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MATHS GCSE REVISION QUESTIONS

Paper 3

(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:

The diagram shows a rectangle

Work out the area of the rectangle

ans    =    (1) m²

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Question 2:
Simplify     e + f + e + f + e

a)      3e + 3f b)      2e + 3f

c)      5fe d)      3e + 2f

ans    =    (2)

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Question 3:
Simplify     p² + p² + p²

a)      p⁶ b)      3p⁶

c)      p² d)      3p²

ans    =    (3)

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Question 4:
Work out the value of    5x + 1    when x = –3

ans    =    (4)

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Question 5:

David takes 26 boxes out of his van.
The weight of each box is 32.9 kg.
Work out the total weight of the 26 boxes.

ans    =    (5) kg

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Question 6 and 7:

Qu 6:
There are 800 students at Newtown School.
45% of these 800 students are girls.
(a) Work out 45% of 800

ans    =    (6)

Qu 7:

There are 176 students in Year 10.
Write 176 out of 800 as a percentage.

ans    =    (7)

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Question 8:

Work out

a)      1 /14 b)      6 / 7

c)      6 / 14 d)      10 / 14

ans    =    (8)

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Question 9:

Estimate the value of

a)      140 b)      280

c)      137.4 d)      120

ans    =    (9)

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Question 10

ans    =    (10) ^o

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Question 11:

ans x =    (11) ^o

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Question 12:

ans y =    (12) ^o

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Question 13:

ans ( 1 d.p.)    =    (13)

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Question 14, 15, 16 and Question 17

Fred cycled from his home to the park.
Fred waited in the park.
Then he cycled back home.
Here is a distance-time graph for fred’s complete journey.

Qu 14:
(a) At what time did Fred leave home?     (write time like this 0909, 0916, 1015 etc.)

ans    =    (14)
Qu 15:
(b) What is the distance from Fred’s home to the park?

ans    =    (15) km
Qu 16:
(c) How many minutes did Fred wait in the park?

ans    =    (16) minutes
Qu 17:
(d) Work out Fred’s average speed on his journey home.
Give your answer in kilometres per hour.

ans    =    (17) km/h

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Question 18: and 19

Qu 18:
Work out the size of an exterior angle of a regular pentagon.

ans    =    (18) ^o

Qu 19:
The area of the pentagon is 8560 mm².
Change 8560 mm² to cm².

ans    =    (19) cm²

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Question 20: and Question 21

Qu 20:
A pencil meaures 101 mm to the nearest mm.
Write down the least possible length of the pencil

ans    =    (20) mm

Qu 21:
Write down the maximum possible length of the pencil

ans    =    (21) mm

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Question 22:

ABCD is a quadrilateral
Work out the size of the largest angle in the quadrilateral.

ans    =    (22) ^o

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Question 23:

The probability that a biased dice will land on a four is 0.2
Pam is going to roll the dice 200 times.
Work out an estimate for the number of times the dice will land on a four.

ans    =    (23)

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Question 24:

Express 108 as the product of powers of its prime factors.

a      2 x 2 x 27 b)      2 x 2 x 3 x 3 x 3

c)      2 x 3 x 3 d)      2 x 3 x 3 x3

ans    =    (24)

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Question 25:

ans    =    (25) cm³

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Question 26:

ans    =    (26) cm

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Question 27:
Simplify     k⁵    ÷    k²

a)      k³ b)      2k³

c)      2k⁷ d)      k⁷

ans    =    (27)

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Question 28:
Expand and simplify     4(x + 5) + 3(x – 7)

a)      7x - 1 b)      x - 1

c)      7x + 42 d)      x + 1

ans    =    (28)

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Question 29:

Expand and simplify     (x + 3y)(x + 2y)

a)      x² + 5xy + 6y b)      x² + 5xy + 6y²

c)      x + 5xy + 6y d)      x² + 5y + 6y²

ans    =    (29)

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Question 30:

Factorise     (p + q)² + 5(p + q)

a)      pq² + 5p + 5q b)      pq(pq + 5)

c)      6p² + 6q² d)      (p + q)(p + q + 5)

ans    =    (30)

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a 2 x 2 x 27	b) 2 x 2 x 3 x 3 x 3

c) 2 x 3 x 3	d) 2 x 3 x 3 x3

a) x² + 5xy + 6y	b) x² + 5xy + 6y²

c) x + 5xy + 6y	d) x² + 5y + 6y²

a) pq² + 5p + 5q	b) pq(pq + 5)

c) 6p² + 6q²	d) (p + q)(p + q + 5)