Daily Practice - Higher Plus

On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

Rationalise the denominator of 36/√3, giving your answer in its simplest form.Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.

Solve x² - 2x > 0.Solve x^2 - 2x > 0.

A cyclist speeds up steadily from 6 m/s to 10 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (7, 24) lies on the circle x² + y² = 625. Work out the gradient of the tangent to the circle at that point.The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.