Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 0.8. How many values in total?

Simplify √80 + √45, giving your answer in the form a √b.Simplify sqrt(80) + sqrt(45), giving your answer in the form a sqrt(b).

In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?

y is directly proportional to x². When x = 6, y = 288. Work out the positive value of x when y = 72.y is directly proportional to x^2. When x = 6, y = 288. Work out the positive value of x when y = 72.

The point (3, 4) lies on the circle x² + y² = 25. Work out the gradient of the tangent to the circle at that point.The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.