Higher Plus

A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 0.6. How many values in total?

A rectangle is 19 cm by 4 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 = 180.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.

y is directly proportional to x². When x = 3, y = 81. Work out the positive value of x when y = 36.y is directly proportional to x^2. When x = 3, y = 81. Work out the positive value of x when y = 36.

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.