WAEC SSCE - General Mathematics - 1990 (Objective)

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

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

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

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]

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

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

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

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

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?

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

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

Express 0.00562 in standard form

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

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

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]

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

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

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?

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.

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

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

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

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

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

Find the values of x for which y = 5

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

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

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?

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

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

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

Which angle is equal to ?VWZ?

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

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

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

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?

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

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?

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