Leaving Cert Maths Samples

_________________________________________ leavingcertsolutions.com ________________________________________ 2016 Question 8 – Ordinary Paper 1 Solution (a) The perimeter of the garden is 2 2 x y + We know the perimeter = 21 m 2 2 21 x y ⇒ + = 10.5 x y ⇒ + = ∴ 10.5 y x = − ( 10 marks ) (b) (i) You can use the table function on your calculator to fill in the table for the graph x 0 1 2 3 4 5 6 7 8 9 10 y 10.5 9.5 8.5 7.5 6.5 5.5 4.5 3.5 2.5 1.5 0.5 A = xy 0 9.5 17 22.5 26 27.5 27 24.5 20 13.5 5 ( 5 marks ) (ii) Now use the table above to sketch the graph of ( x , A ) ( 5 marks ) Comment : Some students would have used 10.5 y x = − as the function and then sketched a line! x y Maximum x (m) A (m 2 )