1992
A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60\(^{\circ}\), find the width of the river.
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1992 JAMB UTME Mathematics Past Questions
1992
In the figure, if XZ is 10cm, calculate RY in cm.
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1992
The diagram is a circle with centre O. Find the area of the shaded portion.
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1992
In the figure, PQr is a semicircle while PQ and Qr are chords. QS is the perpendicular from Q to the diameter PR. What is the expression for QS?
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1992
The sketch is the curve of y = ax2 + bx + c. Find a, b and c respectively
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1992
A student has 5 courses to take from Mathematics and physics. There are 4 courses in Mathematics and 3 in Physics which he can choose his courses so that he takes exactly two courses in Physics?
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1992
Five people are to be arranged in a row for a group photograph. How many arrangements are the if a married couple in the group insist on sitting next to each other?
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1992
The probability of an event P is \(\frac{3}{4}\) while that of another event Q is \(\frac{1}{6}\). If the probability of both P and Q is \(\frac{1}{2}\). What is the probability of either P or Q.
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1992
Two perfect dice are thrown together, Determine the probability of obtaining a total score of 8
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1992
If the scores of 3 students in a test are 5, 6 and 7, find the standard deviation of their scores
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1992
\(\begin{array}{c|c} \text{No. of children} & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text{No. of families} & 7 & 11 & 6 & 7 & 7 & 5 & 3 \end{array}\)Find the mode and…
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1992
\(\begin{array}{c|c} x & 2 & 4 & 6 & 8\\ \hline f & 4 & y & 6 & 5 \end{array}\)If the mean of the above frequency distribution is 5.2, find y
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1992
Evaluate the integral \(\int^{\frac{\pi}{4}}_{\frac{\pi}{12}}\) 2 cos 2x dx
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1992
A student blows a balloon and its volume increases at a rate of \(\pi\)(20 - t2)cm3S-1 after t seconds. If the initial volume is 0 cm3, find the volume of the balloon after 2 seconds
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1992
Obtain a maximum value of the function f(x) x3 - 12x + 11
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1992
Ice forms on a refrigerator ice-box at the rate of (4 - 06t)g per minute after t minutes. If initially there are 2g of ice in the box, find the mass of ice formed in 5 minutes
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1992
If y = x sin x, Find \(\frac{d^2 y}{d^2 x}\)
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1992
Evaluate \(\frac{(x - 2)(x^2 + 3x - 2)}{x^2 - 4}\)
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1992
Given that \(\theta\) is an acute angle and sin \(\theta\) = \(\frac{m}{n}\), find cos \(\theta\)
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1992
find then equation line through (5, 7) parallel to the line 7x + 5y = 12
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