Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3.5. How many values in total?

A car covers 300 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 + y² = 676 and y = x - 14 simultaneously.Solve x^2 + y^2 = 676 and y = x - 14 simultaneously.

y is directly proportional to x². When x = 2, y = 8. Work out the positive value of x when y = 32.y is directly proportional to x^2. When x = 2, y = 8. Work out the positive value of x when y = 32.

In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.