Daily Practice - Higher Plus

A bag holds 4 red and 10 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 0 < x ≤ 5 has a frequency density of 1.2. How many values are in that class?On a histogram the bar for 0 < x <= 5 has a frequency density of 1.2. How many values are in that class?

Simplify √45 + √245, giving your answer in the form a √b.Simplify sqrt(45) + sqrt(245), giving your answer in the form a sqrt(b).

Work out the coordinates of the turning point of y = x² + 10x - 12.Work out the coordinates of the turning point of y = x^2 + 10x - 12.

y is directly proportional to x³. When x = 3, y = 81. Work out y when x = 2.y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.