Daily Practice - Higher Plus

A bag holds 4 red and 6 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 20 < x ≤ 40 has a frequency density of 3.5. How many values are in that class?On a histogram the bar for 20 < x <= 40 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 7 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 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

The curve y = sin x° is drawn for 0 ≤ x ≤ 360. Write down the value of y when x = 270.The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.

y is directly proportional to x³. When x = 2, y = 32. Work out y when x = 4.y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.