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Multiplication scaling problems

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Tutor: Labib

Summary

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?


£4÷£2=2£4\div£2=2

​​

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).


6÷2=36\div2=3


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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Exercises

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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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