AQA A-LEVEL MATHEMATICS. PAPER 1 WITH 100% CORRECT MODEL ANSWERS-2024. VERIFIED

(02) ¼ a θ AQA A-LEVEL MATHEMATICS. PAPER 1 WITH 100% CORRECT MODEL ANSWERS -2024 . VERIFIED Answer all questions in the spaces provided. 1 Given that a > 0 , determine which of these expressions is not equivalent to the others. Do not write outside the box 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 sector. Circle your answer. 1.28 cm2 3.2 cm2 12.8 cm2 [1 mark] d x ¼ ke dy kx 6.4 cm2 !4 log10 (paffiffiffi) ¼ 10 10 10 3 Turn over (03) 4 The point A has coordinates (!1, a) and the point B has coordinates (3, b) The line AB has equation 5x þ 4y ¼ 17 Find the equation of the perpendicular bisector of the points A and B. [4 marks] Do not write outside the box Turn over for the next question s 4 (04) 5 An arithmetic sequence has first term a and common difference d. The sum of the first 16 terms of the sequence is 260 5 (a) Show that 4a þ 30d ¼ 65 [2 marks] Do not write outside the box 5 (b) Given that the sum of the first 60 terms is 315, find the sum of the first 41 terms. [3 marks] 5 Turn over (05) 5 (c) Sn is the sum of the first n terms of the sequence. Explain why the value you found in part (b) is the maximum value of Sn [2 marks] Do not write outside the box Turn over for the next question s