JAMB Mathematics 2020 Past Questions

Evaluate (212)\(_3\) - (121)\(_3\) + (222)\(_3\)

Factorise (4a + 3) \(^2\) - (3a - 2)\(^2\)

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

Find all real number x which satisfy the inequality \(\frac{1}{3}\) (x + 1) - 1 > \(\frac{1}{5}\)(x + 4) 

Reach each number to two significant figures and then evaluate \(\frac{0.02174 \times 1.2047}{0.023789}\) 

Four boys and ten girls can cut a field first 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 0\(^o\)S if R is the radius of the earth? 

A room is 12m long, 9m wide and 8m 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

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 12\(^o\). How many students are offering physics? 

If log\(_{10}\)2 = 0.3010 and log\(_{10}\)3 = 0.4771, eventually without using the logarithm tables, log\(_{10}\)4.5

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

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

The angle of a sector of a circle radius 10.5 cm is 48\(^o\). Calculate the perimeter of the sector.

What is the product of \(\frac{27}{5}\), \((3)^{-3}\) and (\(\frac{1}{5})^{-1}\)?

A crate of soft drinks contains 10 bottle 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? 

In this fiqure, PQ = PR = PS and SRT = 68\(^o\). Find QPS 

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

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

If N225.00 yields N27.00 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 towel observes that the angle of elevation of the top of the tank is 60\(^o\). Calculate the height of the tank.

Find the simple interest rate percent annum at which N1000 accumulates to N1240 in 3 years. 

The pie chart shows the income of a civil servant in month. If his monthly income is N6,000. Find his monthly basic salary. 

If x is positive real number, find the range of values for which \(\frac{1}{3}\)x + \(\frac{1}{2}\) > \(\frac{1}{4}\)x

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

A binary operation x is defined by a x b = a\(^b\). If a x 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 circle of radius 7.2cm which substends an angle of 300\(^o\) at the centre is used to form a cone. What s the radius of the base of the cone?

A cylindrical tank has a capacity of 3080m\(^3\). What is the depth of the tank if the diameter of its base is 14m?

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 give as n - 2, n and n + 3. Find the common ratio 

In a class of 40 students, 32 offer 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 pentagon is 6x + 6y. Find y in terms of x.

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

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

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

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

Evaluate (212)\(_3\) - (121)\(_3\) + (222)\(_3\)

Factorise (4a + 3) \(^2\) - (3a - 2)\(^2\)

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

Find all real number x which satisfy the inequality \(\frac{1}{3}\) (x + 1) - 1 > \(\frac{1}{5}\)(x + 4) 

Reach each number to two significant figures and then evaluate \(\frac{0.02174 \times 1.2047}{0.023789}\) 

Four boys and ten girls can cut a field first 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 0\(^o\)S if R is the radius of the earth? 

A room is 12m long, 9m wide and 8m 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

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 12\(^o\). How many students are offering physics?