BUK Mathematics 2007/2008 Past Questions

A sales girl gave a change of #115 to a customer instead of #125. Calculate her percentage error.

What is the probability of having an odd number in a single toss of a fair die?

Student measured the length of a room and obtained the measurement of 3.99m. If the percentage error of her measurement was 5% and her own measurement was smaller than the length, what is the length of the room?

Evaluate 0.009 + 0.12 leaving your answer in standard form

An arc of a circle of radius 7cm is 24cm long, what angle does the arc subtend at the centre of the circle (take Π=22/7)

If 5 times a certain integer is subtracted from twice the square of the integer the result is 63. Find the integer.

If 3x = 243, find the value of x.

Simplify ${9^{-1/2}} / {27^{-2/3}}$

Simplify ${125^{-1/3}} × {49^{-1/2} × 10^0}$

If the radius of the parallel of latitude, 30°N is equal to the radius of the parallel of latitude Ɵ°S what is the value of Ɵ?

If the shadow of a pole 7m high is half its length, what is the angle of elevation of the sun, correct to the nearest degree?

Convert 77 to a number in base two

What must be added to the expression x² - 18x to make it a perfect square?

Solve the equation: $m/3 + 1/2 = 3/4 + m/4$

if cosƟ = 5, what is the value of 13tanƟ for 0<Ɵ<90

A fair die is rolled once, what is the probability of obtaining 4 or 6 ?

Solve the equation x²-2x-3=0

Which of the following is equal to 72/125?

Given 2p-m-6 and 2p+4m-1, find the value of 4p+3.70m

For what value of X is the expression ${x^2 + 15x + 50}/{x-5}$ not defined

A cuboid of base 12.5cm by 20cm holds exactly 1 litre of water. what is the height of the cuboid? (1 litre = 1000cm³)

A ladder 6m long leans against aa vertical wall so that it makes an angle of 60° with the wall. Calculate the distance of the foot of the ladder from the wall

Find the probability that a number selected from 30 to 50 inclusive is a prime.

If three children share #1050 among themselves in the ration 6:7:8, how much is the largest share?