Daily Practice - Higher Plus

A bag holds 7 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 3, 0.5. Which class contains the median?

Rationalise the denominator of 132/√11, giving your answer in its simplest form.Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.

f(x) = 8x - 5. Work out the inverse function f^-1(x).f(x) = 8x - 5. Work out the inverse function f^-1(x).

y is inversely proportional to x². When x = 2, y = 25. Work out y when x = 5.y is inversely proportional to x^2. When x = 2, y = 25. Work out y when x = 5.