Mathematics Past Questions and Answers

A bag contains 4 red and 6 black balls of the same size. If the balls are shuffled briskly and two balls are drawn one after the other without replacement, find the probability of picking balls of different colours

A \(\frac{8}{15}\)
B \(\frac{13}{25}\)
C \(\frac{11}{15}\)
D \(\frac{13}{15}\)

Question 1432:

Which of these statements about y = 8\(\sqrt{m}\) is correct?

A Log y = log 8 x log \(\sqrt{m}\)
B Log y = 3 log 2 x \(\frac{1}{2}\) log m
C Log y = 3 log 2 - \(\frac{1}{2}\) log m
D Log y = 3 log 2 + \(\frac{1}{2}\) log m

Question 1433:

If x + 0.4y = 3 and y = \(\frac{1}{2}\)x, find the value of (x + y)

A 1\(\frac{1}{4}\)
B 2\(\frac{1}{2}\)
C 3\(\frac{3}{4}\)
D 5

Question 1434:

Express 3 - [\(\frac{x - y}{y}\)] as a single fraction

A \(\frac{3xy}{y}\)
B \(\frac{x - 4y}{y}\)
C \(\frac{4y - x}{y}\)
D 3 - \(\frac{x - y}{y}\)

Question 1435:

If p = {prime factors of 210} and Q = {prime less than 10}, find p \(\cap\) Q

A {1,2, 3}
B {2, 3, 5}
C {1, 3, 5,7}
D {2,3,5,7}