Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 0.6. How many values in total?

A block has mass 420 g (to the nearest 10 g) and volume 7 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 420 g (to the nearest 10 g) and volume 7 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 (10x(n) + 5) with x(0) = 2. Work out x(1) to 3 decimal places.

y is directly proportional to x². When x = 5, y = 175. Work out the positive value of x when y = 343.y is directly proportional to x^2. When x = 5, y = 175. Work out the positive value of x when y = 343.

A cuboid measures 6 cm by 9 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.