Daily Practice - Higher Plus

A bag holds 3 red and 11 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 1, 3. Which class contains the median?

A block has mass 580 g (to the nearest 10 g) and volume 6 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 580 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Solve x² + y² = 841 and y = x - 1 simultaneously.Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.

y is inversely proportional to x². When x = 5, y = 18. Work out y when x = 3.y is inversely proportional to x^2. When x = 5, y = 18. Work out y when x = 3.