Daily Practice - Higher Plus

A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 1/55. Work out r.

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

A block has mass 850 g (to the nearest 10 g) and volume 11 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 850 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

The point (-5, -6) lies on y = f(x). Write down its image on y = -f(x).

y is inversely proportional to x². When x = 2, y = 100. Work out y when x = 5.y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.