Daily Practice - Higher Plus

A bag holds 5 red, 3 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

On a histogram the bar for 50 < x ≤ 60 has a frequency density of 3.5. How many values are in that class?On a histogram the bar for 50 < x <= 60 has a frequency density of 3.5. How many values are in that class?

Rationalise the denominator of 48/√6, giving your answer in its simplest form.Rationalise the denominator of 48/sqrt(6), giving your answer in its simplest form.

Write x² - 10x - 12 in the form (x + a)² + b.Write x^2 - 10x - 12 in the form (x + a)^2 + b.

y is directly proportional to x³. When x = 3, y = 135. Work out y when x = 4.y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.