Daily Practice - Higher Plus

The probability of winning a game is 7/8. A player expects 28 wins. How many games did they play?

On a histogram the bar for 30 < x ≤ 40 has a frequency density of 3.5. How many values are in that class?On a histogram the bar for 30 < x <= 40 has a frequency density of 3.5. How many values are in that class?

A block has mass 480 g (to the nearest 10 g) and volume 10 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 480 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Solve x² + y² = 676 and y = x + 14 simultaneously.Solve x^2 + y^2 = 676 and y = x + 14 simultaneously.

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.