Daily Practice - Higher Plus

A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.

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

Rationalise the denominator of 6/√3, giving your answer in its simplest form.Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.

Simplify (x² + x - 20)/(x - 4).Simplify (x^2 + x - 20)/(x - 4).

y is inversely proportional to x². When x = 4, y = 18. Work out y when x = 3.y is inversely proportional to x^2. When x = 4, y = 18. Work out y when x = 3.