Higher Plus

A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.

A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?

A block has mass 760 g (to the nearest 10 g) and volume 10 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 760 g (to the nearest 10 g) and volume 10 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 = 270.The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.

y is inversely proportional to x². When x = 3, y = 50. Work out y when x = 5.y is inversely proportional to x^2. When x = 3, y = 50. Work out y when x = 5.