Daily Practice - Higher Plus

A bag holds 4 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

A histogram has four 20-wide classes from 0, with frequency densities 2, 1, 3, 0.5. Which class contains the median?

Rationalise the denominator of 42/√7, giving your answer in its simplest form.Rationalise the denominator of 42/sqrt(7), giving your answer in its simplest form.

In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?

y is directly proportional to √x. When x = 36, y = 42. Work out y when x = 81.y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 81.