Daily Practice - Higher Plus

A block has mass 780 g (to the nearest 10 g) and volume 20 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 780 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.

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 10 cm and 15 cm and an area of 53.03 cm². Work out the acute angle between those two sides, to the nearest degree.A triangle has sides of 10 cm and 15 cm and an area of 53.03 cm^2. Work out the acute angle between those two sides, to the nearest degree.

A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 7/12. Work out r.