WAEC SSCE - General Mathematics - 1993 (Objective)

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

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

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

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]

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

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

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

What is the mean of the distribution?

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

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

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

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

How many student took the examination

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

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.

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?

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

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

What is A?B in the diagram above?

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

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

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

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]

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

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

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

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

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 ?

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

Solve the inequality: 3m + 3 > 9

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

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.

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

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

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

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

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

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

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

Find the probability of obtaining 2.

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

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,