2014 Mathematics WAEC Objective Past Questions

Simplify \(\scriptsize 10\frac{2}{5}\:  –  \: 6 \frac{2}{3} \: + \: 3\)

If 23_x = 32₅, find the value of x

The volume of a cube is 512 cm³. Find the length of its side.

The bar chart shows the scores of some students in a test. How many students took the test?

The bar chart shows the scores of some students in a test. If one student is selected at random, find the probability that he/she scored at most 2 marks

Simplify: \(\scriptsize\sqrt{12} ( \sqrt{48}\:  – \:  \sqrt{3})\)

Which of the following number lines represents the solution to the inequality:

\( \scriptsize -9 \leq \normalsize \frac{2}{3} \scriptsize x \: – \: 7 < 5 \)

In the diagram, the value of x° + y° = 220°. Find the value of n°.

Given that x > y and 3 < y, which of the following is/are true?

I. y > 3

II. x < 3

III. x > y > 3

Three-quarters of a number added to two and a half of the number gives 13. Find the number.

If X = {0, 2, 4, 6}, Y = {1, 2, 3, 4} and Z = {1, 3} are subsets of U = {x:0 ≥ x ≥ 6}, find x ∩ (Y′ ∪ Z).

Find the truth set of the equation x² = 3(2x + 9)

The coordinates of points P and Q are (4, 3) and (2, -1) respectively. Find the shortest distance between P and Q.

Make u the subject of formula, E = \( \frac{m}{2g} \scriptsize (v^2 \: – \: u^2) \)

In the diagram ∠QPT = ∠PTS = 90º, ∠PQR = 110 and ∠TSR = 20º. Find the size of the obtuse angle QRS.

If x varies inversely as y and y varies directly as z, what is the relationship between x and z?

Find the gradient of the line joining the points (2, -3) and (2, 5)

If (x – a) is a factor of bx – ax + x², find the other factor.

In the diagram, PQR is a straight line, (m + n) = 120º and (n + r) = 100º. Find (m + r)

In the diagram, SR is parallel to UW, ∠WVT = xº, ∠VUT = yº, ∠RSV = 45º and ∠VTU = 20º.

Find the value of xº.

In the diagram, SR is parallel to UW, ∠WVT = xº, ∠VUT = yº, ∠RSV = 45º and ∠VTU = 20º.

Calculate the value of yº.

\(\scriptsize\begin{array}{c|c}height & 2 & 3 & 4 & 5 & 6 \\ \hline frequency & 2 & 4 & 5 & 3 & 1
\end{array}\)

The table shows the distribution of the height of plants in a nursery. Calculate the mean height of the plants.

The area of a sector a circle with diameter 12 cm is 66 cm². If the sector is folded to form a cone, calculate the radius of the base of the cone.

\( \left[\scriptsize Take \: \pi = \normalsize \frac{22}{7}\right]\)

A chord, 7 cm long, is drawn in a circle with radius 3.7 cm. Calculate the distance of the chord from the centre of the circle

Which of the following is a measure of dispersion?

A box contains 13 currency notes, all of which are either ₦50 or ₦20 notes. The total value of the currency notes is ₦530. How many ₦50 notes are in the box?

The graph given is for the relation y = 2x² + x – 1. What are the coordinates of the point S?

The graph given is for the relation y = 2x² + x – 1. Find the minimum value of y

A ship sails x km due east to a point E and continues x km due north to F. Find the bearing of F from the starting point.

If x : y = 3 : 2 and y : z = 5 : 4, find the value of x in the ratio x : y : z

A trade bought sachet water for GH ₵ 55.00 per dozen and sold them at 10 for GH ₵ 50.00. calculate, correct to 2 decimal places, his percentage gain.

In the figure, PQ is a tangent to the circle at R and UT is parallel to PQ. If ∠TRQ = xº, find ∠URT in terms of x.

Given that cos x = \( \frac{12}{13} \)

Evaluate \( \frac{1 \: – \: tan\:x}{tan\:x} \)

Approximate 0.0033780 to 3 significant figures

Simplify \(\sqrt{\frac{8^2 \times 4^{(n + 1)}}{2^{2n} \times 16}}\)

If

\(\frac{2}{x – 3} – \frac{3}{x – 2}\)

is equal to

\(\frac{p}{(x – 3)(x – 2)}\)

Find p 

Subtract ½(a – b – c) from the sum of ½(a – b + c) and ½(a + b – c)

A man’s eye level is 1.7 m above the horizontal ground and 13 m from a vertical pole. If the pole is 8.3 m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes.

A chord subtends an angle of 120º at the centre of a circle of radius 3.5 cm. Find the perimeter of the minor sector containing the chord.

\( \left[\scriptsize Take \: \pi = \normalsize \frac{22}{7}\right]\)

In parallelogram PQRS, \( \scriptsize \overline{QR} \) is produced to M such that |QR| = |RM|. What fraction of the area of PQMS is the area of PRMS?

Determine the value of m in the diagram.

In a cumulative frequency graph, the lower quartile is 18 years while the 60th percentile is 48 years. What percentage of the distribution is at most 18 years or greater than 48 years?

If a number is selected at random from each of the sets P = {1, 2, 3} and Q = {2, 3, 5}, find the probability that the sum of the numbers is prime.

In the diagram, O is the centre of the circle, \( \scriptsize \overline{PR}\) is a tangent to the circle at Q ∠SOQ = 86°. Calculate the value of ∠SQR.

If log 5.957 = 0.7750, find \( \scriptsize \log \sqrt[3]{0.0005957} \)

The probability of an event P happening is ¹/₅, and that of event Q is ¹/₄. If the events are independent, what is the probability that neither of them happens?

Each exterior angle of a polygon is 30°. Calculate the sum of the interior angles.

Find the number of terms in the Arithmetic Progression (A.P.)

2, –9, –20, ….., –141.

In what modulus is it true that 9 + 8 = 5?

The radii of the bases of two cylindrical tins, P and Q, are r and 2r, respectively. If the water level in P is 10 cm high, what would be the height of the same quantity of water in Q?