Daily Practice - Higher Plus

y is directly proportional to x³. When x = 4, y = 128. Work out y when x = 5.y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.

A triangle has sides of 6 cm and 10 cm with an angle of 27° between them. Work out the third side, to 1 decimal place.

A bag holds 6 red, 5 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

On a histogram the bar for 60 < x ≤ 65 has a frequency density of 3.5. How many values are in that class?On a histogram the bar for 60 < x <= 65 has a frequency density of 3.5. How many values are in that class?

A block has mass 760 g (to the nearest 10 g) and volume 23 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 760 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.