Daily Practice - Higher Plus

A bag holds 5 red and 4 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 0.5, 2, 1, 3. Which class contains the median?

Rationalise the denominator of 9/√3, giving your answer in its simplest form.Rationalise the denominator of 9/sqrt(3), giving your answer in its simplest form.

Use the iteration x(n+1) = cube root of (10x(n) + 4) with x(0) = 3. Work out x(1) to 3 decimal places.

y is inversely proportional to x². When x = 3, y = 64. Work out y when x = 4.y is inversely proportional to x^2. When x = 3, y = 64. Work out y when x = 4.