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61 questions at your level
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Level 1
Level 2
Level 3
Level 4
Level 5
Percentage change and multipliers
24 questions
Lesson
Not started
Mark as done
Two shops sell the same bicycle.
Shop A: priced at £320, with 15% off.
Shop B: priced at £298, with 10% off.
Work out which shop sells the bicycle more cheaply, and by how much.
You must show your working.
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Level 4
4 marks
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Mark as done
A laptop has a list price of £1850. A retailer applies the following changes in order: a 20% increase for the new model year, then a 5% loyalty discount on that increased price, then 20% VAT is added.
Work out the final price. Give your answer to the nearest penny.
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Level 4
4 marks
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Mark as done
In a maths exam, Aisha scored 63 out of 90 on Paper 1 and 52 out of 80 on Paper 2.
Work out her overall percentage across both papers combined. Give your answer to 1 decimal place.
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Level 4
3 marks
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Mark as done
Leo bought some shares for £
1250
1250
1250
.
He later sold them for £
1075
1075
1075
.
Work out his percentage loss.
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Level 4
2 marks
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Mark as done
Last year, Zara's monthly rent rose from £
650
650
650
to £
702
702
702
, and her monthly salary rose from £
1800
1800
1800
to £
1926
1926
1926
.
Did her rent or her salary rise by the greater
percentage
? You must show your working.
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Level 4
3 marks
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Reverse percentages
19 questions
Lesson
Not started
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After a 5% pay rise, a teacher's salary is £26 250.
(a)
Work out the salary before the rise.
(b)
The following year the salary rises again, to £27 300. Work out the percentage rise in that second year.
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Level 4
4 marks
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Mark as done
A plumber's bill is £312, which includes VAT charged at 20%. Work out the amount of VAT charged.
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Level 4
3 marks
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Mark as done
A phone is reduced by 30% in a sale to £154. Nadia says the original price was £200.20, because she worked out 30% of £154 and added it on.
(a)
Explain the error in Nadia's method.
(b)
Work out the correct original price.
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Level 4
3 marks
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Mark as done
The price of a train ticket rose by
8
%
8\%
8%
this year. It now costs £
5.94
5.94
5.94
.
Work out the price of the ticket
before
the rise.
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Level 4
2 marks
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Mark as done
A restaurant bill comes to £
456
456
456
, which
includes
VAT charged at
20
%
20\%
20%
.
(a)
Work out the amount of the bill before VAT was added.
(b)
Work out the amount of VAT charged.
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Level 4
3 marks
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Mark as done
After drying, a batch of clay has lost
35
%
35\%
35%
of its weight.
The dried clay weighs
32.5
32.5
32.5
kg.
Work out the weight of the clay before drying.
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Level 4
2 marks
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Mark as done
At the start of 2024 Dev invested some money in a savings account.
The account paid
2.5
%
2.5\%
2.5%
compound interest each year.
At the end of 2024
interest was added to the account
then Dev took £500 from the account.
At the end of 2025
interest was added to the account
then Dev took £1200 from the account.
There was then £5011.50 in the account.
Work out how much money Dev invested at the start of 2024.
You must show all your working.
(4 marks)
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Level 4
4 marks
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Compound growth and decay
20 questions
Lesson
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A car is worth £18 500. It depreciates by 14% of its value each year. Work out the value of the car after 4 years. Give your answer to the nearest pound.
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Level 4
3 marks
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£6000 is invested for 5 years.
Account A pays 4%
simple
interest per year.
Account B pays 3.6%
compound
interest per year.
Work out which account earns more interest over the 5 years, and by how much. Give your answer to the nearest penny.
You must show your working.
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Level 4
4 marks
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Mark as done
A colony of bacteria has a population of 8000 and grows by 5% each hour.
(a)
Write down an expression for the population after
t
t
t
hours.
(b)
Work out the population after 6 hours. Give your answer to the nearest whole number.
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Level 4
3 marks
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Mark as done
£
8000
8000
8000
is invested for
2
2
2
years.
The account pays
2
%
2\%
2%
interest in the first year and
3.5
%
3.5\%
3.5%
interest in the second year.
Work out the value of the investment at the end of the
2
2
2
years.
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Level 4
3 marks
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Mark as done
Ola has £
2000
2000
2000
to invest for
4
4
4
years.
Account A pays
3
%
3\%
3%
compound
interest per year. Account B pays
3.2
%
3.2\%
3.2%
simple
interest per year.
Which account gives more interest over the
4
4
4
years, and by how much? (4 marks)
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Level 4
4 marks
Start
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Mark as done
At the start of 2024 Dev invested some money in a savings account.
The account paid
2.5
%
2.5\%
2.5%
compound interest each year.
At the end of 2024
interest was added to the account
then Dev took £500 from the account.
At the end of 2025
interest was added to the account
then Dev took £1200 from the account.
There was then £5011.50 in the account.
Work out how much money Dev invested at the start of 2024.
You must show all your working.
(4 marks)
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Level 4
4 marks
Start
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