MATHS GCSE REVISION QUESTIONS
Paper 2
(up to) Grade B
Calculator Allowed
For multiple choice questions place 1, 2, 3 or 4 in the box.
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Question 1:
Use your calculator to work out (4.3 + 1.9)
2
x 1.09
Write down the answer correct to 3 significant figures.
ans =
(1)
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Question 2 and 3:
David repairs cars.
He charges
£56 for the first hour and
£42 for each extra hour's work.
Yesterday David repaired a car and charged a total £350.
Qu 2
(a) Work out how many hours David worked on the car
ans =
(2)
Qu 3:
David reduces his charges by 10% when he is paid promply.
He was paid promply for yesterday's work.
(b) Work out how much he was paid
ans = £
(3)
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Question 4, 5 and 6:
Qu 4
(a) Convert 5 m
2
to cm
2
ans =
(4)
cm
2
Qu 5
(a) Convert 5 m
3
to cm
3
ans =
(5)
cm
3
Qu 6:
(c) Convert 50 g to kg
ans =
(6)
kg
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Question 7, 8 and 9
In 2008, Newtown Athletics Club's total income came from a council grant of £5,000
and members' fees.
Council grant £5000
Members fee 320 at £25
Qu 7
Work out the total income for the club for the year 2008
ans = £
(7)
Qu 8:
Find out the council grant as a fraction of the club's total income
for the year 2008.
Give your answer in its simplest form
1.
5 / 8
2.
5 / 13
3.
5000 / 8000
4.
5000 / 13000
ans =
(8)
Qu 9
The club spent 50% of its income that year on new equipment.
It spent £500 on travelling expenses
Work out the ratio
The amount spent on new equipment : the amount spent on travelling expenses
Give your answer in the simplest form
1.
1 : 13
2.
5 : 8
3.
13 : 1
4.
8 : 5
ans =
(9)
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Question 10, 11 and 12
The diagram represents a garden in the shape of a rectangle.
All measurements are given in metres.
The garden has a flowerbed in one corner.
The flowerbed is a square of side x.
Qu 10
(a) Write down an expression, in terms of x, for the shortest side of the garden.
1.
x + 2
2.
x - 2
3.
x - 4
4.
x + 4
ans =
(10)
Qu 11
(b) Find an expression, in terms of x, for the perimeter of the garden.
Give your answer in its simplest form.
1.
x + 2 + x + 4
2.
2x + 6
3.
x
2
+ 6x + 8
4.
4x + 12
ans =
(11)
Qu 12:
The perimeter of the garden is 20 metres.
(c) Find the value of x.
ans =
(12)
metres
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Question 13:
Simplify 6p + 3q – 4p – 4q
1.
10p + 7q
2.
10p - q
3.
2p + 7q
4.
2p - q
ans =
(13)
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Question 14:
y = 4x – 2
Find the value of x when y = 12
ans =
(14)
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Question 15: and 16
ans =
(15)
m
2
(2 d.p.)
Qu. 16
ans = £
(16)
(3 s.f.)
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Question 17:
Four teams, City, Rovers, Town and United play a competition to win a cup.
Only one team can win the cup.
The table below shows the probabilities of City or Rovers or Town winning the cup.
Calculate the value for x
ans =
(17)
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Question 18: and 19
The diagram shows a cylinder with a height of 20 cm and a radius of 8 cm.
Qu 18
(a) Calculate the volume of the cylinder.
Give your answer correct to 3 significant figures. (pi = 3.142)
ans =
(18)
cm
3
Qu 19:
A straight wooden rod is put inside the cylinder
What is the maximum length of the rod that will just fit inside the cylinder
Answer to 1 decimal place
Hint: the rod is diagonal inside the cylinder
ans =
(19)
cm
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Question 20: 21, 22 and 23
Qu 20
(a) Express the following numbers as products of their prime factors.
(i) 60
1.
2 x 2 x 3 x 5
2.
2 x 3 x 3 x 5
3.
2 x 3 x 5 x 5
4.
2 x 2 x 3 x 3 x 5
ans =
(20)
Qu 21:
(ii) 96.
1.
2 x 2 x 2 x 3
2.
2 x 2 x 2 x 2 x 3
3.
2 x 2 x 2 x 2 x 2 x 3
4.
2 x 2 x 2 x 2 x 2 x 2 x 3
ans =
(21)
Qu 22:
(b) Find the Highest Common Factor of 60 and 96.
ans =
(22)
Qu 23:
(c) Work out the Lowest Common Multiple of 60 and 96
ans =
(23)
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Question 24:
A gargage sells cars
It offers a discount of 20% for paying cash
David pay £15000 cash for the car
Calculate the normal price of the car.
ans =
(24)
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Question 25:
The equation x
3
+ x
2
= 230
has a solution between x = 5 and x = 6.
Use a trial and improvement method to find this solution.
Give your answer correct to 1 decimal place.
ans =
(25)
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Question 26:
The diagram shows a semi-circle.
The diameter of the semi-circle is 20 cm.
Calculate the area of the semi-circle.
Give your answer correct to 3 significant figures. (pi = 3.142)
ans =
(26)
cm
2
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Question 27 and 28
Solve
2x - 3y = 11
5x + 2y = 18
Qu 27
ans x =
(27)
Qu 28:
ans y =
(28)
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Question 29: and 30
Qu 29
Calculate the length of CD.
ans =
(29)
cm
(1 dec. place)
Qu 30:
Calculate the perimeter of the trapezium EBCD.
Answer to 1 decimal place
HINT:
Calculate each side of trapezium to
to 1 d.p. before adding
ans =
(30)
cm
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3. 2 x 2 x 2 x 2 x 2 x 3 4. 2 x 2 x 2 x 2 x 2 x 2 x 3