M.LIT March QP Memo 2019

KwaZulu-Natal Department of Education REPUBLIC OF SOUTH AFRICA | NATIONAL __ SENIOR CERTIFICATE — ie MATHEMATICAL LITERACY iH " COMMON TEST f r MARCH 2019 " MARKS: 100 | TIME: 2 hours | This question paper consists of 10 pages, two ANSWER SHEETS and an addendum with | Annexure (3 pages) Copyright reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 2 March 2019 Common test NSC INSTRUCTIONS AND INFORMATION 1. This question paper consists of FOUR questions. Answer ALL the questions. i) Use ANNEXURE A in the ADDENDUM to answer QUESTION 2 22 Answer QUESTION 3.1.4 on the attached ANSWER SHEET |. 2:3 Answer QUESTION 4.1.5 on the attached ANSWER SHEET 2. 2.4 Write your surname and name in the spaces provided on the ANSWER SHEETS. Hand in the ANSWER SHEETS with your ANSWER BOOK. 3. Number the answers correctly according to the numbering system used in this question paper. 4. Start EACH question on a NEW page. 5. You my use an approved calculator (non-programmable and non-graphical). unless stated otherwise. 6. Show ALL calculations clearly. 7. Round of ALL final answers approximately according to the given context. unless stated otherwise. 8. Indicate units of measurement, where applicable. 9 Maps and diagrams are not necessarily drawn to scale. 10. Write neatly and legibly. Copyright Reserved Please Turn Over

Mathematical Literacy QUESTION 1 Downloaded from hlayiso.com March 2019 Common test NSC Tom likes chocolate mousse. His wife refers to the recipe below to make the chocolate mousse for him. Study the recipe below and answer the questions that follow. CHOCOLATE MOUSSE RECIPE INGREDIENTS METHOD 200 g dark chocolate 30 m/ brandy (optional) 3 eggs. whites only 60m castor sugar 100 mf cream Grate 50 g dark chocolate, break the rest into small pieces and melt in a pot. Stir in brandy (if using). Whisk egg whites until stiff and add sugar and whisk until smooth. Fold in whipped cream and add two thirds of grated dark chocolate. Spoon the mixture into 6 bowls. sprinkle the remaining grated chocolate and chill in the fridge for 2 hours Preparation time: 10 minutes Cooking time: 5 mintites Servings: 6 [1.1 Determine the total time (in hours) to prepare and cook the chocolate mousse. 2 1.1.2 Convert the weight of dark chocolate to kilograms. (2) 1.1.3. Write down the ratio of castor sugar to brandy in simplest form. (2) 1.1.4 Determine the number of grams of grated chocolate that will be added to folded whipped cream. 1.1.5 If Tom’s wife started making the mousse at 11:55, at what time will it be ready for eating? Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy | March 2019 Common test NSC Tom and his friend John are the homeowners who stay in Ladysmith. Tom uses a prepaid electricity meter and John uses a postpaid electricity meter. The charges per kilowatt hour (kWh) for postpaid and prepaid meters are shown below. Use the information above. Table 1 and Table 2 to answer the questions that follow. TABLE 1: Showing the charges per kWh for postpaid meter 2017/2018. Category Number of kWh Charge per kWh excluding 15% VAT Block | 0 — 350 kWh R1.3280 ___ Block 2 351 — 650 kWh R1.6365 Block 3 651 — 1500 kWh R1.9313 Block 4 > 1500 kWh R2.3597 Basic charge : R100 Source: www.ladysmithgazette.co.za TABLE 2: Showing the charges per kWh for prepaid meter 2017/2018. Category Number of kWh Charge per kWh excluding 15% VAT Block | 0— 100 kWh R1.0965 Block 2 | 101 350 kWh R1.1734 Block 3. 350 — 650 kWh R1.6367 Block4 | >_ 650 kWh R1,9484 Source: www.ladysmithgazette.co.za 1.2.1 John and his family consumed 100 kWh in July 2017. Calculate the total amount including VAT that John will pay. (5) 1.2.2. Tom and his family consumed 100 kWh in July 2017. Calculate the total amount including VAT that Tom will pay. (4) 1.2.3. Hence calculate the difference in John’s and Tom's total amounts. (2) [22] Copyright Reserved Please Turn Over

