Daily Practice - Higher Plus

y is inversely proportional to x². When x = 4, y = 100. Work out y when x = 5.y is inversely proportional to x^2. When x = 4, y = 100. Work out y when x = 5.

A triangle has sides of 11 cm and 7 cm and an area of 19.25 cm². Work out the acute angle between those two sides, to the nearest degree.A triangle has sides of 11 cm and 7 cm and an area of 19.25 cm^2. Work out the acute angle between those two sides, to the nearest degree.

A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.

A histogram has four 20-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?

A block has mass 270 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 270 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.