WAEC SSCE - General Mathematics - 1990 (Objective)

Two groups of male students cast their vote on a particular proposal. The results are as follows:

If a student is chosen at random, what is probability that he is against the proposal?

If 3\(^{2x}\) = 27, what is x?

Solve the equation 7y\(^2\) = 3y

Which angle is equal to ?VWZ?

Simplify 125\(^{\frac{-1}{3}}\) x 49\(^{\frac{-1}{2}}\) x 10\(^0\)

In the diagram above, |PQ| = |PR| = |RS| and ?RPS = 32°. Find the value of ?QPR

Two groups of male students cast their votes on a particular proposal. The result are as follows:

If a student in favor of the proposal is selected for a post, what is the probability that he is from group A?

Solve the equation 2a\(^2\) - 3a - 27 = 0

Find the values of x for which y = 5

The table shows that the amount of money (in naira)collected through voluntary donations in a secondary school.

Find the sum of the first five terms of the G.P 2,6, 18 ....

If log x = \(\bar{2}.3675\) and log y = 0.9750, what is the value of x + y? Correct to three significant figures

The annual salary of Mr. Johnson Mohammed for 1989 was N12,000.00. He spent this on agriculture projects, education of his children, food items, saving , maintenance and miscellaneous items as shown in the pie chart

How much did he spend on food items?

Which triangle is equal in area to ?VWZ

In the diagram below, O is the center of the circle if ?QOR = 290^o, find the size ?QPR

Simplify \(\frac{\log \sqrt{8}}{\log 8}\)

From the graph determine the roots of the equation y = 2x² + x - 6

Express 0.00562 in standard form

The bearing of a point X from a point Y is 074°. What is the bearing of Y from X?

Factorize x\(^2\) + 4x - 192

In the diagram above PS||RQ, |RQ| = 6.4cm and perpendicular PH = 3.2cm. Find the area of SQR

The table shows that the amount of money (in naira)collected through voluntary donations in a secondary school. What is the mode?

Let J be the set of positive integers, If H = {x: x∈J, x\(^2\) < 3 and x ≠ 0}, then

Find the value of m which makes x\(^2\) + 8 + m a perfect square

In the diagram above, PQRS s a cyclic quadrilateral, ?PSR = 86^o and ?QPR = 38^o. Calculate PRQ

calculate the surface area of a sphere of radius 7cm [Take π = 22/7]

Factorize 2e\(^2\) - 3e + 1

the area shaded with vertical lines is the solution set of the inequalities;

The area shaded with horizontal lines is the solution set of the inequalities;

Find the 4th term of an A.P, whose first term is 2 and the common difference is 0.5

If the radius of the parallel of latitude 30°N is equal to the radius of the parallel of latitude θ°S, what is the value of θ?

In the diagram above, WXYZ is a rhombus and ?WYX = 20°. What is the value of ?XZY

Use mathematical table to evaluate (cos40° - sin30°)

A cylindrical container closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
Find the total surface area of the container

In the diagram above, PQ is a tangent at T to the circle ABT. ABC is a straight line and TC bisects ?BTO. Find x.

A cylindrical container closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]. What is the volume of the container?

An arc of length 22cm subtends an angle of θ at the center of the circle. What is the value of θ if the radius of the circle is 15cm?[Take π = 22/7]

In the diagram above, O is the center of the circle with radius 10cm, and ?ABC = 30°. Calculate, correct to 1 decimal place, the length of arc AC [Take ? = 22/7]

Which of the sketches above gives a correct method for constructed an angle of 120^o at the point P?

The annual salary of Mr. Johnson Mohammed for 1989 was N12,000.00. He spent this on agriculture projects, education of his children, food items, saving , maintenance and miscellaneous items as shown in the pie chart

How much money did he invest in agriculture?