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 + 5)(6 - 5).Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).

In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 7 in terms of an integer n?

A cyclist speeds up steadily from 8 m/s to 18 m/s over 4 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.