Mathematics Past Questions and Answers

If the scores of 3 students in a test are 5, 6 and 7, find the standard deviation of their scores

A \(\frac{2}{3}\)
B \(\frac{2}{3}\sqrt{3}\)
C \(\sqrt{\frac{2}{3}}\)
D \(\sqrt{\frac{3}{2}}\)

Question 42:

Two perfect dice are thrown together, Determine the probability of obtaining a total score of 8

A \(\frac{1}{12}\)
B \(\frac{5}{36}\)
C \(\frac{1}{6}\)
D \(\frac{7}{36}\)

Question 43:

The probability of an event P is \(\frac{3}{4}\) while that of another event Q is \(\frac{1}{6}\). If the probability of both P and Q is \(\frac{1}{2}\). What is the probability of either P or Q.

A \(\frac{1}{96}\)
B \(\frac{1}{8}\)
C \(\frac{5}{6}\)
D \(\frac{11}{12}\)

Question 44:

Five people are to be arranged in a row for a group photograph. How many arrangements are there if a married couple in the group insist on sitting next to each other?

A 48
B 24
C 20
D 10

Question 45:

A student has 5 courses to take from Mathematics and physics. There are 4 courses in Mathematics and 3 in Physics which he can choose his courses so that he takes exactly two courses in Physics?

A 48
B 12
C 10
D 7