Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 1.2, one 25 units wide with density 3. How many values in total?

A car covers 720 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

Solve x² + y² = 25 and y = x - 1 simultaneously.Solve x^2 + y^2 = 25 and y = x - 1 simultaneously.

y is directly proportional to x². When x = 4, y = 128. Work out the positive value of x when y = 128.y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 128.

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.