Mathematics Grade 10 Paper 2 North West June 2018 Memo

Downloaded from hlayiso.com GRADE 10 MATHEMATICS PAPER2 MID – YEAR EXAMINATION 2018 MEMORANDUM MARKS: 75 This memorandum consists of 7 pages Demo NW/JUNE/MATH/ EMIS/6*******

Downloaded from hlayiso.com Mathematics memo/P2 2 NW/June 2018 Grade10 QUESTION 1 1.1 sin  sec   sin 47,5  sec 50,3  substitution 1  sin 47,5   cos 50,3 1  2.30  cos50,3 ANSWER ONLY: Full marks  answer (3) 1.2.1 2 sin x  2 sin x  1  division by 2  answer x  90 (2) 1.2.2 cos ( x  11)  1  1,79 cos ( x  11)  0,79 transposing x  11  37,8144  simplification  answer x  48,81 (3) 1.3.1 24  tan 45 2 1  24  1  answer 5 (2) 1.3.2    sin 60 .sec 60 . cot 30 sin 45  3 3 2 . 2. 3 2 2 2  3 2 1 2  or 6 2 2 3  answer (5) [15] Demo NW/JUNE/MATH/ EMIS/6*******

Downloaded from hlayiso.com Mathematics memo/P2 3 NW/June 2018 Grade10 QUESTION 2 2.1 13 12 θ -5  correct quad  r = 13 5  13 cos  sin 12   5 12 13   13 13 17   answer 13 (5) 2.2 Q P 36 S R 2.2.1 PS cos 36   answer PQ  answer PQ cos 36  (2) PR 2.2.2 QS tan 36    ratio PS QS subs of 9,5 tan 36  9 .5  simplification QS  9,5 tan 36 QS  6,9cm  answer (4) 2.2.3 SP  answer sin 54  (1) QP [12] Demo NW/JUNE/MATH/ EMIS/6*******

Downloaded from hlayiso.com Mathematics memo/P2 4 NW/June 2018 Grade10 QUESTION 3 3.1 opp sin    ratio hyp  Substitution 122 sin   1200  Answer   6 Answer only: full marks (3) 3.2.1 QT cos 15   substitution into 72 Q T  72 cos15 the correct ratio  simplification QT  69,55cm  answer (3) 3.2.2 QT  substitution into cos35  TR the correct ratio 69,55  simplification TR   answer cos35 TR  84,90 cm (3) [9] Demo NW/JUNE/MATH/ EMIS/6*******

Downloaded from hlayiso.com Mathematics memo/P2 5 NW/June 2018 Grade10 QUESTION 4 4.1 f  y – intercept  x – intercept  shape g  y – intercept  x – intercept  shape 6 4.2 0 0  x  3600  notation  end points 2 4.3 y  0; 2  notation end points OR 0 y  2 2 [10] Demo NW/JUNE/MATH/ EMIS/6*******

Downloaded from hlayiso.com Mathematics memo/P2 6 NW/June 2018 Grade10 QUESTION 5 5.1 Lˆ  Mˆ (s opp  sides) R SR Lˆ  Mˆ  2 x  1800 ( of s of a Δ) 2M  2 x  180 0 Mˆ  900  x  value of M̂ 6 x  900  x  1800 (co  int s PQ KM ) SR 5 x  900 x  180  answer (7) 5.2 5.2.1 EGˆ F  x (s opp  sides / EF  EG) S R (2) 5.2.2 GEˆ D  GDˆ E  2 x (Ext  of a ∆ FEˆ G )  value of FEˆ G Fˆ  Dˆ  DGˆ H (Ext  of a ∆ DGˆ F ) SR x  2 x  75   substitution x  25  answer (5) [14] Demo NW/JUNE/MATH/ EMIS/6*******

Downloaded from hlayiso.com Mathematics memo/P2 7 NW/June 2018 Grade10 QUESTION 6 6.1 6.1.1 DOC and BOA OC  OA (given)  S/R SR DCˆO  BXˆO (alter...s)  S/R DOˆ C  BOˆ A (vert....opp) S/R  DOC  BOA ( AAS )  conclusion  AB  DC (6) 6.1.2 OD = OB ( DOC  BOA) S R Diagonals bisect each other (2) 7.2 PQ 2  PT 2  QT 2  Pythagoras  substitution 10  8  QT 2 2 2 QT 2  100  64 QT  36  QT  6 QT  6 TS  21  6  TS  15 TS  15 PS 2  TS 2  PT 2 PS 2  152  82  PS  17 PS  289 substitution PS  17  Perimeter  2(10)  2(17)  answer (7) [15]  54cm Demo NW/JUNE/MATH/ EMIS/6*******