# higher_percentages_revision

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```					Percentages Revision                                      Les Quennevais School                                             Created by
Derek John

Key stage 4 Mathematics

AQA Module 3 Numbers & Algebra
Percentages Revision

Name:

Score Revision Questions                       0%

Instructions
Complete the questions in the boxed space provided and alongside will appear a Y (correct) or N (incorrect)

Your score depends upon having a "Y" against each answer box, including the different stages of working for the question.

Percentage / Decimal / Fraction Conversion
1      Express each percentage as a decimal

a)           50%                                       b)            12%

c)           40%                                       d)            34%

e)          17.5%                                      f)            0.7%

2      Express each percentage as a fraction in its lowest terms

a)           25%                                       b)            12%

c)           40%                                       d)            34%

e)          17.5%                                      f)            0.7%

3      Express the following as a percentage
1
a)                                                     b)            0.23
8
c)            12                                       d)            0.34
40

Express one number as a percentage of another
4      In a French test, Lauren scored 17 out of 20. What percentage is this?

5      87 out of 120 pupils at Les Quennevais School have access to a
computer. What percentage is this?
Percentages Revision                                      Les Quennevais School                                              Created by
Derek John

Percentage increase / decrease
6      John bought a new video recorder. The tag in the shop said it cost £299 + VAT. If VAT is charged at 17½%
how much did he pay? Remember to round currency to 2 decimal places (in this case pence)
£

7      Four friends stay at the Pickled Parrot Hotel for a night and each have an evening meal. Bed and Breakfast
costs £37 per person per night and the evening meal costs £15 per person. How much is the total cost, if
£

8      Donald earns an annual wage of £23,000. He doesn't pay tax on the first £3,400 that he earns. How much
income tax does he pay a year if the rate of tax is:
a)             25%                                                       £

b)              40%                                                      £

9      Mr John paid £8,500 for his new Fiat car. Each year the value decreased by 8%.
a)       How much was it worth after one year?                           £

b)          How much was it worth after two years?                       £

10     Jeremy wanted a new sofa for his lounge. A local furniture shop had just what he was looking for, and for only
£1300 + VAT. Jeremy had £1500 in his bank account. If VAT is charged at £17.5%, could he afford the sofa?

Cost of sofa including VAT               £

A quantity as a percentage change of another
11     During a rainstorm, a water butt increased in weight from 10.4 Kg to 13.6 Kg.
What was the percentage increase (to the nearest percent)?
Actual increase

Percentage increase

12     A store reduces the proce of a particular camera from £90 to £78.30. What is the percentage reduction?
Actual decrease

Percentage decrease

13     There are approximately 6000 fish and chip shops in the UK. On average, a fish and chip shop gets 160 customers
a day. Given that the population of the UK is about 60 million, approximately what percentage of the population
go to a fish and chip shop each day?
Total number of fish and chip shop customers

Percentage of the total population

14     At birth, Veronica was 0.3m tall. By adulthood she had grown to 1.5m tall.
Calculate her height now as a percentage of her height at birth.
Change in height.

Percentage change.
Percentages Revision                                        Les Quennevais School                                                    Created by
Derek John

15     Matthew's GCSE maths exam is next week. As part of his revision he attempted 31 questions on his least favourite
of topic of percentages. He got 21 questions fully right on the first attempt. Two days later he tried all 31 questions
and this time he got 29 correct.

a)          What percentage of questions did he get correct on the first attempt?
b)          What percentage of questions did he get correct on his second attempt?
c)          What is the percentage improvement in Matthew's results?

16     I wish to invest £1000 for a period of three years and have decided to invest it with Watts Building Society on
1st January. If I choose the Premier Savings account I will withdraw the interest at the end of each year.
If I choose the Superior Savings account the interest will be added to the capital at the end of each year, but I
will not be able to withdraw the interest.

a)          Calculate the total interest I will receive from the Premier Savings account

b)          Calculate the total interest I will receive from the Superior Savings account

c)          I decide to use the Premier Savings account, but leave the interest in the account rather than
withdraw it. How much interest will I now get after three years?

17     If L = MN, what is the percentage increase in L if M increases by 15% and N increases by 20%?

Reverse Percentages
18     In the new year sales Robyn bought a tennis racket for £68.00. The original price had been reduced by 15%.
What was the original price?

19     There are 360 people living in Tranterton. The population has grown by 20% over the last year.

a)          How many people lived in Tranterton one year ago?

b)          If the village continues to grow at the same rate, in how many whole years will Tranterton be more
than twice its' current size?
Percentages Revision   Les Quennevais School   Created by
Derek John

of working for the question.

of another
Percentages Revision   Les Quennevais School   Created by
Derek John

s looking for, and for only
could he afford the sofa?

f another

chip shop gets 160 customers
percentage of the population
Percentages Revision   Les Quennevais School   Created by
Derek John

uestions on his least favourite
s later he tried all 31 questions

Watts Building Society on

e end of each year, but I

d been reduced by 15%.

will Tranterton be more

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