Mathematical Literacy Grade 10 P1 National Exemplar 2012 QP

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE NATIONAL SENIOR CERTIFICATE GRADE 10 MATHEMATICAL LITERACY P1 EXEMPLAR 2012 MARKS: 75 TIME: 1½ hours This question paper consists of 9 pages. Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 2 DBE/2012 NSC – Grade 10 Exemplar INSTRUCTIONS AND INFORMATION 1. This question paper consists of FIVE 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. Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 3 DBE/2012 NSC – Grade 10 Exemplar 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 Flour 3g 8g 60 g 150 g Margarine 5g 12,5 g 100 g 250 g Mealie meal 3g 6g 50 g 120 g Sugar 4g 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 1 of an hour. 3 Write this time in minutes. (2) 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. (2) 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? (2) 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? (2) [15] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 4 DBE/2012 NSC – Grade 10 Exemplar 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) 2.2 What is the mode of the pocket money? (2) 2.3 Determine the maximum amount of pocket money a learner in this Grade 10 class received. (2) 2.4 Determine the median pocket money. (2) 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] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 5 DBE/2012 NSC – Grade 10 Exemplar QUESTION 3 3.1 Below is the till slip Ms 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 0,78 Rocher T8 Heart 100 g 31,99 Nescafé Cappuccino Choc 46,99 Zillions Fruit Chews 4 @ 2,99 11,96 Microwave Popcorn Butter 3 @ A 32,97 Cookies Brownies 225 g 24,99 Crackers Original S/G 3,99 Still Spring Water 500 mℓ 4,29 NN Lemon Creams 200 g 6,99 Sugared Gummy Tub 300 g 21,99 Orbit Professional White Gum 6,79 Mangoes 2 @ 4,00 8,00 # 1 PAR Gouda Seal Wedge 18,90 JIVE Tropical Cup 150 mℓ 14,50 Fanta Zero 2 ℓ 14,89 Rapport Koerant 1's 13,00 Still Spring Water 1,5 ℓ 6,99 Sprite Zero 2 ℓ 14,89 Ice Cream Chocolate 39,99 DUE VAT INCL. 324,89 CASH 400,00 ROUNDING -0,04 CHANGE ........ TOTAL ITEMS ........ ------------------TAX INVOICE-------------- VAT included @ 14,0% 38,92 Zero rated # Use the till slip to answer the following questions: 3.1.1 How many items did Ms Xander buy? (2) 3.1.2 Calculate A, the price per unit of the microwave popcorn. (2) 3.1.3 Calculate the total amount due after rounding if Shop 'n Go rounded the total down to the nearest 5 cent. (2) 3.1.4 How much change must the cashier give back to Ms Xander? (2) 3.1.5 Zero-rated items mean that no VAT is charged on those items. Name the item that is zero rated on Ms Xander's till slip. (2) 3.1.6 How much VAT did Ms Xander pay in total for her shopping? (2) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 6 DBE/2012 NSC – Grade 10 Exemplar 3.2 Mr 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: Mr Khulu's budget for December MONTHLY INCOME MONTHLY EXPENDITURE Salary after deductions R17 800 Bond repayment R4 100 Housing subsidy R 550 Municipal rates R 475 Water and refuse account R 325 Electricity R 580 Food 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. (2) 3.2.2 Mr Khulu calculated that the value of A is R2 202. Show how Mr Khulu calculated A, the amount of money he anticipates spending on clothes and cellphones in December. (2) 3.2.3 Calculate the total expenditure (B). (2) 3.2.4 How much money does Mr Khulu have left after paying all his expenses? (2) [20] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 7 DBE/2012 NSC – Grade 10 Exemplar QUESTION 4 Below is the layout of stores at Mankinki Mall. The key explains the symbols on the layout. KEY  Restaurant  Sports shop  Camera shop  Optometrist  Electrical appliances shop  Family clothing shop  Pharmacy Toilets 4.1 How many restaurants are there in this mall? (2) 4.2 Carefully study the numbering system used in this mall. What is the number of the optometrist's shop? (2) 4.3 Mpho 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. (2) 4.3.2 If the scale distance from shop 35 to shop 13 is exactly 180 mm, determine the actual distance in metres that Mpho walked. (3) 4.4 Paul has to meet his girlfriend at Mankinki Mall. 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? (2) [11] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 8 DBE/2012 NSC – Grade 10 Exemplar 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. COOLDRINKS SOLD IN ONE WEEK KEY E 9% Symbol Type of cooldrink D 7% A Coca-Cola B Lemon Twist C Fanta Orange C D Stoney A 55% E Other B 12% 5.1.1 Name any TWO cooldrinks that could be regarded as 'Other'. (2) 5.1.2 What percentage of the cooldrinks sold are Fanta Orange? (2) 5.1.3 Name the cooldrink of which Riaan sold the most in that week. (2) 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? (2) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 9 DBE/2012 NSC – Grade 10 Exemplar 5.2 Mrs Sindimba is interested in buying the new lounge suite shown in the advertisement below. SAVE R500 Now R4 999 R500 Deposit. R263 per month × 24 months 5.2.1 Show that the original price of this lounge suit was R5 499. (2) 5.2.2 Determine the percentage discount offered on this lounge suite, using the following formula: amount saved Percentage discount = × 100% original price (2) 5.2.3 Suppose Mrs Sindimba decides to buy the lounge suit on hire purchase as advertised by the store. Determine the total amount she would have to pay. Use the following formula: Total amount paid = deposit + monthly payments × number of months (2) [14] TOTAL: 75 Copyright reserved