UI Mathematics 2014/2015 Past Questions

(1.28 x $10^4$') / (6.4 x $10^2$) equals

A man and wife went to buy an article costing N400. The woman had 10% of the cost and the man 40% of the remainder. How much did they have altogether?

Add the same number to the numerator and denominator of 3/18. If the resulting fraction is 1/2, then the number added is

After getting a rise of 15%, a man's new monthly salary is N345. How much per month did he earn before the increase?

Assuming log_e4.4 = 1.4816 and log_e 7.7 = 2.0142, then the value of log_e 1/4 is

Evaluate (2⁰ + 4^-1/2)²

Evaluate correct to 4 decimal places 827.51 x 0.015.

Express 130 kilometres per second in metres per hour.

Find the square root of 170 - 20√30

If (25)^x-1 = $64(5/2)^6$, then x has the value

If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2:5, in what ratio is the surface area reduced?

In base ten, the number 101101 (base 2) equals

Simplify ${5^{x}× 25^{x-1}}/{125^{x+1}}$

Simplify f^1/2g²h^1/3 / f^5/2g²h^7/3

Simplify $25/{12} - 17/8 × 6/5$

Solve the system of equations: 2^x+y = 32, 3^3y-x = 27

The annual profits of a transport business were divided between the two partners A and B in the ratio 3:5. If B receives N3,000 more than A, the total profit was:

The diameter of a metal rod is measured as 23.40cm to four significant figures. What is the maximum error in the measurement?

The ratio of the price of a loaf of bread to the price of a packet of sugar in 1975 was r:t, in 1980 the price of a loaf went up by 25% and that of a packet of sugar by 10%. Their new ratio is now

The sum of $77/8$ and $11/3$ is less than the difference between and 1 by

Two distinct sectors in the same circle subtend 100° and 30° respectively at the centre of the circle. Their corresponding arcs are in the ratio

What is $log_{7}(49)^{a} - log_{10}(0.01)$?

What is the number whose logarithm to base 10 is 3482?

When a dealer sells a bicycle for N81 he makes a profit of 8%. What did he pay for the bicycle?