WAEC SSCE - General Mathematics - 1993 (Objective)

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 ?

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,

How many student took the examination

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

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]

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

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

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

How many students scored less than 7 marks?

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

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

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

What is the mean of the distribution?

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

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

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

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

Solve the inequality: 3m + 3 > 9

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

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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]

What is A?B in the diagram above?

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

Find the probability of obtaining 2.