Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 3.5. How many values in total?

A rectangle is 24 cm by 25 cm, each correct to the nearest cm. Work out the upper bound of its area.

Solve x² + y² = 100 and y = x - 2 simultaneously.Solve x^2 + y^2 = 100 and y = x - 2 simultaneously.

y is directly proportional to x². When x = 5, y = 100. Work out the positive value of x when y = 196.y is directly proportional to x^2. When x = 5, y = 100. Work out the positive value of x when y = 196.

The point (9, 40) lies on the circle x² + y² = 1681. Work out the gradient of the tangent to the circle at that point.The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.