Daily Practice - Higher Plus

A bag holds 4 red, 3 blue and 3 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 2, 1, 3, 0.5. Which class contains the median?

A block has mass 230 g (to the nearest 10 g) and volume 24 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 230 g (to the nearest 10 g) and volume 24 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Write x² + 16x + 13 in the form (x + a)² + b.Write x^2 + 16x + 13 in the form (x + a)^2 + b.

y is directly proportional to √x. When x = 9, y = 27. Work out y when x = 36.y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 36.