MATH-March-QP & Memo-2018-Gr10_hlayiso.com_.pdf

Downloaded from hlayiso.com testpapers.co.za

Mathematics Downloaded from hlayiso.com NSC Common Test March 2U18 5 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions: tr ww 6. Copyright Reserved This question paper consists of 5 questions. Answer ALL the questions. Clearly show ALL calculations, diagrams, graphs, et cetera, which you have used in determining the answers. rily be awarded full marks. Answers only will NOT nece: You may use an approved scientific calculator (non-programmable and non-graphical) may be used, unless stated otherwise. If necessary, round olf answers to TWO decimal places, unless stated otherwise. Number the answers correctly according to the numbering system used in this question paper. Write neatly and legibly. Please turn over

Downloaded from hlayiso.com Mathematics NSC 3 QUESTION 1 11 Determine the product of the following expressions: 11d (2r + p) (ar — 2rp -2rp+ p) a a Simplify the following expressions fully: QUESTION 2 2.1 Without using a calculator, simplify the following expression fully: 18” x gre gig2n3 2.2. Solve for x in the following equations: 23° Given, 4° =64 and 38h a] . gk te 2.3.1 Show thatif 4 = 64, then vty = 3 2.3.2. Show that if 3°-!l 21, then y- yel 2.3.3. Hence or otherwise, find the value of 3°,5" Copyright Reserved Common Test March 2018 Please turn over

Downloaded from hlayiso.com Mathematics NSC Common Test March 2018 4 QUESTION 3 Bel Solve for x: 3.11 8x7 +14x-15 =0 (2) w x 120 te 2a j— 2 E Q) 0 3.43 (x-DO+3)= 313.1 if y = -3 Cl) 3.1.32 if p=4 () 3.2 Solve for ¢; —8s —2¢ <I8. Write your answer in interval notation. (2) [8] QUESTION 4 An interior decorator wants to decorate a bathroom wall with patterns of grey and white tiles as shown below: ere ‘ pattem } < number x ? pattem. number 41 Write down the number of tiles used in pattern 4 and pattern 5. (1) 4.2 Determine the n-th term, 7;, that represents the number of tiles used in each pattern, (2) 43 Calculate how many tiles she will need for the 200" pattern. (2) 4.4 Calculate in which pattern there will there be 1000 tiles. (2) Copyright Reserved Please turn over

Downloaded from hlayiso.com Mathematics NSC Common Test March 2018 5 QUESTION 5 5.1 Use the length of the sides in the figure drawn below to write down the following ratios. N 5.1.1 sing (1) 5.1.2 cot (1) 5.2 Simplify the following WITHOUT the use ofa calculator cos30. 5 eee. (3) cos ec60 5.3 Two trees AB and CD are planted on flat ground.The angle of elevation of their tops from a point X on the ground is 40°. The horizontal distance between X and the shorter tree is 8m and the distance between the tops of the two trees is 20m. B D<—~-8 m——> Calculate the height of the tall tree. (4) 19] TOTAL MARKS: 50 Copyright Reserved

Downloaded from hlayiso.com

Downloaded from hlayiso.com BAO poasasayy wysitucdlo 3 (g) AOMSUL » siomod. sosnq autiud 1=4g x Ugy TNOLLSANO f uw L Pens | L (oul (ca) Q-x= xp (D4 x)\(v=x) (=e) * ~ ww (@exg-w+ue * xp q+ os re up 1@ *- po» | zt E A a | lee? = KS fala ) | dt pA Bp | (def +e it) | yy SIOZ We} 89 INOLLSaNO 4 ” rt 1 i w 1 a 1 1 " o w Sas ‘saBeud ¢ jo sysisuos auljaping Suryavur sty, OL advadD ALY OMLLYAD YOINAS TIVNOILVN ANITACINS ONDIAVA 8107 HOUVIN LSaL NOWINNOD SOLLVNGHLVAL Voldsv HLNOS 40 OI1Egnd3y uoleonpz jo juawyedag jeyen-ninzemy uoleonpy anoy Os “QIALL SSRIVIN

matics ( Mi N SC- Grade 10 3 March OLS. Downloaded from hlayiso.com 221 5 v= 512 ee v2 prime base sz Y answer Q) 22.2 vy mos? Y bracket i.e. (3° =D) ¥ answer r 3) 23.1 ¥ 2 common base Y equating exponents Q) 23.2 - vy ie5) 233) | ¥solving simultaneously _| (any method) Y¥x=2 Yy=l vst SS ¥ answer co) Reserved Please turn over Mathematics ( Marking Guideline, NSC- Grade 10 Common Test March 2018 4 QUESTION 3 [311 | gx? +14x-15=0 . (4x—3)(2x+5)=0 Y factors 5 coon. Paes urge 2) “4 2 4 2 t=2n{~ Y dividing by 2z or ts squaring both sides 3.1.2 | or ¥ answer vets an Q 313 [3.03.1 xeR Y xER a) 13.2 x=l Yxal Q) 32 —8S-2r<18 -9<0K54 ¥-9ers4 (-9:4] ¥ (-%4] QUESTION 4 4 13 tiles and 16 tiles v 13 and 16 } 42 r= antl ¥ 38 +I eee eran 43 Tay, = 3(200) +1 Y substitution = 601 tiles Y answer | (2) 44 3n+1=1000 ¥ substitution 3n = 999 n=333 Y answer ‘There will be 1000 tiles in pattern 333 Q) {71 Copyright Reserved Please turn over

Downloaded from hlayiso.com OS ?SMUVIA IVLOL pansasay 1 lol (r) WLEEL yo A Ube OE yo A wes‘ol = PPOEX OPIS = 000 jor fo 1yBtoy broe Dan yor fo nySioy = OPUS OLE TRL Jo ws wep Ol A upp OL = 30 Op S09 = we omer Bin joaai09 Suisn 3 a xo " = = gpsoo 7 7 or DO4, MOUS JO USI es a oF bo a ¢ 7 gy gf £, an z z Z gf py a“ 92a S09 OE S09 zs @ NW wr 7 (7) AX NW 7 8107 Huey 89, wou Ol @PEID -ISN s

Downloaded from hlayiso.com