Higher Plus

On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?

Expand and simplify (2 + 5)(2 - 5).Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).

f(x) = 8x - 12. Work out the inverse function f^-1(x).f(x) = 8x - 12. Work out the inverse function f^-1(x).

A cyclist speeds up steadily from 4 m/s to 11 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (8, 15) lies on the circle x² + y² = 289. Work out the gradient of the tangent to the circle at that point.The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.