AQA A LEVEL MATHEMATICS Study guides, Class notes & Summaries

AQA A-Level Mathematics 2023 Predicted paper 2 – Pure and Mechanics Mathematics Maximum 100 marks 2 hours given Calculator Allowed Name: …………………………………… Date: …………………………………… Downloaded by nipsey scott () lOMoARcPSD| SECTION A Question 1. Which of the following functions is increasing for all real values of ? Circle your answer. (1) (Total 1 mark) Question 2. Simplify . Circle your answer. (1) (Total 1 mark) Downloaded...

The graph of y ¼ f (x) is shown below. y O x One of the four equations listed below is the equation of the graph y ¼ f (x) Identify which one is the correct equation of the graph. Tick (3) one box. [1 mark] y ¼ jx þ 2j þ 3 y ¼ jx þ 2j ÿ 3 y ¼ jx ÿ 2j þ 3 y ¼ jx ÿ 2j ÿ 3

The graph of y ¼ ax2 þ bx þ c has roots x ¼ 2 and x ¼ 5 , as shown in the diagram below. O 2 5 y x State the set of values of x which satisfy ax2 þ bx þ c > 0 Tick (3) one box. [1 mark] fx : x < 2g ¨ fx : x > 5g fx : 0 < x < 2g ˙ fx : x > 5g fx : 2 < x < 5g fx : 2 > x > 5g Jun23/7357/

Find the coefficient of x7 in the expansion of (2x ÿ 3)7 Circle your answer. [1 mark] ÿ2187 ÿ128 2 128 2 Given that y ¼ 2x3 find dy dx Circle your answer. [1 mark] dy dx ¼ 5x2 dy dx ¼ 6x2 dy dx ¼ x4 2 dy dx ¼ 6x

1 Given that a > 0 , determine which of these expressions is not equivalent to the others. Circle your answer. [1 mark] !2 log !1" 2 log (a) log (a2) 2 Given y ekx , where k is a constant, find dy d x Circle your answer. [1 mark] dy kx d x ¼ e dy d x ¼ kxe kx!1 dy d x ekx k 3 The diagram below shows a sector of a circle. The radius of the circle is 4 cm and y ¼ 0:8 radians. Find the area of the sect...

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