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 6 red, 6 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 1.5, one 20 units wide with density 0.6. How many values in total?

Rationalise the denominator of 14/2, giving your answer in its simplest form.Rationalise the denominator of 14/sqrt(2), giving your answer in its simplest form.

The point (2, 6) lies on y = f(x). Write down its image on y = f(x) - 5.