Daily Practice - Higher Plus

A bag holds 7 red, 4 blue and 2 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 2, 0.5, 1, 3. Which class contains the median?

A block has mass 680 g (to the nearest 10 g) and volume 12 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 680 g (to the nearest 10 g) and volume 12 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Write x² + 2x + 1 in the form (x + a)² + b.Write x^2 + 2x + 1 in the form (x + a)^2 + b.

y is inversely proportional to x². When x = 3, y = 100. Work out y when x = 5.y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.