Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 1.4. How many values in total?

x = 194 and y = 23, each correct to the nearest whole number. Work out the upper bound of x - y.

Simplify (x² + 6x + 8)/(x + 4).Simplify (x^2 + 6x + 8)/(x + 4).

y is directly proportional to x². When x = 3, y = 45. Work out the positive value of x when y = 180.y is directly proportional to x^2. When x = 3, y = 45. Work out the positive value of x when y = 180.

The point (10, 24) lies on the circle x² + y² = 676. Work out the gradient of the tangent to the circle at that point.The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.