Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 0.8. 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.

In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?

y is directly proportional to x². When x = 5, y = 100. Work out the positive value of x when y = 64.y is directly proportional to x^2. When x = 5, y = 100. Work out the positive value of x when y = 64.

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