Mathematics Grade 10 Paper 1 North West June 2019 Memo

Downloaded from hlayiso.com GRADE 10 MATHEMATICS PAPER 1 MID YEAR EXAMINATION 2019 MEMORANDUM MARKS: 75 This memorandum consists of 6 pages Demo NW/JUNE/MATH/ EMIS/6*******

Downloaded from hlayiso.com Mathematics Memo/P1 2 NW/June 2019 Grade 10 QUESTION 1[9] 1.1.1 2E v m 2  132 substitution  12  22 answer (2) 1.1.2 irrational answer (1) 1.1.3 16  22  25  16  22  25 4  22  5 answer  it lies between integers 4 and 5 (2) 1.2  0,5 2  0,5222222222..  let x  0,5 2  10x  5, 2        (1) equation 1  equation 2 100x  52, 2        (2) equation (2) - (1)  90x  47 90x  47 47 answer x  92 (4) QUESTION 2[18] 2.1.1 a 2  2a  ax  2 x  a(a  2)  x(a  2)  a (a  2)  (a  2)(a  x)   x ( a  2) answer (3) 2.1.2 x  27 3 ( x  3)( x  3 x  9) 2 factors  x  3x  9 2 x 2  3x  9 answer  x3 (3) 2.2.1 (2 y  3)(6 y  4 y  8) 2  2 y (6 y 2  4 y  8)  3(6 y 2  4 y  8) 12 y 3  8 y 2  16 y  12 y  8 y  16 y  18 y  12 y  24 3 2 2   18 y 2  12 y  24  12 y 3  10 y 2  28 y  24 answer (3) Demo NW/JUNE/MATH/ EMIS/6*******

Downloaded from hlayiso.com Mathematics Memo/P1 3 NW/June 2019 Grade 10 2.2.2 2 2 n  4 n  2 2 2 n 2 2 n .2 changing 4 n to 2 2 n  changing 16 n 2 4n 16 n to 2 4 n 2 4n 2  4n 2 2 answer (3) 2.2.3 3x  7 x  6 x 3x  2 x x(3x  7 x  6) x(3x  2) 3 2 2 2  x(3x  7 x  6) 2    x2  9 3x  9 ( x  3)( x  3) 3( x  3)  ( x  3)( x  3) x(3x  2)( x  3) 3( x  3)  x(3 x  2)    3( x  3) ( x  3)( x  3) x(3x  2)  (3 x  2)( x  3) 3 answer (6) QUESTION 3[17] 3.1.1 9 x  4  5(2 x  3) 9 x  4  10x  15 removing brackets 9 x  10x  4  15 18x  18 adding like terms x 1 answer (3) 3.1.2 1 4x  256 1 2 2x  8 expressing both 4 2 and 256 as the base of 2  2 8 2x 2  2 x  8 answer  x  4 (2) 3.2 10  x  4  12 10  4  x  12  4 transposing 4 critical values 6 x8 notation graphical representation 6 8 (4) Demo NW/JUNE/MATH/ EMIS/6*******

Downloaded from hlayiso.com Mathematics Memo/P1 4 NW/June 2019 Grade 10 3.3 A   R2   r 2  r 2 subj. of formula  r subj. of formula A  R 2  r 2 NB: DO NOT A  R 2 PANELISE IF WRITE  r2  A  R2  r  R 2  A   (2) 3.4.1 x  9 y  99 2 2 factors ( x  3 y )( x  3 y )  99 99 answer  x  3y  x  3y (2) 3.4.2 99 x  3y  x  3y substituting 3 99 x  3y  3 x  3 y  33    equation1 x  3 y  3    equation2  2x  36 2 x  36  x  18  value of x 18  3 y  33 3 y  15  value of y y 5 (4) QUESTION 4[10] 4.1.1  11;  16 each term (2) 4.1.2 Pattern is linear, Tn  dn  c To solve for c , substitute n  1 and T1  4 substitution 4  5(1)  c c  9  value of c  Tn  5n  9 answer (3) 4.1.3 Tn  5n  9 T27  5(27)  9 substitution answer  126 (2) 4.1.3 Tn  5n  9  71  5n  9 substitution 5n  80  n  16 answer (2) 4.2 111111X111111 answer (1) Demo NW/JUNE/MATH/ EMIS/6*******

Downloaded from hlayiso.com Mathematics Memo/P1 5 NW/June 2019 Grade 10 QUESTION 5[10] 5.1 y  1  answer (1) 5.2 Parabola x – intercepts Turning point concave up Exponential intercepts at (0;0) asymptote increasing function (6) 5.3 y  1 OR answer (1) y  (1; ) 5.4 reflection about the x axis reflection x axis (2) Demo NW/JUNE/MATH/ EMIS/6*******

Downloaded from hlayiso.com Mathematics Memo/P1 6 NW/June 2019 Grade 10 QUESTION 6[11] 6.1 y 2  y1 m formula x 2  x1 1 4 substitution  3 2  1 -1 y  mx  c 4  1(2)  c c  2  y  x  2 equation  a  1 q  2 (4) 6.2 h( x )  p ( x ) 2 equating   1  x  2 x 2   x  1 x  2  x 2  x standard form x2  x  2  0 factors ( x  2)( x  1)  0  x  2 or x  1 both values of x (4) 6.3  1  x  0 or x2  end points notation for 1 x  0 x2 (3) Demo NW/JUNE/MATH/ EMIS/6*******