Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.5, one 20 units wide with density 3. How many values in total?

A block has mass 630 g (to the nearest 10 g) and volume 13 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 630 g (to the nearest 10 g) and volume 13 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

The curve y = sin x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 360.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.

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