Daily Practice - Higher Plus

A bag holds 2 red and n blue counters. The probability of taking a red is 1/5. Work out n.

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?

A block has mass 780 g (to the nearest 10 g) and volume 23 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 780 g (to the nearest 10 g) and volume 23 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 + 12x + 9.Work out the coordinates of the turning point of y = x^2 + 12x + 9.

y is directly proportional to x³. When x = 2, y = 32. Work out y when x = 4.y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.