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Mathematics Past Questions and Answers

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Jamb 1984 Mathematics Questions

Question 31:

A right circular cone has a base radius r cm and a vertical angle 2y^o. The height of the cone is

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A R tan y<sup style='font-size: smaller;'>o</sup> cm
B R sin y<sup style='font-size: smaller;'>o</sup> cm
C R cot y<sup style='font-size: smaller;'>o</sup> cm
D R cos y<sup style='font-size: smaller;'>o</sup> cm
E R cosec y<sup style='font-size: smaller;'>o</sup> cm

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Question 32:

Two fair dice are rolled. What is the probability that both show up the same number of points.

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A \(\frac{1}{36}\)
B \(\frac{7}{36}\)
C \(\frac{1}{2}\)
D \(\frac{1}{3}\)
E \(\frac{1}{6}\)

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Question 33:

The larger value of y for which (y - 1)² = 4y - 7 is

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A 2
B 4
C 6
D 7
E 8

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Question 34:

If sin \(\theta\) = \(\frac{x}{y}\) and 0^o < 90^o then find \(\frac{1}{tan\theta}\)

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A \(\frac{x}{\sqrt{y^2 - x^2}}\)
B \(\frac{y}{x}\)
C \(\frac{\sqrt{y^2 + x^2}}{y^2 - x^2}\)
D \(\frac{y^2 - x^2}{x}\)

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Question 35:

Measurements of the diameters, in centimeters, in centimeters, of 20 copper spheres are distributed as shown below
\(\begin{array}{c|c} \text{Class boundary in cm} & \text{frequency} & \\\hline 3.35 - 3.45 & 3\\ 3.45 - 3.55 & 6\\ 3.55 - 3.65 & 7\\ 3.65 - 3.75 & 4\end{array}\)
What is the mean diameter of the copper spheres?

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A 3.40cm
B 3.58cm
C 3.56cm
D 3.62cm

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