2020
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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2020 JAMB UTME Mathematics Past Questions
2020
A surveyor walks 500m up a hill which slopes at an angle of 30\(^o\). Calculate the vertical height through which he rises
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2020
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 become18 years. Find the number of students in the group.
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2020
The sum of the interior angle of pentagon is 6x + 6y. Find y in terms of x.
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2020
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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2020
Three consecutive terms of a geometric progression are give as n - 2, n and n + 3. Find the common ratio
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2020
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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2020
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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2020
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?
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2020
The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST
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2020
A binary operation x is defined by a x b = a\(^b\). If a x 2 = 2 - a, find the possible values of a?
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2020
Find the value of x if \(\frac{\sqrt{2}}{x + \sqrt{2}}\) = \(\frac{1}{x- \sqrt{2}}\)
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2020
If x is positive real number, find the range of values for which \(\frac{1}{3x}\) + \(\frac{1}{2}\)x = \(\frac{2 + 3x}{6x}\) > \(\frac{1}{4x}\)
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2020
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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2020
Find the simple interest rate percent annum at which N1000 accumulates to N1240 in 3 years.
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2020
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.
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2020
Express the product of 0.0014 and 0.011 in standard form
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2020
The equation of the line in the graph is
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2020
A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime.
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2020
Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13
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