Higher Plus

A bag holds 3 red and 5 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 car covers 140 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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

y is inversely proportional to x². When x = 4, y = 75. Work out y when x = 5.y is inversely proportional to x^2. When x = 4, y = 75. Work out y when x = 5.