Higher Plus

A histogram has two bars: one 20 units wide with frequency density 1.2, one 20 units wide with density 3.5. How many values in total?

A block has mass 900 g (to the nearest 10 g) and volume 15 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 900 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

f(x) = 2x - 3 and g(x) = 6x + 6. Work out fg(-1).

y is directly proportional to x². When x = 2, y = 12. Work out the positive value of x when y = 147.y is directly proportional to x^2. When x = 2, y = 12. Work out the positive value of x when y = 147.

The point (3, 4) lies on the circle x² + y² = 25. Work out the gradient of the tangent to the circle at that point.The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.