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1. A block of cheese, of mass 8 kilograms, is cut by a machine into 500 equal slices.
(a) Calculate the mass of one slice of cheese in kilograms.
Answer (a) ……….………………….…… kg[1]
(b) Write your answer to part (a) in standard form.
Answer (b) ……….………………….…… kg[1]
2. Simplify
(a) p2 × p3,
Answer (a) ……………..…………………[1]
(b) q3 ÷ q–4,
Answer (b) ………..………………………[1]
(c) (r2)3.
Answer (c) ………………………..………[1]
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3. Solve the equation.
4.
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5. Revina has to pass a written test and a driving test before she can drive a car on her own.
The probability that she passes the written test is 0.6.The probability that she passes the driving test is 0.7.
(a) Complete the tree diagram below.
P ass
F a il
P a ss
F a il
P a ss
F a il
0 .7
.......
0 .6
.......
0 .7
.......
W ritten te s t D riv in g te s t
[1]
(b) Calculate the probability that Revina passes only one of the two tests.
Answer (b) ………..………………….……[3]
6. Solve:
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7. (a)
(b)
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8.
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9.
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10.
BMA
1 2 cm 1 2 cm
The shape above is made by removing a small semi-circle from a large semi-circle.AM = MB = 12 cmCalculate the area of the shape.
Answer …………………… cm2
[3]
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11.
y
C (4 ,3 )
B (1 , 2 )
A
4 x y = 62 x + 3 y = 1 7
x
NOT TO SCALE
In the diagram, the line AC has equation 2x + 3y = 17 and the line AB has equation 4x – y = 6.The lines BC and AB intersect at B (1, –2).The lines AC and BC intersect at C (4, 3).
(a) Use algebra to find the coordinates of the point A.
Answer (a) …….………………………….[3]
(b) Find the equation of the line BC.
Answer (b) …….………………………….[3]
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12.
13. Write as a single fraction in its simplest form
.1
45
xx
Answer ……………………………………[2]
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14.
ANSWER QUESTION 15. ON THE NEXT PAGE!
15.
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ANSWER QUESTION 16. ON THE NEXT PAGE!
16.
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17.
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