Mathematics Past Questions and Answers

If \(y = x(x^4 + x + 1)\), evaluate \(\int \limits_{0} ^{1} y \mathrm d x\).

A \(\frac{11}{12}\)
B 1
C \(\frac{5}{6}\)
D Zero

Question 37:

\(\begin{array}{c|c} Age & 20 & 25 & 30 & 35 & 40 & 45\\
\hline Number of people & 3 & 5 & 1 & 1 & 2 & 3\end{array}\)
Find the median age of the frequency distribution in the table above.

A 20
B 25
C 30
D 35

Question 38:

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

Question 39:

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 \(\frac{5}{30}\)

Question 40:

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 \(\frac{7}{10}\)