Jamb Mathematics 1992 Past Questions and Answers

Question 36:

• JAMB 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

A. 37.00\(\pi\)
B. 37.33\(\pi\)
C. 40.00\(\pi\)
D. 42.67\(\pi\)

Question 37:

• JAMB 1992

Evaluate the integral \(\int^{\frac{\pi}{4}}_{\frac{\pi}{12}} 2 \cos 2x \mathrm {d} x\)

A. -\(\frac{1}{2}\)
B. -1
C. \(\frac{1}{2}\)
D. 1

Question 38:

• JAMB 1992

A store keeper checked his stock of five commodities and arrived at the following statics
\(\begin{array}{c|c} Comoditiy & Quantity\\ \hline F & 125\\ G & 113\\ H & 108\\ K & 216 \\ M & 68\end{array}\)
What angle will commodity H represent on a pie chart?

A. 216^o
B. 108^o
C. 68^o
D. 54^o

Question 39:

• JAMB 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

A. 2, 1
B. 1, 2
C. 1, 5
D. 5, 2

Question 40:

• JAMB 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 median respectively of the distribution above

A. 2, 1
B. 1, 2
C. 1, 5
D. 5, 2