Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?

Rationalise the denominator of 66/√11, giving your answer in its simplest form.Rationalise the denominator of 66/sqrt(11), giving your answer in its simplest form.

f(x) = 4x - 11. Work out the inverse function f^-1(x).f(x) = 4x - 11. Work out the inverse function f^-1(x).

On a velocity-time graph a car speeds up in a straight line from 2 m/s to 52 m/s over 20 seconds. Work out the acceleration.

The point (20, 21) lies on the circle x² + y² = 841. Work out the gradient of the tangent to the circle at that point.The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.