Daily Practice - Higher Plus

A bag holds 4 red, 7 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

On a histogram the bar for 60 < x ≤ 80 has a frequency density of 2.4. How many values are in that class?On a histogram the bar for 60 < x <= 80 has a frequency density of 2.4. How many values are in that class?

A block has mass 670 g (to the nearest 10 g) and volume 14 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 670 g (to the nearest 10 g) and volume 14 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Work out the coordinates of the turning point of y = x² + 6x + 12.Work out the coordinates of the turning point of y = x^2 + 6x + 12.

y is directly proportional to x³. When x = 3, y = 81. Work out y when x = 4.y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 4.