Daily Practice - Higher Plus

A bag holds 6 red, 6 blue and 3 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 ≤ 65 has a frequency density of 1.5. How many values are in that class?On a histogram the bar for 60 < x <= 65 has a frequency density of 1.5. How many values are in that class?

A block has mass 290 g (to the nearest 10 g) and volume 3 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 290 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Work out the nth term of the quadratic sequence 3, 12, 27, 48, ...

y is directly proportional to x³. When x = 2, y = 40. Work out y when x = 4.y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.