Daily Practice - Higher Plus

A bag holds 7 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

On a histogram the bar for 0 < x ≤ 20 has a frequency density of 1.5. How many values are in that class?On a histogram the bar for 0 < x <= 20 has a frequency density of 1.5. How many values are in that class?

A block has mass 320 g (to the nearest 10 g) and volume 22 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 320 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.

y is directly proportional to x³. When x = 2, y = 48. Work out y when x = 4.y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 4.