A cone is made from a sector of circle of radius 14cm and angle of 90o. What is the area of the curved surface of the cone? (Take x = 22/7)
- A. 22cm2
- B. 38.5cm2
- C. 77cm2
- D. 154cm2
- E. 308cm2
Which of the regions P, Q, R, S and T satisfies the following 0 < y < 1, y < x + 2, x < 0
- A. P
- B. Q
- C. R
- D. S
- E. T
Abidjan is 4o west of Accra and on the same circle of latitude. If the radius of this circle of latitude is 6370km, how far is Abidjan west of Accra, correct to the nearest kilometer? [Take π = 22/7]
- A. 222km
- B. 445km
- C. 890km
- D. 5005km
- E. 10010km
IN the diagram above, LK/PQ, reflex angle KLM = 241° and ∠QPM = 89°. What is the value of ∠LMP?
- A. 30o
- B. 61o
- C. 89o
- D. 119o
- E. 150o
Which of the following is a correct method for constructing an angle of 60o at Q?
- A. I only
- B. II only
- C. III only
- D. I and II only
- E. II and III only
Factorize 5y\(^2\) + 2ay – 3a\(^2\)
- A. (5y - a) (y + 3a)
- B. (5y + a) (y - 3a)
- C. 5y2 + a (2y - 3a)
- D. (y - a) (5y + 3a)
- E. (y + a) (5y - 3a)
In the diagram above, O is the center of the circle, BOC is a diameter and angle ADC is 37o
What is ACB?
- A. 147o
- B. 127o
- C. 65o
- D. 53o
- E. 37o
Find the product xy if, x, 3/2, 6/7, y are in G.P
- A. 24/49
- B. 4/7
- C. 9/7
- D. 7/4
- E. 21/8
Evaluate log106 + log1045 – log1027 without using logarithm tables
- A. o
- B. 1
- C. 1.1738
- D. 1.3802
- E. 10
A water tank is made with a right-angled trapezium – shaped vertical cross-section so that when it is placed on sloping ground the top of the tank is level. The dimension are given in the diagram above
By what number will you multiply your answer in 22 above to determine the capacity of the tank in liters?
- A. 1/10
- B. 1
- C. 10
- D. 100
- E. 1000
A water tank is made with a right-angled trapezium – shaped vertical cross-section so that when it is placed on sloping ground the top of the tank is level. The dimension are given in the diagram above
If the tank is completely filled with water, how many cubic metres can it hold?
- A. 66m3
- B. 84m3
- C. 132m3
- D. 168m3
- E. 264m3
What is the probability of having an odd number in a single toss of a fair die?
- A. 1/6
- B. 1/3
- C. 1/2
- D. 2/3
- E. 5/6
A sales girl gave a change of N1.15 to a customer instead of N1.25. Calculate her percentage error
- A. 10%
- B. 7%
- C. 8.0%
- D. 2.4%
- E. 10%
Find the quadratic equation whose roots are x = -2 or x = 7
- A. x2 + 2x - 7 = 0
- B. x2 - 2x + 7 = 0
- C. x2 + 5 +14 = 0
- D. x2 - 5x - 14 = 0
- E. x2 + 5x - 14 = 0
Calculate the value of x in the diagram above
- A. 18o
- B. 30o
- C. 40o
- D. 60o
- E. 15°
A student told to draw the graph of y = x2 + 4x – 6. He is then told to draw a liner graph on the same axis such that the intersection of the two graphs will give the solutions to the equation x2 + 4x – 7 = 0, What is the equation of the linear graph he needs to draw?
- A. x = 1
- B. x = -1
- C. y = 1
- D. y = -1
- E. x + y = 1
If sinθ = 3/5 find tanθ for 0 < θ < 90o
- A. 4\5
- B. 3\4
- C. 5\8
- D. 1\2
- E. 3\8
Points P and Q respectively 24m north and 7m east point R. What is the bearing of Q from P to the nearest whole degree?
- A. 16o
- B. 17o
- C. 73o
- D. 106o
- E. 164o
Points P and Q respectively 24m north and 7m east point R. Calculate |PQ| in meters
- A. 20
- B. 24
- C. 25
- D. 31
- E. 84
The number 186,470 was corrected to 186,000. Which of the following describe the degree of approximation made?
I. to the nearest hundred II. to the nearest thousand III. to 3 significant figures IV. to 4 significant figures
- A. I & III only
- B. I & IV only
- C. II & III only
- D. II & IV only
- E. All of the above