Daily Practice - Higher Plus

A bag holds 5 red and 3 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, 3, 1. Which class contains the median?

A block has mass 840 g (to the nearest 10 g) and volume 18 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 18 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 = 180.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.

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