INSTRUCTIONS
Answer all questions in this paper
DURATION : 1 hour
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Question 1 of 15
1. Question
Simplify 4(x+2y)-(3x-8y)
CorrectIncorrect -
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Question 2 of 15
2. Question
A straight line passes through A(3,2) and B(5,m) has gradient -2. Find the value of m.
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m =
CorrectIncorrect -
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Question 3 of 15
3. Question
The first three terms in an arithmetic progression are 5,7 and 9. find
(a) the common difference
(b) the sum of the first 12 terms
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(a) d =
(b)
Correct 3 / 3 PointsIncorrect / 3 Points -
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Question 4 of 15
4. Question
Evaluate
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Ans =
Correct 2 / 2 PointsIncorrect / 2 Points -
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Question 5 of 15
5. Question
The first three terms in an arithmetic progression are 5, 7 and 9. Find the
(a) Common difference,
(b) Sum of the first 12 terms.
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(a) d = (b) Ans =
Correct 3 / 3 PointsIncorrect / 3 Points -
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Question 6 of 15
6. Question
In a game the probability of a prayer losing is 0.3. What is the probability of a player wining the game?
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Ans =
CorrectIncorrect -
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Question 7 of 15
7. Question
The scale of a map 1 : 20 000. The actual area of residential plots is 60 km². Calculate its area of residential plots on the map in square centimeters.
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Ans = cm²
CorrectIncorrect -
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Question 8 of 15
8. Question
Solve the equation
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x =
Correct 2 / 2 PointsIncorrect / 2 Points -
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Question 9 of 15
9. Question
The diagram below shows a sector AOB of a circle with center O and radius 7 cm. The area of the sector is 77/3 cm², [π = 22/7]
Calculate the angle AOB
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Angle AOB = degrees
Correct 2 / 2 PointsIncorrect / 2 Points -
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Question 10 of 15
10. Question
The diagram below shows a circle with a tangent RWS. The points V, W, X and Y are on the circle such that angle XYW = 44°, angle VWY = 54° and angle SWV = 39°.
Calculate
(a) Angle RWX
(b) Angle XVW
(c) Angle YXW
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(a) Angle RWX = degrees
(b) Angle XVW = degrees
(c) Angle YXW = degrees
Correct 4 / 4 PointsIncorrect / 4 Points -
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Question 11 of 15
11. Question
Two variables x and y have corresponding values as shown in the table below.
Given that y varies directly as ( x² +1 ), find the;
(a) Constant of variation, k,
(b) Values of a.
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(a) k =
(b) the smaller value of a = or the bigger value of a =
Correct 3 / 3 PointsIncorrect / 3 Points -
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Question 12 of 15
12. Question
In the diagram below, a cyclist starts from town W and cycles on a bearing of 216° to town P. She then leaves town P and cycles on a bearing 296° to Z. Z is west of W.
Calculate
(a) angle PWZ
(b) Angle WPZ
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(a) Angle PWZ = degrees
(b) Angle WPZ = degrees
Correct 4 / 4 PointsIncorrect / 4 Points -
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Question 13 of 15
13. Question
Solve the equation (2x – 1)² = 25. writing your answer in ascending order.
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x = or x =
Correct 2 / 2 PointsIncorrect / 2 Points -
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Question 14 of 15
14. Question
Find the equation of a line which is parallel to 2x + y = 3 passing through (-2, 3). (NOTE: don’t put any space and make y the subject of the formula)
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Ans =
Correct 2 / 2 PointsIncorrect / 2 Points -
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Question 15 of 15
15. Question
The diagram below shows the speed time graph of a particle. The particle started off from rest and accelerated uniformly for 10 seconds. It then travelled at a constant speed for 20 seconds and then decelerated to rest.
(a) Find the speed V, the particle reached if its acceleration was 2 m/s² in the first 10 seconds.
(b) Given that the total distance covered was 750 m, find the value of t on the diagram.
(c) What was the speed at 40 seconds.
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(a) Ans = m/s
(b) Ans = seconds
(c) Ans = m/s
Correct 6 / 6 PointsIncorrect / 6 Points -
