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Find Percentages of an Amount Using a Multiplier

In this worksheet, students will find percentages of any given amount using a multiplier.

'Find Percentages of an Amount Using a Multiplier' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR

Curriculum topic:   Ratio, Proportion and Rates of Change, Fractions, Decimals and Percentages

Curriculum subtopic:   Ratio, Proportion and Rates of Change, Percentages

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

 

 

So, you want to buy that Ferrari?   Well, that requires quite a lot of saving up!  You'll need to start putting some money away from that part-time job of yours.

You can't save it all as you want some money for other things, so the best thing to do is to save a percentage of your earnings.

Remember -  Percent just means ' out of 100', and that 100% means the full amount.  

 

This month you've been paid £320 and you can afford to save 25% of this.

Grab your calculator: input  320 and multiply by this by 0.25.  Did you get £80?    

 0.25 means you do not want the whole amount, hence the zero.  You just want 25% of the whole which is 1.

 

This works for any percentage, have a look:

10% of 625 is 625 x 0.10 =  62.50

15% of 328 is 15 x 0.15 = 49.40

53%  of 497 is 497 x 0.53 = 263.41                                                                

                                                                    

Pen taking noteTake note:

When finding a percentage that is less than 10, you can use multipliers such as 1% = 0.01,  2% = 0.02, 3% = 0.03 etc.

When finding a percentage such as 17.5%, you should use the multiplier 0.175.

 

 

 

 

Match the following sum to the question.  Remember you should use the steps we looked at in the introduction.

 

 

Column A

Column B

12% of 52
25.92
23% of 86
10.08
36% of 72
6.24
18% of 56
19.78

Here's another one for you to work out.  Can you match the following sum with the correct answer?

 

Column A

Column B

7% of 93
0.32
1% of 9
6.51
9 % of 165
14.85
2% of 16
0.09

What is £30% of £753 added to 43% of £421?

 

 

football boots  

The latest Nike football boots are on sale.     They originally cost £128. 

Billy wants to buy them.  The sale states that they are 33% off.

How much does Billy save?

£42.22

£42.28

£42.24

£42.25

ice cream   An ice cream label lists the contents as 12.5% fat.  How much fat is there is 750 g of ice cream?

The population of Spain is 46.72 million people.   43.5% of the population travel by train.  How many people is this?

20.3232

20,323,200

20,323

2,032.32

lion 

Would you rather be attacked by 35% of 120 lions or 20% of 150 lions?

Sarah says that 8% of 542 is £433.60, Derek says that the answer is 43.36 Who is correct?  Give the answer as a name.

Mrs Jones has just moved house and needs to allocate a percentage of her salary to pay the bills.

Mrs Jones earns £1600 per month.  Can you complete the following:

 

What is the difference between 33.3% of £5465 and 22.2% of £4576?

  • Question 1

Match the following sum to the question.  Remember you should use the steps we looked at in the introduction.

 

 

CORRECT ANSWER

Column A

Column B

12% of 52
6.24
23% of 86
19.78
36% of 72
25.92
18% of 56
10.08
EDDIE SAYS
Hopefully, you have remembered to use the multipliers. 0.12, 0.23, 0.36 and 0.18 when calculating these. Always check your calculator display to check you have entered the multiplier correctly. before committing your answer. It's so easy to forget to check.
  • Question 2

Here's another one for you to work out.  Can you match the following sum with the correct answer?

 

CORRECT ANSWER

Column A

Column B

7% of 93
6.51
1% of 9
0.09
9 % of 165
14.85
2% of 16
0.32
EDDIE SAYS
It's easy to freak out when you see a single percentage required. Just remember that any percentage less than 10 needs that extra zero to make you a hero.
  • Question 3

What is £30% of £753 added to 43% of £421?

 

 

CORRECT ANSWER
£406.93
EDDIE SAYS
Mathematicians always have a lot to remember so... when calculating questions such as this, find the first percentage and write it down. Next, find the second percentage and write it down. Finally, add them together. It is too easy to get into a mess by trying to hold a lot of information in your head. £225.90 + 181.03 = 406.93
  • Question 4

football boots  

The latest Nike football boots are on sale.     They originally cost £128. 

Billy wants to buy them.  The sale states that they are 33% off.

How much does Billy save?

CORRECT ANSWER
£42.24
EDDIE SAYS
This type of question could catch us out, but we are too wise for this. When you are working with money make sure your calculator is set to showing answers with two decimal places (d.p) £128 x .33 could show as £42.2 if your calculator is not set correctly and then you would just be guessing. Not good. Top tip - use your own calculator as it will be familiar to you and you will learn how to adjust settings as necessary. You don't want to score any own goals.
  • Question 5

ice cream   An ice cream label lists the contents as 12.5% fat.  How much fat is there is 750 g of ice cream?

CORRECT ANSWER
93.75g
EDDIE SAYS
This type of question can be confusing as there is a decimal point in the percentage. Even a gifted mathematician can only work with one decimal point at a time. When using the multiplier ignore the decimal point from the percentage. 750 x 0.125 = 93.75. Try putting 750 x 0.12.5 into your calculator... see even the calculator gets confused.
  • Question 6

The population of Spain is 46.72 million people.   43.5% of the population travel by train.  How many people is this?

CORRECT ANSWER
20,323,200
EDDIE SAYS
Big numbers like this can drive you mad. They don't need to be complicated though. For this, if you just put 46.72 x 0.435 you would have got 20.3232. Your calculator doesn't know you mean million! Put the original number in as millions e.g 46720,000 x 0.435 = 20,323,200 (around 20 million makes sense doesn't it, as 50% would be around 23 million)
  • Question 7

lion 

Would you rather be attacked by 35% of 120 lions or 20% of 150 lions?

CORRECT ANSWER
20% of 150 lions
20% of 150
20 percent of 150
20 percent of 150 lions
EDDIE SAYS
Quite often you could be asked to compare percentages. You need to calculate both to give an informed answer. 35% of 120 = 42 and 20% of 150 = 30. Neither answer would be great for you though! They would win for sure.
  • Question 8

Sarah says that 8% of 542 is £433.60, Derek says that the answer is 43.36 Who is correct?  Give the answer as a name.

CORRECT ANSWER
Derek
EDDIE SAYS
Sarah made the mistake of using the multiplier of 0.80 instead of 0.08. This is the classic mistake when working out percentages below 10%. 542 x 0.08 = 43.36. So Derek is correct. It's always good to find mistakes (we all make them) as it shows you are checking your work all of the time.
  • Question 9

Mrs Jones has just moved house and needs to allocate a percentage of her salary to pay the bills.

Mrs Jones earns £1600 per month.  Can you complete the following:

 

CORRECT ANSWER
EDDIE SAYS
By now you should be used to applying the multiplier. This is an example of how you can use your skills in these problem-solving questions. Calculate each percentage first, add them together and then subtract from the full amount (£1600). It 's looking like there is enough to go towards a new car too!
  • Question 10

What is the difference between 33.3% of £5465 and 22.2% of £4576?

CORRECT ANSWER
£803.97
EDDIE SAYS
Again don't let a decimal point put you off. 33.3% of £5465 = 1819.845 ( 5465 x 0.333) 22.2% of £4576 = 1015.872 ( 4576 x 0.222) Find the difference just means subtract one from the other. £1819.845 - £1015.872 = £803.973. We are talking about money so round up to 2 d.p = £803.97. Percentage perfection...
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