Higher Plus

A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 3.5. How many values in total?

A block has mass 370 g (to the nearest 10 g) and volume 7 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 370 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

The curve y = cos x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 180.The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.

y is directly proportional to x². When x = 2, y = 32. Work out the positive value of x when y = 32.y is directly proportional to x^2. When x = 2, y = 32. Work out the positive value of x when y = 32.

In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.