Daily Practice - Higher Plus

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

Rationalise the denominator of 24/√3, giving your answer in its simplest form.Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.

Solve x² + y² = 625 and y = x + 17 simultaneously.Solve x^2 + y^2 = 625 and y = x + 17 simultaneously.

y is inversely proportional to x². When x = 5, y = 108. Work out y when x = 6.y is inversely proportional to x^2. When x = 5, y = 108. Work out y when x = 6.