Daily Practice - Higher

y is directly proportional to x². When x = 3, y = 54. Work out y when x = 5.y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 5.

Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 27 cm². Work out the area of the larger.Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 27 cm^2. Work out the area of the larger.

21 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

A box plot has minimum 14, lower quartile 18, median 28, upper quartile 38 and maximum 41. Work out the interquartile range.

Work out (27 x 10⁸) / (9 x 10⁵). Give your answer in standard form.Work out (27 x 10^8) / (9 x 10^5). Give your answer in standard form.