NATIONAL SENIOR CERTIICATE NATIONAL SENIOR CERTIICATE GRAE 10 ATHEATICAL LITERACY P1 EXEPLAR 2012 ARKS: 75 TIE: 1½ hours This question paper consists of 9 pages.
athematical Literacy/P1 2 BE/2012 INSTRUCTIONS AN INORATION 1. This question paper consists of IVE questions. Answer ALL the questions. 2. Number the answers correctly according to the numbering system used in this question paper. 3. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. 4. Show ALL the calculations clearly. 5. Round off ALL the final answers to TWO decimal places, unless stated otherwise. 6. Start EACH question on a NEW page. 7. Write neatly and legibly.
athematical Literacy/P1 3 BE/2012 QUESTION 1 Lindi makes her own porridge every morning before she leaves for school. She needs water, mealie meal, salt and margarine to make this porridge. The table below shows conversions between millilitres (ml) and grams (g) for certain ingredients used in cooking. TABLE 1: Conversion table Ingredients 5 ml 12,5 ml 100 ml 250 ml lour 3 g 8 g 60 g 150 g argarine 5 g 12,5 g 100 g 250 g ealie meal 3 g 6 g 50 g 120 g Sugar 4 g 10 g 80 g 200 g 1 cup = 250 ml; 1 tablespoon = 12,5 ml; 1 teaspoon = 5 ml Use the information and the table above to answer the following questions: 1.1 The porridge has to simmer (cook slowly) on a low heat for 3 1 of an hour. Write this time in minutes. 1.2 How many grams of sugar make up 100 ml of sugar? (1) 1.3 Lindi stirs 1 tablespoon of margarine into the porridge. How many grams of margarine is this? (3) 1.4 Lindi first boiled 4 cups of water. How many litres of water is this? (3) 1.5 Lindi has a 2,5 kg bag of mealie meal to make the porridge with. 1.5.1 Convert 2,5 kg to gram. 1.5.2 How many times can she make porridge from a full 2,5 kg bag if she uses 312,5 g of mealie meal each time she makes it? 1.6 The picture below shows the control dial/knob of the stove plate on which Lindi boils the water. Key: 0 is off 1 is the lowest setting 6 is the highest setting Lindi has to let the porridge simmer on a low heat. On which number should she set the dial/knob? [15]
athematical Literacy/P1 4 BE/2012 QUESTION 2 The data below represents the weekly pocket money (spending money) in rand that learners in a Grade 10 class in Vulumzi High School receive. 15 7 15 8 20 6 9 7 10 15 7 15 5 5 15 8 15 23 8 23 8 2.1 Arrange the values in ascending order. 2.2 What is the mode of the pocket money? 2.3 etermine the maximum amount of pocket money a learner in this Grade 10 class received. 2.4 etermine the median pocket money. 2.5 Calculate the mean pocket money. (4) 2.6 Suppose one of these learners is selected at random. What is the probability that this learner would get R7 pocket money per week? Give your answer as a fraction in simplified form. (3) [15]
athematical Literacy/P1 5 BE/2012 QUESTION 3 3.1 Below is the till slip s Xander received for her shopping at Shop 'n Go. SHOP 'N GO Telephone No.: 048 850 2132 Your cashier is Phumla Jakè. Carry Bag 24 l 2 @ 0,39 Rocher T8 Heart 100 g Nescafé Cappuccino Choc Zillions ruit Chews 4 @ 2,99 icrowave Popcorn Butter 3 @ A Cookies Brownies 225 g Crackers Original S/G Still Spring Water 500 ml NN Lemon Creams 200 g Sugared Gummy Tub 300 g Orbit Professional White Gum angoes 2 @ 4,00 1 PAR Gouda Seal Wedge JIVE Tropical Cup 150 ml anta Zero 2 l Rapport Koerant 1's Still Spring Water 1,5 l Sprite Zero 2 l Ice Cream Chocolate UE VAT INCL. CASH ROUNING CHANGE TOTAL ITES ------------------TAX INVOICE-------------- VAT included @ 14,0% Zero rated # 0,78 31,99 46,99 11,96 32,97 24,99 3,99 4,29 6,99 21,99 6,79 8,00 # 18,90 14,50 14,89 13,00 6,99 14,89 39,99 324,89 400,00-0,04...... 38,92 Use the till slip to answer the following questions: 3.1.1 How many items did s Xander buy? 3.1.2 Calculate A, the price per unit of the microwave popcorn. 3.1.3 Calculate the total amount due after rounding if Shop 'n Go rounded the total down to the nearest 5 cent. 3.1.4 How much change must the cashier give back to s Xander? 3.1.5 Zero-rated items mean that no VAT is charged on those items. Name the item that is zero rated on s Xander's till slip. 3.1.6 How much VAT did s Xander pay in total for her shopping?
