Daily Practice - Higher Plus

A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 7/12. Work out r.

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

Rationalise the denominator of 27/√3, giving your answer in its simplest form.Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.

Solve x² + y² = 676 and y = x + 14 simultaneously.Solve x^2 + y^2 = 676 and y = x + 14 simultaneously.

y is directly proportional to √x. When x = 9, y = 9. Work out y when x = 36.y is directly proportional to sqrt(x). When x = 9, y = 9. Work out y when x = 36.