MATHS GCSE REVISION QUESTIONS
Paper 12
           Aiming for grade B
        Calculator Allowed


For multiple choice questions place a, b, c or d in the box.
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(Question 1 and 2:)    
The table shows the exchange rates between different currencies
£1 (pound) is worth 1.64 euros
$1 (dollar) is worth 1.05 euros
Qu 1:
Jane changes £400 into euros.
How many euros does she receive?
(1) euros
Qu 2:
Sonia changes 672 euros into dollars.
How many dollars does she receive?

(2) dollars

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Question 3:    
An approximate rule for converting degrees Fahrenheit into degrees Centigrade is



Use this rule to convert 22 °F into °C

(3) ^oC


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Question 4:    
Triangle PQR is isosceles.
PQ = PR




Work out the value of x.
(4) ^o

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Question 5:    
Tom has £2 200.
He gives 1/4 to his son and 2/5 to his daughter.

How much does Tom keep for himself?
£ (5)

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Question 6:    

Mrs Jones inherits £12 000.
She divides the £12 000 between her three children Laura, Mark and Nancy in the
ratio 7 : 8 : 9, respectively.

How much does Laura receive?
£ (6)

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(Question 7 and 8)    
Wayne cycles from Newcastle to Ashington, a distance of 20 miles.
The diagram shows the distance-time graph of his journey.


Qu 7:
How far does Wayne travel in the first 2 hours of his journey?
(7) miles

Qu 8:
What is Wayne’s average speed over the first 2 hours of his journey?
(8) miles per hour

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Question 9:    
Solve the equations

8z – 5 = 11
(9)

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Question 10    
Solve the equations

3(w – 2) = 9
(10)

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(Question 11 and 12)    

A circular pond has a radius of 2.2m.
Qu 11:
Calculate the circumference of the pond. (to 3 significant places.)


(11) metres

Question 12:
Calculate the area of the pond. (to 3 significant places.)
(12) metres ²

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(Question 13 and 14)    
Forty people take a driving test at Centre A on one day.
The table shows the results.


Qu 13:
A person is chosen at random from the group.
What is the probability that the person is male?
(13)

Que 14:
A person is chosen at random from the group.
What is the probability that the person passed the test?
(14)

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Question 15:    
Miss Evans earns £240 per week.
She is awarded a pay rise of 3.5%.
Mr Dale earns £220 per week.
He is awarded a pay rise of 4%.

Calculate in £ (pounds) the difference in the weekly pay rise
£ (15)

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Question 16:    
Solve the equations

(23 - 2x)/5 = 3
(16)

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Question 17:    
In 2003 the State Pension was increased by 2% to £78.03
What was the State Pension before this increase?
£ (17)

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Question 18:    
A support for a flagpole is attached at a height of 3m and
is fixed to the ground at a distance of 1.2m from the base.




Calculate the length of the support (marked x on the diagram).(to 1 decimal place)
(18) metres

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Question 19:    
Fred is using trial and improvement to find a solution to the equation

x³ + 7x = 30

The answer lies between 2 and 3

Find a value of x which is the solution to the equation.
Give your answer to 1 decimal place.
(19)

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Question 20:    

Jane records the times taken by 30 pupils to complete a number puzzle.




Calculate an estimate of the mean time taken to complete the puzzle.
(20) minutes

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Question 21:    



Describe fully the single transformation that takes the shaded triangle to triangle A.

Choose a letter

a . . . . . reflection about the line x = -2

b . . . . . reflection about the line x = -1

c . . . . . reflection about the line x axis

d . . . . . reflection about the line x = 1

e . . . . . translation 6 units to the left

(21)

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(Question 22 and 23)    
Triangle P is an enlargement of the shaded triangle


Qu 22:
What is the scale factor of the enlargement?
(22)

Qu 23:
Give the coordinates which is the centre of enlargement? (x,y)

separate the coordinates by a     comma ,
eg     1,-2 .... no spaces
(23)

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Question 24:    
ABC is a right-angled triangle.
BC = 125m.
Angle CAB = 33°.



Find the length of AC (marked x in the diagram).
Give your answer to 3 significant places.
(24) metres

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Question 25:    


Give your answer to 3 significant places.
(25)

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Question 26:    
Find the value of (3.18 × 10⁵) × (4.25 × 10³).

Give your answer in standard form.

x 10


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Question 27:    
Triangles ADE and ABC are similar.
DE is parallel to BC.
AD = 4 cm, DE = 6 cm and BC = 9 cm



Calculate the length of BD.
(27) cm


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Question 28:    
A large carton contains 4 litres of orange juice.
Cylindrical glasses of height 10 cm and radius 3 cm are to be filled from the carton



How many glasses can be filled?

Give your answer to the best whole number

(28)

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(Question 29 and 30 )   

Jenny is organising a barbecue.
There are 30 bread rolls in a pack.
There are 16 sausages in a pack.
She needs exactly the same number of bread rolls as sausages.
What is the smallest number of each pack she must buy?
(29) packs of rolls

(30) packs of sausages


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