Daily Practice - Higher Plus

A bag holds 2 red and n blue counters. The probability of taking a red is 1/2. Work out n.

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 54/√6, giving your answer in its simplest form.Rationalise the denominator of 54/sqrt(6), 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 = 72. Work out y when x = 6.y is inversely proportional to x^2. When x = 5, y = 72. Work out y when x = 6.