MATHS GCSE REVISION QUESTIONS
Paper 4
(up to) Grade B
Calculator Allowed
For multiple choice questions place a, b, c or d in the box.
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Question 1:
A student bought a pair of sunglasses in the USA.
He paid $40:00
What is the cost of the same pair of sunglasses in England
Exchange rate is £1:00 = $1:50
ans = £
(1)
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(Question 2, 3 and 4)
David cleaned his swimming pool.
He hired a cleaning machine to do this job.
The cost of hiring the cleaning machine was
£35.00 for the first day,
then £18.00 for each extra day.
David’s total cost of hiring the machine was £89.00
Qu 2
For how many days did David hire the machine?
ans =
(2)
Qu 3:
David had to buy some cleaning materials.
The cost of the cleaning materials was £80.00 plus VAT at 17 ½ %.
Work out the total cost of the cleaning materials.
ans = £
(3)
Qu 4:
David filled the pool with 60 000 gallons of water.
He paid £7.35 for each 1000 gallons of water.
Work out the total amount he paid for 60 000 gallons of water.
ans = £
(4)
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(Question 5: to 9)
This is a list of ingredients for making a pear and almond crumble for 4 people.
Work out the amount of each ingredient needed to make a pear & almond crumble
for 10 people.
Qu 5:
ans =
(5)
g of plain flour
Qu 6:
ans =
(6)
g of almonds
Qu 7:
ans =
(7)
g of soft brown sugar
Qu 8:
ans =
(8)
g butter
Qu 9:
ans =
(9)
ripe pears
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Question 10
Write these five fractions in order of size.
Start with the smallest fraction.
use the numbers to show the order
for example 14352
No spaces, no commas
ans =
(10)
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Question 11:
Write these numbers (percentages, decimals and fractions) in order of size.
Start with the smallest number.
use the numbers to show the order
for example 35412
No spaces, no commas
ans =
(11)
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Question 12:
In January a coat cost £160
In February it was reduced by 30%
In March the coat was further reduced by 20%
What was the cost of the coat in March?
ans = £
(12)
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Question 13:
Solve 20y - 16 = 18y - 9
ans y =
(13)
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Question 14:
ans x =
(14)
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(Question 15: and 16)
Eggs are sold in boxes.
A small box holds 6 eggs.
A large box holds 12 eggs.
Mary buys x small boxes of eggs.
Mary also buys 4 less of the large boxes of eggs than the small boxes.
Qu 15
Find, in terms of x, the total number of eggs in the large boxes that Mary buys.
a)
12(x - 4)
b)
4 + x
c)
6x - 4
d)
x - 36
ans
=
(15)
Qu 16
Find, in terms of x, the total number of eggs that Mary buys.
Give your answer in its simplest form.
a)
18x - 4
b)
18x - 48
c)
6x + 12x
d)
6x
2
+ 48
ans
=
(16)
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Question 17:
The equation
x
3
- 2x = 67
has a solution between 4 and 5
Use a trial and improvement method to find this solution.
Give your answer correct to one decimal place.
ans x =
(17)
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Question 18:
Write the number 0.000 000 001 in standard form.
a)
10 x 10
-9
b)
1.0 x 10
-8
c)
10 x 10
-8
d)
1.0 x 10
-9
ans
=
(18)
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Question 19:
A computer does a calculation in 0.000 000 0005
How many of these calculations can the computer do in 1 second?
Give your answer in standard
a)
2 x 10
9
b)
5 x 10
-9
c)
5 x 10
9
d)
2 x 10
-9
ans
=
(19)
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Question 20:
Use your calculator to work out the value of
Write your answer to 3 significant figures
ans =
(20)
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Question 21:
Here are some patterns made from dots.
Write down a formula for the number of dots, d, in terms of the Pattern number, n.
a)
10n
b)
4n + 6
c)
6n + 4
d)
8n + 2
ans
=
(21)
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Question 22:
(pi = 3.142)
ans =
(22)
g
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(Question 23: and 24)
AB = 10 cm.
AC = 12 cm.
CD = 8 cm.
Angle ABC = 90°. Angle ACD = 90°.
Qu 23
Calculate the length of AD.
Give your answer correct to 3 significant figures.
ans =
(23)
cm
Qu 24:
Calculate the size of the angle marked x°.
Give your answer correct to one decimal place.
ans =
(24)
o
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(Question 25: and 26)
Solve the simultaneous equations
6x – 2y = 33
4x + 3y= 9
Qu 25:
ans x =
(25)
Qu 26:
ans y =
(26)
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Question 27:
A company bought a van that had a value of £12 000
Each year the value of the van depreciates by 25%.
Work out the value of the van at the end of three years.
ans = £
(27)
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Question 28:
A company bought a new truck.
Each year the value of the truck depreciates by 20%.
The value of the new truck can be multiplied by a single number to
find its value at the end of four years.
Find this single number as a decimal.
answer should be to
4 decimal places
ans =
(28)
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Question 29:
A jumbo jet is 75 metres long
A model of the jumbo jet is made using a scale of 1:200
What is the length, in centimetres, of the model jumbo jet
ans =
(29)
cm
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Question 30:
A plane flies at 396 km/hour
What is this speed in metres/sec
ans =
(30)
metres/sec
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