Daily Practice - Higher Plus

A bag holds 5 red, 3 blue and 2 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 1, 3, 0.5, 2. Which class contains the median?

Expand and simplify (6 + √6)(6 - √6).Expand and simplify (6 + sqrt(6))(6 - sqrt(6)).

Simplify (x² - 13x + 40)/(x - 8).Simplify (x^2 - 13x + 40)/(x - 8).

y is inversely proportional to x². When x = 5, y = 32. Work out y when x = 4.y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.