MATHS GCSE REVISION QUESTIONS
    Paper 1
     (up to) Grade B

NON CALCULATOR



Some questions are Multiple Choice.
Pick the one Correct answer and the put number 1, 2, 3 or 4 in the box

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Question 1:
Simplify       6g + 4g

1.      10g2 2.      24g
3.      10 4.      10g

ans = 1


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Question 2:
Simplify       3m x 5p

1.      8mp 2 2.      15mp
3.      15m 4.      15(mp)2

ans = 2


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Question 3:
Expand and simplify       2(3x + 4) – 3(4x – 5)

1.      -6x + 23 2.      -6x - 7
3.      18x - 7 4.      18x + 23
5.      6x - 7 6.      6x + 23

ans = 3


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Question 4:
Write these numbers in order of size.
Start with the smallest number.

0.57;     0.068;     0.6;     0.66;     0.605

1.      0.57, 0.068, 0.6, 0.605, 0.66 2.      0.57, 0.6, 0.605, 0.66, 0.606
3.      0.068, 0.57, 0.6, 0.605, 0.66 4.      0.068, 0.57, 0.605, 0.66, 0.6

ans = 4


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Question 5:
Write these numbers in order of size.
Start with the smallest number.

6;     –7;     –10;     3;     –5

1.      3, -5, 6, -7, -10 2.      -10, -7, -5, 3, 6
3.      6, 3, -5, -7, -10 4.      3, 6, -10, -7, -5

ans = 5


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Question 6:
Mary has 10 boxes of drawing pins
She counted the number of drawing pins in each box
The table gives the information:

      
Number of
drawing pins
frequency
28 2
29 2
30 5
31 1

Work out the mean number of pins in a drawing box
ans    (1 d.p.) = 6


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Question 7 and 8:
Qu 7:
Fred packs pencil in boxes
He pack 10 pencils in each box
Fred packs x boxes of pencils
Find the expression in terms of x for the number of pencils Fred packs

1.      10x 2.      10 + x
3.      x ÷ 10 4.      10 ÷ x

ans    =    7
Qu 8:
Fred also packs pens in boxes
He pack 5 pencils in each box
Fred packs y boxes of pens
Find the expression in terms of x and y, for the total number of pencils and pens Fred packs

1.      10x + 5y 2.      10 + x + 5 + y
3.      15 + xy 4.      x ÷ 10    +    y ÷ 10

ans    =    8

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Question 9:    
Fred spent 1/3 of his pocket money on a football.
He spent 1/4 of his pocket money on a ticket for a football match.
Work out the fraction of his pocket money that he had left.

1.      5 / 7 2.      10 / 12
3.      5 / 12 4.      7 / 12

ans    =    9

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Question 10 and 11:

Qu 10:
Work out the value for angle x
ans x = 10 o

Qu 11:

Work out the value for angle y
ans y = 11 o


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Question 12:
When x = 2, what is the value of 4x3.
ans = 12


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Question 13:
Work out the value of 3(x + 1)2 when x = 4.
ans = 13


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Question 14:

Here is a part of a travel graph of David's journey to the shop and back

Work out David's speed for the first 30 minutes of his journey (in km/h)
ans = 14 km/h


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Question 15, 16 and 17            ( Remember )
Qu 15:
Using the information that       95 × 125 = 11875
write down the value of       9.5 × 12.5
ans = 15

Qu 16:

write down the value of       0.95 × 125000
ans = 16

Qu 17:

write down the value of       11.875 ÷ 9.5
ans = 17


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Question 18:
David bought a car for £22 000.
Each year the value of the car depreciated by 10%.
Work out the value of the car two years after he bought it.
ans =     £ 18


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Question 19:
Solve       7p + 2 = 5p + 8
ans p = 19


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Question 20:
Solve       7r + 2 = 5(r – 4)
ans r = 20


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Question 21:
Here are the first 5 terms of an arithmetic sequence.
8, 14, 20, 26, 32
Find an expression, in terms of n, for the nth term of the sequence.
1.      7n + 1 2.      6n + 2
3.      2n + 6 4.      8n + 6

ans    =    21

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Question 22:

1.          -2, -1, 0, 1, 2
2.          -1, 0, 1
3.          -3, -2, -1, 0, 1, 2
4.          -2, -1, 0, 1
ans    =   22

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Question 23:
A spaceship travelled for 7 × 102 hours at a speed of 5 × 104 km/h.
Calculate the distance travelled by the spaceship.
Give your answer in standard form.
1.      35 x 106 2.      12 x 106
3.      1.2 x 106 4.      3.5 x 107

ans    =    23

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Question 24:
One month an aircraft travelled 2 × 105 km.
The next month the aircraft travelled 3 × 104 km.
Calculate the total distance travelled by the aircraft in the two months.
Give your answer as an ordinary number.

ans = 24


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Question 25:
Work out the value of       (22)3
ans = 25


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Question 26:
Work out the value of      
ans = 26


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Question 27:
Work out the value of      
ans = 27


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Question 28 and 29:


Qu 28:
ans = 28 o


Qu 29:

ans = 29 o


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Question 30:
Expand and simplify     (a + b)2

1.      a2 + b2 2.      a2 + ab + b2
3.      (a + b)(a + b) 4.      a2 + 2ab + b2

ans    =    30

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