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Answer all the questions. You may not use a calculator.
1. A is the point (3,5) and B is the point (6,9).
M is the midpoint of the line AB.
What are the coordinates of M?
A (9,7) B (1.5,2) C (3,4) D (9,14) E (4.5, 7)
2. Sam buys x pencils at 12p each and y pens at 20p each.
What is the expression for the total cost in pence?
A x + y B 12x + y C 12x20y D 12x=20y E 12x + 20y
3. 3a – 4x + a – 3x =
A 4a – 7x B 2a – 7x C 4a + 7x D 2a + 7x E 4a - x
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4.
The area of this shape is
A 32 m2 B 122 m2 C 82 m2 D 97 m2 E 38 m2
5. Here are the first 5 terms of an arithmetic sequence
-3, 7, 17, 27, 37,
What is the expression for the n th term of the sequence?
A n +10 B 10 n –3 C 10 n –13 D -3 n +10 E n = n +10
6. 6.4 ¸ 0.2 =
A 0.32 B 3.2 C 12.8 D 32 E 128
7. 2¾ =
A 23/4 B 7/4 C 11/4 D 10/4 E 5/4
8. The Highest Common Factor of 60 and 96 is
A 2 B 12 C 6 D 5760 E 480
9. An aeroplane flies at a constant speed of 660 kilometres per
hour.
How far does it fly in 2 hours and 30 minutes?
A 264 km B 1320 km C 1650 km D 1350 km E 1500 km
10. What is 32 800 when written in standard form?
A 3.3 x 104 B 3.28 x 104 C 32.8 x 104
D 3.28 x 102 E 328 x 102
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11.
The diagram shows a solid cuboid.
What is the total surface area of this cuboid?
A 14 cm2 B 32 cm2 C 64 cm2 D 80 cm2 E 112 cm2
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P, Q and R are villages. RP = PQ.
The bearing of R from P is 042o.
Q is due East of P.
What is the bearing of R from Q?
A 042o B 048o C 132o D 312o E 318o
13. The mass of a block of wood is 14 kg correct to the nearest kg.
What is the smallest possible mass of the block?
A 14.0 kg B 13.6 kg C 13.51kg D 13.5 kg E 13.9 kg
14. What is 328.647 when rounded correct to 2 significant figures?
A 33 B 320 C 330 D 328.65 E 330.65
15. Expand 2x(2x + 3y)
A 2x2 + 2xy B 4x2 + 3y C 4x2 + 2xy
D 2x2 + 6xy E 4x2 + 6xy
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16.
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The diagram shows a cuboid.
O, P, Q and R are vertices of the cuboid.
The point P has coordinates (3, 0, 0)
The point Q has coordinates (3, 4, 2)
What are the coordinates of the point R?
A (2, 4, 3) B (0, 0, 2) C (0, 0, 3)
D (0, 0, 4) E (2, 0, 3)
17. Expand (x + 3)(x + 7)
A 2x + 10 B 2x + 21 C x2 + 21
D x2 + 10x + 10 E x2 + 10x + 21
18. 4t + 2t(t + 1) =
A 6t2 + 6t B 2t2 + 4t + 1 C 2t2 + 6t
D 8t + 1 E 6t3 + 2t
19. Which expression is a factor of y2 – 7y – 8?
A (y + 1) B (y – 1) C (y + 2) D (y – 2) E (y + 8)
20. P has coordinates (-3, 8, 3) and Q has coordinates (-1, 2, -5)
What are the coordinates of the midpoint of the line PQ?
A (-2, 5, -1) B (-2, 5, -2) C (-4, 10, -2)
D (2, 5, 1) E (2, -5, 1)
21. Expand (2x – 3y)(3x – 6y)
A 6x – 18y B 6x2 + 18y2 C 6x2 – 21xy + 18y2
D 5x2 + 21xy – 18y2 E 6x2 – 21xy + 18y
22.
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AB = BC = CD.
The perimeter of ABCDE is 44 cm.
The area of ABCDE is
A 148 cm2 B 124 cm2 C 114 cm2 D 100 cm2 E 58 cm2
23. Factorise 3t2 + 2t - 8
A (3t – 4)(t + 2) B (3t – 4)(t – 2) C (3t + 4)(t – 2)
D (3t – 8)(t + 1) E (3t + 8)(t – 1)
24. x = 2 x 32 x 52 x 7
y = 22 x 3 x 52 x 72
What is the Lowest Common Multiple (LCM) of x and y?
A 22 x 32 x 52 x 72 B 23 x 33 x 54 x 73 C 2 x 3 x 5 x 7
D 1 x 2 x 3 x 5 x 7 E 2 x 3 x 52 x 7
25. The capacity of a water tank is 4 500 litres.
Water can be pumped into the tank using two pumps, A and B.
Both A and B pump water at a constant rate.
It takes 50 minutes to fill the empty tank using only A.
It takes 75 minutes to fill the empty tank using only B.
How many minutes does it take to fill the empty tank using both A and B together?
A 25 minutes B 30 minutes C 45 minutes
D 60 minutes E 125 minutes
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