Mathematical Literacy Grade 11 March Test 2017 Paper & Memo

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~ Downloaded from hlayiso.com Mathematics 2 March 2017 Common Test INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of FOUR questions. 2. Answer ALL the questions. 3. Clearly show ALL calculations and diagrams that you have used in determining your answer, 4. You may use an approved scientific calculator (non-programmable and non-graphical). 5, If necessary round off answers to TWO decimal places, unless stated otherwise. 6. Answers only will not be awarded full marks. 7. Diagrams are not necessarily drawn to scale. 8. Number the answers correctly according to the numbering system used in this question paper. 9. Write neatly and legibly. Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematics 3 March 2017 Common Test QUESTION 1 11 Solve for x: Ld 4x(x-5)=0 (2) 1.1.2 3x? + 7x ~5 = 0 (correct to 2 decimal places) (4) L130 x-1=V7-3x (4) 114 9 2x?-5y43<1 (4) 11S 54.5%" 2125 (4) 1.2 Solve for x and y simultaneously: 2y +8~8x=0 2x? + 4x = y? +6 (6) [24] QUESTION 2 2.1 Simplify without the use of a calculator: 21.1 (25)% + V2 (3) 21-212"! 2.1.2 Fei grt (4) 2.2. For which values of m will the roots of 2x7 +x +m =0 be real? (3) [10} Copyright Reserved Please Turn Over

Downloaded from hlayiso.com — - Mathematics 4 March 2017 Common Test QUESTION 3 3.1 Peter builds triangular patterns with blocks in his yard, as shown in the sketch. Pattern 1 Pattern 2 Pattern 3 3.1.1 How many blocks will he need to build the 4" triangular pattern? th 3.1.2 Derive a formula to calculate the number of blocks in the n™ triangular pattern. 3.1.3 Determine the number of blocks in the 50" triangular pattern. 3.1.4 Which triangular pattern will have 496 blocks? 3.2. The general term of a certain quadratic number pattern is 7, = 2n? -5. Calculate the 50" term of the sequence of first differences of this quadratic number pattern. Copyright Reserved Please Turn Over (2) (4) 2) (4) @) [16]

Downloaded from hlayiso.com Mathematics 5 March 2017 Common Test QUESTION 4 4.1 A, B(-2;-8) and C(13; 2) are the vertices of a triangle ABC in the Cartesian plane. D(2; 0) and E(11; 6) are points on AB and AC respectively. Angles a@, 6 and @ have been indicated on the diagram. 4 A y E(11; 6) C(43; 2) (a DQ; 0) x » B(-2; ~8) 4.1.1 Prove that DE is parallel to BC. Show all your calculations. (4) 4.1.2 Calculate the size of angle @. (2) 4.1.3 Calculate the size of B. (5) Copyright Reserved Please Turn Over

~ Downloaded fram hlayiso.com- Mathematics March 2017 Common Test 4.2 P(-8; 2), Q(3; ~5), and R(8; 10) are the vertices ofa triangle POR in the Cartesian plane. QT is perpendicular to PR, with T on PR. A y RB; 10) T P(--8; 2) +> x Q(3; -5) 4.2.1 Determine the equation of PR inthe form y =mxr+c. (4) 4.2.2 Calculate the coordinates of T. (5) 4.2.3 Ifthe coordinates of T are (~2; 5), calculate the area of triangle POR. (5) [25] TOTAL: 75 Copyright Reserved

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