Daily Practice - Higher Plus

A bag holds 3 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 60 < x ≤ 70 has a frequency density of 1.5. How many values are in that class?On a histogram the bar for 60 < x <= 70 has a frequency density of 1.5. How many values are in that class?

Rationalise the denominator of 18/√3, giving your answer in its simplest form.Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.

Solve x² + y² = 169 and y = x - 7 simultaneously.Solve x^2 + y^2 = 169 and y = x - 7 simultaneously.

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