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 5 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

A histogram has two bars: one 20 units wide with frequency density 1.2, one 20 units wide with density 1.4. How many values in total?

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 = 676 and y = x - 14 simultaneously.Solve x^2 + y^2 = 676 and y = x - 14 simultaneously.