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FECI Business Administration Module 6 Humeracy _ IA_version2021.2_13/05/2022 b) N2 c) N3 4. What is the name of the ocean on South Africa's western coast? a) Indian Ocean b) Atlantic Ocean c) Pacific Ocean FETC: Business Administration: Module 6 Numeracy_FA_version2021.2_13/05/2022 5. Consider the following picture of a battery represented on a Cartesian plane and answer the questions that follow: 5.1. Where is the point of origin? a) The top of the plane b) The centre of the plane c) The bottom of the plane 5.2. In what quadrant does the positive terminal of the battery lie? a) 1 b) 11 c) III d) IV 5.3. In what quadrant does the negative terminal of the battery lie? a) 1 b) II c) III d) IV 6. The co-ordinates of the location of the positive terminal if each point on the axes is equal to 1 unit, is: (1,1) a) True b) False 7. Match each letter with its correct co-ordinate in the table below. Mathakha Munanyi 100 CHAPTER 3: APPLY KNOWLEDGE OF STATISTICS \& PROBABILITY TO CRITICALIY INTERROGATE \& EFFECTIVELY COMMUNICATE FINDINGS ON UIFE RELATED PROBLEMS Unit Standard 9015 Activity 3. Statistics, sampling, collecting data \& meaningful interpretations US 9015 SO 1 AC 1 - 9, SO 2 AC 1 - 4, SO 3 AC 1 - 5 EEK 1 -4 Read and respond to the questions below. 3.1 For what purpose can statistics be applied in business? a) Analyse past performance b) Monitor industry trends c) Make good decisions for future changes d) Helps set prices e) All options 3.2 Instructions: You are required to undertake a research project to find out the percentage of employees who use public transport at your company. 1. Which of the below represent sampling methods that you can use? a) Random sampling b) Convenience sampling c) Quota sampling d) All options 2. If you were to use your training group as the basis for a sample, which of the sampling techniques below would be the most appropriate sampling method to use? a) Random sampling b) Convenience sampling c) Quota sampling 3.3 3.3.1 Identify the types of data and informatien that are collected by a marketing department? a) Demegraphic data b) Quantitative data c) Qualitative data d) All options 3.3.2 Review the three situations below and select an appropriate data collection method/s in each case. Scenario 1:The marketing department wants to understand what types of products appeal to parents of children under 5 years'old. a) Survey b) Focus groups c) Oral history d) Documents and records Scenario 2: The sales department wants to find out the reasons for cancellation of products. a) Survey b) Focus groups c) Oral history d) Documents and records Scenario 3: The HR department wants to understand the racial diversity present in leadership a) Survey b) Focus groups c) Oral history d) Documents and records FETC: Business Administration: Module 6 Numeracy _ FA_version2021.2_ 13/05/2022 Type of diagram Histogram Line diagram Pie chart Sources: https://www.mathsisfun.com/data/histograms.html https://www.storytellingwithdata.com/blog/2020/3/24/what-is-a-line-graph https://chartio.com/learn/charts/pie-chart-complete-guide/ https://blog.kainexus.com/improvement-disciplines/lean/control-charts/an-introduction-to-processcontrol-charts 3.9 1. What are some of the concerns or worries that exist about the use of statistics? a) Statistics can be difficult to understand b) Statistics can be misused c) Statistics can provide support for misleading arguments d) All options 2. In South Africa, there was controversy about contradictory figures of HIV/AIDS infection rates produced by two studies. When investigated, it was found that the studies used two different 'populations'. One included a representative sample of all people from birth to 80 years of age; the other looked at pregnant women attending ante-natal clinics. Why this would make a difference in the results? Choose the correct answers from the options below. b. A shop gives a discount of 10% on everything that is bought for cash. Calculate the discount on articles with the following prices. Once you have the answers, match the correct answer to each question. PMI ()|Page 7 of 31 3.4 1. Explain what is meant by "Contamination of data", Choose the correct answers from the options below. a) When data has been altered b) When data has been lost c) When data has been organised d) When data has been stored 3.5 Instructions Review the graph below and answer the questions which follow. 