Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 0.6. How many values in total?

A car covers 740 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

Solve x² - x - 6 < 0.Solve x^2 - x - 6 < 0.

y is directly proportional to x². When x = 2, y = 36. Work out the positive value of x when y = 81.y is directly proportional to x^2. When x = 2, y = 36. Work out the positive value of x when y = 81.

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.