Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?

A block has mass 400 g (to the nearest 10 g) and volume 21 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 400 g (to the nearest 10 g) and volume 21 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 (5x(n) + 1) with x(0) = 2. Work out x(1) to 3 decimal places.

y is directly proportional to x². When x = 5, y = 225. Work out the positive value of x when y = 576.y is directly proportional to x^2. When x = 5, y = 225. Work out the positive value of x when y = 576.

In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.