Mathematics Past Questions and Answers

The number of goals scored by a football team in 20 matches is shown below
\(\begin{array}{c|c} \text{No. of goals} & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline \text{No. of matches} & 3 & 5 & 7 & 3 & 1 & 0 \end{array}\)
What are the values of the mean and the mode respectively?

A (1.75, 5)
B (1.75, 2)
C (1.75, 1)
D (65, 74)

Question 27:

If the hypotenuse of right angled isosceles triangle is 2, what is the length of each of the other sides?

A \(\sqrt{2}\)
B \(\frac{1}{2}\)
C 22
D 1
E 2 - 1

Question 28:

If two fair coins are tossed, what is the probability of getting at least one head?

A \(\frac{1}{4}\)
B \(\frac{1}{2}\)
C 1
D \(\frac{43}{78}\)
E \(\frac{3}{4}\)

Question 29:

The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm3, then the volume of the other block is

A 234.00 cm3
B 526.50 cm3
C 166.00 cm3
D 687cm3

Question 30:

The bearing of a bird on a tree from a hunter on the ground is N72oE. What is the bearing of the hunter from the birds?

A S 18o W
B S 72o W
C S 72o E
D S 27o E
E S 27o W