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Level 1
Level 2
Level 3
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Percentage change and multipliers
24 questions
Lesson
Not started
Mark as done
The price of a computer game is £24. A shop increases the price by 25%. The game does not sell, so the shop then reduces the new price by 25%.
(a)
Work out the final price of the game.
(b)
Work out the overall percentage change from the original £24.
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Level 3
5 marks
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A company's annual profit rose from £1.8 million to £2.07 million. Work out the percentage increase in profit.
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Level 3
3 marks
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The number of members of a running club rose from
80
80
80
to
92
92
92
.
Work out the percentage increase.
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Level 3
2 marks
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The average attendance at a cinema fell from
250
250
250
to
210
210
210
people per night.
Work out the percentage decrease.
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Level 3
2 marks
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Priya wants to know how much hot chocolate powder she will need for
540
540
540
people at a winter fair.
Each person who has hot chocolate will have
3
3
3
mugs of hot chocolate.
17.4
17.4
17.4
g of hot chocolate powder is needed for each mug of hot chocolate.
Priya assumes
45
%
45\%
45%
of the people will have hot chocolate.
(a)
Using this assumption, work out the amount of hot chocolate powder Priya needs.
Give your answer correct to the nearest gram.
(4 marks)
Priya's assumption is wrong.
40
%
40\%
40%
of the people will have hot chocolate.
(b)
How does this affect your answer to part (a)?
(1 mark)
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Level 3
5 marks
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Callum pays £48 for
360
360
360
eggs.
Callum puts the eggs into boxes. He puts
6
6
6
eggs into each box.
Callum sells all the boxes of eggs for £1.10 each box.
Work out Callum's percentage profit.
(3 marks)
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Level 3
3 marks
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A bag of trail mix has a mass of
750
750
750
g.
36
%
36\%
36%
of the mass of the trail mix is raisins and cranberries.
mass of raisins : mass of cranberries
=
5
:
4
= 5 : 4
=
5
:
4
Work out the mass of cranberries in the bag.
(3 marks)
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Level 3
3 marks
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Freya, Tomasz and Ines share some beads in the ratio
3
:
4
:
11
3 : 4 : 11
3
:
4
:
11
Ines gives
3
11
\frac{3}{11}
11
3
of her beads to Freya.
Ines then gives
25
%
25\%
25%
of the rest of her beads to Tomasz.
Ines says,
"We each have the same number of beads now."
Is Ines correct?
You must show how you get your answer.
(4 marks)
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Level 3
4 marks
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Kwame, Lena and Priya share some marbles in the ratio
3
:
4
:
9
3 : 4 : 9
3
:
4
:
9
Priya gives
1
3
\frac{1}{3}
3
1
of her marbles to Kwame.
Priya then gives
20
%
20\%
20%
of the rest of her marbles to Lena.
Priya says,
"We each have an equal share of the marbles now."
Is Priya correct?
You must show how you get your answer.
(4 marks)
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Level 3
4 marks
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Reverse percentages
19 questions
Lesson
Not started
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In a sale, all prices are reduced by 25%. A coat costs £57 in the sale. Work out the original price of the coat.
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Level 3
3 marks
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In a sale, all prices are reduced by
20
%
20\%
20%
.
A pair of trainers costs £
68
68
68
in the sale.
Work out the original price of the trainers.
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Level 3
2 marks
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In a sale, all normal prices are reduced by
20
%
20\%
20%
.
The sale price of a coat is £
68
68
68
Work out the normal price of the coat. (3 marks)
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Level 3
3 marks
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The amount of honey a beekeeper collected this year is
2
9
\dfrac{2}{9}
9
2
less than the amount she collected last year.
This year the beekeeper collected
1596
1596
1596
kg of honey.
Work out the amount of honey the beekeeper collected last year.
(3 marks)
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Level 3
3 marks
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Compound growth and decay
20 questions
Lesson
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£4000 is invested in an account paying 2.5% compound interest per year. Work out the value of the investment after 3 years. Give your answer to the nearest penny.
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Level 3
3 marks
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£
3000
3000
3000
is invested in an account paying
3
%
3\%
3%
compound interest per year.
Work out the value of the investment after
2
2
2
years.
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Level 3
2 marks
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A motorbike is worth £
7200
7200
7200
. It depreciates by
12
%
12\%
12%
of its value each year.
Work out the value of the motorbike after
2
2
2
years.
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Level 3
2 marks
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A car is bought for £
15
000
15\,000
15
000
Its value depreciates by
12
%
12\%
12%
each year.
Work out the value of the car after
3
3
3
years. (3 marks)
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Level 3
3 marks
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£
3000
3000
3000
is invested at
2.5
%
2.5\%
2.5%
per year compound interest.
After how many complete years will the investment first be worth more than £
3400
3400
3400
? You must show your working. [3]
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Level 3
3 marks
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Asha buys a van with a value of £18 000
The value of Asha's van decreases by
12
%
12\%
12%
each year.
Ben buys a van with a value of £15 500
The value of Ben's van decreases by
7
%
7\%
7%
each year.
At the end of
3
3
3
years, whose van has the greater value?
You must show how you get your answer.
(4 marks)
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Level 3
4 marks
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