Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 3.5. How many values in total?

Rationalise the denominator of 14/√7, giving your answer in its simplest form.Rationalise the denominator of 14/sqrt(7), giving your answer in its simplest form.

Use the iteration x(n+1) = cube root of (10x(n) + 1) with x(0) = 5. Work out x(1) to 3 decimal places.

On a velocity-time graph a car speeds up in a straight line from 2 m/s to 9.5 m/s over 5 seconds. Work out the acceleration.

The point (9, 12) lies on the circle x² + y² = 225. Work out the gradient of the tangent to the circle at that point.The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.