athematical Literacy/P1 6 BE/2012 3.2 r Khulu, a father of three children, earns a net salary of R18 350 per month after deductions. He budgets every month as follows: TABLE 2: r Khulu's budget for ecember ONTHLY INCOE ONTHLY EXPENITURE Salary after deductions R17 800 Bond repayment R4 100 Housing subsidy R 550 unicipal rates R 475 Water and refuse account R 325 Electricity R 580 ood R2 750 Car instalment R1 650 Petrol R1 800 Entertainment R1 300 School fees R 940 Clothes and cellphones (12% of the total monthly income) (A) TOTAL R18 350 TOTAL (B) 3.2.1 Name ONE fixed expense. 3.2.2 r Khulu calculated that the value of A is R2 202. Show how r Khulu calculated A, the amount of money he anticipates spending on clothes and cellphones in ecember. 3.2.3 Calculate the total expenditure (B). 3.2.4 How much money does r Khulu have left after paying all his expenses? [20]
athematical Literacy/P1 7 BE/2012 QUESTION 4 Below is the layout of stores at ankinki all. The key explains the symbols on the layout. KEY 4.1 How many restaurants are there in this mall? 4.2 Carefully study the numbering system used in this mall. Restaurant Camera shop Electrical appliances shop Sports shop Optometrist Pharmacy Toilets amily clothing shop What is the number of the optometrist's shop? 4.3 pho walked from shop 13 to shop 35 along the route shown by the dotted line. The scale used on the layout is 1 : 500. 4.3.1 Explain what the scale 1 : 500 means in terms of the measurements on the plan and the actual distance. 4.3.2 If the scale distance from shop 35 to shop 13 is exactly 180 mm, determine the actual distance in metres that pho walked. (3) 4.4 Paul has to meet his girlfriend at ankinki all. He enters the mall through Entrance 1, then turns right. At shop 41 he turns left and finds his girlfriend at the last shop on the right-hand side. What type of shop is this? [11]
athematical Literacy/P1 8 BE/2012 QUESTION 5 5.1 Riaan, the manager of the school tuck shop, keeps a record of the different types of cooldrinks in cans that he sells. He uses this information to plan his order for the next week. The pie chart below shows the percentage of each type of cooldrink sold in one week. KEY Symbol A B C E Type of cooldrink Coca-Cola Lemon Twist anta Orange Stoney Other COOLRINKS SOL IN ONE WEEK E 9% 7% C A 55% B 12% 5.1.1 Name any TWO cooldrinks that could be regarded as 'Other'. 5.1.2 What percentage of the cooldrinks sold are anta Orange? 5.1.3 Name the cooldrink of which Riaan sold the most in that week. 5.1.4 Riaan buys cooldrinks in the same ratio as on the pie chart. If he selected a cooldrink at random, what is the probability that he selects a can of Coca- Cola?
athematical Literacy/P1 9 BE/2012 5.2 rs Sindimba is interested in buying the new lounge suite shown in the advertisement below. SAVE R500 Now R4 999 R500 eposit. R263 per month 24 months 5.2.1 Show that the original price of this lounge suit was R5 499. 5.2.2 etermine the percentage discount offered on this lounge suite, using the following formula: amount saved Percentage discount = 100% original price 5.2.3 Suppose rs Sindimba decides to buy the lounge suit on hire purchase as advertised by the store. etermine the total amount she would have to pay. Use the following formula: Total amount paid = deposit + monthly payments number of months [14] TOTAL: 75
NATIONAL SENIOR CERTIICATE GRAE 10 ATHEATICAL LITERACY P1 EXEPLAR 2012 EORANU ARKS: 75 Symbol A CA A C S RT/RG S O P R Explanation ethod ethod with accuracy Consistent accuracy Accuracy Conversion Simplification Reading from a table/reading from a graph Correct substitution in a formula Opinion/Example Penalty, e.g. for no units, incorrect rounding off, etc. Rounding off/reason This memorandum consists of 6 pages.
