Daily Practice - Higher Plus

Solve x² + 12x + 35 > 0.Solve x^2 + 12x + 35 > 0.

y is directly proportional to x². When x = 2, y = 16. Work out the positive value of x when y = 100.y is directly proportional to x^2. When x = 2, y = 16. Work out the positive value of x when y = 100.

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 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 1.2, one 5 units wide with density 3.5. How many values in total?