1997 - JAMB Mathematics Past Questions and Answers - page 4
31
In a triangle XYZ, if < ZYZ is 60, XY = 3cm and YZ = 4cm, calculate the length of the sides XZ.
A
√23cm
B
√13cm
C
2√5cm
D
2√3cm
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32
Differentiate \(\frac{6x^3 - 5x^2 + 1}{3x^2}\) with respect to x
A
\(\frac{2 + 2}{3x^3}\)
B
2 + \(\frac{1}{6x}\)
C
2 - \(\frac{2}{3x^3}\)
D
\(\frac{1}{5}\)
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33
\(\frac{d}{dx}\) cos(3x2 - 2x) is equal to
A
-sin(6x - 2)
B
-sin(3x2 - 2x)dx
C
(6x - 2) sin(3x2 - 2x)
D
-(6x - 2)sin(3x2 - 2x)
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34
Integrate \(\frac{1}{x}\) + cos x with respect to x
A
-\(\frac{1}{x^2}\) + sin x + k
B
x + sin x - k
C
x - sin x + k
D
-\(\frac{1}{x^2}\) - sin x + k
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35
If y = x(x4 + x + 1), evaluate ∫\(^{1}_{0}\) ydx
A
\(\frac{11}{12}\)
B
\(\frac{11}{16}\)
C
\(\frac{5}{6}\)
D
zero
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36
\(\begin{array}{c|c} Age & 20 & 25 & 30 & 35 & 40 & 45\\
\hline Number of people & 3 & 5 & 1 & 1 & 2 & 3\end{array}\)
Find the median age of the frequency distribution in the table above.
Find the median age of the frequency distribution in the table above.
A
20
B
25
C
30
D
35
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37
Find the difference between the range and the variance of the following set of numbers 4, 9, 6, 3, 2, 8, 10, 5, 6, 7 where \(\sum d^2\) = 60
A
2
B
3
C
4
D
6
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38
In a basket of fruits, there are 6 grapes, 11 bananas and 13 oranges, if one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?
A
\(\frac{17}{30}\)
B
\(\frac{11}{30}\)
C
\(\frac{6}{30}\)
D
\(\frac{5}{30}\)
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39
A number is selected at random between 10 and 20, both numbers inclusive. Find the probability that the number is an even number
A
\(\frac{5}{11}\)
B
\(\frac{1}{2}\)
C
\(\frac{6}{11}\)
D
\(\frac{7}{10}\)
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40
Find the standard derivation of the following data -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
A
2
B
3
C
\(\sqrt{10}\)
D
\(\sqrt{11}\)
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