Daily Practice - Higher Plus

A bag holds 5 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 ≤ 60 has a frequency density of 2.4. How many values are in that class?On a histogram the bar for 40 < x <= 60 has a frequency density of 2.4. How many values are in that class?

Rationalise the denominator of 27/√3, giving your answer in its simplest form.Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.

The curve y = cos x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 360.The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.

y is directly proportional to x³. When x = 4, y = 384. Work out y when x = 5.y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.