Daily Practice - Higher Plus

A bag holds 2 red and n blue counters. The probability of taking a red is 2/9. Work out n.

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

A block has mass 350 g (to the nearest 10 g) and volume 19 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 350 g (to the nearest 10 g) and volume 19 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 (10x(n) + 7) with x(0) = 2. Work out x(1) to 3 decimal places.

y is inversely proportional to x². When x = 4, y = 100. Work out y when x = 5.y is inversely proportional to x^2. When x = 4, y = 100. Work out y when x = 5.