Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 1.4. How many values in total?

Simplify 80 + 5, giving your answer in the form a b.Simplify sqrt(80) + sqrt(5), giving your answer in the form a sqrt(b).

Write x² - 8x - 12 in the form (x + a)² + b.Write x^2 - 8x - 12 in the form (x + a)^2 + b.

y is directly proportional to x². When x = 3, y = 54. Work out the positive value of x when y = 150.y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 150.

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.