Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 1.4. How many values in total?

Rationalise the denominator of 121/11, giving your answer in its simplest form.Rationalise the denominator of 121/sqrt(11), giving your answer in its simplest form.

Solve x² + 7x + 10 < 0.Solve x^2 + 7x + 10 < 0.

y is directly proportional to x². When x = 5, y = 150. Work out the positive value of x when y = 294.y is directly proportional to x^2. When x = 5, y = 150. Work out the positive value of x when y = 294.

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.