Expanding Quadratics/Two Brackets
Question Paper 1
39 minutes
/33
/100
Time Allowed:
Score:
Percentage:
1
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9 8 7 6 5 4 3
>84% 71% 58% 45% 33% 21% 0%
Grade Boundaries:
U
<15%
Level GCSE
Subject Mathematics
Topic Algebra – Basics
Sub-Topic Expanding Quadratics/Two Brackets
Booklet Question Paper 1
Expand and simplify (p + 9)(p – 4)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total 2 marks)
Expand and simplify (x + 4)(x + 6)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total 2 marks)
1
2
2
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Expand and simplify (m + 3)(m + 10)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total 2 marks)
Expand and simplify (2x + 1)(x�����
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total 2 marks)
4
3
3
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Expand and simplify (x – 5)(x + 3)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total 2 marks)
Expand and simplify (y – 2)(y – 5)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total 2 marks)
6
5
4
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Expand and simplify (2x + 3)(x – 8)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total 2 marks)
Expand 3y(4y – 3)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total 1 marks)
7
8
5
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Expand and simplify (2t t + 5)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total 2 marks)
Expand and simplify (y + 2)(y + 5)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total 2 marks)
10
9
6
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10 Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + dwhere a, b, c and d are positive integers.
(Total 3 marks)
Expand a nd s implify (w – 5)2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total 2 marks)
12
11
7
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2 Expand and simplify (m + 7)(m + 3)
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total 2 marks)
13 Show that
(3x – 1)(x + 5)(4x – 3) = 12x3 + 47x2 – 62x + 15
for all values of x.
(Total 3 marks)
14
13
8
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18 Simplify fully ( )( )a b a b+ −4 2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total 3 marks)
15
9
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