- 1. 1. Express, correct to three significant figures, 0.003597.
A) 0.00359
B) 0.359
C) 0.00360
D) 0.004
- 2. 2. Evaluate; log39 − log28 / log39
A) 1/3
B) -1/3
C) -1/2
D) 1/2
- 3. 3. If 6, P, and 14 are consecutive terms in an Arithmetic Progression (AP), find the value of P.
A) 6
B) 10
C) 8
D) 9
- 4. 4. Evaluate: 2√28 − 3√5 + √72
A) 4√7+√2
B) 4√7-21√2
C) 4√7-9√2
D) 4√7-11√2
- 5. 5. If 3p = 4q and 9p = 8q - 12, find the value of pq.
A) 7
B) -12
C) -7
D) 12
- 6. 6. Evaluate; log3 9 − log2 8 / log3 9
A) -1/2
B) 1/2
C) -1/3
D) 1/3
- 7. 7. If 6, P, and 14 are consecutive terms in an Arithmetic Progression (AP), find the value of P.
A) 10
B) 6
C) 9
D) 8
- 8. 8. Evaluate: 2 √28−3 √50+ √72
A) 4√7-11√2
B) 4√7-9√2
C) 4√7+√2
D) 4√7-21√2
- 9. 9. If 3p = 4q and 9p = 8q - 12, find the value of pq.
A) 12
B) 7
C) -12
D) -7
- 10. 10. If (0.25)y = 32, find the value of y.
A) 5/2
B) -3/2
C) 3/2
D) -5/2
- 11. 11. Simplify: x2−5x−14/ x2−9x+14
A) x+2/x-2
B) x-7/x+7
C) x+7/x-7
D) x-2/x+2
- 12. 12. Which of these values would make 3p−1 /p2−p undefined?
A) 1/3
B) -1/3
C) 1
D) -1
- 13. 13. In XYZ, |YZ| = 32cm, <YXZ = 53 degree and <XZY = 90 degree. Find, correct to the nearest centimetre, |XZ|
A) 20cm
B) 13cm
C) 31cm
D) 25cm
- 14. 14. If logx 2 = 0.3, evaluate logx 8.
A) 0.9
B) 1.2
C) 0.6
D) 2.4
- 15. 15. The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rest against the pole at a point 8m above the ground. How long is the ladder?
A. 14m
A) 12cm
B) 7cm
C) 14cm
D) 10cm
- 16. 16.
If tan x = 3/4, 0 < x < 90 degree, evaluate cosx/2sinx
A) 8/3
B) 2/3
C) 3/2
D) 4/3
- 17. 17. The fourth term of an Arithmetic Progression (A.P) is 37 and the first term is -20. Find the common difference.
A) 19
B) 17
C) 3
D) 57
- 18. 18. Evaluate: 0.42÷2.5/0.5×2.95, leaving the answer in the standard form.
A) 1.639 x 101
B) 1.639 x 10^−1
C) 1.639 x 102
D) 1.639 x 10^−2
- 19. 19. Find the 5th term of the sequence 2,5,10,17....?
A) 36
B) 26
C) 24
D) 22
- 20. 20. Given that sin x = 3/5, 0 ≤ x ≤ 90, evaluate (tanx + 2cosx)
A) 1/20
B) 2 11/20
C) 11/20
D) 2 7/20
- 21. 21. Evaluate and correct to two decimal places, 75.0785 - 34.624 + 9.83
A) 50.28
B) 30.63
C) 30.60
D) 50.29
- 22. 22. Simplify; [(16/9)^−3/2 x 16^−3/4]1/3
A) 1/4
B) 3/4
C) 9/16
D) 3/8
- 23. 23. If 101 base two + 12 base y = 3.3 base five. Find the value of y
A) 6
B) 5
C) 7
D) 8
- 24. 24. Given that √3+√5 /√5
= x + y√15, find the value of (x + y)
A) 1 2/5
B) 1 3/5
C) 1/5
D) 1 1/5
- 25. 25. Solve 3x - 2y = 10 and x + 3y = 7 simultaneously
A) x = 4 and y = 1
B) x = -4 and y = -1
C) x = 1 and y = 4
D) x = -1 and y = -4
- 26. 26. The first term of a geometric progression (G.P) is 3 and the 5th term is 48. Find the common ratio.
A) 2
B) 16
C) 8
D) 4
- 27. 27. Given that x is directly proportional to y and inversely proportional to Z, x = 15 when y = 10 and Z = 4, find the equation connecting x, y and z
A) x=3y/z
B) x=6y/z
C) x=12y/z
D) x=3y/2z
- 28. 28. A man is five times as old as his son. In four years' time, the product of their ages would be 340. If the son's age is y, express the product of their ages in terms of y.
A) 5y2−16y−380=0
B) 5y2−24y−380=0
C) 5y2−16y−330=0
D) 5y2+24y−324=0
- 29. 29. In the diagram, XYZ is an equilateral triangle of side 6cm and Y is the midpoint of XY. Find tan (< XZT)
A) √3
B) √3/2
C) 1/2
D) 1/√3
- 30. 30. A fence 2.4 m tall, is 10m away from a tree of height 16m. Calculate the angle of elevation of the top of the tree from the top of the fence.
A) 51.32
B) 53.67
C) 52.40
D) 76.11
- 31. 31. If tan y is positive and sin y is negative, in which quadrant would y lie?
A) First and third only
B) Third only
C) Second only
D) First and second only
- 32. 32. A woman received a discount of 20% on a piece of cloth she purchased from a shop. If she paid $525.00, what was the original price?
A) $656.25
B) $660.25
C) $675.25
D) $616.25
- 33. 33. Find the least value of x which satisfies the equation 4x = 7(mod 9)
A) 7
B) 5
C) 6
D) 4
- 34. 34. If (x + 2) is a factor of x22 +px - 10, find the value of P.
A) -3
B) 3
C) -7
D) 7
- 35. 35. Simplify: (12 base two)2
A) 100012
B) 10012
C) 11012
D) 1012
- 36. 36. A trader paid import duty of 38 kobo in the naira on the cost of an engine. If a total of #22,800.00 was paid as import duty, calculate the cost of the engine.
A) #120,000.00
B) #24,000.00
C) #18,000.00
D) #60,000.00
- 37. 37. The distance d between two villages east is more than 18 KM but not more than 23KM.
which of these inequalities represents the statements?
A) 18 < d < 23
B) 18 < d ≤ 23
C) 18 ≤ d < 23
D) 18 ≤ d ≤ 23
- 38. 38. A man will be (x+10)years old in 8years time. If 2years ago he was 63 years., find the value of x
A) 55
B) 63
C) 57
D) 67
- 39. 39. From a point T, a man moves 12km due west and then moves 12km due south to another point Q. Calculate the bearing of T from Q.
A) 225
B) 045
C) 315
D) 135
- 40. 40. In the diagram, PQ // SR. Find the value of x
A) 46
B) 68
C) 57
D) 34
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