WAEC SSCE - General Mathematics - 2001 (Objective)

In a bag of oranges, the ratio of the good ones to the bad ones is 5:4. If the number of bad oranges in the bag is 36, how many oranges are there in the altogether?

In the diagram, PQ is a diameter of the circle and ∠PRS = 58°. Find ∠STQ.

If \(\frac{y-3}{2}<\frac{2y-1}{3}\), which of the following is true?

Evaluate \((20_{three})^2 - (11_{three})^2\) in base three

The bearing S40°E is the same as

The graph of the curve \(y = 2x^2 - 5x - 1\) and a straight line PQ were drawn to solve the equation \(2x^2 - 5x + 2 = 0\)
What is the equation of the straight line PQ?

The diagram shows a triangular prism of length 7cm. The right - angled triangle PQR is a cross section of the prism |PR| = 5cm and |RQ| = 3cm. What is the area of the cross-section?

PQRS is a trapezium in which |PS| = 9cm, |QR| = 15cm, |PQ| = \(2\sqrt{3}, \angle PQR = 90^o and \angle QRS = 30^o\). Calculate the area of the trapezium

Three observation posts P,Q and R are such that Q is due east of P and R is due north of Q. If |PQ| = 5km and |PR| = 10km, find |QR|

What is the mode?

How many students are there in the group?

A box contains 5 red, 3 green and 4 blue balls. A boy is allowed to take away two balls from the box. What is the probability that one is green and the other is blue?

The number line represents

What is the length of \(\bar{RP}\)?

If \(y \propto \frac{1}{\sqrt{x}}\) and x = 16 when y = 2, find x when y = 24

Simplify \(\frac{2x-1}{3}-\frac{x+3}{2}\)

Evaluate \(\frac{1}{2}+\frac{3}{4}of\frac{2}{5}\div 1\frac{3}{5}\)

In a class of 80 students, every students studies Economics or Geography or both. If 65 students study Economics and 50 study Geography, how many study both subjects?

In the diagram, MN||PQ, |LM| = 3cm and |LP| = 4cm. If the area of ?LMN is 18cm², find the area of the quadrilateral MPQN

if \(\frac{4m+3n}{4m-3n}=\frac{5}{2}\), find the ratio m:n

The nth term of a sequence is \(2^{2n-1}\). Which term of the sequence is \(2^9?\)

Factorize \(6x^2 + 7x - 20\)

The variance of a given distribution is 25. What is the standard deviation?

A solid cylinder of radius 7cm is 10 cm long. Find its total surface area.

Which of the following is not the the size of an exterior angle of a regular polygon?

Evaluate \(\frac{x^2 + x - 2}{2x^2 + x -3}\) when x = -1

A sector of a circle radius 14 cm subtends an angle 135° at the center of the circle. What is the perimeter of the sector? Take \(\pi = \frac{22}{7}\)

Given that y = px + q and y = 5 when x = 3, while y = 4 when x = 2, find the value of p and q.

What is the range of their age?

Which of the following correctly expresses 48 as a product of prime factors?

Given that P = {b, d, e, f} and Q = {a, c, f, g} are subsets of the universal set U = {a,b, c, d, e, f, g}. Find P' ∩ Q

In the diagram, PQR is a triangle.|PQ| = |PR|, |PS| = |SQ| and PRS = 50°. What is the size of ∠PSQ?

Subtract (-y + 3x + 5z) from (4y - x - 2z)

Evaluate \(5\frac{2}{5}\times \left(\frac{2}{3}\right)^2\div\left(1\frac{1}{2}\right)^{-1}\)

A chord of length 30cm is 8cm away from the center of the circle. What is the radius of the circle. What is the perimeter of the sector? Take \(\pi =\frac{22}{7}\)

A box contains 5 red, 3 green and 4 blue balls. A boy is allowed to take away two balls from the box. What is the probability that the two balls are red?

PQRS is a rhombus of side 16cm. The diagonal |QS| = 20cm. Calculate, correct to the nearest degree, ?PQR

which of the following is not quadratic expression?

Express 25° 45' in decimal (Hint: 1° = 60')

The diagram shows a triangular prism of length 7cm. The right - angled triangle PQR is a cross section of the prism |PR| = 5cm and |RQ| = 3cm. What is the volume of the prism?