Daily Practice - Higher Plus

On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

Simplify 50 + 18, giving your answer in the form a b.Simplify sqrt(50) + sqrt(18), giving your answer in the form a sqrt(b).

Solve x² - 2x - 15 > 0.Solve x^2 - 2x - 15 > 0.

A cyclist speeds up steadily from 5 m/s to 17 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.