WAEC SSCE - General Mathematics - 1992 (Objective)

Evaluate \(\log_{10} 25 + \log_{10} 32 - \log_{10} 8\)

The area of a parallelogram is 513cm\(^2\) and the height is 19cm. Calculate the base.

In the diagram above, PQT is an isosceles triangle.|PQ| = |QT|, ?SRQ = 75°, ?QPT = 25° and PQR is straight line. Find ?RST

The data below shows the number of worker?
employed in the various sections of a construction
company in Lagos.

Carpenters 24 Labourers 27
Plumbers 12 Plasterers 15
Painters 9 Messengers 3
Bricklayers 18

The value of sin 210° is

Write as a single fraction \(\frac{1}{1 - x} + \frac{2}{1 + x}\)

Solve the equation \(\frac{m}{3} + \frac{1}{2} = \frac{3}{4} + \frac{m}{4}\)

In the diagram above, TR = TS and ?TRS = 60^o. Find the value of x

Construct a quadratic equation whose roots are \(-\frac{1}{2}\) and 2.

A ladder leans against a vertical wall at an angle
60° to the wall, if the foot of the ladder is 5 metres
away from the wall, calculate the length of the
ladder.

Let U = {1, 2, 3, 4}, P = {2, 3} and Q = {2, 4}. What is (P∩Q)'?

The angle of a sector of a circle of radius 8cm is 240°. This sector is bent to form a cone. Find the radius of the base of the cone.

The curved surface area of a cylindrical tin is 704cm\(^2\). Calculate the height when the radius is 8cm. [Take π = 22/7]

What must be added to the expression x\(^2\) - 18x to make it a perfect square?

Find the value of t in the diagram above

In the diagram above, O is the center of the circle PQRS and ?QPS = 36°. Find ?QOS

Factorize the expression 2y\(^2\) + xy - 3x\(^2\)

The value of tan 315°

If cos θ = 5/13, what is the value of tan \(\theta\) for 0 < θ < 90° ?

In the diagram above, O is the center of the circle and ?POR = 126°. Find ?PQR

In the diagram above, O is the center of the circle QOR is a diameter and ?PSR is 37°. Find ?PRQ

The volume of a cone of height 9cm is 1848cm\(^3\). Find its radius. [Take π = 22/7]

In the diagram above, ML//PQ and NP//QR, if ?LMN = 40° and ?MNP = 55°. Find ?QPR

The nth term of a sequence is given by 3.2\(^{n-2}\). Write down the first three terms of the sequence.

The data below shows the frequency distribution
of marks scored by a group of students in a class
test.

If x varies over the set of real numbers, which of the following is illustrated in the diagram above?

The data below shows the number of worker?
employed in the various sections of a construction
company in Lagos.

Carpenters 24 Labourers 27
Plumbers 12 Plasterers 15
Painters 9 Messengers 3
Bricklayers 18

Sin 60° has the same value as I. Sin 120° II. cos 240° III. -sin 150° IV. cos 210° V. sin 240°

A bricklayer measured the length of a wall and obtained 4.10m. If the actual length of the wall is 4.25m, find his percentage error.

The data below shows the frequency distribution
of marks scored by a group of students in a class
test.

The angles marked in the diagram above are measured in degrees. Find x

The diagram above shows the shaded segment of a circle of radius 7cm. if the area of the triangle OXY is 12\(\frac{1}{4}\)cm\(^2\), calculate the area of the segment
[Take ? = 22/7]

The table above shows the scores of 15 students in a Physics test.

How many students scored at least 5?

Simplify: \((\frac{16}{81})^{\frac{1}{4}}\)

The data above shows the frequency distribution
of marks scored by a group of students in a class
test.

In the diagram above PQT is a tangent to the circle QRS at Q. Angle QTR = 48° and ?QRT = 95°. Find ?QRT