Downloaded from hlayiso.com NSC Mathematical Literacy March 2019 Common test QUESTION 2 2.1 | Mr and Mrs Dube accompany their daughter to the University of Pretoria to further her studies. The Dube family lives in Dundee. On their way they pass the e-tolls. After three weeks from the date of their journey. they received the account statement from SANRAL. The statement is shown in ANNEEXURE A in the addendum. Use the above information and ANNEXURE A to answer the following questions. 2.1.1 Give the operating times for SANRAL call centre. (2) 2.1.2 Wrile the operating times for SANRAL call centre in a 24 hour format. (2) 2.1.3. According to the statement, how many days did their journey take? (2) 2.1.4 Show how the VAT amount of R8.43 was calculated. (3) 2.1.5 (a) How much is the discounted amount payable by 04/03/2019? (2) (b) What percentage of the total amount due is the discounted amount? (2) 2.1.6 How long (in minutes and seconds) did the Dube family take to drive from Mpshe e-toll gantry to Kiewiet e-toll gantry’? (2) 2.1.7 Starling and Rooivink charge the same tariff, give one pair of toll points which charge the same tariff. (2) Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 6 Mareh 2019 Common test NSC i) i) Mr Dube earns a monthly basic salary of R28 550.75. He is 64 years old. The pension fund contribution is 7.5% of the basic salary. An adapted tax table for 2018/2019 is shown below. Use the information above and Table 3 to answer the questions that follow. TABLE 3: — Tax rates table for 2018/2019 Taxable income in Rands Rate of tax in Rands 0-195 850 18% of taxable income 195 851 = 35 253 + 26% of taxable income above 195 850 305 851 — 63 853 + 31% of taxable income above 305 850 423 301 100 263 + 36% of taxable income above 423 300 | TAX REBATES | Primary R14 067 Secondary (Persons 65 and older R7 713 | ‘Tertiary — (Persons 75 and older) R2 574 2.2.1 Calculate Mr Dube’s annual basic salary. (2) 2.2.2 Calculate Mr Dube’s annual taxable income. (3) 2.2.3. Give the minimum and maximum amounts between which Mr Dube’s annual taxable income fall? (2) 2.2.4 Define the term fax rebate . (2) 2.2.5. Ifan employee earns an annual taxable income of R305 850. calculate how much is above the taxable income (2) [28] Copyright Reserved Please Turn Over

