Daily Practice - 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?

Rationalise the denominator of 60/√6, giving your answer in its simplest form.Rationalise the denominator of 60/sqrt(6), giving your answer in its simplest form.

In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?

A cyclist speeds up steadily from 2 m/s to 17 m/s over 8 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.