Mathematics Grade 10 P1 Gauteng June 2016 Memo (English)

Downloaded from hlayiso.com GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION JUNE 2016 GRADE 10 MATHEMATICS (PAPER 1) MEMORANDUM 6 pages

Downloaded from hlayiso.com MATHEMATICS Grade 10 MEMORANDUM (Paper 1) GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION MATHEMATICS (Paper 1) MEMORANDUM QUESTION 1 1.1 88 44 22 Any acceptable (1) 0,88  =  fraction 100 50 25 1.2 undefined 11 (1) 1.3 Between and ,  (2) [4] QUESTION 2 2.1 2.1.1 multiplication (2) = simplification = 2.1.2 (3) ( x  3)( x 2  3 x  9) = ( x  3)( x  3)  =1 1 2.1.3 (3)  =  = =  2

Downloaded from hlayiso.com MATHEMATICS Grade 10 MEMORANDUM (Paper 1) OR OR 2 x 2 y 2 8 x 5 y 8 = 4 x 4 . y 8  2 x 2 . x 4 .8 y 8 2x 2 .x 4 .8 y 8  = 4 y 8 . y 2 .x 5 =  = 2.2 2.2.1  (2)  2.2.2 (3) =  =  = Accept alternative grouping =  [13] QUESTION 3 3.1 3.1.1  (2)  or or 3.1.2  (4) ( ) ( )  or  or 2 3  3

Downloaded from hlayiso.com MATHEMATICS Grade 10 MEMORANDUM (Paper 1) 3.2 2(2 x  3)  18  2 x Simplification (4) 4 x  6  18  2 x 4x  6  4 x  2 x  6  18 x  12 2 x  24 x  12 Representing on the number line and 12 includedand arrow NOTE: If 12 is included with a line - 1mark  4

Downloaded from hlayiso.com MATHEMATICS Grade 10 MEMORANDUM (Paper 1) 3.3 ……….2  Sub 3 in 2 substitution    Sub in equation 1 Alternative method (elimination method) Multiply equation 1 by 2 Multiply by 2  ………..3 ………..2 Subtract equation 2 from equation 3 Eliminating   Sub in equation 2  Substitution  (5) [15] 5

Downloaded from hlayiso.com MATHEMATICS Grade 10 MEMORANDUM (Paper 1) QUESTION 4 4.1 4.1.1 1417 (2) 4.1.2 Top (2) Bottom =   4.2 4.2.1  (1) 4.2.2  (2)  [7] 6

Downloaded from hlayiso.com MATHEMATICS Grade 10 MEMORANDUM (Paper 1) QUESTION 5 5.1 5.1.1 -1 0 1 f ( x)  x  2 2 -1 -2 -1 -1 0 1 f( ) and g( x)  3x 1 1 3 3 y-intercept shape both graphs (4) 5.1.2  (1) 5.1.3 y  2  (1) OR OR [2; ) [2; )  (brackets MUST be correct) 5.1.4 2 units down 2 down (2) 5.2 substitution of (3) asymptote  substitution (5;-5)  [11]  TOTAL: 50 7