Daily Practice - Higher Plus

A bag holds 5 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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

A block has mass 220 g (to the nearest 10 g) and volume 3 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 220 g (to the nearest 10 g) and volume 3 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 (5x(n) + 2) with x(0) = 2. Work out x(1) to 3 decimal places.

y is inversely proportional to x². When x = 4, y = 12. Work out y when x = 2.y is inversely proportional to x^2. When x = 4, y = 12. Work out y when x = 2.