Daily Practice - Higher Plus

A bag holds 5 red and n blue counters. The probability of taking a red is 5/9. Work out n.

A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?

A block has mass 260 g (to the nearest 10 g) and volume 9 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 260 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

f(x) = 8x - 5. Work out the inverse function f^-1(x).f(x) = 8x - 5. Work out the inverse function f^-1(x).

y is directly proportional to √x. When x = 49, y = 14. Work out y when x = 9.y is directly proportional to sqrt(x). When x = 49, y = 14. Work out y when x = 9.