Daily Practice - Higher Plus

A bag holds 5 red, 7 blue and 3 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 1.2. How many values are in that class?On a histogram the bar for 30 < x <= 35 has a frequency density of 1.2. How many values are in that class?

Simplify √72 + √2, giving your answer in the form a √b.Simplify sqrt(72) + sqrt(2), giving your answer in the form a sqrt(b).

Solve x² - 11x + 24 < 0.Solve x^2 - 11x + 24 < 0.

y is directly proportional to x³. When x = 3, y = 54. Work out y when x = 5.y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.