Higher Plus

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

x = 167 and y = 24, each correct to the nearest whole number. Work out the upper bound of x - y.

Solve x² + 4x - 5 > 0.Solve x^2 + 4x - 5 > 0.

y is directly proportional to x². When x = 4, y = 96. Work out the positive value of x when y = 96.y is directly proportional to x^2. When x = 4, y = 96. Work out the positive value of x when y = 96.

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.