Potchefstroom Technical High School

Transcription

1 Subject: Mathematical Literacy Grade: 11 Date: 09/06/2014 Time: 90 min Potchefstroom Technical High School Total: 75 Teacher: Me M Nuttall Moderator: Ms E Burger Instructions: This EXAM PAPER consists of FOUR questions. Answer all the questions ALL calculations must be clearly shown All final answers must be rounded off to TWO decimal places, unless stated otherwise QUESTION 1 JUNE EXAMINATON 2014 PAPER II 1.1 Ellen is a student at the University of Pretoria. She has a FNB EasyPlan savings account. Following is an explanation of the costs involved in respect of the account and a statement of Ellen s account. Monthly Fees Monthly account fee R4,20 Transaction Fees FNB ATM CELLPHONE INTERNET BRANCH Balance Enquiry Free Free Free Free Card Purchases Free FNB Prepaid R0,90 R0,90 R0,90 - Cash@Till Free FNB Cash Withdrawal R3,25 Electronic Transfers Free Free Free Free Payment R2,95 R2,95 R2,95 R2,95 Statements R2,95 R2,95 - R2,95 Deposits (Cash and cheque) R3, R3,25 Stop Order Free Debit Order R2,95 1

2 E Le Roux P.O. Box Sunnyside 0132 Account Number: Statement Period: 01/04/ /04/2014 DATE DESCRIPTION AMOUNT BALANCE 01/04/2014 Opening Balance 8 575,69 01/04/2014 Monthly Account Fee (a) (f) 01/04/2014 Check deposit: Pocket Money Dad (g) 01/04/2014 Transaction Fee (b) 02/04/2014 FNB ATM Cash Withdrawal /04/2014 Transaction Fee (c) 03/04/2014 Electronic Transfer Protea Bookshop /04/2014 Transaction Fee (d) 04/04/2014 Balance enquiry cellphone (e) What will entry (a) be on this statement? (2) Determine the transaction fees (b), (c), (d) and (e). (8) Determine balances (f) and (g). (4) 1.2 Ellen decide that she want to take part of the Two Ocean Marathon. She don t want to do it alone so decide to invite a few friends along. Before they can start training she decided to do their BMI. Body Mass Index (BMI) is a value calculated using a person s mass and height and is measured in kilograms per square metre (kg/m 2 ). This BMI value can then be used to determine the health status of the individual. The formula for calculating the BMI of an individual is: BMI (kg/m 2 ) = Use this formula to show how the BMI value of 23,7 kg/m 2 for a person with length 1,78 m and mass 75 kg was calculated. (2) Use the BMI formula to determine the height for a person with a mass of 58 kg and BMI of 24,1 kg/m 2. Round off your answer to two decimal places. (3) 2

3 1.3 The nursing sister at a clinic need to advise these two people about their weight status, particularly if they are overweight or obese, since their conditions may be a health risk. NAME MASS HEIGHT (B) Sanjay 200 pounds 6 6 ft (C) Simon 110 kg 192 cm Use the graph given on Annexure A and indicate the two people s weight status on it and then give advice as if you were the nurse. (5) [24] QUESTION 2 Ellen s mom decided to bake some biscuits for their trip to the Kruger National Park. The supermarket till slip given below shows the cost of buying ingredients for baking the biscuits. Use the information on the till slip and in the table below to work out the cost price for some of the ingredients for one batch of biscuits. For some ingredients you may need to first convert the ingredients to grams using the conversion table given below. Conversions: Grams to ml Ingredients 5 ml 12,5 ml 25 ml 100 ml Baking powder 4 g 10 g 20 g 80 g Cocoa 2 g 5 g 10 g 40 g Coconut 1,5 g 4 g 8 g 30 g Flour 3 g 8 g 15 g 60 g Oats 2 g 5 g 10 g 40 g Margarine 5 g 12,5 g 25 g 100 g Salt 5,5 g 14 g 28 g 110 g Brown & White sugar 4 g 10 g 20 g 80 g Icing Sugar 3 g 7,5 g 15 g 60 g Conversions: ml to cups and spoons Cups ml Spoon ml Spoon ml 1 cup 250 ml 1 teaspoon 5 ml 1 tablespoon 15 ml 3

4 2.1 Ingredients Total quantity Size bought & price Cost per batch needed for 1 batch Oats 200 g Flour 300 g Coconut 150 g Baking powder 50 ml (biscuits and icing sugar) Cocoa 5 ml Margarine 340 g Sugar 275 g Icing Sugar 450 g Vanilla Essence 5 ml Total cost of ingredients for 1 batch (13) 2.2 If the recipe makes 24 biscuits, work out the cost price of making each biscuitl. (2) The Two Oceans Marathon is a running race that takes place on Easter Saturday each year in Cape Town. The event comprises two separate races, an ultra marathon and a half marathon The diagram comes from the race brochure. It shows the profile (side view) of the course for the ultra marathon. The top row of numbers indicates the height above sea level in metres at each point along the course, whilst the bottom row gives the course distances in kilometres. 4

5 2.3 What is the distance of the race? (1) 2.4 What is the name of the steepest uphill on the course? (2) 2.5 Calculate the length of the hill that runner climb to reach the top of Constantia Nek. (2) Runners measure speed in minutes and seconds per kilometre. Distance = Speed x Time 2.6 Your parents want to support you on the route. They decide that a good place to see you would be at Hout Bay. If you average 7 minutes per kilometre and the race begins at 06:30, at what time should they expect to see you running through Hout Bay? (5) [25] 5

6 QUESTION 3 Use ANNEXURE B which is a section of the Kruger National Park to answer the following questions: 3.1 Is the H2-2 road from Pretoriuskop to the H3 a tar road or a dirt road? (1) 3.2 What is the compass direction from Skukuza to Corcodile Bridge? (2) 3.3 On a 1: map, the measured distance between Lower-Sabie restcamp and Nkhulu picnic spot is 4,5 cm. What is the actual distance, in km, between the camp and the picnic spot? (3) 3.4 If the measured distance between Pretoriuskop and Skukuza is 3,3 cm and the actual distance is 50 km, what is the scale of the map? (Round off to the nearest hundred thousand). (3) 3.5 Ellen draw up the following budget for April Her parents give her a monthly allowance of R3 500 to cover her expenses which consist of the following: Monthly cellphone payments A total monthly instalment of R600,00 for two clothing stores, Teencraze and Fabfashion. Daily cost of R35,00 for food R160,00 per weekend for entertainment Transport costs of R155,00 per week April 2014 budget Monthly cellphone payments Teencraze account Fabfashion account Food for the month Weekend entertainment for the month Transport for the month R240 R390 A B C D Total Calculate the missing amounts A, B, C and D (8) Calculate the difference between her allowance and her total expenses for the month. (3) Calculate the difference between her allowance and her total expenses for the month. (3) 6

7 3.5.4 Zoey will be a student at the university for four years. Analysts have predicted that transport costs will increase at a compound interest rate of 8% per annum. Calculate how much she will need to budget for her weekly transport in April (3) [26] 7

8 NAME:. GRADE: 11/. ANNEXURE A 8

9 ANNEXURE B 9