Mathematical Literacy Grade 10 P2 2017 QP & Memo

Downloaded from hlayiso.com_ Education KwaZulu-Natal Department of Education REPUBLIC OF SOUTH AFRICA Se RANA SAAS E AA AA SERRA ERS ALAEROME LEER REAR AEROS SALEM AEE M SEER EMEA R AREER SSRI : MATHEMATICAL LITERACY P2 | COMMON TEST : NATIONAL SENIOR CERTIFICATE GRADE 10 MARKS: 50 TIME: 1 hour This question paper consists of 6 pages. Please turn over ee maa cciinzimimmsmaiaaiaeninn ae Copyright reserved

~ Downloaded from hlayiso.com Mathematical Literacy P2 NSC June 2017 Common Test 2 INSTRUCTIONS AND INFORMATION 1. 2. This question paper consists of THREE questions. Answer ALL the questions. Number the answers correctly according to the numbering system used in this question paper. Start EACH question on a NEW page. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. Show ALL the calculations clearly. Round ALL the final answers off appropriately according to the given context, unless stated otherwise. Indicate units of measurement, where applicable. Write neatly and legibly. Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy P2 NSC June 2017 Common Test 3 QUESTION 1 Karla travelled from Durban to Kimberley by train. The train time-table below shows the time and places that the train stopped at on its journey. Time-Table of train journey from Durban to Kimberley departing every Wednesday Atrival. | Departure Time in i minutes stopped at station Durban Pietermaritzburg 20:53 17 Ladysmith 00:33 27 Harrismith 03:23 30 Bethiehem 05:20 05:40 20 Kroonstad 07:49 08:19 30 Hennenman 08:57 08:59 2 Virginia 09:17 09:19 2 Theunissen 09:50 09:52 2 Brandfort 40:25 10:27 2 Bloemfontein 41:15 11:45 30 Kimberley 14:50 Source: www.metrorail.co.za 1.1 On which day of the week does this train from Durban arrive in Kimberley 1.2 How long, in hours, was the total train journey from Durban to Kimberley? 13 Not counting stops, the actual travel time for the train journey is 17 hours 36 minutes and the distance between Durban and Kimberley is 842 km. Caleulate the average speed, in at which the train is travelling. You may use the formula: Distance = speed x time 1.4 James travels from Durban to Brandfort on the same train. He needs to board a bus in Brandfort that is leaving the bus station at 11:00. It takes 5 minutes to walk from the train station to the bus station. Determine whether or not James will be in time to board the bus. Show ALL the necessary calculations. Copyright reserved Please turn over 2) (4) 4) (4) [14]

~ Downloaded from hlayiso.com Mathematical Literacy P2 NSC June 2017 Common Test 4 QUESTION 2 21 Jabulani Xhosa is the hockey coach at school. The school needs to re-mark the outside boundary lines of the hockey field and re-grass one of the semi-circular goal areas of the hockey field, The dimensions of the hockey field are: length = 98m and breadth = 75m Ggal post + The following formulae may be used: Perimeter of a rectangle = 2 (7 + b), where / = length and b = breadth Area of a circle = a x (radius), using « = 3,142 211 Calculate: (a) the total length of the boundary lines of the hockey field that need to be re-marked. (b) the area of the ONE of the goal areas of the hockey field, if the radius is 16 m. 21.2 If it takes 30 minutes to re-mark 8,5 m of boundary lines, calculate how long, in hours, it would take to re-mark 100 m of boundary lines. 2.1.3 The paint to re-mark the grounds cost R75,00 per litre excluding VAT. Calculate the cost including VAT for 5 £ of this paint. Copyright reserved . Please turn over (3) (4) GB) (4)

