BUK Mathematics 2014/2015 Past Questions

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

In a certain game, each player scores either 2 points or 5 points. If n players score 2 points, m players score 5 points and the total number of points scored is 50, what is the least possible positive difference between n and m

A.1
B. 3
C. 5
D. 7

A sink contains exactly 12 litres of water. If water is drained from the sink until it holds exactly 6 litres of water less than the quantity drained away, how many litres of water were drained away?

A. 2
B. 3
C. 4.5
D. 9

Cheese, tuna and peanut butter sandwiches were made for a picnic in a ratio of 5 to 7. If a total of 120 sandwiches were made, how many tuna sandwiches were made?

A. 15
B. 30
C. 38
D. 42

What is one third of one quarter of one fifth of one half of 120?

A. 1
B. 3
C. 4
D. 5

What is 100% of 225?

A. 2250
B. 450
C. 225
D. 22.5

If we square -1, what do we get

A. 0
B. -1
C. 1
D. -2

Out of all the 2-digit integers between 1 and 100, a 2-digit has to b selected at random. What is the probability that the selected number is not divisible by 7?

A. 13/90
B. 77/90
C. 78/90
D. 12/90

A number is as much greater than 75 as it is smaller than 117. The number is:

A. 91
B. 93
C. 89
D. 96

The common ratio of a GP is 2. If the fifth term is greater than the first term by 45, find the fifth term

A. 3
B. 6
C. 45
D. 48

If sin x = cos 50, then x equals

A. 40°
B. 45°
C. 50°
D. 90°

At a point 500m from the base of water tank the angle of elevation of the top of the tank is 45°. Find the height of the tank

A. 250m
B. 353m
C. 500m
D. 433

If the distance between the points (x,3) and (-x,2) is 5 Find x

A. 6.0
B. 2.5
C. √3
D. √6

If 2x² + kx - 14 = (x+2)(2x-7), find the value of k

A. -3
B. 5
C. 9
D. 11

Which of the following is not a quadratic expression

A. y = 2x²
B. y = x(x-5)
C. y = x² - 5
D. y = 5(x-1)

The graph of the curve y = 2x² - 5x - 1 and a straight line PQ were drawn to solve the equation 2x² - 5x + 2 = 0 What is the equation of the line PQ

A. y = -1
B. y = 1
C. y = 3
D. y = -3

If 2x : (x + 1) = 3:2, what is the value of x

A. ½
B. 1
C. 3
D. 1 ½

The bearing 540°E is the value of x

A. 140°
B. 050°
C. 130°
D. 40°

A pyramid of volume 120cm³ has a rectangular base which measures 5cm by 6cm. Calculate the height of the pyramid.

A. 12cm
B. 9cm
C. 5cm
D. 15cm

The four interior angles of a quadrilateral are (x+20)°, (x+10)°, (2x-45)° and (x-25)°

A. 60
B. 80
C. 100
D. 360

If m and n are the mean and median respectively of the set of numbers 2,3,9,7,6,7,8,5, find m+2n to the nearest whole number

A. 19
B. 18
C. 13
D. 11

If P = {3, 5, 6} and Q = {4, 5, 6} then P ⋂ Q equals

A. {1}
B. {1,2,3,4}
C. {1,2}
D. ∅

If P = {3, 4, 5}, Q = {2, 4, 6} and R = {1, 2, 3, 4}

A. {1,3}
B. {1,2,3,4}
C. {1,2,3,4,5,6}
D. {2,3,4}

Compute 110011₂ + 11111₂

A. 1001010₂
B. 1010010₂
C. 1000110₂
D. 1000100₂