Higher Plus

The point (10, 24) lies on the circle x² + y² = 676. Work out the gradient of the tangent to the circle at that point.The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.

A bag holds 5 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

Rationalise the denominator of 21/3, giving your answer in its simplest form.Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.

Simplify (x² + 13x + 40)/(x + 5).Simplify (x^2 + 13x + 40)/(x + 5).