Daily Practice - Higher Plus

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

Simplify √75 + √12, giving your answer in the form a √b.Simplify sqrt(75) + sqrt(12), giving your answer in the form a sqrt(b).

The point (2, 4) lies on y = f(x). Write down its image on y = f(x) + 3.

y is directly proportional to x². When x = 3, y = 45. Work out the positive value of x when y = 405.y is directly proportional to x^2. When x = 3, y = 45. Work out the positive value of x when y = 405.

The point (9, 40) lies on the circle x² + y² = 1681. Work out the gradient of the tangent to the circle at that point.The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.