WAEC SSCE - General Mathematics - 1989 (Objective)

If logax = p, express x in terms of a and p

Points X and Y are respectively 20km North and 9km East of a point O. What is the bearing of Y from X? Correct to the nearest degree

In an A.P the first term is 2, and the sum of the 1st and the 6th term is 161/2. What is the 4th term

The venn diagram below shows the number of students who studied Physics, Chemistry, and Mathematics in a certain school. How many students took at least two of the three subjects?

Evaluate \(\frac{0.009}{0.012}\), leaving your answer in standard form.

For a class of 30 students, the scores in a Mathematics test out of 10 marks were as follows;

4,5,7,2,3,6,5,5,8,9,5,4,2,3,7,9,8,7,7,7,3,4,5,5,2,3,6,7,7,2

In the diagram O is the center of the circle, if ?QRS = 62o, find the value of ?SQR.

In the diagram, O is the center of the circle, If ?POQ = 80^o and ?PRQ = 5x, find the value of x.

For a class of 30 students, the scores in a Mathematics test out of 10 marks were as follows;

4,5,7,2,3,6,5,5,8,9,5,4,2,3,7,9,8,7,7,7,3,4,5,5,2,3,6,7,7,2

Solve the following equation: 6x\(^2\) - 7x - 5 = 0

An arc of a circle radius 7cm is 14cm long. What angle does the arc subtend at the center of circle?
[Take π = 22/7]

What angle represents grown up girls ? Correct to one decimal place

If 3\(^y\) = 243, find the value of y.

The table above gives the scores of a group of students in an English Language test

Using the above graph, if 10^o < x < 60^o, what is the value of x for which sin x = cos x?

In the diagram above ABDE and FCDE are parallelograms. If |FC| = 12.2cm and the height |PC| = 4.0cm, calculate the area of the parallelogram ABDE.

Evaluate, using logarithm tables \(\frac{5.34 \times 67.4}{2.7}\)

In the diagram above, TPS is a straight line, PQRS is a parallelogram with base QR and height 8cm. |QR| = 6cm and the area of triangle QST is 52cm2. Find the area of ?QPT

If A = {a,b,c}, B = {a,b,c,d,e} and C = {a,b,c,d,e,f}. Find (A∪B)∩(A∪C)

The graph above is that of a quadratic function y = 2x² - x - 6
The roots of the equation are

In the diagram above O is the center of the circle, if ∠PAQ = 75o, what is the value of ∠PBQ?

With reference to the graph above, which f the following solution sets is represented by ΔOPQ?

In the diagram above, what is the size of angle ACB?

In the diagram above, O is the center of the circle. If ?POR = 114^o, calculate ?PQR

What is the probability that 3 customers waiting in a bank will be served in the sequence of their arrival at the bank

For a class of 30 students, the scores in a Mathematics test out of 10 marks were as follows;

4,5,7,2,3,6,5,5,8,9,5,4,2,3,7,9,8,7,7,7,3,4,5,5,2,3,6,7,7,2

In the diagram above, O is the center of the circle QRT and PT is a tangent to the circle at T. Calculate the angle x

Simplify \(\frac{9^{-\frac{1}{2}}}{27^{\frac{2}{3}}}\)

A sector is cut off from a circle radius 8.2cm to form a cone, if the radius of the resulting cone is 3.5cm, calculate the curved surface area of the cone. [take π = 22/7]

In the diagram above, ?SPR = P and ?SQR = 2x. Find x in terms of P

If twice a certain integer is subtracted from 5 times the integer, the result is 63. Find the integer.

What percentage of the population are married? correct to one decimal place

Which of the following gives the point of intersection of the graph y = x² and y = x + 6 shown above?

In the diagram above, O is the center of the circle. Calculate the length of the chord AB if |OA| = 5cm, |OD| = 3cm and ?AOD = ?BOD