Higher Plus

A bag holds 4 red and n blue counters. The probability of taking a red is 4/11. Work out n.

On a histogram the bar for 20 < x ≤ 40 has a frequency density of 1.2. How many values are in that class?On a histogram the bar for 20 < x <= 40 has a frequency density of 1.2. How many values are in that class?

A block has mass 770 g (to the nearest 10 g) and volume 6 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 770 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.

y is directly proportional to x³. When x = 3, y = 108. Work out y when x = 5.y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.