Daily Practice - Higher Plus

A bag holds 4 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

On a histogram the bar for 20 < x ≤ 25 has a frequency density of 0.4. How many values are in that class?On a histogram the bar for 20 < x <= 25 has a frequency density of 0.4. How many values are in that class?

Rationalise the denominator of 110/√11, giving your answer in its simplest form.Rationalise the denominator of 110/sqrt(11), giving your answer in its simplest form.

Solve x² - x < 0.Solve x^2 - x < 0.

y is directly proportional to x³. When x = 3, y = 108. Work out y when x = 4.y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.