MATHS GCSE REVISION QUESTIONS

    Paper 5

   (up to) Grade B


NON CALCULATOR

      

For multiple choice questions place a, b, c or d in the box.
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Question 1: Which of these is a Prime number?.

35,      39,      45,      47,      49

ans    =    (1)

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Question 2: Write down the cube of 10.

ans    =    (2)

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Question 3: A litre of petrol costs 84p.
   Work out the cost of 26 litres of petrol.
   Give your answer in pounds

ans    =  £  (3)

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(Question 4, 5 and 6)

Mary recorded the heights, in centimetres, of the girls in her class.

She put the heights in order.

132,    144,    150,    152,    160,    162,    162,    167,
167,    170,    172,    177,    181,    182,    182


Qu 4: Find the lower quartile,

ans    =    (4)

Qu 5: Find the upper quartile.

ans    =    (5)

Qu 6: Find the inter-quartile range

ans    =    (6)

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(Question 7, 8 and 9)

A customer who cancels a holiday with Funtours has to pay
a cancellation charge.   The cancellation charge depends on
the number of days before the departure date the customer
cancels the holiday.
The cancellation charge is a percentage of the cost of the holiday.
The table shows the percentages.



The cost of Amy’s holiday was £840.
She cancelled her holiday 25 days before the departure date
Qu 7:
Work out the cancellation charge she had to pay


ans    =  £  (7)

Qu 8:
The cost of Carol’s holiday was £600.
Work out £480 as a percentage of £600


ans    =    (8) %

Qu 9:
Ravi cancelled his holiday 30 days before the departure date.
He had to pay a cancellation charge of £272.
Work out the cost of his holiday.

ans    =  £  (9)

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(Question 10, 11 and 12)

The first term of a sequence is 7.
The rule for the sequence is Add 5 to the previous term
Qu 10:
Work out the 5th term of the sequence.
ans    =    (10)

Qu 11:
Work out the 10th term of the sequence.
ans    =    (11)

Qu 12:
Write down an expression, in terms of n, for the nth term of the sequence.

a)      7n		b)      2n + 5
c)      5n + 2		d)      5n

ans    =    (12)

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Question 13:

Work out the value of 3p + 4q when p =5 and q = –2

ans    =    (13)

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Question 14:

Given that y = 4x – 3, work out the value of x when y = 11

ans    =    (14)

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Question 15:

Multiply out 7(n – 3)

a)      7n - 3		b)      7 + n - 3
c)      7n + 21		d)      7n - 21

ans    =    (15)

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Question 16:

Factorise t² – 5t

a)      5(t2 - t)		b)      t(t - 5)
c)      t(t - 5t)		d)      5(t2 - 1)

ans    =    (16)

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Question 17:

Brass is made up of copper and zinc.
Every 100 grams of brass contains 20 grams of zinc.
Work out the weight of zinc in 60 grams of brass.

ans    =    (17) grams

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Question 18:

Brass contains 4 parts by weight of copper to 1 part by weight of zinc.
Work out the weight of copper in 350 grams of brass.

ans    =    (18) grams

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Question 19:



The diagram shows a shape.
Work out the area of the shape.

ans    =    (19) cm²

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(Question 20 and 21)

Qu 20: Express 120 as the product of powers of its prime factors.

a)      2 x 2 x 3 x 3 x 5		b)      2 x 2 x 3 x 5 x 5
c)      2 x 2 x 2 x 3 x 5		d)      2 x 2 x 2 x 2 x 5

ans    =    (20)

Qu 21: Find the Lowest Common Multiple of 120 and 150


ans    =    (21)

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(Question 22 and 23)


A, B, C and D are four points on the circumference of a circle.
ABE and DCE are straight lines.
Angle BAC =25°.
Angle EBC =60°.

Qu 22: Find the size of angle ADC.

ans    =    (22) ^o

Qu 23: Find the size of angle ADB.

ans    =    (23) ^o

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Question 24:





ans    =    (24) cm

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Question 25: Change   8 m³   to   cm³.
ans    =    (25) cm ³

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Question 26: The mass of 5 m³ of copper is 44 800 kg.
     Work out the density of copper.

ans    =    (26) kg/m³

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Question 27: The density of zinc is 7130 kg/m³.
     Work out the mass of 5 m³ of zinc.

ans    =    (27) kg

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Question 28:


The diagram shows the position of each of three buildings in a town.
The bearing of the cinema from the Town hall is 068 ^o.
The Railway Station is due East of the cinema
The distance from the cinema to the Town Hall is equal to
the distance from the cinema to the Railway Station.

Work out the bearing of the Railway Station from the Town Hall.

ans    =    (28) ^o

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Question 29:
Simplify     p²    x    p⁷

a)      2p14		b)      p14
c)      2p9		d)      p9

ans    =    (29)

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Question 30:
Simplify     x⁸    ÷    x³

a)      x11		b)      x-11
c)      x-5		d)      x5

ans    =    (30)