2000
In the diagram above, EFGH is a circle center O. Fh is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH.
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2000 JAMB UTME Mathematics Past Questions
2000
Evaluate 5-3log52 x 22log23
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2000
In how many ways can a delegation of 3 be chosen from 5 men and 3 women. If at least 1 man and 1 woman must be included?
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2000
The cumulative frequency curve represents the ages of ages of students in a school. What age group do 70% of the students belongs?
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2000
If the diagram is the graph of y = x2, the shaded area is
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2000
In the diagram, EFGH is a circle centre O. FH is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH
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2000
Simplify \(\frac{1}{1 + \sqrt{5}}\) - \(\frac{1}{1 - \sqrt{5}}\)
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2000
The expression ax2 + bx + c equals 5 at x = 1. If its derivative is 2x + 1, what are the values of a, b, c respectively?
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2000
A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?
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2000
Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 10, 9, 7, 10, 6, 5
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2000
The variance of x, 2x, 3x, 4x and 5x is
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2000
If U = {x : x is an integer and 1 \(\leq\) x \(\leq\) 20 E1 = {x : x is a multiple of 3} E2 = {x : x is a multiple of 4} and an integer is picked at random from U, find the probability that it is not in E2
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2000
Given that the various faces of a fair dice 1, 2, 3, 4, 5, 6 appeared 30, 43, 54, 40, 41, 32 times respectively in a single toss. Picture the figures as being represented in a simple table with number (X) against frequen…
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2000
In how many ways can the word MATHEMATICS be arranged?
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2000
If the mean of the numbers 0, (x+2), (3x+6), and (4x+8) is 4, find their mean deviation.
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2000
X and Y are two events. The probability of X or Y is 0.7 and that of X is 0.4. If X and Y are independent, find the probability of Y.
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2000
If the volume of a hemisphere is increasing at a steady rate of 18π m/s, at what rate is its radius changing when its is 6m?
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2000
A bowl is designed by revolving completely the area enclosed by y = x2 - 1, y = 3 and x ≥ 0 around the axis. What is the volume of this bowl?
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2000
If y = 2x - sin2x, find dy/dx when x = π/4
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2000
Find the value of \(\int^{\pi}_{0}\frac{cos^{2}\theta-1}{sin^{2}\theta}d\theta\)
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