Daily Practice - Higher Plus

A bag holds 7 red and n blue counters. The probability of taking a red is 7/9. Work out n.

On a histogram the bar for 20 < x ≤ 30 has a frequency density of 3.5. How many values are in that class?On a histogram the bar for 20 < x <= 30 has a frequency density of 3.5. How many values are in that class?

A block has mass 350 g (to the nearest 10 g) and volume 5 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 350 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Solve x² + x - 6 < 0.Solve x^2 + x - 6 < 0.

y is directly proportional to x³. When x = 4, y = 384. Work out y when x = 2.y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.