Downloaded from hlayiso.com Mathematical Literacy P2 NSC June 2017 Common Test 2.2 5 The hockey team has TWO matches left for the season. TREE DIAGRAM: POSSIBLE RESULTS FOR THE LAST TWO MATCHES 1° match Possible Possible Possible Outcome for Outcome Outcome the two matches of 1 match of 2nd match Win(w) ——> WW _——_} 2.2.1 (A) Win (W) a Lose (L) Draw (D) ———-p» wp Win(W) = —_» LW 1" Match Lose (L) Lose (L) an LL Draw (D) ———> 2.2.1 (B) Win(W) ——> 2.2.1 (C) Draw (D) Lose (L) 9 ——> DL Draw (D) DD Study the tree diagram and answer the questions that follow: 2.2.1 Write down the possible outcome A, B and C. 2.2.2 Determine the probability of the team losing both matches. Copyright reserved Please turn over 6) (2) [19]

~ Downloaded from hlayiso.com Mathematical Literacy P2 NSC June 2017 Common Test 6 QUESTION 3 3.1 Mrs Hadebe’s runs a small tuck shop from her house. She sells sweets, chips, cans of cool drinks and vet koek. Once a week she buys 6 cases of cooldrink for R162,95 a case. Bach case consist of 4 six-packs of cool drink. Each can has 330 ml of cooldrink in it, At the end of the week all her cooldrinks are sold. She sells the cans at R9,00 each. www. pricecheck.co.za 3.1.1 Determine the cost price per can of coo! drink. (5) 3.1.2 Calculate Mrs Hadebe’s percentage mark-up on cool drinks, You may use the formula: Selling Price ~ Cost Price % 100% Percentage mark-up = Cost Pri (3) OS rice 3.1.3 Calculate the total weekly profit Mrs Hadebe makes from the buying and selling of the cool drinks. (5) 3.2 In Mrs Hadebe’s tuckshop she has a fridge to keep the cooldrinks in, shelves to place the sweets and chips on and a table for the vet koek. Layout A Door to her Shelve Window through home which she sells I 70 mm her goods Fridge | Table | The measured distance on the Layout A from the table to the window is given in the layout above. Is the unit of measurement used in layout A appropriate and why? (4) [17] TOTAL MARKS : 50 Copyright reserved

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Downloaded from hlayiso.com Mathematical Literacy P2 NSC Jane 2017 Common Test « 3 “Mathematical Literacy P2 NSC June 2017 Common Test 3 QUESTION 2 [19 marks} Ques { Solution Explanation Topie/L 2.1.1 | Perimeter ofa rectangle = 2(7 + 5) ¥ M @ =2(98m+ 75m) “SF 1SF substitution =2x173m ¥S 1S simplification | L2 =346m YCA 1CA solution OR . YA YA Perimeter of a rectangle = 98 m +75 m+ 98 m+ 75 m 1A for 1 length and breadth =346m YCA 1A for 2"! length and breadth 1CA solution QB) YM M 2.1.1 | Area of goal area = 0,5 x 7X (radius)? IM dividing by 2 ) 2 = 05% 3,142 «(16 my “SF 1SF substitution YCA = 402,176 mm? YA 1CA solution 1A unit OR Area of goal area = 7 x (radius)? 2 ¥M IM dividing by 2 =3,142x16 SF 2 1SF substitution YCA . = 402, 176 m? VA 1CA solution } LA unit (4) F 2.1.2 | 30 min=0,5 hour YC ; 1C conversion LA . . _ 100 YM } Time to paint 100 m= 35 x 0,5 IM dividing = 5,88 hours YCA . ICA time (3) Copyright reserved Please tum over Ques | Solution Explanation Topic/L M 2.1.3 | Cost of paint = 5x R75,00 YMA 1MA multiplying =R375,00 YA 1A simplification | L3 Cost including VAT = R375,00 x 1,14 YM 1M calculating =R427,50 VCA vaT 1CA solution OR nr _ 114 y, 1M calculating - Cost including VAT = R375,00 x 755 M VAT =R427,50 VCA 1CA solution . OR . Cost including VAT = 375,00 +R52,50 YM wt Galeulating =R427,50VCA. 1CA solution @ VA P 22.1 )A =WL 1A solution. 4 B= LD VA 1A solution, c=DW YA 1A solution @) y P 222 p= 1 A 1A numerator — 9 vA 1A denominator L2 (2) 119} Copyright reserved Please turn over

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