Daily Practice - Higher Plus

A bag holds 7 red and n blue counters. The probability of taking a red is 7/12. Work out n.

On a histogram the bar for 20 < x ≤ 40 has a frequency density of 1.5. How many values are in that class?On a histogram the bar for 20 < x <= 40 has a frequency density of 1.5. How many values are in that class?

A block has mass 740 g (to the nearest 10 g) and volume 18 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 740 g (to the nearest 10 g) and volume 18 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 two consecutive odd numbers in terms of an integer n?

y is directly proportional to x³. When x = 2, y = 40. Work out y when x = 3.y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.