Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 0.8. How many values in total?

Simplify √32 + √2, giving your answer in the form a √b.Simplify sqrt(32) + sqrt(2), giving your answer in the form a sqrt(b).

Solve x² + y² = 676 and y = x + 14 simultaneously.Solve x^2 + y^2 = 676 and y = x + 14 simultaneously.

y is directly proportional to x². When x = 2, y = 36. Work out the positive value of x when y = 576.y is directly proportional to x^2. When x = 2, y = 36. Work out the positive value of x when y = 576.

The point (5, 12) lies on the circle x² + y² = 169. Work out the gradient of the tangent to the circle at that point.The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.