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 60 < x ≤ 80 has a frequency density of 2.4. How many values are in that class?On a histogram the bar for 60 < x <= 80 has a frequency density of 2.4. How many values are in that class?

Expand and simplify (2 + √3)(2 - √3).Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).

Solve x² + y² = 100 and y = x + 2 simultaneously.Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.

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.