1. What is the difference between the actual collection figures for 2005 versus 2006 for the same period? Choose the correct answers from the options below a) The actual collection figures in 2005 were lower than the figures for 2006 b) The actual collection figures for 2006 were higher than the figures for 2005 c) There is no difference to be noted 2. What is similar about the actual collection figures for 2005 versus 2006 for the same period? a) The figures are the same b) The figures follow the same trend between the two periods c) The figures do not follow the same trend between the two periods 3.6 1. What types of events or circumstances need to be planned in business? a) Launch events PMI C) |Page 27 of 31 FETC: Business Administration: Module 6 Numeracy_FA_version2021.2_13/05/2022 b) Employee hiring c) Employee training d) Customer support turnaround times e) All options 2. How do you decide about the probability of these events/circumstances occurring? What is the best approach to take? a) The team can calculate the probability of these events occurring can be calculated b) The team can just wait and see what events occur c) The team can take a wild guess about the outcome they believe will emerge 3.7 1. Provide a definition for the types of probability below by matching the definitions to the correct term. \begin{tabular}{|l|} \hline Term \\ \hline Conditional probability \\ \hline Joint probability \\ \hline Marginal probability \\ \hline \end{tabular} Definition The chances that the same outcome occurs given that another event has also occurred. The chances that two or more events happen at the same time. The chances of an event occurring irrespective of the outcome of another variable. 3.8 1. Identify the types of graphs below by matching the type of graph to each image. a) Mg b) G c) KB c. Bicycle a) Mg b) G c) KB d) T d. Pen a) Mg b) G c) KB d) T e. Chicken a) Mg b) G c) Kg d) T f. Tractor a) Mg b) G c) Kg d) T 2. Answer the following questions by converting the units. 1.1. How many mg are in 2kg ? e) 200000mg f) 20000mg g) 2000mg 1.2. How many g are there in 5kg ? a) 50g b) 5000g c) 500g 1.3. Circle the correct answer. Which of the following amounts is equal to the highest number of g ? a. 2kg b. 3000mg PMI Page 15 of 31 FETC: Business Administration: Module 6 Numeracy_FA_version 2021.2_13/05/2022 c. 1000g Activity 2,4 Weight and Mass US 12417 SO 1 AC 1- 4, CCFO; COMMUNICATING Read through the questions and respond accordingly 1. What is the difference between weight and mass? Match the correct definition with each. \begin{tabular}{|l|} \hline Weight \\ \hline Mass \\ \hline \end{tabular} The actual amount of material contained in a body and is measured in kg,gm, etc It does not change when an object's location changes The force exerted by the gravity on that object mg Changes when an object's location changes 2. How would you determine someone's mass? a) It can be measured using a scale b) It can be measured using a tape measure c) It can be measured by sight Activity 2.5 Units \& quantities US 12417 SO 1 AC 1-4, CCFO: IDENTIFYING, COLLECTING Read through the questions and respond accordingly 1. Read through the items stated on the left-hand side of the table below. Decide whether you would measure the item in m,c or . a. Baking powder when baking a cake 10 of 25 PMI Page 16 of 31 c) Enables you to achieve profit goals d) All options Activity 1.3 Parts of a budget US 7468 SO 1 AC 2 - 3 (EEK 1), CCFO: COLLECTING Answer the questions which follow. 1. Which elements below form part of a budget? Choose the correct answer or answers from the options below. a) Direct Costs b) Operating Costs c) Cost of sales d) Production costs e) Sales f) All options Activity 1.4 Control measures US 7468 SO 1AC1 - 3 (EEKS 1-4), CCFO: IDENTIFYING, COLLECTING Answer the questions which follow. 