Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 3.5. How many values in total?

Expand and simplify (2 + 10)(2 - 10).Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).

The point (4, 4) lies on y = f(x). Write down its image on y = f(x - 6).

y is directly proportional to x². When x = 2, y = 20. Work out the positive value of x when y = 80.y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 80.

The point (6, 8) lies on the circle x² + y² = 100. Work out the gradient of the tangent to the circle at that point.The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.