Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 1.4. How many values in total?

A rectangle is 17 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.

The point (2, 1) lies on y = f(x). Write down its image on y = f(x) - 2.

y is directly proportional to x². When x = 2, y = 20. Work out the positive value of x when y = 405.y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 405.

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.