Daily Practice - Higher Plus

A bag holds 6 red, 6 blue and 6 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 ≤ 5 has a frequency density of 1.2. How many values are in that class?On a histogram the bar for 0 < x <= 5 has a frequency density of 1.2. How many values are in that class?

A block has mass 620 g (to the nearest 10 g) and volume 13 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 620 g (to the nearest 10 g) and volume 13 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

f(x) = 5x + 8. Work out the inverse function f^-1(x).f(x) = 5x + 8. Work out the inverse function f^-1(x).

A train slows steadily from 32 m/s to rest in 10 seconds. Work out its deceleration.