Daily Practice - Higher Plus

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.

A bag holds 6 red, 7 blue and 2 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 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

Rationalise the denominator of 60/√6, giving your answer in its simplest form.Rationalise the denominator of 60/sqrt(6), giving your answer in its simplest form.

Solve x² + y² = 225 and y = x - 3 simultaneously.Solve x^2 + y^2 = 225 and y = x - 3 simultaneously.