Daily Practice - Higher Plus

A bag holds 7 red, 7 blue and 5 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 18/√6, giving your answer in its simplest form.Rationalise the denominator of 18/sqrt(6), giving your answer in its simplest form.

f(x) = 7x + 5. Work out the inverse function f^-1(x).f(x) = 7x + 5. Work out the inverse function f^-1(x).

y is inversely proportional to x². When x = 5, y = 48. Work out y when x = 4.y is inversely proportional to x^2. When x = 5, y = 48. Work out y when x = 4.