Mathematics Past Questions and Answers

The cumulative frequency function of the data below is given below by the equation y = cf(x). What is cf(5)?
\(\begin{array}{c|c} Score(n) & Frequency(f)\\\hline 3 & 30\\ 4 & 32\\ 5 & 30\\ 6 & 35\\8 & 20 \end{array}\)

A 30
B 32
C 55
D 62
E 92

Question 32:

A right circular cone has a base radius r cm and a vertical angle 2y^o. The height of the cone is

A R tan y^o cm
B R sin y^o cm
C R cot y^o cm
D R cos y^o cm
E R cosec y^o cm

Question 33:

Two fair dice are rolled. What is the probability that both show up the same number of points.

A \(\frac{1}{36}\)
B \(\frac{7}{36}\)
C \(\frac{1}{2}\)
D \(\frac{1}{3}\)
E \(\frac{1}{6}\)

Question 34:

The larger value of y for which (y - 1)² = 4y - 7 is

Question 35:

If sin \(\theta\) = \(\frac{x}{y}\) and 0^o < 90^o then find \(\frac{1}{tan\theta}\)

A \(\frac{x}{\sqrt{y^2 - x^2}}\)
B \(\frac{y}{x}\)
C \(\frac{\sqrt{y^2 + x^2}}{y^2 - x^2}\)
D \(\frac{y^2 - x^2}{x}\)