Daily Practice - Higher Plus

A bag holds 7 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 10 < x ≤ 15 has a frequency density of 2.4. How many values are in that class?On a histogram the bar for 10 < x <= 15 has a frequency density of 2.4. How many values are in that class?

Simplify √27 + √3, giving your answer in the form a √b.Simplify sqrt(27) + sqrt(3), giving your answer in the form a sqrt(b).

Write x² + 4x + 7 in the form (x + a)² + b.Write x^2 + 4x + 7 in the form (x + a)^2 + b.

y is directly proportional to x³. When x = 3, y = 135. Work out y when x = 5.y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.