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 \(-2, -3, -4\frac{1}{2}, ...\)

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

Find the probability of obtaining 2.

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

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

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.

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

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

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

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

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

What is the mean of the distribution?

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

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

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

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]

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

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

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

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

What is A?B in the diagram above?

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

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

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

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

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

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

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

How many student took the examination

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

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

How many students scored less than 7 marks?

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,

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

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 ?

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

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

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

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

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]