Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 0.8. How many values in total?

x = 84 and y = 23, each correct to the nearest whole number. Work out the upper bound of x - y.

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 = 6, y = 252. Work out the positive value of x when y = 63.y is directly proportional to x^2. When x = 6, y = 252. Work out the positive value of x when y = 63.

The point (12, 16) lies on the circle x² + y² = 400. Work out the gradient of the tangent to the circle at that point.The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.