Daily Practice - Higher Plus

A bag holds 4 red and 4 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 10 < x ≤ 20 has a frequency density of 1.5. How many values are in that class?On a histogram the bar for 10 < x <= 20 has a frequency density of 1.5. How many values are in that class?

A block has mass 260 g (to the nearest 10 g) and volume 5 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 260 g (to the nearest 10 g) and volume 5 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 a multiple of 9 in terms of an integer n?

y is directly proportional to x³. When x = 3, y = 54. Work out y when x = 5.y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.