2019 JAMB Mathematics Past Questions CBT

If Johnson scored 75 in Biology instead of 57, his average mark in four Subjects would have been 60. What was his total mark?

Simplify \( \frac{0.0324 \; \times \; 0.00064}{0.48 \; \times \; 0.012} \)

In 1984, Ojo was 24 years old and his father was 45 years old. In what year was Ojo exactly half his father’s age?

Find the total surface area of a solid cone of radius 2√3 cm and slanting side 4√3 cm.

A man kept 6 black, 5 brown, and 7 purple shirts in a drawer. What is the probability of him picking a purple shirt with his eyes closed?

Evaluate without using a table:

⇒ \( \scriptsize \left( 0.0008\right)^{\frac{1}{3}} \: \times \: \left(0.16 \right)^{\frac{3}{2}} \)

Find correct to one decimal place. 0. 24633 ÷ 0. 0306

What is the circumference of latitude QºS if R is the radius of the earth?

The goals scored by 40 football teams from three league divisions are recorded below:

\( \scriptsize \begin{array}{c|c} \text{Number of goals} & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline frequency & 4 & 3 & 15 & 16 & 1 & 0 & 1\end{array} \)

What is the total number of goals scored by all the teams?

The numbers 3, 2, 8, 5, 7, 12, 9 and 14 are the marks scored by a group of students in a class test. If P is the mean and Q is the median, then P + Q is:

At what rate would a sum of ₦100.00 deposited for 5 years raise an interest of ₦7.50?

Simplify and express in Standard form \( \frac{0.00275 \; \times \; 0.0064}{0.025 \; \times \; 0.08} \)

In the diagram, the area of PQRS is 73.5 cm², and its height is 10.5 cm. Find the length of PS if QR is one-third of PS.

Which of the following is a factor of rs + tr – pt – ps?

In this diagram, find the value of y

From a point Z, 60 m north of x, a man walks 60√3 m eastward to another point Y. Find the bearing of Y from X.

A crate of soft drinks contains 10 bottles of Coca-Cola, 8 of Fanta, and 6 of Sprite. If one bottle is selected at random, what is the probability that it is NOT a Coca-Cola bottle?

Find n if 34_n = 10011₂

What is the value of x satisfying the equation \( \frac{4^{2x}}{4^{3x}} \scriptsize = 2 \)?

Find the equation of the line through (5, 7) parallel to the line 7x + 5y = 12.

This diagram is a circle with centre O. Find the area of the shaded portion.

A storekeeper checked his stock of five commodities and arrived at the following statistics

What angle will commodity H represent on a pie chart?

Change 71₁₀ to base 8

If \( \scriptsize \sqrt{x^2 \; + \; 9} = x \; + \; 1 \)

Solve for x

A regular polygon has 150° as the size of each interior angle. How many sides has the polygon?

Calculate the length in cm of the arc of a circle of diameter 8 cm which subtends an angle of \( \scriptsize 22\frac{1}{2}^{\circ}\) at the centre of the circle.

In the diagram, QPS = SPR, PR = 9 cm, PQ = 4 cm and QS = 3 cm. Find SR.

Find the radius of a sphere whose surface area is 154 cm²

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

Find the area of a sector of a circle with radius 3 m, if the angle of the sector is 60º.

The angle between latitudes 30ºS and 13ºN is

Solve the simultaneous equation
\( \normalsize \frac{2}{x} \; – \; \frac{3}{y} \scriptsize = 2, \normalsize \frac{4}{x} \; + \; \frac{3}{y} \scriptsize = 10 \)

Find the minimum value of x² – 3x + 2 for all real values of x

From the figure FK//GR and FH = GH, ∠RFK = 34º and ∠FGH = 47º. Calculate the angle marked x.

A market woman sells oil in cylindrical tins 10 cm deep and 6 cm in diameter at ₦15.00 each. If she bought a full cylinder jug 18 cm deep and 10cm in diameter for ₦50.00, how much did she make by selling all the oil?

Find the length XZ  in the triangle

A man wishes to keep some money in a savings deposit at 25% compound interest so that after 3 years he can buy a car for ₦150,000. How much does he need to deposit now?

A car dealer bought a second-hand car for ₦250,000.00 and spent ₦70,000.00 refurbishing it. He then sold the car for ₦400,000.00. What is the percentage gain?

The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 45 men to do a piece of work in 5 days, how long will it take 25 men?

Given U = {Even number between 0 and 30}

P = (Multiples of 6 between 0 and 30)

Q = (Multiples of 4 between 0 and 30)

Find (P ∪ Q)′

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 seconds is 64 cm long, find the length of a pendulum whose period is 9 seconds.