Daily Practice - Higher Plus

On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?

A block has mass 450 g (to the nearest 10 g) and volume 23 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 450 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?

A cyclist speeds up steadily from 3 m/s to 19 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.

A cuboid measures 4 cm by 10 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.