Mathematics Grade 11 March Test 2016 Paper & Memo

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Downloaded from hlayiso.com Mathematics March 2016 Common Test Grade 11 INSTRUCTIONS AND INFORMATION Read the following instruction carefully before answering the questions. 1, The question paper consists of 4 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 otherwise stated. 6. Answers only will not be awarded full marks. 7. Diagrams 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 March 2016 Common Test Grade 11 QUESTION 1 1.1 Simplify full, without using a calculator Lil 3.27% AF @) gett yoeen3 2 le 4 32*7! OS ( ) 1.2 Ifthe length and breadth of a rectangle is (vs - i) and (V 5+ i) units respectively. Determine the length of the diagonal. Leave your answer in its simplest surd form. (3) 1.3 Solve for x: +) wel : 1.3.1 a7 N81" (4) 3xt2 13.2 5?*45-"~130=0 (a [18] QUESTION 2 21 Solve for x: 21.1 2x? - 5x = 0 (3) 21.2 lle = 7x? +3 (Answer correct to 2 decimal places) (A 4) 213 Jx+8-2=x (4) 2.2 2.2.1 Write down the value(s) of x for which ( + 2y is undefined? qd) x 2. 2.2.2 Hence, solve the following inequality +7) 2 0. (4) 2.3 Solve for x and y. ate? = 97-3 and x? + xy +e -2y =0 (6) 2.4 Simplify 25° x 2 and determine the sum of the digits of the product, (3) [25] Copyright Reserved Please Turn Over

_ Downloaded from hlayiso.com Mathematics March 2016 Common Test Grade 11 QUESTION 3 3.1 Inthe diagram below, ABCD is a quadrilateral with A(3;11), B(0;2), C(3;1), D(7;3) y a AG; 11) MO») N¢7; 3) BO; 2) ‘C331 d (3; 1) px Calculate: 3.1,1 The lengths of AB and AD, (4) 3.1.2 The coordinates of M, the midpoint of AD. (2) 3.1.3 The gradients of BC (2) 3.1.4 The equation of BM, inthe form y= mx +c. (4) 3.2 Prove that AB LBC, (4) Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematics Grade 11 3.3. In the diagram below, A(-1;2), B(x; y) and cal; ~1) are the vertices of a triangle. D is the x-intercept and the midpoint of AB. BAC is 78,69°. eS A(-1; 2) C(1;-1) \ Boy y) 3.3.1 3.3.1.1 Calculate the size of angle 6. 3.3.1.2 Hence, find the equation of AB. 3.3.2 Determine the coordinates of D. 3.3.3. Determine the coordinates of B. ( ) 3.3.4 Find the equation of a line passing through B and perpendicular to BC in the form: yYEmx +e. 3.5 If the following points B(x ;-3), E4; 5) and F(2; 2) are collinear, calculate the value of x. TOTAL MARKS: Copyright Reserved March 2016 Common Test (2) (3) (2) (2) (4) (3) [32] 73

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