Mathematics Past Questions and Answers

A stone Q is tied to a point P vertically above Q by an inelastic string of length 2 meters. How high does the stone rise when the string is inclined at an angle 60^o to the vertical?

A It does not rise
B 2\(\sqrt{3}\) meters
C 3 meters
D 1 meters
E 3

Question 692:

Express 130 kilometers per second in meters per hour

A 7.8 x 10^-5
B 4.68 x 10⁶
C 7,800,000
D 4.68 x 10⁸
E 7.80 x 10⁵

Question 693:

The quantity y is partly constant and partly varies inversely as the square of x. With P and Q as constants, a possible relationship between x and y is

A Y = Q + \(\frac{P}{x^2}\)
B Y = Q + px
C Y = \(\frac{PQ}{x^2}\)
D Y = Q - \(\frac{P}{x^2}\)

Question 694:

If \(\frac{3e + f}{3f - e}\) = \(\frac{2}{5}\), find the value of \(\frac{e + 3f}{f - 3e}\)

A \(\frac{5}{2}\)
B 1
C \(\frac{26}{7}\)
D \(\frac{1}{3}\)

Question 695:

A world congress of mathematicians were held in Nice in 1970 with 800 people participating. There were 300 from Europe, 200 from America, 150 from Asia, 45 from Africa and 105 from Australia. Representing the above on a pie chart, the angle of the sector representing the participants from Asia is?

A 150^o
B 67\(\frac{1}{2}\)^o
C 67^o
D 135^o
E 68^o