Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 0.6. How many values in total?

A rectangle is 18 cm by 6 cm, each correct to the nearest cm. Work out the upper bound of its area.

The curve y = sin x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 90.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.

y is directly proportional to x². When x = 3, y = 81. Work out the positive value of x when y = 729.y is directly proportional to x^2. When x = 3, y = 81. Work out the positive value of x when y = 729.

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.