Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 0.8. How many values in total?

Simplify √32 + √32, giving your answer in the form a √b.Simplify sqrt(32) + sqrt(32), giving your answer in the form a sqrt(b).

Solve x² - 3x - 10 > 0.Solve x^2 - 3x - 10 > 0.

y is directly proportional to x². When x = 3, y = 72. Work out the positive value of x when y = 288.y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 288.

The point (12, 16) lies on the circle x² + y² = 400. Work out the gradient of the tangent to the circle at that point.The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.