Daily Practice - Higher Plus

A block has mass 500 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 500 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.

Use the iteration x(n+1) = cube root of (8x(n) + 3) with x(0) = 1. Work out x(1) to 3 decimal places.

A train slows steadily from 31 m/s to rest in 10 seconds. Work out its deceleration.

A triangle has sides of 12 cm and 16 cm and an area of 96.00 cm². Work out the acute angle between those two sides, to the nearest degree.A triangle has sides of 12 cm and 16 cm and an area of 96.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.

A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.