OAU Post UTME Mathematics Past Questions

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A cyclist rode for 30 minutes at x km/h. After a breakdown, he pushed the bike for 2 hours at (x − 5) km/h. If the total distance covered is less than 60 km, what is the full range of possible values of x?

If \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\), then \(y\) is

Let \(\log y+\log x^3=3\). Then \(y\) is

A cylinder has height 4cm and base radius 5cm. Its volume to 3 significant figures is

A cone has base radius 4cm and height 3cm. The area of its curved surface is

Factorize \(16(3x+2y)^2-25\left(a+2b\right)^2\)

The expression \(a^3+b^3\) is equal to

If \(3^{2y}-6\left(3^y\right)-27=0\), find \(y\).

If \(x=1\) is a root of the equation \(x^3-2x^2-5x+6=0\), find the other roots

Given a regular hexagon, calculate each interior angle of the hexagon.

If \(\mathit{pq}+1=q^2\) and \(t=\frac 1 p-\frac 1{\mathit{pq}}\) express t in terms of q

Find the positive number n such that thrice its square is equal to twelve times the number

If P varies inversely as V and V varies directly as \(R^{2}\), find the relationship between P and Rgiven that R = 7 when P = 2

Find the probability of selecting a figure which is a parallelogram from a square, a rectangle, a rhombus, a kite and a trapezium

A man kept 6 black, 5 brown and 7 purple shirts in a drawer. What is probability of him picking a purple shirt with his eyes closed?

Find the probability that a number selected at random from 40 to 50 is a prime

In 1984, Tolu was 24 years old and is father 45 years. In what year was Tolu exactly half his father's age?

Two fair dice are rolled. What is the probability that both show up the same number of point?

If the length of the sides of a right-angled triangle are \(\left(3x+1\right)\text{ cm},\left(3x-1\right)\text{ cm}\) and \(x\text{ cm},\) what is \(\textit{x}\)?

What is the product of \(\frac{27}{5} \div \left(3\right)^3\) and \(\left(\frac 1 5\right)\)?

2 3 4 5 6

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