Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?

A car covers 810 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

Simplify (x² - 2x - 24)/(x + 4).Simplify (x^2 - 2x - 24)/(x + 4).

y is directly proportional to x². When x = 5, y = 50. Work out the positive value of x when y = 8.y is directly proportional to x^2. When x = 5, y = 50. Work out the positive value of x when y = 8.

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.