Downloaded from hlayiso.com NSC Mathematical Literacy March 2019 Common test QUESTION 3 ios) Dineo, a Grade 12 learner. wants to study Nursing at the University of Kwa Zulu Natal next year. Dineo decides to be proactive and plans to save RS 000 to cover her registration fee to study Nursing. She decides to make her own doughnuts and sell the doughnuts at the local market once a month. The doughnuts cost R1.60 each to make. She will sell the doughnuts for RS cach, The local market also charges R340 to hire a stall for the day. Table 4 below represents Dineo’s Income and Expenses. The equations for Income and Total expenses are given below: Income = R5 x number of doughnuts sold Total Expenses = R340 + (R1,60 x number of doughnuts made) Table 4: Shows Dineo’s Income and Expenses. 1 | Number of 0 50 | 200 | 500 | 750 | 1000 doughnuts sold Income (Rands) a R250 | R1000 | R2 500 | R3 750 A otal Expense 34g | R420 B | RI140 | R1540 | R1 940 (Rands) | 3.1.1 Calculate A, the income received for selling 1 000 doughnuts. (2) 3.1.2 Calculate B. the total expense for making and selling 200 doughnuts. (2) 3.1.3 Calculate the profit made on 750 doughnuts. Show all calculations. You may use the following formula Profit = Income — Total Expenses (2) 3.1.4 Complete the Graph on ANSWER SHEET 1 to represent Dineo’s Expenses. (3) 3.1.5 Verify by calculation if at break-even point Dineo will cover the registration fee. How many doughnuts Dineo must sell to cover the registration fee of R5 000 and make a profit. (5) Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 8 March 2019 Common test NSC 3.2. The South African National Budget highlights the Revenue (Income) and Consolidated | | Spending (Expenses) for the year 2018/2019. | | Table 5: South African National Budget for the year 2018/2019 Porsanal bnecorme tax VAT | Corporate incame tax Other | | Fuel levies / Customs and excise duties | 252: 1: - Learning and culture | 4 ae a oe Social development R205.4bn Health Peace and security Economic development R194.2bn Other RG64.0bn General public services Source: www. general. household.survey.org Use the information above to answer the questions that follow. 3.2.1 Consolidated Spending for 2018/2019 has not been totalled. Calculate the total amount spent by the South African Government. (2) 3.2.2. Verify using calculation that the National Budget has a Deficit balance. (2) 3.2.3. Analyse the budget and make a recommendation as to how to reduce the consolidated spending to improve the country’s finances. (2) 3.2.4 Is the amount of R205.4 billion spent on Health sufficient? Justify your answer. (3) [23] Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 9 March 2019 Common test NSC QUESTION 4 4.1 I'he Survey conducted by Statistics South Africa indicate the number of individuals who belong to a Medical Aid Scheme. Table 6: Numbers (in thousands) covered by a medical aid sc heme from 2002-2017 Indicator | {Numbers in T , thousands) _ 2002| 2004] 2008 2009 | 2010] 2011) 2012] 2073) 2014) 2015| 2076] 2017 Numbe | | medical a 8057] 8502] 8967} 8312] 9157) 9608) 9470) 9307] 9 447 Year scheme 72asd| 72 nN a ca Number not covered by a medical aid scheme 38 445 | 39 666] 41 266] 41 284 | 41 606] 43 013) 42 619] 43 300 | 43 946 | 45 965 | 45 646 Subtotal — 45 728) 46 934 | 49 322] 49 786 | 50 573] 51 325 | 51 976 | 52 908 | 53 416 | 54 372 | 55 093 Percentage covered by a medical aid scheme 159} 155] 16,3] 17.4] 17,7] 162] 17,6] 18,2) 177) 174] 174] 16.9 Do not know 140 se] 104 19 23 0 58 36 16 1 33 24 Unspecified 53 ST 56] 347] 254) zag} zat] = 16a] 451] 308] ard] 369 Total population 45 921 | 47 049| 49 479] 50 152 | 50 350 | 51 574 | 52 325] 53 104 | 53 912 | 54 750| 55 620 | 56 522 Source: www. stdissd. ZOv. 2d. Use the information above to answer the questions that follow: 4.1.1 Write the 2017 Total population in words. (2) 4.1. to Show by calculation how the Total population of 50 850 was calculated. (2) 4.1.3) Describe the trend in the number not covered by a medical aid scheme. Give a reason for this trend. (3) 4.1.4 Calculate the mean and median number of people [rom 2010 to 2017 covered by a medical scheme. Determine which measure of central tendency provides the best representation of the data. (7) 4.1.5 Complete the graph on ANSWER SHEFT 2 to represent the Percentage covered by a medical aid scheme. (5) Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 10 March 2019 Common test NSC 4.2. The graph below shows the percentage of individuals who are members of medical aid schemes by metropolitan area for 2017. Source: www.statssa.gov.za Use the above information to answer the following questions 4.2.1 Ifapproximately 3,7 million people live in eThekwini, determine the number of people who belong to a medical aid scheme in eThekwini. (2) 4.2.2 The mean for the given set of data above is 23,6%. Determine the value of X, the percentage of individuals who are members of medical aid schemes in Mangaung. (4) 4.2.3. Give a valid reason why do the City of Cape Town and Tshwane have a higher percentage of people who belong to a medical aid scheme? (2) [27] TOTAL: [100] Copyright Reserved Please Turn Over

Downloaded from hlayiso.com \ | Mathematical Literacy i March 2019 Common test NSC ! ANSWER SHEET 1 | QUESTION 3.1.4 NAME: 7 CLASS: — \ | | Dineo's Income and Expenses | | 5000 ( | 4500 | \ | 4000 | | 3500 | | | 2 3000 < | S = | s 2500 lg | 3 2000 | & | < | 1500 | | 1000, | \ 50) | ane | | 0 = ae — | 0 100 200 300 400 500 600 700 800 900 1000 ! Number of doughnuts | \ | | | | Copyright Reserved Please Purn Over

Downloaded from hlayiso.com Mathematical Literacy March 2019 Common test NSC ANSWER SHEET 2 NAME: 7 CLASS: QUESTION 4.1.5 Percentage covered by a Medical Aid Scheme 19 : wy lad 17,6 17+} }-—16,2 16 : : 13 le a rr 10 Percentage wn | | | | | nw & Qt 2010 2011 2012 2013 2014 2015 2016 2017 Year Copyright Reserved

