Daily Practice - Higher Plus

A bag holds 8 red and 3 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 ≤ 20 has a frequency density of 3.5. How many values are in that class?On a histogram the bar for 10 < x <= 20 has a frequency density of 3.5. How many values are in that class?

Rationalise the denominator of 88/√11, giving your answer in its simplest form.Rationalise the denominator of 88/sqrt(11), giving your answer in its simplest form.

Use the iteration x(n+1) = cube root of (6x(n) + 1) with x(0) = 1. Work out x(1) to 3 decimal places.

y is directly proportional to x³. When x = 4, y = 320. Work out y when x = 5.y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.