Daily Practice - Higher Plus

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

y is directly proportional to x². When x = 5, y = 200. Work out the positive value of x when y = 288.y is directly proportional to x^2. When x = 5, y = 200. Work out the positive value of x when y = 288.

The point (9, 12) lies on the circle x² + y² = 225. Work out the gradient of the tangent to the circle at that point.The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.

A bag holds 5 red, 4 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 2.5, one 5 units wide with density 3.5. How many values in total?