Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 2, one 20 units wide with density 0.8. How many values in total?

A block has mass 660 g (to the nearest 10 g) and volume 6 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 660 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Solve x² + 11x + 24 > 0.Solve x^2 + 11x + 24 > 0.

y is directly proportional to x². When x = 5, y = 175. Work out the positive value of x when y = 567.y is directly proportional to x^2. When x = 5, y = 175. Work out the positive value of x when y = 567.

A cuboid measures 14 cm by 7 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.