Daily Practice - Higher Plus

y is directly proportional to x³. When x = 2, y = 40. Work out y when x = 5.y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.

A triangle has sides of 10 cm and 17 cm with an angle of 52° between them. Work out the third side, to 1 decimal place.

A bag holds 4 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

On a histogram the bar for 0 < x ≤ 20 has a frequency density of 0.4. How many values are in that class?On a histogram the bar for 0 < x <= 20 has a frequency density of 0.4. How many values are in that class?

A block has mass 310 g (to the nearest 10 g) and volume 11 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 310 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.