Daily Practice - Higher Plus

A bag holds 5 red, 6 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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

Rationalise the denominator of 8/√2, giving your answer in its simplest form.Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.

Use the iteration x(n+1) = cube root of (7x(n) + 6) with x(0) = 5. Work out x(1) to 3 decimal places.

y is directly proportional to √x. When x = 49, y = 42. Work out y when x = 64.y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 64.