Daily Practice - Higher Plus

On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

A rectangle is 12 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.

Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.

A tram runs at 17 m/s for 20 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.

The point (9, 40) lies on the circle x² + y² = 1681. Work out the gradient of the tangent to the circle at that point.The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.