Daily Practice - Higher Plus

The point (12, 16) lies on the circle x² + y² = 400. Work out the gradient of the tangent to the circle at that point.The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.

A bag holds 3 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 3.5. How many values in total?

Rationalise the denominator of 21/7, giving your answer in its simplest form.Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.

Solve x² + y² = 169 and y = x - 7 simultaneously.Solve x^2 + y^2 = 169 and y = x - 7 simultaneously.