MATHS GCSE REVISION QUESTIONS
Paper 8
           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   

Qu 1:    Fred went on holiday to France.
He changed £475 to Euros.
£1 = 1.57 Euros.

Change £475 to Euros
(1)

Qu 2:             In France, Fred went to a festival.
There were 650 people at the festival.
16% of the people at the festival were British

Work out 16% of 650
(2)

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Question 3:    
Solve         x + 2x = 12
(3)

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Question 4:    
Solve         2y – 1 = 13
(4)
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Question 5:    

(5) ^o

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Question 6:    
The cost of 4 kg of apples is £3.36
The total cost of 3 kg of apples and 2.5 kg of pears is £4.12
Work out the cost of 1 kg of pears.
Give your answer in pence
(6)

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Question 7: 8 and 9    



Qu 7: Write down the number of sentences with 36 letters. (7)
Qu 8: Work out the range     (8)
Qu 9: Work out the median. (9)

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Question 10, 11 and 12:    

Jo buys 8 cups and 8 mugs.
A cup costs £x.
A mug costs £(x + 2)

Qu 10:     Write down an expression, in terms of x,
for the total cost, in pounds, of 8 cups and 8 mugs.

a)      x + (x + 2)	b)      8 + (x + 2)
c)      8x + 8(x + 2)	d)      16x + 8

(10)


Qu 11:The total cost of 8 cups and 8 mugs is £72
Express this information as an equation in terms of x.

a)      8x + 16 = 72	b)      8x + 10 = 72
c)      9x + 16 = 72	d)      16x + 16 = 72

(11)


Qu 12:Solve your equation to find the cost of a cup.
£ (12)

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Question 13:    
A map is drawn to a scale of 1:25 000
Two schools A and B are 12 centimetres apart on the map.
Work out the actual distance from A to B.
Give your answer in kilometres
(13) km
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Question 14:    
Mary’s floor is a rectangle 8 m long and 5 m wide.
She wants to cover the floor completely with carpet tiles.
Each carpet tile is square with sides of length 50 cm.
Each carpet tile costs £4.19
Work out the cost of covering Mary’s floor completely with carpet tiles.

HINT:
Find out how many tiles go along the length
Find out how many tiles go along the width
You should now be able to work out the total
number of tiles used
£ (14)

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Question 15:    
The diameter of a circle is 12 centimetres.
Work out the circumference of the circle.
Give your answer, in centimetres, correct to 1 decimal place. (pi = 3.14)

(15) cm

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Question 16:    
The length of each diagonal of a square is 20 cm.
Work out the area of the square.

HINT:
area of triangle = 0.5 x base x height
(16) cm²
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Question 17: and 18   



The table gives information about Year 10 and Year 11 at Mathstown School.

Qu 17:         Work out the percentage of students in Year 10 who are girls.

(17)

Qu 18:
Newtown School had an end of term party.
40% of the students in Year 10 and 70% of the students in Year 11 went to the party.

Work out the percentage of all students in Years 10 and 11 who went to the party.

(18)

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Question 19:    
Nicola invests £8000 for 3 years at 5% per annum compound interest.
Calculate the value of her investment at the end of 3 years.
£ (19)

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Question 20:    

Hannah invested an amount of money in an account paying 5% per annum compound interest.

After 1 year the value of her investment was £3885
Work out the amount of money that Hannah invested.
£ (20)

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Question 21: and 22   
Fred runs 200 metres in 21.2 seconds.
Work out Fred’s average speed.
Write down the first SIX figures on your calculator display.

(21) m/s
Question 22:    
Round off your answer to qu 21 to an appropriate degree of accuracy.

(22) m/s


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Question 23:    
Solve       4(2x + 1) = 2(3 – x)

x = (23)
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Question 24:    
Factorise fully       2p² – 4pq

a)      p(2 - 4q)	b)      2(p2 - 2pq)
c)      2p(p - 2q)	d)      2p2(1 - 2q)

(24)

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Question 25:    
Factorise fully       x² +7x + 6

a)      (x + 1)(x + 6)	b)      (x + 1)(x - 6)
c)      (x + 3)(x + 4)	d)      (x - 3)(x - 4)

(25)

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Question 26: and 27   
   Tony throws a biased dice 100 times.
   The table shows his results
   

He throws the dice once more.
Qu 26: Find an estimate for the probability that he will get a 6

answer as a fraction
eg     25/60
(26)

Qu 27:  Emma has a biased coin.
The probability that the biased coin will land on a head is 0.7
Emma is going to throw the coin 250 times.

Work out an estimate for the number of times the coin will land on a head.

(27)

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Question 28:    

(28)^o

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Question 29:   

(29) cm

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Question 30:    
A youth club has 60 members.

40 of the members are boys.
20 of the members are girls.
The mean number of videos watched last week by all 60 members was 2.8
The mean number of videos watched last week by the 40 boys was 3.3
Calculate the mean number of videos watched last week by the 20 girls.

(30)
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