Daily Practice - Higher Plus

On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?

A block has mass 200 g (to the nearest 10 g) and volume 9 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 200 g (to the nearest 10 g) and volume 9 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 = 270.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.

A cyclist speeds up steadily from 9 m/s to 14 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.

A cuboid measures 11 cm by 12 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.