Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 3.5. How many values in total?

A block has mass 860 g (to the nearest 10 g) and volume 18 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 860 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Simplify (x² + 12x + 35)/(x + 5).Simplify (x^2 + 12x + 35)/(x + 5).

y is directly proportional to x². When x = 5, y = 200. Work out the positive value of x when y = 392.y is directly proportional to x^2. When x = 5, y = 200. Work out the positive value of x when y = 392.

A cuboid measures 8 cm by 9 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.