Mathematics Grade 11 Paper 1 Gauteng June 2018 Memo

Downloaded from hlayiso.com GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION JUNIE 2018 GRADE 11 MATHEMATICS PAPER 1 MEMORANDUM 8 pages

Downloaded from hlayiso.com MATHEMATICS MEMORANDUM (Paper 1) GRADE 11 GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION MATHEMATICS (Paper 1) MEMORANDUM INFORMATION A – Accuracy C.A. – Continued Accuracy NOTE:  If a candidate answered a question TWICE, mark only the first attempt.  If a candidate CROSSED out an answer and did not redo it, mark the crossed-out answer. Stop marking at the second calculation error.  Consistent accurancy applies to ALL aspects of the marking memorandum.  Assuming values / answers in order to solve a problem is UNACCEPTABLE. QUESTION 1 1.1 1.1.1  answer (1) 1.1.2  answer (1)  1.2 ( )   1 (2) 1.3 1.3.1 ( )( ) of   (2) 1.3.2 √ ( ) √( ) ( )( )  Substitution ( ) √    Correct rounding off (4) 2

Downloaded from hlayiso.com MATHEMATICS MEMORANDUM (Paper 1) GRADE 9 1.3.3 ( )( )  factors ( )  answer (2) 1.3.4 √ √  squaring ( √ ) ( ) ( )  standard form ( )( )  factors  critical values  choosing (5) 1.3.5 ( )  factors ( ) ( )  simplification  answer (3) 1.2  as subject ( ) ( )  sub. x into equation 2 ( )( )  standard form  factors  both y-values ( ) ( )  both x-values (6) [26] 3

Downloaded from hlayiso.com MATHEMATICS MEMORANDUM (Paper 1) GRADE 9 QUESTION 2 2.1 √ √  simplification ( √ ) √ √ √ √  simplification ( √ ) √  answer (3) 2.2 2.2.1 To show:  factors ( ) LHS: ( )  factors ( ) ( ( )) RHS (2) 2.2.2  substitution ( ) ( )  factors ( ( )  factors ( )  answer (4) 2.3 2.3.1  application  correct numerator  correct denominator (3) 2.3.2 sum of reciprocals sum of reciprocals  formula sum of reciprocals  substitution (10)  substitution (20)  simplified answer (4) [16] 4

Downloaded from hlayiso.com MATHEMATICS MEMORANDUM (Paper 1) GRADE 9 QUESTION 3 3.1 3.1.1 -27 ; -39  -27  -39 (2) 3.1.2 1 -3 -9 -17  method mark for finding the first and the second -4 -6 -8 row differences -2 -2 second difference  ( )  ( )  (4) 3.1.3 ( ) ( )  substitution  answer (2) 3.1.4 and   standard form ( )( ) term  (3) 5

Downloaded from hlayiso.com MATHEMATICS MEMORANDUM (Paper 1) GRADE 9 3.2 The pattern that is forming is: 1; 4; 6; 9; 16; 25;......  where refers to the th odd number  Which odd number is Formula for the odd numbers are  simplification (This is a linear pattern with and   (6) 3.3 5n – 2  100  correct equating 5n  102  n  20,4  n   n = 20  20 questions  n (3) [20] QUESTION 4 4.1 A(0 ; 1)  x=0  y=1 (2) 4.2 4.2.1 ( ) OR ( ) ( )  ( ) OR  ( ) ( ) (2) 𝑦 4.2.2  shape  y- intercept  x-axis asymptote 𝑥 (3) 6

Downloaded from hlayiso.com MATHEMATICS MEMORANDUM (Paper 1) GRADE 9 4.3 4.3.1 ( )  reflection in -axis ( ) ( )  1 unit right ( ) ( )  2 units up ( ) ( ) first reflected in -axis then moved 1 unit right and 2 units upwards (3) [10] QUESTION 5 5.1 ( ) ( )  calculating +1 ( ) ( )  -1 ( ) [( ) ]  factorizing ( ) ( ) ( )  simplification of OR [( ) ]  ( ) ( )  ( ) Subst in ( )  ( ) ( )  substitution (4) 5.2 Q(1 ; 18)  x=1  y = 18 (2) 5.3  standard form ( )( )  factorisation  ( ) and ( )  ( ) and ( ) (4) 7

Downloaded from hlayiso.com MATHEMATICS MEMORANDUM (Paper 1) GRADE 9 5.4 Vert: x and Hor: y  and    (4) 5.5 OR  ( ) OR  ( ) (2) 5.6 ( )  ( ) (2) 5.7 ( )  ( ) OR  ( ) ( ) OR  ( )  ( ) (2) [20] QUESTION 6 6.1 ( ) ( )  p=1 ( ) ( )  q=8 ( )   and  (5) 6.2 ( ) ( )  a = -2 OR  p=1 ( ) ( ) ( )  q = 11 OR ( )  a=-2  b=-4  c= 9 (3) [8] TOTAL: 100 8