Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 0.6. How many values in total?

A car covers 240 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

Make x the subject of 6x + 4 = y(x + 4).

y is directly proportional to x². When x = 3, y = 72. Work out the positive value of x when y = 32.y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 32.

The point (7, 24) lies on the circle x² + y² = 625. Work out the gradient of the tangent to the circle at that point.The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.