Higher Plus

A bag holds 5 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 3, 0.5, 2, 1. Which class contains the median?

A block has mass 840 g (to the nearest 10 g) and volume 5 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 840 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

The curve y = sin x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 90.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.

y is inversely proportional to x². When x = 3, y = 108. Work out y when x = 6.y is inversely proportional to x^2. When x = 3, y = 108. Work out y when x = 6.