Mathematics Grade 10 Paper 1 KwaZulu Natal June 2019 Memo

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Downloaded from hlayiso.com Downloaded from Stanmorephysics.com NATIONAL SENIOR CERTIFICATE GRADE 10 MATHEMATICS P1 COMMON TEST JUNE 2019 MARKING GUIDELINE MARKS: 50 This marking guideline consists of 4 pages. Copyright reserved Please turn over

Downloaded from hlayiso.com Downloaded from Stanmorephysics.com Mathematics/P1 2 Common Test June 2019 Grade 10 Marking Guideline QUESTION 1 1.1.1 3x3  2 x 2 ( x  5)  3x3  2 x3  10 x 2  2 x3  10 x2  x  10 x 3 2  x3  10 x2 (2) 1.1.2 (2 x  1)(2 x  1)  4 x2  2 x  2 x  1  4x 2  1 (2)  4 x2  1 x  4 x 1  8 x  1.1.3 1 4  1  2 x2  1  2x 2 (2) 1.2 y 2 ( y  2)  x 2 (2  y )  y 2 ( y  2)  x 2 ( y  2)  (y – 2)  ( y  2)( y 2  x 2 )  ( y 2  x2 )  ( y  2)( y  x)( y  x)  ( y  x)( y  x) (3) 1.3.1 x = 12 a (1) 1.3.2 x = 11 a (1) 1.3.3 1 a (1) x = 12 4 [12] QUESTION 2 2.1.1 2 x2  5x  3  0 (2 x  3)( x  1)  0  factors 3  x or x 1 2 (3) 2.1.2 x 1 x  2  20 3 5 5( x  1)  3( x  2)  2(15) 0  LCD = 15 15 5 x  5  3 x  6  30  0  2 x 19 19 x  (3) 2 2.2 2x  3y  3 (1) 2x  y  7 (2) (1)  (2)  4 y  4  y 1  y-value sub y  1 into (2): 2 x  1  7  substitution x3  x-value Copyright Reserved Please turn over

Downloaded from hlayiso.com Downloaded from Stanmorephysics.com Mathematics/P1 3 Common Test June 2019 Grade 10 Marking Guideline OR 2x  3y  3 (1) 2x  y  7 (2)  (2)  3 : 6 x  3 y  21 (1) : 2x  3y  3 (2)  (1) : 8 x  24  x-value x 3  substitution sub x  3 into (2): 2(3)  y  7  y-value y 1 OR 2x  3y  3 (1) 2x  y  7 (2) (2)  (3) : y   2x  7  sub (3) into (1) : 2 x  3( 2 x  7)  3 2 x  6 x  21  3 8 x  24 x 3  x-value sub x  3 into (3): y  2(3)  7  substitution  y-value y 1 (4) 2.3 5( F  32)  C (2) 9 [12] QUESTION 3 3.1 p  14 a q  27 a (2) 3.2 k 2 a (1) 3.3 Rn  7n  1  7n –1 (2) 3.4 B6  3(6)  2  20 200 enough bolts to make  10 6m fences  20 R6  7(6)  1  41 400 enough rods to make  9.8 6m fences  41 There is enough to make 9 complete 6m fences.  (3) [8] Copyright Reserved Please turn over

Downloaded from hlayiso.com Downloaded from Stanmorephysics.com Mathematics/P1 4 Common Test June 2019 Grade 10 Marking Guideline QUESTION 4 4.1 y-intercept: (0 ; – 16)  (1) 4.2 g ( x)  3x  3 0  3x  3  0  3x  3 3 3 x x 1 x-intercept: (1 ; 0) Answer only: 2/2  (2) 4.3 f(x):  x-intercepts  y-intercept  shape g(x):  intercepts  asymptote (5) 4.4 x  (2; ) OR x2  (1) 4.5 x-axis reflection  (1) [10] QUESTION 5 5.1 y  2  (1) 1 a 5.2 Sub point (4 ;  2 ) into f ( x)  2: 2 x 1 a 2  2 2 4  substitution 1 a   2 4 1 a  4 2 a2  (2) 5.3 y  x  c sub (0;  2) :  2  (0)  c  c=–2 c2  y  x  2  (2) 5.4 x  R; x  0 or x  (; ); x  0  (2) 5.5 f decreases for NO values of x.  (1) [8] Copyright Reserved Please turn over