Daily Practice - Higher Plus

A bag holds 3 red and 5 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 40 < x ≤ 45 has a frequency density of 3.5. How many values are in that class?On a histogram the bar for 40 < x <= 45 has a frequency density of 3.5. How many values are in that class?

A block has mass 350 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 350 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.

Write x² + 6x - 7 in the form (x + a)² + b.Write x^2 + 6x - 7 in the form (x + a)^2 + b.

y is directly proportional to x³. When x = 2, y = 16. Work out y when x = 5.y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.