Daily Practice - Higher Plus

A bag holds 3 red and 6 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, 3, 1. Which class contains the median?

A block has mass 560 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 560 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.

Write x² + 2x + 13 in the form (x + a)² + b.Write x^2 + 2x + 13 in the form (x + a)^2 + b.

y is inversely proportional to x². When x = 5, y = 27. Work out y when x = 3.y is inversely proportional to x^2. When x = 5, y = 27. Work out y when x = 3.