Daily Practice - Higher Plus

A bag holds 9 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

On a histogram the bar for 30 < x ≤ 50 has a frequency density of 3.5. How many values are in that class?On a histogram the bar for 30 < x <= 50 has a frequency density of 3.5. How many values are in that class?

A block has mass 240 g (to the nearest 10 g) and volume 23 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 240 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

f(x) = 6x + 6 and g(x) = 5x + 4. Work out fg(6).

y is directly proportional to x³. When x = 4, y = 192. Work out y when x = 2.y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.