Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 0.8. How many values in total?

x = 139 and y = 111, each correct to the nearest whole number. Work out the upper bound of x - y.

The point (-1, -4) lies on y = f(x). Write down its image on y = -f(x).

y is directly proportional to x². When x = 5, y = 50. Work out the positive value of x when y = 128.y is directly proportional to x^2. When x = 5, y = 50. Work out the positive value of x when y = 128.

The point (9, 12) lies on the circle x² + y² = 225. Work out the gradient of the tangent to the circle at that point.The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.