Daily Practice - Higher Plus

A bag holds 3 red, 4 blue and 4 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 ≤ 45 has a frequency density of 1.2. How many values are in that class?On a histogram the bar for 40 < x <= 45 has a frequency density of 1.2. How many values are in that class?

A block has mass 870 g (to the nearest 10 g) and volume 9 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 870 g (to the nearest 10 g) and volume 9 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 = 256. Work out y when x = 3.y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.