JAMB Mathematics 2020

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JAMB Mathematics 2020

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

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

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In a class of 150 students, the sector in a pie chart representing the students offering physics has angle 12o. How many students are offering physics?

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

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Express each number in 0.02174×1.20470.023789 to two significant figures and then evaluate

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

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In a class of 150 students, the sector in a pie chart representing the students offering physics has angle 12o. How many students are offering physics?

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

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

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If x is positive real number, find the range of values for which\frac{1}{3} 13x +\frac{1}{2} 12 > 14\frac{1}{4}x

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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 60o. Calculate the height of the tank.

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Express the product of 0.0014 and 0.011 in standard form

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Find all real number x which satisfy the inequality 13 (x + 1) - 1 > 15(x + 4)

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

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

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Four boys and ten girls can cut a field first in 5 hours. If the boys work at 54 the rate at which the girls work, how many boys will be needed to cut the field in 3 hours?

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

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

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If N225.00 yields N27.00 in x years simple interest at the rate of 4% per annum, find x.

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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

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

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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?

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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?

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

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A binary operation x is defined by a x b = ab. ^bIf a x 2 = 2 - a, find the possible values of a?

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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.

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

No of goals 0 1 2 3 4 5 6
Frequency 4 3 15 16 1 0 1

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

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

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

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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?

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Evaluate (212)3 - (121)3 + (222)3

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

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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

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

 

 

 

 

 

 

 

 

 

 

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