Daily Practice - Higher Plus

A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?

x = 90 and y = 45, each correct to the nearest whole number. Work out the upper bound of x - y.

Use the iteration x(n+1) = cube root of (8x(n) + 7) with x(0) = 1. Work out x(1) to 3 decimal places.

y is directly proportional to x². When x = 4, y = 112. Work out the positive value of x when y = 448.y is directly proportional to x^2. When x = 4, y = 112. Work out the positive value of x when y = 448.

The point (6, 8) lies on the circle x² + y² = 100. Work out the gradient of the tangent to the circle at that point.The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.