WAEC SSCE - General Mathematics - 2001 (Objective)

Which of the following correctly expresses 48 as a product of prime factors?

Evaluate \(\frac{x^2 + x - 2}{2x^2 + x -3}\) when x = -1

PQRS is a rhombus of side 16cm. The diagonal |QS| = 20cm. Calculate, correct to the nearest degree, ?PQR

Express 25° 45' in decimal (Hint: 1° = 60')

If \(\frac{y-3}{2}<\frac{2y-1}{3}\), which of the following is true?

A chord of length 30cm is 8cm away from the center of the circle. What is the radius of the circle. What is the perimeter of the sector? Take \(\pi =\frac{22}{7}\)

PQRS is a trapezium in which |PS| = 9cm, |QR| = 15cm, |PQ| = \(2\sqrt{3}, \angle PQR = 90^o and \angle QRS = 30^o\). Calculate the area of the trapezium

How many students are there in the group?

if \(\frac{4m+3n}{4m-3n}=\frac{5}{2}\), find the ratio m:n

Evaluate \(\frac{1}{2}+\frac{3}{4}of\frac{2}{5}\div 1\frac{3}{5}\)

In a class of 80 students, every students studies Economics or Geography or both. If 65 students study Economics and 50 study Geography, how many study both subjects?

In the diagram, MN||PQ, |LM| = 3cm and |LP| = 4cm. If the area of ?LMN is 18cm², find the area of the quadrilateral MPQN

What is the length of \(\bar{RP}\)?

If \(y \propto \frac{1}{\sqrt{x}}\) and x = 16 when y = 2, find x when y = 24

The diagram shows a triangular prism of length 7cm. The right - angled triangle PQR is a cross section of the prism |PR| = 5cm and |RQ| = 3cm. What is the volume of the prism?

The bearing S40°E is the same as

Factorize \(6x^2 + 7x - 20\)

In the diagram, PQR is a triangle.|PQ| = |PR|, |PS| = |SQ| and PRS = 50°. What is the size of ∠PSQ?

A sector of a circle radius 14 cm subtends an angle 135° at the center of the circle. What is the perimeter of the sector? Take \(\pi = \frac{22}{7}\)

Which of the following is not the the size of an exterior angle of a regular polygon?

In a bag of oranges, the ratio of the good ones to the bad ones is 5:4. If the number of bad oranges in the bag is 36, how many oranges are there in the altogether?

What is the mode?

The number line represents

Evaluate \((20_{three})^2 - (11_{three})^2\) in base three

A box contains 5 red, 3 green and 4 blue balls. A boy is allowed to take away two balls from the box. What is the probability that the two balls are red?

The graph of the curve \(y = 2x^2 - 5x - 1\) and a straight line PQ were drawn to solve the equation \(2x^2 - 5x + 2 = 0\)
What is the equation of the straight line PQ?

The nth term of a sequence is \(2^{2n-1}\). Which term of the sequence is \(2^9?\)

Evaluate \(5\frac{2}{5}\times \left(\frac{2}{3}\right)^2\div\left(1\frac{1}{2}\right)^{-1}\)

Three observation posts P,Q and R are such that Q is due east of P and R is due north of Q. If |PQ| = 5km and |PR| = 10km, find |QR|

Simplify \(\frac{2x-1}{3}-\frac{x+3}{2}\)

In the diagram, PQ is a diameter of the circle and ∠PRS = 58°. Find ∠STQ.

Given that y = px + q and y = 5 when x = 3, while y = 4 when x = 2, find the value of p and q.

A solid cylinder of radius 7cm is 10 cm long. Find its total surface area.

The diagram shows a triangular prism of length 7cm. The right - angled triangle PQR is a cross section of the prism |PR| = 5cm and |RQ| = 3cm. What is the area of the cross-section?

Given that P = {b, d, e, f} and Q = {a, c, f, g} are subsets of the universal set U = {a,b, c, d, e, f, g}. Find P' ∩ Q

What is the range of their age?

Subtract (-y + 3x + 5z) from (4y - x - 2z)

which of the following is not quadratic expression?

The variance of a given distribution is 25. What is the standard deviation?

A box contains 5 red, 3 green and 4 blue balls. A boy is allowed to take away two balls from the box. What is the probability that one is green and the other is blue?