Higher Plus

A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 0.6. How many values in total?

x = 174 and y = 37, each correct to the nearest whole number. Work out the upper bound of x - y.

Solve x² + y² = 676 and y = x - 14 simultaneously.Solve x^2 + y^2 = 676 and y = x - 14 simultaneously.

y is directly proportional to x². When x = 4, y = 80. Work out the positive value of x when y = 180.y is directly proportional to x^2. When x = 4, y = 80. Work out the positive value of x when y = 180.

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.