Daily Practice - Higher Plus

y is inversely proportional to x². When x = 2, y = 9. Work out y when x = 3.y is inversely proportional to x^2. When x = 2, y = 9. Work out y when x = 3.

A triangle has sides of 7 cm and 17 cm with an angle of 59° between them. Work out the third side, to 1 decimal place.

A bag holds 6 red, 3 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 20-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?

A block has mass 550 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 550 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.