Duration: 40 minutes
answer all the questions
Indicate the final solutions in the spaces provided, without showing your workings.
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Question 1 of 12
1. Question
Simplify 3(b + 8) – 4(b – 5)
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Question 2 of 12
2. Question
Factorise completely Km – 6Ln + 3Kn – 2Lm
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Question 3 of 12
3. Question
The determinant of the matrix B is 2
what is the value of K
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k =
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Question 4 of 12
4. Question
For the sequence 7, 9, 11, 13,………… write down
(a) The eleventh term
(b) The expression for the nth term
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(a) =
(b) Tn =
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Question 5 of 12
5. Question
The first three terms of a geometric progression are 1 + x, 3 + x and 7 + x, find
(a) the value of x [1]
(b) the common ratio [2]
(c) the sum of the first 8 terms of the G.P. [2]
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(a) x =
(b) common ratio =
(c) sum to infinity =
Correct 8 / 8 PointsIncorrect / 8 Points -
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Question 6 of 12
6. Question
Solve the equation 2x2 = 5x – 1, giving your answers correct to 2 decimal places.
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smaller value of x =
bigger value of x =
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Question 7 of 12
7. Question
Given the quadratic equation (2x-1)(3x-2) = 3. identify the constants a , b and c
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a =
b =
c =
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Question 8 of 12
8. Question
There are 50 green and red marbles in a bag. Given that the probability of choosing a green marble is , Calculate the number of red marbles in the bag.
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Question 9 of 12
9. Question
The diagram below shows points B, C, D, E and F that lie on a circle with diameter
BE and centre O. AH is a tangent to the circle at B. BE and CF meet at G. Given
that angle CDE = 126oand angle BGC = 62o, Calculate
(i) Angle ABC [1]
(ii) Angle BCF [2]
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Angle ABC = degrees
Angle BCF = degrees
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Question 10 of 12
10. Question
A function h is defined as h(x) = x – 5 and
(i) h(– 4) [1]
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h(-4) =
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Question 11 of 12
11. Question
A function h is defined as h(x) = x – 5 find the value of x for which h(x) = 3
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x =
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Question 12 of 12
12. Question
A function h is defined as h(x) = x – 5 and g(x) = 12 – 3x, find
The value of x for which h(x) = g(x)
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x =
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