Daily Practice - Higher Plus

A bag holds 5 red and 8 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 0 < x ≤ 5 has a frequency density of 1.5. How many values are in that class?On a histogram the bar for 0 < x <= 5 has a frequency density of 1.5. How many values are in that class?

A block has mass 500 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 500 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.

f(x) = 3x - 4. Work out the inverse function f^-1(x).f(x) = 3x - 4. Work out the inverse function f^-1(x).

y is directly proportional to x³. When x = 3, y = 54. Work out y when x = 4.y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.