Daily Practice - Higher Plus

A bag holds 6 red, 7 blue and 4 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 1.5. How many values are in that class?On a histogram the bar for 40 < x <= 45 has a frequency density of 1.5. How many values are in that class?

Expand and simplify (3 + √6)(3 - √6).Expand and simplify (3 + sqrt(6))(3 - sqrt(6)).

Solve x² + y² = 841 and y = x - 1 simultaneously.Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.

y is directly proportional to x³. When x = 4, y = 192. Work out y when x = 5.y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.