Daily Practice - Higher Plus

A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 1.4. How many values in total?

A block has mass 790 g (to the nearest 10 g) and volume 23 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 790 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?

y is directly proportional to x². When x = 5, y = 200. Work out the positive value of x when y = 288.y is directly proportional to x^2. When x = 5, y = 200. Work out the positive value of x when y = 288.

The point (8, 15) lies on the circle x² + y² = 289. Work out the gradient of the tangent to the circle at that point.The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.