athematical Literacy/P1 2 BE/2012 emorandum QUESTION 1 [15] Ques Solution Explanation Topic A A 1.1 1 60 = 20 minutes 1 A multiply 60 3 1 A answer 1.2 80 g A 1A reading from the table 1.3 1 tablespoon = 12,5 ml A 12,5 ml margarine = 12,5 g A A Lindi added 12,5 g of margarine 1.4 Amount of water used = 4 cups = 4 250 ml = 1 000 ml A = 1 litre C 1.5.1 1.5.2 2,5 kg = 2,5 1 000g = 2 500 g C Number of times she can make porridge = 2 500 g 312,5 g = 8 CA 1A tablespoon to ml 2A ml to g (1) (3) 1 multiplying 1A ml 1C conversion to litre (3) 1 multiplying 1C conversion to grams 1 dividing 1CA simplification 1.6 To simmer turn knob to 1. A A 2A answer [Accept values below 3 but more than 0]
athematical Literacy/P1 3 BE/2012 emorandum QUESTION 2 [15] Ques Solution Explanation Topic 2.1 5 5 6 7 7 7 8 8 8 8 A 9 10 15 15 15 15 15 15 20 23 23 2A arranging 2.2 ode is R15 A 2A answer 2.3 R23 A 2A answer 2.4 edian = R9 A A 2A answer 2.5 ean = 5 + 5 + 6 + 7 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10 + 15 + 15 21 A 15 + 15 + 15 + 15 + 20 + 23 + 23 + 21 R244 = CA 21 = R11,62 R12 CA 2.6 Probability (R7) = number of learners getting R7 total number of learners 3 = 21 A A 1 = CA 7 1 adding 1A number of entries 1CA sum 1CA rounded off answer 1A numerator 1A denominator (4) 1CA simplified answer (3) P
athematical Literacy/P1 4 BE/2012 emorandum QUESTION 3 [20] Ques Solution Explanation Topic 3.1.1 Total number of items = 26 A A 2A answer 3.1.2 R32,97 Unit price = 3 = R10,99 1 dividing 1A simplification 3.1.3 Total amount = R324,85 A A 2A answer 3.1.4 Change = R400 R324,85 = R75,15 CA 3.1.5 angoes A A 2A answer 3.1.6 R38,92 A 2A answer 3.2.1 Bond repayment OR Rates OR School fees OR Car instalment (any one) A A 2A answer 1 subtracting from R400 1CA answer 3.2.2 A A: 12% R18 350 = R2 202 1 percentage 1A correct value used 3.2.3 B: R4 100 + R475 + R325 + R580 + R2 750 + R1 650 + R1 800 + R1 300 + R940 + R2 202 = R16 122 CA 3.2.4 R18 350 R16 122 = R2 228 CA A 1 adding 1CA answer 1 subtracting 1CA answer
athematical Literacy/P1 5 BE/2012 emorandum QUESTION 4 [11] Ques Solution Explanation Topic 4.1 2 A A 2A number of restaurants 4.2 38 A A 2A correct number A A 4.3.1 1 unit on the map is equivalent to 500 units in real life. 4.3.2 1 mm represents 500 mm on the ground 180 mm represents 180 mm 500 A = 90 000 mm A = 90 m C 2A correct number 1A using the scale 1A answer in centimetres 1C answer in metres 4.4 Restaurant A A 2A correct shop (3) S S S S
athematical Literacy/P1 6 BE/2012 emorandum QUESTION 5 [14] Ques Solution Explanation Topic 5.1.1 Sprite and Granadilla Twist (any valid cooldrink) 5.1.2 % anta Orange sales = 100% (12+55+9+7)% = 17% CA 2A solution 5.1.3 Coca-Cola A A 2A solution 5.1.4 55% OR 0,55 OR 55 100 A A A A 1 subtracting from 100 1CA answer 2A solution 5.2.1 Original price = R4 999 + R500 = R5 499 A amount saved 5.2.2 Percentage discount = 100% original price 500 = 100% S 5 499 1 adding 1A answer 1S substitution = 9,09% A 5.2.3 Total amount paid = deposit + monthly payment number of months 1A answer = R500 + (R263 24) = R6 812 A S 1S substitution 1A answer TOTAL: 75