Daily Practice - Higher Plus

On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

Rationalise the denominator of 25/√5, giving your answer in its simplest form.Rationalise the denominator of 25/sqrt(5), giving your answer in its simplest form.

Write x² + 10x - 4 in the form (x + a)² + b.Write x^2 + 10x - 4 in the form (x + a)^2 + b.

A cyclist speeds up steadily from 9 m/s to 19 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.

The point (12, 16) lies on the circle x² + y² = 400. Work out the gradient of the tangent to the circle at that point.The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.