BUK Mathematics 2016/2017 Past Questions

Practice each question, then open it to see the full details.

In how many ways can 2 students be selected from a group of 5 students in a debating competition?

A. 25 ways
B. 20 ways
C. 15 ways
D. 10 ways

The graph below shows the cumulative frequency curve of the distribution of marks in a class est. What percentage of the students scored more than 20?

A. 8%
B. 68%
C. 28%
D. 17%

Find the mean deviation of 1,2,3 and 4

A. 2.0
B. 2.5
C. 1.5
D. 1.0

Find the value of x in the figure below

A. 5√6
B. 3√6
C. 20√6
D. 15√6

Find the value of α² + β² if α + β = 2 and the distance between the points (1,α) and (β,1) is 3 units.

A. 14
B. 11
C. 3
D. 5

Find the remainder when 3x³ + 5x² - 11x + 4 is divided by x + 3

A. 1
B. -4
C. 4
D. -1

Given that the first and fourth terms of a G.P are 6 and 162 respectively, find the sum of the first three terms of the progression

A. 48
B. 78
C. 27
D. 8

Factorize completely ac - 2bc - a² + 4b²

A. (a - 2b)(c- a + 2b)
B. (a - 2b)(c + a + 2b)
C. (a - 2b)(c + a -2b)
D. (a - 2b)(c - a - 2b)

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4s is 64m long, find the length of a pendulum with period 9s

A. 96cm
B. 36cm
C. 324cm
D. 144cm

What is the rate of change of volume, v, of a hemisphere with respect to its radius, r, when r = 2?

A. 4π
B. 8π
C. 16π
D. 2π