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, 7 blue and 6 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, one 5 units wide with density 0.8. How many values in total?

Simplify √8 + √32, giving your answer in the form a √b.Simplify sqrt(8) + sqrt(32), giving your answer in the form a sqrt(b).

f(x) = 7x + 5. Work out the inverse function f^-1(x).f(x) = 7x + 5. Work out the inverse function f^-1(x).