Daily Practice - Higher Plus

A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.

A histogram has four 20-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?

A block has mass 900 g (to the nearest 10 g) and volume 14 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 14 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 square of an odd number in terms of an integer n?

y is inversely proportional to x². When x = 5, y = 27. Work out y when x = 3.y is inversely proportional to x^2. When x = 5, y = 27. Work out y when x = 3.