Daily Practice - Higher Plus

A bag holds 3 red, 5 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 50 < x ≤ 60 has a frequency density of 1.2. How many values are in that class?On a histogram the bar for 50 < x <= 60 has a frequency density of 1.2. How many values are in that class?

Rationalise the denominator of 6/√3, giving your answer in its simplest form.Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.

f(x) = 2x - 1. Work out the inverse function f^-1(x).f(x) = 2x - 1. Work out the inverse function f^-1(x).

A train slows steadily from 31 m/s to rest in 10 seconds. Work out its deceleration.