Daily Practice - Higher Plus

y is inversely proportional to x². When x = 5, y = 27. Work out y when x = 3.y is inversely proportional to x^2. When x = 5, y = 27. Work out y when x = 3.

A triangle has sides of 7 cm and 6 cm and an area of 21.00 cm². Work out the acute angle between those two sides, to the nearest degree.A triangle has sides of 7 cm and 6 cm and an area of 21.00 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.

A histogram has four 10-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?

A block has mass 430 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 430 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.