Daily Practice - Higher Plus

A train slows steadily from 13 m/s to rest in 8 seconds. Work out its deceleration.

A triangle has sides of 9 cm and 7 cm with an angle of 61° between them. Work out the third side, to 1 decimal place.

A bag holds 4 red, 6 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 0 < x ≤ 5 has a frequency density of 1.5. How many values are in that class?On a histogram the bar for 0 < x <= 5 has a frequency density of 1.5. How many values are in that class?

A block has mass 850 g (to the nearest 10 g) and volume 3 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 850 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.