Daily Practice - Higher Plus

A bag holds 4 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 10 < x ≤ 15 has a frequency density of 1.2. How many values are in that class?On a histogram the bar for 10 < x <= 15 has a frequency density of 1.2. How many values are in that class?

Rationalise the denominator of 18/2, giving your answer in its simplest form.Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.

In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?

y is directly proportional to x³. When x = 4, y = 256. Work out y when x = 5.y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 5.