 44​ cakes for £5£5​. Ahmed wants to buy 33 times more cakes. How much will this cost him? 

3×5=153\times 5 = 15

Ahmed will pay £15\underline{£15}.

Example 3

22 crayons cost 35p35p​. How much will 66​ crayons cost?

Find the scale by dividing the new amount of crayons (6)(6) by the old amount of crayons (2)(2).


Multiply the cost of  22 crayons, 35p35p, by the scale.

35p×3=105p=£1.0535p \times 3 = 105p = £1.05​​

Therefore, 66 crayons will cost £1.05\underline{£1.05}.

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FAQs - Frequently Asked Questions

How do you use a scale to calculate new values?

What is integer scaling used for?


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