Daily Practice - Higher Plus

A bag holds 10 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?

A block has mass 730 g (to the nearest 10 g) and volume 20 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 730 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

f(x) = 3x + 1. Work out the inverse function f^-1(x).f(x) = 3x + 1. Work out the inverse function f^-1(x).

y is directly proportional to √x. When x = 25, y = 35. Work out y when x = 16.y is directly proportional to sqrt(x). When x = 25, y = 35. Work out y when x = 16.