Higher Plus

A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 0.8. How many values in total?

A car covers 340 m (to the nearest 10 m) in 3 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 number two more than an even number in terms of an integer n?

y is directly proportional to x². When x = 3, y = 45. Work out the positive value of x when y = 180.y is directly proportional to x^2. When x = 3, y = 45. Work out the positive value of x when y = 180.

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.