1. Why is it important to put in place control measures when dealing with a business' finances? Choose the correct answers from the options below. a) It ensures that business financial activities are planned b) It ensures that business financial activities are monitored c) It ensures that costly mistakes happen Activity 1.5 Calculations US 7468 SO 2 AC 1 - 4 (EEKS 1 - 4), CCFO: IDENTIFYING, COLLECTING Read and respond to each question below: a) Calculate the answers to the problems given below. Once you have the answers, match the correct answer to each question. hakha MunanyiOr 100 PMI )|Page 6 of 31 \begin{tabular}{|l|} \hline 0.5 \\ \hline 2.5 \\ \hline 5 \\ \hline 10 \\ \hline 40 \\ \hline 37.5 \\ \hline \end{tabular} c) How fast speed changes d) Used to measure speed 5. Provide an example for each concept below. a. Speed a) Speedometer in the car b) The speed at which a car is travelling, measured in km/hr c) When a car goes faster and faster d) The speed a car is traveling in a particular direction. E.g. westward b. Velocity a) Speedometer in the car b) The speed at which a car is travelling, measured in km/hr. c) When a car goes faster and faster d) The speed a car is traveling in a particular direction. E.g. westward c. Acceleration a) Speedometer in the car b) The speed at which a car is travelling, measured in km/hr. c) When a car goes faster and faster d) The speed a car is traveling in a particular direction. E.g. westward d. Instrument a) Speedometer in the car b) The speed at which a car is travelling, measured in km/hr. c) When a car goes faster and faster d) The speed a car is traveling in a particular direction, E.g. westward Activity 2.6 Time Zones, Dimensions \& Shapes US 12417 SO 2 AC 1 - 12, CCFO: IDENTIFYING, COLLECTING, la Munany though the questions and respond accordingly PMI Page 19 of 31 FETC: Business Administration: Module 6 Numeracy_FA_version2021.2_13/05/2022 1. Why are there different time zones in the world? a) There is no logical reason for this b) Time zones differ so that the local time in any given place corresponds to the amount of available daylight c) Time zones differ due to the climate of the particular area 2. What do the terms Celsius and Fahrenheit refer to? a) Measurements of time b) Measurements of temperature c) Measurements of mass Activity 2.7 Maps, Cartesian planes US 12417 SO 1 AC 1 - 12, CCFO: IDENTIFYING, COLLECTING, COMMUNICATING Read through the questions and respond accordingly Consider the map and then answer the questions that follow: 1. What country is next to South Africa on the east side? a) Mozambique b) Colesburg c) Zambia 2. If you travel from Johannesburg to Port Elizabeth, what is the town you will reach on your route once you have passed Bloemfontein? a) Barrydale b) Colesburg c) East London 3. What is the name of the highway you'd 14 of 25 urban? a) N1 PMI Page 20 of 31 FETC: Business Administration: Module 6 Numeracy_FA_version2021.2_13/05/2022 Activity 1.6 Calculating discounts US 7468 SO 2 AC 2 (EEKS 1 - 4), CCFO: IDENTIFYING, COLLECTING Answer the questions which follow. Calculate the answers to the questions that follow. 1. This advertisement appeared in a shop window: Sale!ll! 25% Discount on all furniturel 15% Discount on electrical appliance! Calculate the discount on a bed marked R1500 a) R375.00 b) R1875.00 c) R1125.00 2. A stove is marked R3750. What does a customer pay for it after the discount has been calculated? (Ignore VAT) a) R562.50 b) R3187.50 c) R4312,50 3. A man buys the following items on the sale: - 1 Fridge marked R 5100 - 1 Dining room suite marked R 4900 How much does he pay for these two items, after the discount has been calculated? (Ignore VAT) a) R4335.00 b) R3675.00 PMI |age 8 of 31 FETC: Business Administration: Module 6 Numeracy_FA_version2021.2_13/05/2022 c) R8010.00 Activity 1.7 Compound Interest US 7468 SO 2 AC 1,2 (EEK 4), CCFO: COLLECTING, COMMUNICATING Answer the question which follows. 