Daily Practice - Higher Plus

y is inversely proportional to x². When x = 5, y = 36. Work out y when x = 3.y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 3.

A triangle has sides of 14 cm and 9 cm and an area of 54.56 cm². Work out the acute angle between those two sides, to the nearest degree.A triangle has sides of 14 cm and 9 cm and an area of 54.56 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) = 14/33. Work out r.

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

A block has mass 630 g (to the nearest 10 g) and volume 4 cm³ (to the nearest cm³). Work out the upper bound of its density, to 2 decimal places.A block has mass 630 g (to the nearest 10 g) and volume 4 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.