Copyright Reserved . Education KwaZulu-Natal Department of Education REPUBLIC OF SOUTH AFRICA NATIONAL SENIOR CERTIFICAT MATHEMATICAL LITERACY " COMMON TEST : ADDENDUM : MARCH 2019 : N.B. This addendum consists of 3 pages with 1 Annexure. Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 2019 March Common Pest NSC- Addendum ANNEXURE A QUESTION 2 -_toll SANRAL IM Dube TAX INVOICE Box 7836 Computer Generated Melmoth SANRAL- violation Processing Centre (VPC) 3935 Private Bag x 164 CENTURION 0046 VAT NO. 4220186250 Call Centre: 0800 SANRAL (726 725) 6am — 10 pm E-mail: info(@sa-etoll.co.za Website: www.sanral co.za VPC account ID/ 14357 482711 | VPC tax invoice RefNo. | 134574468 Payment Reference Vehicle Licence Plate No. NO 76500 Customer VAT No. N/A ‘Invoice date 2019/02/04 Identification No. RSA ID doc 580729 5743 08 1 Email JA Period 14/01/2019 to 14/01/2019 Dear Mr Dube Your e-toll Tax Invoice is a consolidation of your e-toll transactions for the vehicle licence plate No.. including VAT. for the period. Please refer to the payment terms below for any possible discounts. INVOICE DETAILS Description VAT Rate | VAT amount | Invoice Amount (incl. VAT) [1 e-toll transactions during the period (details below) 15% R8.43 R64.62 Discounted amount payable for this invoice by R32.31 | 04/03/2019 PAYMENT OPTIONS Payment Reference Number: 14357482799 EFT: SANRAL-VPC First National Bank Corporate Banking ~~ Account No. 62280209136 — Branch code: 250655 FNB: Over the counter using your reference number above. or at any advanced FNB ATM which has a note accepting facility. Customer service centre: Refer to www.sanral.co.za for locations Call centre: Pay using your Credit Card securely or discuss payment options Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 2019 March Common Test NSC - Addendum STATEMENT OF ACCOUNT Description Account t balance ( incl. VAT) Total discounted amount payable for this VPC Account by 04/03/2019 R32,31 Total amount due for this VPC Account ‘if not paid by 04/03/ 2019 Ro4.62 toll SANRAL Transaction Details for VPC Tax Invoice Ref No.134574468 Transaction | Transaction Date & | Toll Toll point Detail | Vehicle | Standard/VLN | Alternate Tariff Number Time Agency Class Tariff (incl. (inch VAT) VAT) 4011871101 | 14/01/2019 GORI N3:124 Mpshe A2 R234 PRES 07:14:29 am | 4011792118 | 14/01/2019 GORI N3: 122: Starling | A2 R291 R589 07:18:41 am 4011857590 | 14/01/2019 GORI N3: 120: Kiewiet AQ R2.73 R5.46 07:23:10 am 4011798511 | 14/01/2019 GORI N3: T18: Leeba A2 R2.56 R512 | 07/26/41 am 4011755747 | 14/01/2019 GORI NI: 17 :Ihobe A2 R3.98 R7.96 07:33:26 am 4012432258 | 14/01/2019 GORT NE. T6:Flamingo A2 | R327. «| ROSA 12:17:49 pm | 4012454199 | 14/01/2019 GORT NI -T8: Sunbird A2 R3.98 | R7.96 12:24:07 pm 4012518718 | 14/01/2019 GORT N3: 119 Ibis A2 R2.56 R5.12 12:28:52 pm 4012454556 | 14/01/2019 GORI N3: 121 -Kwikkie A2 R2.73 R546 12:33:13 pm 4012339610 | 14/01/2019 GORT | N3:723:Rooivink | A2 R291 R582 | 12:38:01 pm 4012475755 | 14/01/2019 GORI N3:125:Oxpecker | A2 R234 R468 12:41:56 pm Discounted Invoice amount nt pay able by 04/03/2019 R32,31 Total invoice amount without discounts i — ROS02 | Source: www.sanral.co.za Note: The oldest debt will be settled first, If you fail to pay your toll fees within the prescribed period. you will be liable for the full value indicated herein. The total amount payable is indicated under the Statement of account. No cash payments by post or cheque will be accepted. Copyright Reserved

Downloaded from hlayiso.com i = Mathematical Literacy 2 2019 Mareh Common Test | NSC- Marking Guid [Question 1 | 22 MARKS] _ _ j ucs_| Solution - _[Explan: — Education M1 fal ime inutes = 60 YMA IMA dividil , = 0.25 hours “CA ICA time KwaZulu-Natal Department of Education hours be time | 112 | Weight=200e = 1000 7MA_ IMA dividi TN =02 ke VA TA weight in jul sagcaces nD | AO - MATHEMATICAL LITERACY T13_| Caster sugar brandy a ~ " 60 mf: 30me VA 1A both correet values and ratio " COMMON TEST | 2 1S ovider correct ation " " MARKING GUIDELINE — _ a iH A MARCH 2019 PTs YM YM NATIONAL 11:55 + 15 minutes + 2 ho SENIOR CERTIFIGATE APD CK 12 ~ —= — MARKS: 100 GRADE 12 . 1M multiplying by correct rave t 1A amount 13 SYMBOL EXPLANATION 80) ¥M | IM adding 15% VAT M Method ICA amount mel VAT MA Method with accuracy _ I : i \ J; CA Consistent accuracy _| oN of A Curae | : =~ ae yy - | vA vA 1A adding = € ONVETS}On Yotal amount = RiM0 + (100 kWh * R1,3280) IM multiply | $ Simplification = = R232.80 ¥CA | ICA amount | RURGIRD/RM om a table/ graphy diagram/Map j | | [SI “orrect substitution in a formula | Amount incl, VAT =R232,80 » 1,15 YM - | O Opinion! reason/deduction/example/Ex planation = R267.72 VCA IM multiplying by 1,15 OR | i) Justification ICA amount inel VAT | R Rounding off Fo | deriving a formula Accept calculation with 14% AO ‘Answer only full marks E Penalty e.g. for units, incorrect rounding off ete. (3) NPR No penalty for rounding / units a _ — a . This marking guideline consists of 9 pages. | Copyright Reserved Plbage TinnsOver | Copyright Reserved Please Tura Over

