MARKS: 150 TIME: 3 hours Province of the EASTERN CAPE EDUCATION NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2020 MATHEMATICS P1 EXEMPLAR * IMAT 1 * This question paper consists of 8 pages.
2 MATHEMATICS P1 (EC/NOVEMBER 2020) INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of TEN questions. Answer ALL the questions. 2. Clearly show ALL calculations, diagrams, graphs, et cetera that you have used in determining your answer. 3. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise. 4. Answers only will not necessarily be awarded full marks. 5. If necessary, round off answers to TWO decimal places, unless stated otherwise. 6. Diagrams are NOT necessarily drawn to scale. 7. Number the answers correctly according to the numbering system used in this question paper. 8. Write neatly and legibly. Copyright reserved Please turn over
(EC/NOVEMBER 2020) MATHEMATICS P1 3 QUESTION 1 1.1 Solve for x: 1.1.1 (3x+2)(x-5)=0 (2) 1.1.2 3x2 -5x-1=0 (correct to 2 decimal places) (3) 1.1.3 x =4 -Vx-2 (5) 1.1.4 2x2 +5x?3 (4) 1.2 Simplify the following, without using a calculator: 1.2.1 ¨ 27 ¹ § 8 )3 2 (2) 1.2.2 (V12+2)(V3-1) (3) 1.3 Solve for x and y simultaneously: 5y-x=2 and x2 -3xy +4y = 4 (6) 1.4 The diagram below shows an oval piece of land that Eli acquired for his poultry project. He decides to use the biggest possible rectangular piece of land out of the entire piece. The rectangular piece will have a length of 2x metres and a breadth of y metres, as shown: A B y D 2x C 1.4.1 Show that the area A, of the rectangle can be written as: A=280x-4x2, given (3) that the perimeter of the rectangle is 280 m. 1.4.2 Determine the maximum possible area that the rectangle can occupy. (3) [31] Copyright reserved Please turn over