Daily Practice - Higher Plus

The point (6, 8) lies on the circle x² + y² = 100. Work out the gradient of the tangent to the circle at that point.The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.

A bag holds 5 red, 7 blue and 4 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 2.5, one 10 units wide with density 1.4. How many values in total?

Rationalise the denominator of 56/7, giving your answer in its simplest form.Rationalise the denominator of 56/sqrt(7), giving your answer in its simplest form.

Simplify (x² - 36)/(x + 6).Simplify (x^2 - 36)/(x + 6).