Daily Practice - Higher Plus

On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?

Expand and simplify (6 + √6)(6 - √6).Expand and simplify (6 + sqrt(6))(6 - sqrt(6)).

Write x² + 10x + 8 in the form (x + a)² + b.Write x^2 + 10x + 8 in the form (x + a)^2 + b.

A cyclist speeds up steadily from 4 m/s to 13 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.