Daily Practice - Higher Plus

A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 2/11. Work out r.

On a histogram the bar for 30 < x ≤ 35 has a frequency density of 1.5. How many values are in that class?On a histogram the bar for 30 < x <= 35 has a frequency density of 1.5. How many values are in that class?

A block has mass 550 g (to the nearest 10 g) and volume 10 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 550 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Solve x² + y² = 100 and y = x - 2 simultaneously.Solve x^2 + y^2 = 100 and y = x - 2 simultaneously.

y is directly proportional to x³. When x = 3, y = 135. Work out y when x = 2.y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 2.