2019 Mathematics WAEC Objective Past Questions

Express, correct to three significant figures, 0.003597

Evaluate \( \scriptsize (0.064)^{-\frac{1}{3}} \)

Solve \( \frac{y \: + \: 1}{2} \: -\: \frac{2y \: – \: 1}{3} \scriptsize = 4 \)

Simplify, correct to three significant figures, (27.63)²   – (12.37)²

If  7 + y = 4(mod8). Find the least value if 10 ≤ y ≤ 30

If T = { Prime numbers} and

M = {odd numbers} are subsets of

μ = { x : 0 < x ≤ 10 and x is an integer }

find \( \scriptsize \left( T^{\prime} \cap M^{\prime}\right) \)

Evaluate: \( \frac{\log_{3} 9 \: – \: \log_{2} 8}{\log_{3} 9} \)

If 23_y = 1111_two , find the value of y

If 6, P and 14 are consecutive terms of an Arithmetic Progression (A.P), find the value of p.

Evaluate \( \scriptsize 2 \sqrt{28} \: – \: 3 \sqrt{50} \: + \: \sqrt{72} \)

If m : n = 2 : 1, evaluate

\( \frac{3m^2 \: -\: 2n^2}{m^2 \: + \: mn} \)

H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y.

Solve 4x² – 16x + 15 = 0

Evaluate \( \frac{0.42 \: \div \: 2.5}{0.5 \: \times \: 2.05} \)

leaving the answer in standard form.

Simplify \( \scriptsize \log_{10}6 \: –  \:  3\log_{10}3 \: + \: \normalsize \frac{2}{3}  \scriptsize \log_{10} 27 \)

Bala sold an article for ₦6,900.00 and made a profit of 15%. Calculate his percentage profit if he had sold it for ₦6,600.00.

If 3p = 4q and 9p = 8q – 12, find the value of pq.

If (0.25)^y = 32, Find the value of y

There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy?

Simplify \(\frac{x^2 \: – \: 5x \: – \: 14}{x^2 \: – \: 9x \: + \: 14} \)

Which of the values would make \(\frac{3p \: – \: 1}{p^2 \: – \: p} \) undefined?

The total surface area of a solid cylinder is 165 cm². If the base diameter is 7 cm, calculate its height.

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

If \( \scriptsize 2^a = \sqrt{64} \)

and \( \frac{b}{a} \scriptsize = 3 \)

Evaluate a² + b²

In ΔXYZ, |YZ| = 32 cm, ∠YXZ = 52^o and ∠XZY = 90^o

Find, correct to the nearest centimetre, |XZ|

If log_x2 = 0.3, evaluate log_x8

An arc subtends an angle of 72º at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5 cm.

Take π = \( \frac{22}{7} \)

Make b the subject of the relation 

lb = \(\frac{1}{2} \scriptsize (a \: + \: b)h \)

Eris sold his house through an agent who charged 8% commission on the selling price. If Eric received $117,760.00 after the sale, what was the selling price of the house?

Find the angle which an arc of length 22 cm subtends at the centre of a circle of radius 15 cm.

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

A rectangular board has length 15 cm and width x cm. If its sides are doubled, find its new area?

In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, |OS|=|OT| and ∠OST = 50º. Calculate the value of ∠OPQ

Factorize completely: (2x + 2y)(x – y) + (2x -2y)(x +y)

The interior angles of a polygon are 3xº, 2xº, 4xº, 3xº and 6xº. Find the size of the smallest angle of the polygon.

A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other without replacement, what is the probability that they are of different colours?

Find the equation of a straight line passing through the point (1, -5) and having gradient of \(  \frac{3}{4} \)

The foot of a ladder is 6 m from the base of an electric pole. The top of the ladder rests against the pole at a point 8 m above the ground. How long is the ladder?

If tan x = \( \frac{3}{4}\scriptsize , \: 0 < x < 90^o \)

Evaluate \( \frac{cos\: x}{2 sin \: x} \)

From the top of a vertical cliff 20 m high, a boat at sea can be sighted 75 m away and at the same horizontal position as the foot of the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

In the diagram, O is the centre of the circle of radius 18 cm. If ∠ZXY = 70º, calculate the length of arc ZY.

Take π = \( \frac{22}{7} \)

In the diagram, RT is a tangent to the circle at R, ∠PQR = 70º, ∠QRT = 52º, ∠QSR = y, and ∠PRQ = xº.

Calculate the value of xº

In the diagram, RT is a tangent to the circle at R, ∠PQR = 70º, ∠QRT = 52º, ∠QSR = y, and ∠PRQ = xº.

Find the value of yº

Calculate the variance of 2, 4, 7, 8 and 9.

The fourth term of an Arithmetic progression (A.P) is 37 and the first term is –20. Find the common difference.

In the diagram, PQ is parallel to RS, ∠QFG = 105º and ∠FEG = 50º

Find the value of m

In the diagram, PQ is parallel to RS, ∠QFG = 105º and ∠FEG = 50º

Find the value of nº.

A box contains 5 red, 6 green and 7 yellow pencils of the same size. What is the probability of picking a green pencil at random?

The pie chart represents fruits on display in a grocery shop. If there are 60 oranges on display, how many apples are there?

The following are scores obtained by some students in a test

8              18           10           14           18           11           13           14           13           17           15           8              16           13

Find the mode of the distribution

The following are scores obtained by some students in a test

8              18           10           14           18           11           13           14           13           17           15           8              16           13

Find the median score

The following are scores obtained by some students in a test

8              18           10           14           18           11           13           14           13           17           15           8              16           13

How many students scored above the mean score?