Higher Plus

On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?

A rectangle is 22 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.

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

A tram runs at 9 m/s for 10 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.

The point (6, 8) lies on the circle x² + y² = 100. Work out the gradient of the tangent to the circle at that point.The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.