Daily Practice - 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 7 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 1.4. How many values in total?

Rationalise the denominator of 42/√6, giving your answer in its simplest form.Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.

Simplify (x² + 10x + 16)/(x + 2).Simplify (x^2 + 10x + 16)/(x + 2).