Daily Practice - Higher Plus

A block has mass 520 g (to the nearest 10 g) and volume 3 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 520 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

Solve x² + y² = 841 and y = x - 1 simultaneously.Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.

y is directly proportional to x³. When x = 4, y = 256. Work out y when x = 3.y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.

A triangle has sides of 16 cm and 8 cm and an area of 55.43 cm². Work out the acute angle between those two sides, to the nearest degree.A triangle has sides of 16 cm and 8 cm and an area of 55.43 cm^2. Work out the acute angle between those two sides, to the nearest degree.

A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/11. Work out r.