Daily Practice - Higher Plus

A train slows steadily from 39 m/s to rest in 4 seconds. Work out its deceleration.

A triangle has sides of 8 cm and 6 cm and an area of 20.78 cm². Work out the acute angle between those two sides, to the nearest degree.A triangle has sides of 8 cm and 6 cm and an area of 20.78 cm^2. Work out the acute angle between those two sides, to the nearest degree.

A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 15/28. Work out r.

On a histogram the bar for 0 < x ≤ 20 has a frequency density of 1.5. How many values are in that class?On a histogram the bar for 0 < x <= 20 has a frequency density of 1.5. How many values are in that class?

A block has mass 260 g (to the nearest 10 g) and volume 24 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 260 g (to the nearest 10 g) and volume 24 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.