Daily Practice - Higher Plus

A bag holds 3 red and 5 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 0.5, 2, 1, 3. Which class contains the median?

A block has mass 540 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 540 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.

Use the iteration x(n+1) = cube root of (7x(n) + 5) with x(0) = 1. Work out x(1) to 3 decimal places.

y is inversely proportional to x². When x = 3, y = 100. Work out y when x = 5.y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.