Daily Practice - Higher Plus

y is directly proportional to x³. When x = 2, y = 40. Work out y when x = 4.y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.

A triangle has sides of 8 cm and 13 cm and an area of 52.00 cm². Work out the acute angle between those two sides, to the nearest degree.A triangle has sides of 8 cm and 13 cm and an area of 52.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.

A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/11. Work out r.

On a histogram the bar for 60 < x ≤ 70 has a frequency density of 2.4. How many values are in that class?On a histogram the bar for 60 < x <= 70 has a frequency density of 2.4. How many values are in that class?

A block has mass 880 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 880 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.