Daily Practice - Higher Plus

On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

A rectangle is 8 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.

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

A cyclist speeds up steadily from 3 m/s to 16 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (7, 24) lies on the circle x² + y² = 625. Work out the gradient of the tangent to the circle at that point.The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.