Daily Practice - Higher

y is directly proportional to x². When x = 2, y = 24. Work out y when x = 5.y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 5.

Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 3 cm². Work out the area of the larger.Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 3 cm^2. Work out the area of the larger.

11 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

A box plot has minimum 12, lower quartile 18, median 23, upper quartile 33 and maximum 38. Work out the interquartile range.

Write √20 in the form a √b, where b is as small as possible.Write sqrt(20) in the form a sqrt(b), where b is as small as possible.