Mathematical Literacy Downloaded from hlayiso.com 3 NSC- Marking Guideline 2019 March Common Test Mathematical Literacy 4 2019 March Common Test NSC- Marking Guideline 2.1.5 (a) | Discounted amount = R32.31 YY RI HI —_ 2RT correct amount | Thobe and Sunbird YW RT Any correct pair | yk R3231 TM percentage concept lr erc ge = ——— Sy ¥ | 2.1.s(p) | Peteentage = «100% 7M nn 50% YA 1A percentage | [Ao 2.1.6 [Time taken =07:2210-07:14:29 YM | [Msubiraction M = 08 minutes 41 seconds VA JA time duration (2) 2 217 Mpshe and Oxpecker YYRT ] _ M OR [IRV correct pair li Kiewiet and Kwikkie YY RT | OR | Leeba and Ibis YY RT | OR 12.2] Total amount = 100 kWh = RI0965 “MA TMA multiplying by eorrect rate =R109.65 YCA ICA amount Amount inel. VAT =R109.65 + (15% * R109,65) “M_—_] IM adding 15% VAT OR =R126,10 ¥CA _ i OR 115 OR T= Total amount = 100 kWh » R1,0965 YMA ICA amount = R109,65CA Accept calculation 14% Amountinel. VAT = R109,65 x 1.15 “M 4) R12610 CA 1.2.3. | Difference = R267, R126,50 YM CA from 1.2.1 and 1.2.2 F =RI1I41.62 ¥CA IM subtracting values Li ICA difference (2) - — [22] ISTION 2 [28 MARKS| _ “) | 6am=l0pm¥¥RT 2RT correct times M a - a (2) [Ll 2.12 06:00 - 22:00 ¥VWA 2A correct format for both values. iM - a (2) | LI Ris | Tday A 2A correct no.of days M (2) | LI Zid 04.6 IM dividing by 1,15 Amount exel. VAT = “: = vM ED i 1A amount exel. VAT t = RS5619 WA = a 1M multiplying by 15% 12 Amount of VAT =R56,19 x = ”M 100 = R8A285 = R843 oR oR 100 0 1M multiplying by — Amount exel VAT = R64,62 « Mv Pome ey 15 11S 1A amount exel. VAT | =RS619 VA Amount of VAT = R56,19 x 15% 7M 1M multiplying by 15% = R843 =~ OR OR VAT amount = R64.62 * JS vy~M Ils IM multiplying by 15 = R8,428695652 A IM Dividing by 115 = R843 1A VAT amount a) Copyright Reserved Please Turn Over Copyright Reserved Please Turn Over

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Downloaded from hlayiso.com Mathematical Literacy 9 NSC- Marking Guideline 2019 March Common Test [ans a a DIT] | Percentage covered by a Medical Aid L3 | | Scheme | | | | | 9 EOS = | c 2010 2011 2012 2013 2014 2015 2016 2017 - Year 1A per bar «3 bars vv vv (5) ~ | Number of peopie who belong to medical aid in Ethokwini Dit =3 700 000 » 19.6% YMA IMA Multipiying by 12 - 19.0% = 725 200 people A IA Correct number of people a oe AO (2) 422 sum of data DI Mean = —Sumof data Pi number of values - 23,6 = 22A420.14 28.5423, 74 21T+ 41964194 pa, IM concept of mean 8 188.8=167.2+X VS IS simplification 88.8-167.2 YM IM subtraction 16 YCA ICA answer 4) 4.2.3 | Larger metropolitan area where more people are employed YYO [2G Opinion Q) | DH - 4 — - oe [27] L | TOTAL MARKS: — [100] Copyright Reserved