Higher Plus

A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. Work out n.

A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 1, 2. Which class contains the median?

A block has mass 830 g (to the nearest 10 g) and volume 16 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 830 g (to the nearest 10 g) and volume 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.

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