Daily Practice - Higher Plus

A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?

A rectangle is 29 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.

Write x² - 12x + 7 in the form (x + a)² + b.Write x^2 - 12x + 7 in the form (x + a)^2 + b.

y is directly proportional to x². When x = 5, y = 150. Work out the positive value of x when y = 54.y is directly proportional to x^2. When x = 5, y = 150. Work out the positive value of x when y = 54.

The point (20, 21) lies on the circle x² + y² = 841. Work out the gradient of the tangent to the circle at that point.The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.