Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?

x = 72 and y = 59, each correct to the nearest whole number. Work out the upper bound of x - y.

In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?

y is directly proportional to x². When x = 2, y = 12. Work out the positive value of x when y = 243.y is directly proportional to x^2. When x = 2, y = 12. Work out the positive value of x when y = 243.

The point (6, 8) lies on the circle x² + y² = 100. Work out the gradient of the tangent to the circle at that point.The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.