Daily Practice - Higher Plus

A block has mass 320 g (to the nearest 10 g) and volume 18 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 320 g (to the nearest 10 g) and volume 18 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 (5x(n) + 2) with x(0) = 5. Work out x(1) to 3 decimal places.

y is inversely proportional to x². When x = 5, y = 16. Work out y when x = 4.y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 4.

A triangle has sides of 12 cm and 10 cm and an area of 42.43 cm². Work out the acute angle between those two sides, to the nearest degree.A triangle has sides of 12 cm and 10 cm and an area of 42.43 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) = 1/28. Work out r.