Daily Practice - Higher Plus

A bag holds 4 red, 6 blue and 5 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 ≤ 40 has a frequency density of 2.4. How many values are in that class?On a histogram the bar for 30 < x <= 40 has a frequency density of 2.4. How many values are in that class?

Expand and simplify (6 + √2)(6 - √2).Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).

Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.

y is directly proportional to x³. When x = 3, y = 108. Work out y when x = 5.y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.