UNIVERSITY OF LAGOS JUPEB MATHEMATICS 2014/2015

The mean of 12 numbers of 18. If each of the first 6 numbers is increased by 2 and each of the remaining numbers is also increased, by 4 obtain the new mean of the 12 numbers

Point A and B are respectively 20m north and 48m east of point C. Find the distance Also

Ten years ago, the sum of the ages of a mother and her daughter was seventy years. This year the mother is twice as old as her daughter. What will be’ the age of the daughter in ten years time?

There are five sectors on a pie chart of which three of them, are 25°, 45°, 90°, while the rest are equal ‘in size. If the smallest sector is allocated a budget of N28,000, how much is allocated to one of the equal sectors and the sectors with 45°.

If the original length of a rectangular lawn is doubled and its width increased by 4m, the perimeter of the law also increased from 22m to 48m, find the difference between the original area and the new area of the law

Three sacks of grains can feed 27 chickens for 32 days. What is the minimum number of days for 40 chickens to feed on five sacks of grains?

Find the sum of the first S terms of the arithmetic sequenced 4, 7,10,13.

Solve for log 2x + log2 (x +2) = 3

When a dealer sells a bicycle for N2,500 he makes a profit of 15%. How much did he pay
for the bicycle in nearest tens of Naira?

Find the median of the set of numbers 11,9,9,10,7,14,10,12

The quantity R is partly constant and partly varies inversely as the square of t. Given that
when t =1, R=S and when t-3, R=2, Find R when t=2

If the function f (x) = x3 + 2 x2 + kx – 6 is 1 divisible by x+1, find the value k.

The sum of the first 12 terms of an arithmetic progression is 135 while the sum of the next 8 terms is 210, find common difference.

If the mean of five consecutive odd integers is 35, find the largest of numbers

A chord MN subtends an angle of 1200 at 0, the centre of a circle with radius 12cm. Find the area of triangle MON.

Solve the equation for the value of x if log16 (x + 1) =Log42

The chances of Uche and Chukwudi passing mathematics are 40% and 75% respectively.
What is the probability that only one of them will past mathematics?

1f 6a2/x +2b2/y = 62/y, find a if X =3, Y=-5 and b=-7

Fifteen boys and x girls took an entrance examination. The mean of the boys = score and that of the girls were respectively 16 and 18. If the total score of all the candidates were 474, then the value of x is

A man 21 m from the foot of a tower observe: the angle of elevation of the tower to be 300. Determine the height of the tower

Solve for x if 3x = 9

Three boys shared some oranges. The first, received 113 of, the oranges. The second
received 3/2 of the remainder. The third boy received the remaining 12 oranges, how many oranges did they share?

Solve 3 (2-x) = 14 + 5x

A man spent 1110 of his monthly salary on rent 5/6 of the remainder household needs. If Nl,800,00 is left, how much is his monthly salary?

A car painter charges N40 per day for himself and E4 1 0 per day for hill assistant, if a fleet of cars were painted for N2,000 and the painted .worked 10 days more than his assistant; how much did the assistant receive?

Given the progression 27, 9,3,… ….. … , 18. The 5th term

What will be the value of N850 compounded at 15% for 4 years?

What principal amount accrues to N8500 if it is compounded at 14.5% over 6 years? Find the value of the original amount

Given the sequence 5, 1, -3, -7 Find a formula for the nth term

If log9x = 1.5; find x?

If g (x) = x2 +3x +4, find g(x + l) – g (x)

Solve the inequality of 5x + 7 < 6 (X + 3)

Find, the distance along the parallel of’ latitude between the given pair of points on the surface of the Earth, P (400N, 20ft W) and Q (400N, 100E). Take 0=3.142 and radius of the Earth, R=6,400km

Find the probability that a bead will appear when two coins are toosed

The prime factors of 2580 are

The chances of three independent of three independent events X, Y, Z occurring 1/4, 2/5, 1/3 respectively. What are the chances of X and Y only occurring.

Find the mean deviation of 6, 5, 9, 10

Solve the simultaneous-linear equations y = 3x, Y = x + 1

Akin deposited N5,000 in the bank at the rate of 10% simple interest. After some time, the total amount was two and the half times the principal. For how many years was money left in the Bank?

The variance of the scores 1, 2, 3, 4, 5 is