Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 0.6. How many values in total?

x = 87 and y = 33, each correct to the nearest whole number. Work out the upper bound of x - y.

In an algebraic proof, how would you write a multiple of 9 in terms of an integer n?

y is directly proportional to x². When x = 3, y = 72. Work out the positive value of x when y = 200.y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 200.

The point (8, 15) lies on the circle x² + y² = 289. Work out the gradient of the tangent to the circle at that point.The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.