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 6 red, 3 blue and 2 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 2.5, one 25 units wide with density 0.8. How many values in total?

Expand and simplify (5 + √2)(5 - √2).Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).

Solve x² + y² = 25 and y = x + 1 simultaneously.Solve x^2 + y^2 = 25 and y = x + 1 simultaneously.