Daily Practice - Higher Plus

A bag holds 5 red and 8 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 10 < x ≤ 15 has a frequency density of 3.5. How many values are in that class?On a histogram the bar for 10 < x <= 15 has a frequency density of 3.5. How many values are in that class?

A block has mass 430 g (to the nearest 10 g) and volume 17 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 430 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

The point (-2, 6) lies on y = f(x). Write down its image on y = f(-x).

y is directly proportional to x³. When x = 2, y = 32. Work out y when x = 3.y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.