A rope of length 18m is used to form a sector of a circle of radius 3.5m on a school playing field. What is the size of the angle of the sector, correct to the nearest degree?
- A. 33o
- B. 40o
- C. 90o
- D. 180o
- E. 270o
In the diagram above, O is the centre of the circle through points L, M and N, if โ MLN = 74o and โ MNL = 39o, calculate โ LON.
- A. 67o
- B. 100o
- C. 113o
- D. 126o
- E. 134o
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 ฯ = 22/7]
- A. 222km
- B. 445km
- C. 890km
- D. 5005km
- E. 10010km
IN the diagram above, LK/PQ, reflex angle KLM = 241ยฐ and โ QPM = 89ยฐ. What is the value of โ 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
When an aeroplane is 800m above the ground, its angle of elevation from a point P on the ground is 30o. How far is the plane from P by line of sight?
- A. 400m
- B. 800m
- C. 1500m
- D. 1600m
- E. 1700m
A student measured the length of a room and obtained the measurement of 3.99m. If the percentage error of is measurement was 5% and his own measurement was smaller than the length , what is the length of the room?
- A. 3.78m
- B. 3.80m
- C. 4.18m
- D. 4.20m
- E. 4.788m
If log\(_{10}\) a = 4; what is a?
- A. 0.4
- B. 40
- C. 400
- D. 1000
- E. 10000
Simplify 0.63954 รท 0.003 giving your answer correct to two significant figures
- A. 213.18
- B. 213.00
- C. 213
- D. 210
- E. 21
Cos x is negative and sin x is negative.Which of the following is true of x?
- A. 0o < x < 90o
- B. 90o < x <180o
- C. 180o < x < 270o
- D. 270o < x <360o
- E. -90o < x <90o
If log\(_{10}\) q = 2.7078, what is q?
- A. 5102
- B. 849.9
- C. 510.2
- D. 84.99
- E. 51.02
What value of k makes the given expression a perfect square ? m\(^2\) – 8m + k = 0
- A. 2
- B. 4
- C. 8
- D. 16
- E. 64
Find the root of the equation 2x\(^2\) – 3x – 2 = 0
- A. x = -2 or 1/2
- B. x = -2 or1
- C. x = -2 or 2
- D. x = -1 or 2
- E. x = -1/2 or 2
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