WAEC SSCE - General Mathematics - 1993 (Objective)

Factorize the expression 2s\(^2\) - 3st - 2t\(^2\).

How many student took the examination

Simplify: \(\frac{4^{-\frac{1}{2}} \times 16^{\frac{3}{4}}}{4^{\frac{1}{2}}}\)

Simplify: \(\frac{\log \sqrt{27}}{\log \sqrt{81}}\)

Solve the equation x\(^2\) - 2x - 3 = 0

A cone is 14cm deep and the base radius is 41/2cm. Calculate the volume of water that is exactly half the volume of the cone.[Take π = 22/7]

A die is rolled 200 times the outcomes obtained are shown in the table below.

Find the probability of obtaining 2.

The table above shows the scores of a group of 40 students in a physics test

What is the mean of the distribution?

At a point 500m from the base of a water tank the angle of elevation of the top of the tank is 45o. Find the height of the tank,

In the diagram above, |QR| = 12cm and |QS| = 10cm. If ?PQR = 90°, ?RSQ = 90° and PSQ is a straight line, find |PS|

The area and a diagonal of a rhombus are 60 cm\(^2\) and 12 cm respectively. Calculate the length of the other diagonal.

Find the median of the set of numbers 12, 15, 13, 14, 12, 12.

Solve the simultaneous equations y = 3x; 4y - 5x =14

The sum of an interior angles of a regular polygon is 30 right angles. How many sides has the polygon?

How many students scored less than 7 marks?

The table above shows the scores of a group of 40 students in a physics test.

If the mode is m and the median is n, then (m,n) is

S = {1, 2, 3, 4, 5, 6}, T = {2,4,5,7} and R = {1,4, 5}, and (S∩T) ∪ R

A die rolled 200 times. The outcome obtained are shown in the table above.

What is the probability of obtaining a number less than 3 ?

In the diagram above, |PQ| = |QR|, |PS| = |RS|, ?PSR = 30^o and ?PQR = 80^o. Find ?SPQ.

The angle of elevation of the top of a tower from a point on the horizontal ground, 40m away from the foot of the tower is 30o. Find the height of the tower.

What is the probability that an integer selected from the set of integers (20, 21, ...., 30) is a prime number?

A fair die is rolled once. What is the probability of obtaining a number less than 3?

Write as a single fraction: \(\frac{5}{6r} - \frac{3}{4r}\)

What is the probability that the total sum of seven would appear in toss of a fair die?

The distribution by state of 840 students in the Faculty of Science of a Nigerian University in a certain session is as follows:

In a pie chart drawn to represent this distribution, the angle subtended by Ondo is

If sin x = 12/13, where 0° < x < 90°, find the value of 1 - cos\(^2\)x

Convert 89\(_{10}\) to a number in base two.

The nth term of a sequence is given by (-1)\(^{n-2}\) x 2\(^{n+1}\). Find the sum of the second and third terms.

What is A?B in the diagram above?

In the diagram, PQR is a tangent to the circle QST at Q. If |QT| = |ST| and ?SQR = 68°, find ?PQT.

Factorize 2x\(^2\) - 21x + 45

State the fifth and seventh terms of the sequence \(-2, -3, -4\frac{1}{2}, ...\)

Simplify \(\frac{2.25}{0.015}\) leaving your answer in standard form

Given that tan x = 5/12, what is the value of sin x + cos x ?

The angle of a sector of a circle radius 10.5cm is 120°. Find the perimeter of the sector [Take π = 22/7]

A sector of a circle of radius 9cm subtends angle 120° at the centre of the circle. Find the area of the sector to the nearest cm\(^2\) [Take π = 22/7]

What is the probability of having an even number in a single toss of a fair die?

Find the median of the following set of numbers: 28, 29, 39, 38, 33, 37, 26, 20, 15, 25

Solve the inequality: 3m + 3 > 9

In the diagram above, QRS is a straight line, QP//RT, PRQ = 56°, ?QPR =84° and ?TRS = x°. Find x

Simplify: \(\frac{3}{4} \div 1\frac{1}{4} \times (1\frac{1}{2} - \frac{2}{3})\)