Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 1.4. How many values in total?

A block has mass 400 g (to the nearest 10 g) and volume 16 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 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Write x² - 6x - 8 in the form (x + a)² + b.Write x^2 - 6x - 8 in the form (x + a)^2 + b.

y is directly proportional to x². When x = 2, y = 32. Work out the positive value of x when y = 648.y is directly proportional to x^2. When x = 2, y = 32. Work out the positive value of x when y = 648.

A cuboid measures 7 cm by 4 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.