Edexcel A-Level Maths, Pure Paper 2, June 2018
Pure Paper 2, 2018,Q1
1. g(x) = 2x+5 / x-3
a. Find gg(5)
b. State the range of g c. Find g-1(x), stating its domain.
Pure Paper 2, 2018,Q2
1. Relative to a fixed origin O.
the point A has position vector (2i + 3j - 4k),
the point B has position vector (4i - 2j + 3k),
and the point C has position vector (ai + 5j - 2k), where a is a constant and a < 0
D is the point such that AB = BD.
a. Find the position vector of D.
b. find the value of a.
Pure Paper 2, 2018,Q3
3a. 'If m and n are irrational numbers, where m=/n, then mn is also irrational.' Disprove this statement by means of a counter example.
bi. Sketch the graph of y = |x| + 3
ii. Explain why |x| + 3 is larger than or equal to |x + 3| for all real values of x.