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Question and Solution 1 of 50
1. Question
15. Find the derivative of sinθ/cosθ
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Question and Solution 2 of 50
2. Question
31. If the function f(x) = x3 + 2×2 + qx – 6 is divisible by x + 1, find q
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Question and Solution 3 of 50
3. Question
47.
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Question and Solution 4 of 50
4. Question
16. In a class of 60 students, offer physics and 40 offer chemistry. If a student is picked at random from the class, what is the probability that the student offer both physics and chemistry?
Hint on solution:
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Question and Solution 5 of 50
5. Question
32. Find the minimum value of X2 – 3x + 2 for all real values of x
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Question and Solution 6 of 50
6. Question
48.
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Question and Solution 7 of 50
7. Question
1. In the cyclic quadrilateral, find <PRO.
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Question and Solution 8 of 50
8. Question
17. From the cyclic quadrilateral TUVW below, find the value of x.
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Question and Solution 9 of 50
9. Question
33. If X ∗ Y = X + Y – XY, find x when (x ∗ 2) + (x ∗3) = 68
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Question and Solution 10 of 50
10. Question
49.
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Question and Solution 11 of 50
11. Question
2. The Venn diagram shows a class of 50 students with this game they play. How many students play only two games?
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Question and Solution 12 of 50
12. Question
18. Evaluate (81/16)^((1)/4)×2^(1)
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Question and Solution 13 of 50
13. Question
34. Find the distance between the point Q (4,3) and the point common to the lines 2x – y = 4 and x + y = 2
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Question and Solution 14 of 50
14. Question
50.
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Question and Solution 15 of 50
15. Question
3. The pie chart below the distribution of subjects offered by students in sss3 level. If 80 students enrolled in the class, what is the size of the angle of the sector in Economics
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Question and Solution 16 of 50
16. Question
19. Solve 5 ^ 2x – 2 x 5 ^ x + 1 = 0.04
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Question and Solution 17 of 50
17. Question
35. Find the standard derivation of the following data 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5.
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Question and Solution 18 of 50
18. Question
4. The 4th term of an A.P is 13 while the 10th term is 31. Find the 24th term.
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Question and Solution 19 of 50
19. Question
20. The distance travelled by a particular from a fixed point is given as S = (t3 – t2 – t + 5)cm. find the minimum distance that the particle can cover from the fixed point
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Question and Solution 20 of 50
20. Question
36. The length of a notebook 15cm, was measured as 16.8cm. Calculate the percentage error to 2 significant figures.
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Question and Solution 21 of 50
21. Question
5. If the angle of a sector of a circle with radius 10.5cm is 120°, find the perimeter of the sector
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Question and Solution 22 of 50
22. Question
21. Find the mean deviation of 2,4,5 and 9
Hint for solution
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Question and Solution 23 of 50
23. Question
37. A worker’s present salary is N24,000 per annum. His annual increment is 10% of his basic salary. What would be his annual salary at the beginning of the third year?
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Question and Solution 24 of 50
24. Question
6.
The table above represents the outcome of throwing a die 100 times. What is the probability of obtaining at least a 4?
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Question and Solution 25 of 50
25. Question
22. Find the area of the figure below
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Question and Solution 26 of 50
26. Question
38. If x – 1 and x + 1 are both factors of the equation x3 + px2 + qx + 6 = 0, evaluate p and q
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Question and Solution 27 of 50
27. Question
7. If y = x^23x+4, find dy/dx at x = 5
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Question and Solution 28 of 50
28. Question
23. Find the angle subtended at the centre of a circle by a chord which is equal in length to the radius of the circle
Hint for solution:
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Question and Solution 29 of 50
29. Question
39. Which of the following binary operations is commutative on the set of integers?
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Question and Solution 30 of 50
30. Question
8. Evaluate (1.25 × 0.025)/0.05 correct to 1 decimal place
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Question and Solution 31 of 50
31. Question
24. Evaluate (81^(3/4) – 27^(1/3))/(3 ×2^3 )
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Question and Solution 32 of 50
32. Question
40. If a ∗ b = + √ab, evaluate 2 ∗(12 ∗ 27)
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Question and Solution 33 of 50
33. Question
9. The mean of 2 – t, 4 + t, 3 – 2t, 2 + t and t – 1 is
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Question and Solution 34 of 50
34. Question
24. A sector of a circle has an area of 55cm2. If the radius of the circle is 10cm, calculate the angle of the sector. [π = 22/7]
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Question and Solution 35 of 50
35. Question
41. Two perpendicular lines PQ and QR intersect at (1, 1). If the equation of PQ is x – 2y + 4 = 0, find the equation of QR
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Question and Solution 36 of 50
36. Question
10.
Find the mode of the distribution above
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Question and Solution 37 of 50
37. Question
26. If sinθ=(1)/2 for 0°<θ<360°, the value of θ is
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Question and Solution 38 of 50
38. Question
42. Find the area bounded by the curve y = 3×2 – 2x + 1, the ordinates x = 1 and x = 3 and the xaxis.
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Question and Solution 39 of 50
39. Question
11. Calculate the standard deviation of 5,4,3,2 and 1
Hint for solution
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Question and Solution 40 of 50
40. Question
27. If the distance between the points (x, 3) and (x, 2) is 5. Find x
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Question and Solution 41 of 50
41. Question
43. The mean of twelve positive numbers is 3. When another number is added, the mean becomes 5. Find the thirteenth number
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Question and Solution 42 of 50
42. Question
12. If P = {x: x is odd, 1 < x ≤ 20} and Q = {y: y is prime, 2 < y ≤ 25}, find P n Q.
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Question and Solution 43 of 50
43. Question
28.
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Question and Solution 44 of 50
44. Question
44. A binary operation ⊕ is defines on the set of all positive integers by a ⊕ b = ab for all positive integers a, b. Which of the following properties does NOT hold?
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Question and Solution 45 of 50
45. Question
13. Solve for x: (x – 2) < 3
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Question and Solution 46 of 50
46. Question
29. find the equation of the curve which passes through 6x – 5 at (0, 3)
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Question and Solution 47 of 50
47. Question
45. If M(4, q) is the midpoint of the line joining L(p, 2) and N(q, p). Find the values of p and q
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Question and Solution 48 of 50
48. Question
14. What is the size of each interior angle of a 12side regular polygon?
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Question and Solution 49 of 50
49. Question
30. Find the simple interest rate percent per annum at which N1,000 accumulates to N1,240 in 3 years
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Question and Solution 50 of 50
50. Question
46.
The multiplication table above has modulo 10 on the set S = (2, 4, 6, 8). Find the inverse of 2
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