Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?

A car covers 280 m (to the nearest 10 m) in 8 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 three consecutive integers in terms of an integer n?

y is directly proportional to x². When x = 2, y = 20. Work out the positive value of x when y = 80.y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 80.

The point (10, 24) lies on the circle x² + y² = 676. Work out the gradient of the tangent to the circle at that point.The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.