WAEC SSCE - General Mathematics - 2001 (Objective)

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?

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

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

What is the mode?

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

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

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?

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

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

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

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

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 \(\pi = \frac{22}{7}\)

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

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 \(\pi =\frac{22}{7}\)

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?

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

The bearing S40°E is the same as

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?

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

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

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

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|

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

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

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

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?

The number line represents

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?

which of the following is not quadratic expression?

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

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

What is the range of their age?

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

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

How many students are there in the group?

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?

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

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

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