WAEC SSCE - General Mathematics - 1999 (Objective)

The height and base of a triangle are in ratio 1:3 respectively. If the area of the triangle is 216 cm\(^2\), find the length of the base.

In the diagram, O is the centre of the circle ?PQR = 75^o, ?OPS = y^o and \(\bar{OR}\) is parallel to \(\bar{PS}\). Find y

The diagram shows the position of three ships A, B and C at sea. B is due north of C such that |AB| = |BC| and the bearing of B from A = 040°. What is the bearing of A from C

If \(x^2 +15x + 50 = ax^2 + bx + c = 0\). Which of the following statement is not true?

Describe the locus L shown in the diagram below

A group of 11 people can speak either English or French or Both. Seven can speak English and six can speak French. What is the probability that a person chosen at random can speak both English and French?

If \(K\sqrt{28}+\sqrt{63}-\sqrt{7}=0\), find K.

In the diagram, PQST and QRST are parallelograms. Calculate the area of the trapezium PRST.

The interior angle of a regular polygon is twice the exterior angle. How many sides has the polygon?

Water flows from a tap into cylindrical container at the rate 5πcm\(^3\) per second. If the radius of the container is 3cm, calculate the level of water in the container at the end of 9 seconds.

A car travel at x km per hour for 1 hour and at y km per hour for 2 hours. Find its average speed

From the top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff

Simplify \(\frac{4}{x+1}-\frac{3}{x-1}\)

If \(y = \sqrt{ax-b}\) express x in terms of y, a and b

Which of the following figures have one line of symmetry only? I. Isosceles triangle II. Rhombus III. Kite

Which of the following pairs of inequalities is represented on the number line?

In the diagram above, RST is a tangent to circle VSU center O ∠SVU = 50° and UV is a diameter. Calculate ∠RSV.

From the diagram above. ABC is a triangle inscribed in a circle center O. ?ACB = 40^o and |AB| = x cm. calculate the radius of the circle.

The side of a rhombus is 10cm long, correct to the nearest whole number. Between what limits should the perimeter P lie?

The root of a quadratic equation in x, are -m and 2n. Find the equation

The height of a pyramid on square base is 15cm. If the volume is 80cm\(^3\), find the length of the side of the base

In the diagram, DE||BC, |AD| = x cm and |DB| = |AE| = ycm. Find |CE| in terms of x and y

If \(tan x = \frac{1}{\sqrt{3}}\), find cos x - sin x such that \(0^o \leq x \leq 90^o\)

In the diagram above, |XR| = |RY| = |YZ| and ∠XRY = ∠YRZ = 62o, Calculate ∠XYZ

The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below
Find the value of K

In the diagram, POR is a circle with center O. ∠QPR = 50°, ∠PQO = 30° and ∠ORP = m. Find m.

Calculate the value of Y in the diagram

Given that \(81\times 2^{2n-2} = K, find \sqrt{K}\)

Which of the following statements is true from the diagram above?

Two numbers 24\(_{x}\) and 31\(_y\) are equal in value when converted to base ten. Find the equation connecting x and y

In the diagram, CDE is a triangle, ABEF is cyclic quadrilateral, AB||CD, ?BAF = 65^o and ?AFE = 85^o calculate ?CDE

If y varies inversely as x\(^2\), how does x vary with y?

Simplify \(\frac{2-18m^2}{1+3m}\)

Simplify log\(_7\) 8 - log\(_7\) 2 + log\(_7\) 4.

The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below

If he sends \(2\frac{1}{2}\) hours week on science, find the total number of hours he studies in a week

A survey shows that 28% of all the men in a village wear size 9 shoes. What is the probability that a man selected at random in the village wears size 9 shoes?

From a set \(A = [3, \sqrt{2}, 2\sqrt{3}, \sqrt{9}, \sqrt{7}]\), a number is selected at random. Find the probability that is a rational number

Amina had m mangoes. She ate 3 and shared the remainder equally with her brother Uche. Each had at least 10. Which of the following inequalities represents the statements above.