Daily Practice - Higher Plus

On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?

Rationalise the denominator of 72/6, giving your answer in its simplest form.Rationalise the denominator of 72/sqrt(6), giving your answer in its simplest form.

A quadratic sequence starts 9, 20, 37, 60. Work out the second difference, and the coefficient of n².A quadratic sequence starts 9, 20, 37, 60. Work out the second difference, and the coefficient of n^2.

A cyclist speeds up steadily from 4 m/s to 11 m/s over 10 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.