Daily Practice - Higher Plus

A bag holds 5 red and 6 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 10 < x ≤ 15 has a frequency density of 0.4. How many values are in that class?On a histogram the bar for 10 < x <= 15 has a frequency density of 0.4. How many values are in that class?

Rationalise the denominator of 6/√2, giving your answer in its simplest form.Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.

Write x² + 8x + 13 in the form (x + a)² + b.Write x^2 + 8x + 13 in the form (x + a)^2 + b.

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.