Higher Plus

A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 3. How many values in total?

A block has mass 360 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 360 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.

Use the iteration x(n+1) = cube root of (2x(n) + 5) with x(0) = 1. Work out x(1) to 3 decimal places.

y is directly proportional to x². When x = 2, y = 20. Work out the positive value of x when y = 80.y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 80.

In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.