Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2.5, one 10 units wide with density 3. How many values in total?

Rationalise the denominator of 42/6, giving your answer in its simplest form.Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.

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

y is directly proportional to x². When x = 3, y = 72. Work out the positive value of x when y = 72.y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 72.

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.