Daily Practice - Higher Plus

A bag holds 6 red, 3 blue and 5 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 21/√3, giving your answer in its simplest form.Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.

Solve 8x² - 10x - 3 = 0.Solve 8x^2 - 10x - 3 = 0.

y is directly proportional to x³. When x = 2, y = 40. Work out y when x = 3.y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.