Higher Plus

A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 0.8. How many values in total?

A block has mass 500 g (to the nearest 10 g) and volume 8 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 500 g (to the nearest 10 g) and volume 8 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 (11x(n) + 3) with x(0) = 5. Work out x(1) to 3 decimal places.

y is directly proportional to x². When x = 3, y = 72. Work out the positive value of x when y = 72.y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 72.

A cuboid measures 9 cm by 7 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.