2020 JAMB Mathematics Past Questions CBT

Evaluate (212)₃ – (121)₃ + (222)₃

Factorise (4a+3)² – (3a–2)²

Find all real numbers x which satisfy the inequality \( \normalsize \frac{1}{3} \scriptsize (x \: + \: 1) \:  – 1 > \normalsize  \frac{1}{5} \scriptsize (x \: + \: 4) \)

Find the median of the numbers 89, 141, 130, 161, 120, 131, 131, 100, 108 and 119

Reduce each number to two significant figures and then evaluate.

\( \frac{0.021741 \: \times \: 1.2047}{0.023789} \)

Four boys and ten girls can cut a field in 5 hours. If the boys work at \( \frac{5}{4} \) the rate at which the girls work, how many boys will be needed to cut the field in 3 hours?

What is the circumference of Latitude 0ºS if R is the radius of the earth?

A room is 12 m long, 9 m wide and 8 m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room.

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?

In a class of 150 students, the sector in a pie chart representing the students offering physics has angle 12⁰. How many students are offering physics?

If log₁₀2 = 0.3010 and log₁₀3 = 0.4771, evaluate without using the logarithm tables, log₁₀4.5

Simplify \( \frac{324 \: – \: 4x^2}{2x \: + \: 18} \)

In Preparing rice cutlets a cook used 75 g of rice, 40 g of margarine, 105 g of meat and 20 g of bread crumbs. Find the angle of the sector which represents meat in a pie chart?

The angle of a sector of a circle radius 10.5 cm, is 48º. Calculate the perimeter of the sector.

What is the product of \( \normalsize \frac{27}{5},  \scriptsize \: (3)^{-3} \: and \: \left (\normalsize \frac{1}{5} \right) ^{-1} \)

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?

A surveyor walks 500 m up a hill which slopes at an angle of 30º. Calculate the vertical height through which he rises.

In this figure, PQ = PR = PS and SRT = 68°.

Find QPS

Find the gradient of the line passing through the point (-2,0) and (0, -4).

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

If ₦225.00 yields ₦27.00 in x  years simple interest at the rate of 4% per annum, Find x.

Calculate the standard deviation of the following data 7, 8, 9, 10, 11, 12, 13

A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime.

The equation of the line in the graph is:

Express the product of 0.0014 and 0.011 in standard form.

A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank is 60⁰. Calculate the height of the tank.

Find the non-zero positive value of x which satisfies the equation.

\( \scriptsize \begin{bmatrix} x & 1 & 0 \\ 1 & x & 1 \\ 0 & 1 & x\end{bmatrix} \)

Find the simple interest rate percent per annum at which ₦1000 accumulates to ₦1240 in 3 years. 

The pie chart shows the income of a Civil Servant in a monthly income is ₦6,000. Find his monthly basic salary.

If  x is a positive real number, find the range of values for which:

⇒ \( \normalsize \frac{1}{3x} \: + \:  \normalsize \frac{1}{2}\scriptsize > \normalsize \frac{1}{4x}   \)

Find the value of  x  if \( \frac{\sqrt{2}}{x \: + \: \sqrt{2}} =  \frac{1}{x\: –  \:\sqrt{2}} \)

A binary operation x  is defined by  \( \scriptsize a*b =  a^b \)

If \( \scriptsize a*2 =  2 \: – \: a \) find the possible values of a.

The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST.

A sector of a circle of radius 7.2 cm which subtends an angle of 300° at the centre is used to form a cone. What is the radius of the base of the cone?

A cylinder tank has a capacity of 3080 m³. What is the depth of the tank if the diameter of its base is 14 m?

The acres for rice, pineapple, cassava, cocoa, and palm oil in a certain district are given respectively as 2, 5, 3, 11, and 9. What is the angle of the sector of cassava in a pie chart? 

Three consecutive terms of a geometric progression are given as n-2, n, and n +3. Find the common ratio.

In a class of 40 students 32 after mathematics, 24 offer physics and 4 offer neither mathematics nor physics. How many offer both mathematics and physics?

The sum of the interior angle of a pentagon is  6x + 6y. Find y in terms of x.

The mean age of a group of students is 15 years. When the age of the teacher, 45 years old, is added to the ages of the students, the mean of their ages becomes 18 years. Find the number of students in the group.