Higher Plus

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

A rectangle is 9 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.

Solve x² + 12x + 35 < 0.Solve x^2 + 12x + 35 < 0.

y is directly proportional to x². When x = 2, y = 12. Work out the positive value of x when y = 243.y is directly proportional to x^2. When x = 2, y = 12. Work out the positive value of x when y = 243.

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.