Leaving Cert Maths Samples

_________________________________________ leavingcertsolutions.com ________________________________________ 2016 Question 8 – Ordinary Paper 1 Solution ( continued ) (c) From the graph, the maximum occurs when x = 5.25 The area is 27.56 Max area 27.56 Length 5.25 Width 5.25 ( 5 marks ) (d) (i) Area of garden is ( ) 2 10.5 10.5 xy x x x x = − = − ( 5 marks ) (ii) 10.5 2 dA x dx = − ( 5 marks ) (iii) Set 0 10.5 2 0 2 10.5 5.25 dA x x x dx = ⇒ − = ⇒ = ⇒ = ( 10 marks ) (iv) The maximum area = ( ) ( ) 5.25 10.5 5.25 27.5625 xy = − = ( 5 marks ) Comment: Long question. More messy data. This question was all over the place. You would think that part (b) should have followed part (c).