WAEC SSCE - General Mathematics - 1995 (Objective)

Find (101\(_2\))\(^2\), expressing the answer in base 2.

The diagram above shows a cone with the dimensions of its frustrum indicated. Calculate the height of the cone.

The bearing of two points Q and R from a point P are 030° and 120° respectively, lf /PQ/ = 12 m and /PR/ = 5 m, find the distance QR.

A water tank of height \(\frac{1}{2}\) m has a square base of side \(1\frac{1}{2}\) m. lf it is filled with water from a water tanker holding 1500 litres, how many litres of water are left in the water tanker? [1000 litres = 1m\(^3\)]

The mean of 20 observations in an experiment is 4, lf the observed largest value is 23, find the mean of the remaining observations.

Find the median of the following numbers 2.64, 2.50, 2.72, 2.91 and 2.35.

Solve the inequality: \(\frac{1}{3}(2x - 1) < 5\)

If log\(_{10}\) x = \(\bar{2}.3675\) and log\(_{10}\) y = \(\bar{2}.9738\), what is the value of x + y, correct lo three significant figures?

The angle of a sector of a circle is 108°. If the radius of the circle is 31/2cm, find the perimeter of the sector

In ?ABC above, BC is produced to D, /AB/ = /AC/ and ?BAC = 50^o. Find ?ACD

What is the smaller value of x for which x\(^2\) - 3x + 2= 0?

A hollow sphere has a volume of kcm3 and a surface area of kcm2. Calculate the diameter of the sphere.

If R = [2, 4, 6, 7] and S = [1, 2, 4, 8], then R∪S equal

Use the graph of y = 3x\(^2\) + x - 7 above to answer the question

What is the minimum value of y?

A 120° sector of a circle of radius 21cm is bent to form a cone. What is the base radius of the cone?

What is the mode of the numbers 8, 10, 9, 9, 10, 8, 11, 8, 10, 9, 8 and 14?

Factorize the expression x(a - c) + y(c - a)

Solve the equation 3x\(^2\) + 25x -18 = 0

Which of the following angles is an exterior angle of a regular polygon?

Find the total surface area of solid circular cone with base radius 3cm and slant height 4cm. [Take π = 22/7]

By selling some crates of soft drinks for N600.00, a dealer makes a profit of 50%. How much did the dealer pay for the drinks?

In the diagram above, the value of angles b + c is

In the diagram above. |AB| = 12cm, |AE| = 8cm, |DCl = 9cm and AB||DC. Calculate |EC|

In the diagram above, AO is perpendicular to OB. Find x

Solve the equation (x +2)(x - 7) = 0

Find the value(s) of x for which the expression is undefined: \(\frac{6x - 1}{x^2 + 4x - 5}\)

In the diagram above, PQ is parallel to TU, ?PQR = 50°, ?QRS = 86° and ?STU = 64°. Calculate the value of x.

In the diagram above, AB//CD, the bisector of ?BAC and ?ACD meet at E. Find the value of ?AEC

Without using tables, find the value of \(\frac{\sin 20°}{\cos 70°} + \frac{\cos 25°}{\sin 65°}\)

In the diagram above; O is the centre of the circle and |BD| = |DC|. If ?DCB = 35°, find ?BAO.

In the diagram above, AB//CD. What is the size of the angle marked x?

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

The positions of two countries P and Q are (15°N, 12°E) and (65°N, 12°E) respectively. What is the difference in latitude?

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?

In the diagram above, ?PRQ = 90°, ?QPR = 30° and /PQ/ = 10 cm. Find y.

The diagonals AC and BD of a rhombus ABCD are 16cm and 12cm long respectively. Calculate the area of the rhombus.

Solve the following simultaneous equations: x+ y = 3/2; x - y = 5/2 and use your result to find the value of 2y + x

If \(y \propto \frac{1}{x^2}\) and x = 3 when y = 4, find y when x = 2.

Which of the following could be the inequality illustrated in the sketch graph above?

Use the graph of y = 3x\(^2\) + x - 7 above to answer the question

Find the roots of the equation y=3x\(^2\) + x - 7