2020 Mathematics WAEC Objective Past Questions

Evaluate correct to two decimal places, 75.0785 – 34.624 + 9.83

If X = {x: x <7} and Y = {y: y is a factor of 24} are subsets of µ= {1, 2, 3…10} find X∩Y.    

Simplify \(\left [\left (\normalsize \frac{16}{9} \right )^{\normalsize \frac{-3}{2}} \scriptsize \: \times \:  16^{ \normalsize \frac{-3}{4}} \right ]^{\normalsize  \frac{1}{3}}\)

Find the least value of x which satisfies the equation 4x = 7(mod9)

Express 1 + 2log₁₀3 in the form log₁₀q

If 101_two + 12_y = 23_five. Find the value of y.

An amount of ₦550,000.00 was realized when a principal, x was saved at 2% simple interest for 5 years. Find the value of x.

Given that \( \frac{\sqrt{3} \: + \: \sqrt{5}}{\sqrt{5}} = \scriptsize x \:+\: y\sqrt{15} \)

Find the Value of (x +y).

If x = 3 and y = -1, evaluate \( \scriptsize 2(x^2 \: – \: y^2) \)

Solve 3x – 2y = 10 and x + 3y = 7 simultaneously

The implication x ⇒ y is equivalent to

The first term of a Geometric Progression (G.P) is 3 and the 5^th term is 48. Find the common ratio.

Solve \( \normalsize \frac{1}{3} \scriptsize (5 \: – \: 3x) < \normalsize\frac{2}{5} \scriptsize  (3 \: – \: 7x) \)

Make m the subject of the relation k = \(  \sqrt{\frac{m \: – \: y}{m \: + \: 1}} \)

Find the quadratic equation whose roots are

\(\normalsize \frac{1}{2} \: \scriptsize \:  and \: –  \normalsize \frac{1}{3}\)

Given that x is directly proportional to y and inversely proportional to z, x = 15 when y = 10 and z = 4, find the equation connecting x, y, and z.

Two buses start from the same station at 9.00 a.m. and travel in opposite directions along the same straight road. The first bus travels at a speed of 72 km/h and the second at 48 km/h. At what time will they be 240 km apart?

A solid cuboid has a length of 7 cm; width of 5 cm and height of 4 cm. Calculate its total surface area.

In the diagram, \( \scriptsize \bar{PQ}// \bar{SR} \)

Find the value of x

Find the equation of the line parallel to 2y = 3(x – 2) and passes through the point (2, 3).   

The expression \( \frac{5x \: + \: 3}{6x(x \: + \: 1)} \) will be undefined when x equals _____

A man is five times as old as his son. In four years time, the product of their ages would be 340. If the son’s age is y, express the product of their ages in terms of y.

Simplify \( \frac{a}{b} \: – \: \frac{b}{a} \: – \: \frac{c}{b}  \)

In the diagram, XYZ is an equilateral triangle of side 6 cm and T is the midpoint of \( \scriptsize \hat{XY} \)

Find tan (∠XZT).

A fence, 2.4 m tall, is 10 m away from a tree of height 16 m. Calculate the angle of elevation of the top of the tree from the fence.

Fati buys milk at ₦x per tin and sells each at a profit of ₦y. If she sells 10 tins of milk, how much does she receive from sales?

If tan y is positive and sin y is negative, in which quadrant would y lie?

The dimensions of a rectangular base of a right pyramid are 9 cm by 5 cm. If the volume of the pyramid is 105 cm³, how high is the pyramid? 

Each interior angle of a regular polygon is 168ᵒ. Find the number of sides of the polygon. 

In the diagram, MN || PQ, ∠MNP = 2x and ∠NPQ = (3x – 50^o). Find the value of ∠NPQ

The length of an arc of a circle of radius 3.5 cm is \( \scriptsize 1 \frac{19}{36} \: cm \)

Calculate, correct to the nearest degree, the angle subtended by the arc at the centre of the circle.

Take π = \( \frac{22}{7} \)

In the diagram,

• \( \scriptsize \overline{PU} // \overline{SR} \)
• \( \scriptsize \overline{PS} // \overline{TR} \)
• \( \scriptsize \overline{QS} // \overline{UR} \)

|UR| = 15 cm, |SR| = 8 cm, |PS| = 10 cm and the area of ΔSUR = 24 cm². Calculate the area of PTRS.

In the diagram, PQR is a circle with centre O. If ∠OPQ = 48^o, find the value of m

The pie chart shows the population of men, women, and children in a city. If the population of the city is 1,800,000, how many men are in the city?

The mean of the numbers 15, 21, 17, 26, 18 and 29 is 21. Calculate the standard deviation.

In the diagram, O is the centre of the circle. SOQ is the diameter, and ∠ SRP = 37^o. Find ∠PSQ.

Find the sum of the interior angles of a pentagon.

The diameter of a sphere is 12 cm. Calculate, correct to the nearest cm³, the volume of the sphere

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

A box contains 12 identical balls, of which 5 are red, 4 blue, and the rest are green.

Use this information to answer the question below

If a ball is selected at random from the box, what is the probability that it is green?

A box contains 12 identical balls, of which 5 are red, 4 blue, and the rest are green.

Use this information to answer the question below

If two balls are selected at random, one after the other with replacement, what is the probability that both are red?

In the diagram, PQ is a straight line. 

If m = \( \frac{1}{2} \scriptsize (x \: + \: y \: + \: z) \)

Find the value of m

The points on a linear graph are as shown in the table. Find the gradient (slope) of the line.

In the diagram, O is the centre of the circle, \( \scriptsize \bar{PQ} \: and \: \bar{RS} \) are tangents to the circle. Find the value of (m + n)

In the diagram, O is the centre of the circle. If ∠NLM = 74^o, ∠LMN = 39^o and ∠LOM = x, find the value of x

Which of the following is not a sufficient condition for two triangles to be congruent?

A woman received a discount of 20% on a piece of cloth she purchased from a shop. If she paid $525.00, what was the original price?

The interquartile range of a distribution is 7. If the 25^th percentile is 16, find the upper quartile.

The graphs of the equations y = 2x + 5 and y = 2x² + x – 1 are shown.

Use this information to answer the question

Find the points of intersection of the two graphs.

The graphs of the equations y = 2x + 5 and y = 2x² + x – 1 are shown.

Use this information to answer the question

If x =-2.5, what is the value of y on the curve?

If (x + 2) is a factor of x² + px  – 10, find the value of p.