Daily Practice - Higher Plus

A bag holds 7 red, 6 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 ≤ 30 has a frequency density of 2.4. How many values are in that class?On a histogram the bar for 20 < x <= 30 has a frequency density of 2.4. How many values are in that class?

Rationalise the denominator of 10/√2, giving your answer in its simplest form.Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.

Work out the coordinates of the turning point of y = x² + 6x + 12.Work out the coordinates of the turning point of y = x^2 + 6x + 12.

y is directly proportional to x³. When x = 2, y = 40. Work out y when x = 5.y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.