Higher Plus

On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?

Rationalise the denominator of 24/2, giving your answer in its simplest form.Rationalise the denominator of 24/sqrt(2), giving your answer in its simplest form.

Write 6/(x + 5) + 3/(x + 1) as a single fraction.

A tram runs at 15 m/s for 20 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.

The point (12, 16) lies on the circle x² + y² = 400. Work out the gradient of the tangent to the circle at that point.The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.