Daily Practice - Higher Plus

A bag holds 4 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?

Rationalise the denominator of 49/√7, giving your answer in its simplest form.Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.

The curve y = cos x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 0.The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.

y is inversely proportional to x². When x = 3, y = 16. Work out y when x = 4.y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 4.