Daily Practice - Higher Plus

A bag holds 7 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 3, 1, 2, 0.5. Which class contains the median?

A block has mass 710 g (to the nearest 10 g) and volume 11 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 710 g (to the nearest 10 g) and volume 11 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 (12x(n) + 8) with x(0) = 1. Work out x(1) to 3 decimal places.

y is directly proportional to √x. When x = 36, y = 24. Work out y when x = 25.y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 25.