Higher Plus

A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 1.4. How many values in total?

x = 75 and y = 12, each correct to the nearest whole number. Work out the upper bound of x - y.

Make x the subject of 5x + 5 = y(x + 5).

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 (12, 16) lies on the circle x² + y² = 400. Work out the gradient of the tangent to the circle at that point.The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.