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Question 1 of 50
1. Question
Find the non-zero negative value of x which satisfies the equation
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Question 2 of 50
2. Question
If Z=
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Question 3 of 50
3. Question
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Question 4 of 50
4. Question
Find the centre and radius of the circle 8x2 + 8y2 – 24x – 40y + 18 = 0.
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Question 5 of 50
5. Question
Find the equation of the tangent to the circle 2x2 + 2 y 2 = 30 at the point (−3, 6) .
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Question 6 of 50
6. Question
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Question 7 of 50
7. Question
Find the gradient of the curve y= x2 − 6x2 + 11x − 6 at the point (1, 0)
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Question 8 of 50
8. Question
Given sets = (a, b, 1, 3) and B = (a, 2, 4), find A u B.
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Question 9 of 50
9. Question
Let P be the set of prime factors of 42 and Q be the set of prime factors of 45. Find P n Q
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Question 10 of 50
10. Question
A polynomial 2x3 = xa2 + bx – 1 has a factor (x – 1) and the reminder when it is divided by (x – 2) is -4. Find a+b
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Question 11 of 50
11. Question
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Question 12 of 50
12. Question
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Question 13 of 50
13. Question
If y=x(x6 – 1), find the range which y=0
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Question 14 of 50
14. Question
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Question 15 of 50
15. Question
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Question 16 of 50
16. Question
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Question 17 of 50
17. Question
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Question 18 of 50
18. Question
The expression px2 + + 4 = 1. If the derivative is 2x + 1, what are the values of p, q and r respectively
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Question 19 of 50
19. Question
The gradient of a curve at any point (x, y) is given by 2x + 3. If the curve passes through the origin, find the equation of the curve
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Question 20 of 50
20. Question
The position of an object in motion at any time (t) is given by s = 3t3 – 5t – 2. Obtain the velocity of the object after 2 seconds.
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Question 21 of 50
21. Question
Find the derivative of 2x3 – 5x2 + 2
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Question 22 of 50
22. Question
Find the derivative of y = (3 + 2x) (1 – x)
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Question 23 of 50
23. Question
Differentiate (x +y)2 = 5
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Question 24 of 50
24. Question
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Question 25 of 50
25. Question
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Question 26 of 50
26. Question
Find the modulus of 2i + 3j – 4k
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Question 27 of 50
27. Question
Find the scalar products of a = 2i + 3j and b = – i + 4j
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Question 28 of 50
28. Question
Find the value of n for which the vector si +nj -3k and ni – j + 5k are perpendicular
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Question 29 of 50
29. Question
Obtain the projection of vector a = (3,-1.5) on the vector b = (2.1,-3)
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Question 30 of 50
30. Question
Find the volume of the tetrahedron OABC with point A (2,1,1) ,B(0,-1,1) and C(-1,3,0).
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Question 31 of 50
31. Question
The distance in meters (m) moved by a particle in time in seconds (s) is given by S= 1.5t2 − t. Find its speed after seconds.
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Question 32 of 50
32. Question
A car starts from and travels 10km due West, 20km North-West and 30km due North. Find the displacement from A.
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Question 33 of 50
33. Question
The brakes of a train are able to produce retardation of 1.2m/s. if the train is travelling at 90km/h, at what distance from a station should the brakes be applied.
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Question 34 of 50
34. Question
A particle is projected with a velocity of 20m/s up a smooth inclined plane of inclination 30°. Find the distance described up the plane.
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Question 35 of 50
35. Question
A block of mass 20kg rests on a horizontal plane whose coefficient of friction is 0.4. Find the least force required to move the block if it acts horizontally.
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Question 36 of 50
36. Question
A mass of 8kg hangs in equilibrium, suspended by two light inelastic strings making angles 30° and 45° with the horizontal, calculate the tensions in the two strings.
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Question 37 of 50
37. Question
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Question 38 of 50
38. Question
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Question 39 of 50
39. Question
In how many ways can a committee of 2 men and 2 women be formed from 3 men and 5 women?
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Question 40 of 50
40. Question
The formular for Spearman’s rank correlation is:
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Question 41 of 50
41. Question
The following are continuous random variables except
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Question 42 of 50
42. Question
The following are features of a standard normal curve except
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Question 43 of 50
43. Question
An experiment in which the outcomes are two possibilities: “Success” or “failure” is said to be
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Question 44 of 50
44. Question
The range of values of rank correlation (rrank) is
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Question 45 of 50
45. Question
Find the geometric mean of the data: 5, 15, 10, 8, 12.
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Question 46 of 50
46. Question
One can easily determine the ___________ of a distribution from histogram.
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Question 47 of 50
47. Question
Find the mean of the following scores.
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Question 48 of 50
48. Question
What is the mode of the following numbers 1, 8, 8, 10, 9, 2, 7, 8, 2, 2, 4, 1, 1, 8, 7, 1
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Question 49 of 50
49. Question
The __________ level of a test is the maximum probability of committing Type I error when the null hypothesis holds.
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Question 50 of 50
50. Question
The standard deviation of a statistic describes
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