Calculate the total surface area of a solid cone of slant height 15cm and base radius 8cm in terms of π
- A. 64πcm2
- B. 12Oπcm2
- C. 184πcm2
- D. 200πcm2
- E. 32Oπcm2
The length of the two parallel sides of trapezium are 6cm and 10cm and the perpendicular distance between them is 5cm. Find the area of the trapezium
- A. 21cm2
- B. 4Ocm2
- C. 8Ocm2
- D. 150cm2
- E. 300cm2
Two points P and Q are on longitude 67°W. Their latitudes differ by 90°. Calculate their distance apart in terms of π. (Take radius of the earth = 6400km).
- A. 6400πkm
- B. 6400km/π
- C. 3200πkm
- D. 3200km
- E. 3200km/π
In the triangle XYZ , XM is the altitude from X to YZ.XY = 13cm, XZ = 15cm and YM = 5cm. Find the length of YZ
- A. 9cm
- B. 12cm
- C. 14cm
- D. 19.85cm
- E. 23cm
If x varies over the set of real numbers, which of the following is illustrated in the diagram above?
- A. -2 ≤ x < 3
- B. -2 < x ≤ 3
- C. -2 < x < 3
- D. -2 ≤ x ≤ 3
- E. x ≥ 3
P varies inversely as the square of W. When W = 4, P = 9. Find the value of P when W = 9
- A. 729/16
- B. 6
- C. 4
- D. 16/9
- E. 4/3
Make q the subject of the relation t = √(pq/r – r\(^2\)q)
- A. q = \(\frac{rt^2}{(p - r^3)}\)
- B. q = \(\frac{t^2}{(p - r^2)}\)
- C. q = \(\frac{rt}{(p - r^3)}\)
- D. q = \(\frac{(p - r^3)}{rt^2}\)
- E. q = rt\(^2\)(p - r\(^3\))
Solve the equations: 4x -y = 11; 5x + 2y = 4.
- A. x = 6, y = 13
- B. x = -2, y = -3
- C. x = -2, y = 3
- D. x = 2, y = -3
- E. x = 2, y = 3.
Which of the following equations has its roots as 4 and -5?
- A. x2 + 4x - 20 = 0
- B. x2 + x + 20 = 0
- C. x2 - x + 20 = 0
- D. x2 + x - 20 = 0
- E. x2 - x - 20 = 0
Solve me equation: 2/3 (x + 5) = 1/4(5x – 3)
- A. 11/7
- B. 18/23
- C. 3
- D. 43/7
- E. 7
A student found the approximate value of 0.02548 correct to two places of decimal instead of two significant figures. Find the percentage error.
- A. 0%
- B. 131/3%
- C. 15 5/13%
- D. 2/3%
- E. 20%
A and B are two sets. The number of elements in A∪B is 49, the number in A is 22 and number in B is 34. How many elements are in A ∩ E?
- A. 105
- B. 27
- C. 15
- D. 12
- E. 7
If P = {3, 5, 6} and Q = {4, 5, 6} then P∩Q equals
- A. {3, 4}
- B. {4, 5}
- C. {4, 6}
- D. {5, 6}
- E. {3, 5}
Express (0.0425 / 2.5) as a fraction
- A. 17/10,000
- B. 17/1,000
- C. 17/250
- D. 17/100
- E. 17/10