Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?

A car covers 880 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.

Solve x² - 2x > 0.Solve x^2 - 2x > 0.

y is directly proportional to x². When x = 2, y = 24. Work out the positive value of x when y = 96.y is directly proportional to x^2. When x = 2, y = 24. Work out the positive value of x when y = 96.

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.