Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 1.4. How many values in total?

A block has mass 840 g (to the nearest 10 g) and volume 24 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 840 g (to the nearest 10 g) and volume 24 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Work out the coordinates of the turning point of y = x² + 16x - 12.Work out the coordinates of the turning point of y = x^2 + 16x - 12.

y is directly proportional to x². When x = 4, y = 80. Work out the positive value of x when y = 405.y is directly proportional to x^2. When x = 4, y = 80. Work out the positive value of x when y = 405.

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