Higher Plus

A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.

On a histogram the bar for 60 < x ≤ 70 has a frequency density of 1.5. How many values are in that class?On a histogram the bar for 60 < x <= 70 has a frequency density of 1.5. How many values are in that class?

A block has mass 830 g (to the nearest 10 g) and volume 8 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 830 g (to the nearest 10 g) and volume 8 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 three consecutive integers in terms of an integer n?

y is directly proportional to x³. When x = 4, y = 320. Work out y when x = 2.y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.