Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?

x = 58 and y = 5, each correct to the nearest whole number. Work out the upper bound of x - y.

Write x² - 6x - 1 in the form (x + a)² + b.Write x^2 - 6x - 1 in the form (x + a)^2 + b.

y is directly proportional to x². When x = 5, y = 200. Work out the positive value of x when y = 128.y is directly proportional to x^2. When x = 5, y = 200. Work out the positive value of x when y = 128.

The point (7, 24) lies on the circle x² + y² = 625. Work out the gradient of the tangent to the circle at that point.The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.