Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?

A block has mass 560 g (to the nearest 10 g) and volume 3 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 560 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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

On a velocity-time graph a car speeds up in a straight line from 6 m/s to 13.5 m/s over 5 seconds. Work out the acceleration.

A cuboid measures 8 cm by 12 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.