Daily Practice - Higher Plus

On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

A block has mass 210 g (to the nearest 10 g) and volume 22 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 210 g (to the nearest 10 g) and volume 22 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.

A cyclist speeds up steadily from 8 m/s to 22 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.

In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.