Daily Practice - Higher Plus

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.

A triangle has sides of 17 cm and 5 cm with an angle of 36° between them. Work out the third side, to 1 decimal place.

A bag holds 3 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

On a histogram the bar for 50 < x ≤ 70 has a frequency density of 0.4. How many values are in that class?On a histogram the bar for 50 < x <= 70 has a frequency density of 0.4. How many values are in that class?

A block has mass 750 g (to the nearest 10 g) and volume 25 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 750 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.