BUK Mathematics 2012/2013 Past Questions

Divide 2x³ + 11x² -17x + 6 by 2x - 1

Express ${11x + 2}/{6x^2 - x - 1}$ in partial fractions

If p+1, 2p-10, 1-4p² are three consecutive terms of an arithmetic progression, find the possible values of p.

The sum of the first three terms of a geometric progression is half its sum to infinity. Find the positive common ration of the progression

A chord of a circle radius √3 cm subtends an angle of 60° on the circumference of the circle. Find the length of the chord.

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

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

A bag contains 16 red and 20 blue balls. How many white balls must be added to the bags so that the probability of randomly picking a red ball is equal to 2/5

A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain and maize, 2 sell yam and plantain only, while 3 sell the three items. How many women are in the group?

A trader bought 100 oranges at 5 for N12.00, 20 oranges got spoilt and the remaining were sold at 4 for 15.00, Find the percentage gain or loss.

Divide 2344₆ by 42₆

Three consecutive positive integers K, I and M are such that I² = 3(k+m). Find the value of m.

A and B are two sets. The number of elements in A ⋃ B is 49, the number in A is 22 and the umber in B is 34 How many elements are in A ⋂ B

Which of the following equations has its roots as 4 and -5

P varies inversely as the square of W. When W = 4, P = 9 Find the value of P when W = 9

The lengths of two parallel sides of a trapezium are 6cm and 10cm and the perpendicular distance between them is 5cm. Find the area of the trapezium.

Calculate the total surface area of a solid cone of slant height 15cm and base radius 8cm in terms of Π

The cross section of a prism is a right agled triangle 3cm by 3cm by 5cm. The height of the prism is 8cm, calculate its volume

Find the radius of a circle in which an arc of length 44cm subtends an angle of 200° at the centre of the circle. (Take π = 22/7)

Evaluate (0.13)² correct to three significant figures

Simplify 11011₂ - 1101₂

Simplify ${{x-4}/4} - {{x-3}/6}$

The temperature in a chemical plant was -5°c at 2:00 am. The temperature fell by 6°c and then rose again by 7°c. What was the final temperature

A ladder 16m long leans against an electric pole. If the ladder makes an angle of 65° with the groound, how far up the electric pole does its top reach