Daily Practice - 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 7 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

x = 52 and y = 30, each correct to the nearest whole number. Work out the upper bound of x - y.

f(x) = 7x - 1. Work out the inverse function f^-1(x).f(x) = 7x - 1. Work out the inverse function f^-1(x).