Daily Practice - Higher Plus

On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?

Rationalise the denominator of 22/2, giving your answer in its simplest form.Rationalise the denominator of 22/sqrt(2), giving your answer in its simplest form.

The point (-4, 3) lies on y = f(x). Write down its image on y = f(-x).

A cyclist speeds up steadily from 2 m/s to 15 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.