Daily Practice - Higher Plus

A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/36. Work out r.

On a histogram the bar for 0 < x ≤ 10 has a frequency density of 0.4. How many values are in that class?On a histogram the bar for 0 < x <= 10 has a frequency density of 0.4. How many values are in that class?

A block has mass 420 g (to the nearest 10 g) and volume 19 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 420 g (to the nearest 10 g) and volume 19 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 next odd number after 2n + 1 in terms of an integer n?

y is directly proportional to x³. When x = 2, y = 24. Work out y when x = 4.y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.