Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?

Simplify √45 + √45, giving your answer in the form a √b.Simplify sqrt(45) + sqrt(45), giving your answer in the form a sqrt(b).

Simplify (x² + 11x + 24)/(x + 8).Simplify (x^2 + 11x + 24)/(x + 8).

y is directly proportional to x². When x = 5, y = 125. Work out the positive value of x when y = 180.y is directly proportional to x^2. When x = 5, y = 125. 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.