Mathematics Past Questions and Answers

Find the missing value in the table below
\(\begin{array}{c|c} x & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline y = 4 - 3x - x^3 & 80 & & 18 & 8 & 4 & 0 & -10 & -32 \end{array}\)

A -32
B -14
C 40
D 22
E 37

Question 27:

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 28:

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 29:

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 30:

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