Additional Mathematics 0606: SURDS,INDICES,LOG Topical Past Paper Questions

In this question lengths are in centimetres. Prism Cross-section The diagram shows a prism whose cross-section is formed by a square of side x and an equilateral triangle of side x. The length of the prism is y. The total surface area of the prism is A. The volume of the prism is…

Two variables, x and y, are related by an equation of the form $ y = Ax^{b} $, where A and b are constants. The following pairs of values of x and y are given. (a) On the axes below, use these values to draw the straight-line graph of $ \ln y $ against $ \ln x $. [2]

DO NOT USE A CALCULATOR IN THIS QUESTION. In this question all lengths are in centimetres. The diagram shows two similar triangles. The height of the smaller triangle is $ 1 + 7\sqrt{5} $ and the height of the larger triangle is $ a + b\sqrt{5} $, where a and b are integers. Find…