Daily Practice - Higher Plus

A bag holds 4 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

On a histogram the bar for 40 < x ≤ 45 has a frequency density of 0.4. How many values are in that class?On a histogram the bar for 40 < x <= 45 has a frequency density of 0.4. How many values are in that class?

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

A quadratic sequence starts 3, 5, 9, 15. Work out the second difference, and the coefficient of n².A quadratic sequence starts 3, 5, 9, 15. Work out the second difference, and the coefficient of n^2.

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.