Daily Practice - Higher Plus

A bag holds 3 red, 6 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 30 < x ≤ 35 has a frequency density of 3.5. How many values are in that class?On a histogram the bar for 30 < x <= 35 has a frequency density of 3.5. How many values are in that class?

Rationalise the denominator of 14/√7, giving your answer in its simplest form.Rationalise the denominator of 14/sqrt(7), giving your answer in its simplest form.

Use the iteration x(n+1) = cube root of (8x(n) + 6) with x(0) = 3. Work out x(1) to 3 decimal places.

y is directly proportional to x³. When x = 2, y = 48. Work out y when x = 5.y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.