Higher Plus

On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

Rationalise the denominator of 10/2, giving your answer in its simplest form.Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.

f(x) = 5x - 12. Work out the inverse function f^-1(x).f(x) = 5x - 12. Work out the inverse function f^-1(x).

A cyclist speeds up steadily from 2 m/s to 17 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (10, 24) lies on the circle x² + y² = 676. Work out the gradient of the tangent to the circle at that point.The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.