Higher Plus

A bag holds 7 red, 7 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

On a histogram the bar for 60 < x ≤ 70 has a frequency density of 1.2. How many values are in that class?On a histogram the bar for 60 < x <= 70 has a frequency density of 1.2. How many values are in that class?

A block has mass 260 g (to the nearest 10 g) and volume 16 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 260 g (to the nearest 10 g) and volume 16 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 = 16. Work out y when x = 5.y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.