Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 3. 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.

Simplify (x² - 2x - 35)/(x + 5).Simplify (x^2 - 2x - 35)/(x + 5).

On a velocity-time graph a car speeds up in a straight line from 7 m/s to 9.5 m/s over 5 seconds. Work out the acceleration.

The point (5, 12) lies on the circle x² + y² = 169. Work out the gradient of the tangent to the circle at that point.The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.