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?

On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

Rationalise the denominator of 121/√11, giving your answer in its simplest form.Rationalise the denominator of 121/sqrt(11), giving your answer in its simplest form.

A quadratic sequence starts 5, 21, 45, 77. Work out the second difference, and the coefficient of n².A quadratic sequence starts 5, 21, 45, 77. Work out the second difference, and the coefficient of n^2.