Mathematics Past Questions and Answers

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:

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:

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:

\(\begin{array}{c|c} x & 2 & 4 & 6 & 8\\ \hline f & 4 & y & 6 & 5 \end{array}\)
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:

\(\begin{array}{c|c} \text{No. of children} & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text{No. of families} & 7 & 11 & 6 & 7 & 7 & 5 & 3 \end{array}\)
Find the mode and median respectively of the distribution above

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