Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 0.8. How many values in total?

A car covers 720 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.

Make x the subject of 7x + 8 = y(x + 8).

y is directly proportional to x². When x = 5, y = 200. Work out the positive value of x when y = 32.y is directly proportional to x^2. When x = 5, y = 200. Work out the positive value of x when y = 32.

In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.