Daily Practice - Higher Plus

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

On a histogram the bar for 20 < x ≤ 25 has a frequency density of 1.2. How many values are in that class?On a histogram the bar for 20 < x <= 25 has a frequency density of 1.2. How many values are in that class?

Rationalise the denominator of 72/√6, giving your answer in its simplest form.Rationalise the denominator of 72/sqrt(6), giving your answer in its simplest form.

Make x the subject of 2x + 8 = y(x + 8).

y is directly proportional to x³. When x = 3, y = 54. Work out y when x = 4.y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.