WAEC SSCE - General Mathematics - 1992 (Objective)

The value of tan 315°

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

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

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

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

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

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

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

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

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

Find the value of t in the diagram above

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.

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

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

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

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

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

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

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

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

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

How many students scored at least 5?

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

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

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

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

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.

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

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

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.

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

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

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

The value of sin 210° is

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

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