Daily Practice - Higher Plus

A block has mass 570 g (to the nearest 10 g) and volume 6 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 570 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

f(x) = 5x - 1. Work out the inverse function f^-1(x).f(x) = 5x - 1. Work out the inverse function f^-1(x).

y is directly proportional to x³. When x = 2, y = 16. Work out y when x = 5.y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.

A triangle has sides of 9 cm and 16 cm and an area of 50.91 cm². Work out the acute angle between those two sides, to the nearest degree.A triangle has sides of 9 cm and 16 cm and an area of 50.91 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) = 10/21. Work out r.