1. What is the difference between simple and compound interest? Choose the correct answers from the options below. a) Simple interest is calculated on the original (principal) amount only b) Compound interest is calculated on the original principal amount and all interest accumulated c) Simple interest grows your money, while compound interest decreases it Activity 1.8 Financial Calculations: Interest, compound interest US 7468 SO 2 AC 2 (EEK 4), CCFO: IDENTIFYING, COLLECTING Read through and respond to each question below: 1. Calculate the Simple Interest payable on a loan of: 1.1. R1000 borrowed for 1 year at 10% p.a. interest a) R1100 b) R1000 c) R100 1.2. R3750 borrowed for 3 years at 14% p.a. interest a) R1575 b) R5325 c) R525 1.3. R5000 borrowed for 6 months at 25% p.a. interest a) R625 b) R4375 a) MI b) c c) 1 b. A tin of paint a) MI b) c c) 1 c. Juice squeezed out of a lemon a) MI b) c c) 1 d. Water to fill the water tank a) MI b) c c) 1 e. Flour to bake a cake a) MI b) c c) 1 f. Petrol to fill the car a) MI b) c c) 1 2. Answer the following questions by converting the units. a. How many cups of orange juice can you pour from a 3 bottle of orange juice? a) 10 b) 11 PMI C |Page 17 of : FETC: Business Administration: Module 6 Numeracy_FA_version2021.2_ 13/05/2022 c) 12 b. How many me are there in 4 of water? a) 40 b) 400 c) 4000 3. Themba's mom asks him to go to the shop for sugar. She is baking a cake and the recipe says that she needs 5 cups of sugar to bake her cake. Themba comes back from the shop with 1,5e sugar. Has he bought enough for his mom to make the cake? a) Yes b) No 4. Complete the following table by providing definitions for each term. a. Speed a) How fast something is moving. b) Speed with a direction c) How fast speed changes d) Used to measure speed b. Velocity a) How fast something is moving. b) Speed with a direction c) How fast speed changes d) Used to measure speed c. Acceleration a) How fast something is moving. b) Speed with a direction c) How fast speed changes d) Used to measure speed d. Instrument a) How fast something is moving. FETC: Business Administration: Module 6 Numeracy_ F_ version2021.2_ 13/05/2022 a) The sampling method was different for each study leading to different results b) The characteristics of each sample would be different, leading to different results c) Neither sampling approach was appropriate 3. What lessons have you learned from this example, about how to evaluate statistics? Choose the correct answers from the options below. a) Sampling does not impact the results of your study b) Sampling does impact the results of your study c) You need to understand the research methodology used by the study when reviewing data 4. For what reasons might statistics be misused? a) For commercial gain b) For foster political support c) To convince people to believe a misleading or false argument d) All options CHAPTER 2: REPRESENT, ANALYSE AND CALCULATE SHAPE IN MOTION IN 2 \& 3-DIMENSIONAL SPACE IN DIFFERENT CONTEXTS Unit Standard 12417 Activity 2.1 Measurement US 12417 SO 1 AC 4, AC 7, CCFO: IDENTIFYING, COLLECTING Answer the questions below. 1. Read through the items stated on the left-hand side of the table below. Decide whether you would measure the item in km, m, cm or mm. a. The length of your desk a) Km b) M c) Cm d) Mm b. The length of a train track a) Km b) M c) Cm d) Mm c. The dimensions of a book a) Km b) M c) Cm d) Mm d. The length of a car a) Km b) M c) Cm d) Mm e. The width of a car tyre a) Km b) M c) Cm d) Mm PMI Page 13 of 31 1. If Sipho is 1,6m tall, how tall is he in cm ? a) 160cm b) 1600cm c) 16000cm 2. Circle the correct answer, If Thandi stays 3,5km away from Zanele and 360000cm from Thull, does she a) Stay closer to Zanele b) Stay closer to Thuli c) Stay the same distance from both of them 3. If the distance between my hip and my knee is 500mm, what is the distance in m between my hip and my knee? a) 0.5m b) 5m c) 50m Activity 2.3 MG, G, KG or T US 12417501 AC 1. A, CCFO: IDENTIFYING Answer the questions below. 1. Read through the items stated on the left-hand side of the table below. Decide whether you would measure the item in mg,g,kg or T. a. Toothpick a) Mg b) G c) Kg d) T b. Bag of apples PMI Page 14 of 31 FETC: Business Administration: Module 6 Humeracy _ FA_version2021.2_13/05/202 1.3. R5000 borrowed for 6 months at 25% p.a. interest d) R625 e) R4375 f) R5625 activity Activity 1.9 Impact of loans US 7468 SO 2 AC 1 - 4 (EEK 1 - 4), CCFO: IDENTIFYING, COMMUNICATING Read through and respond to each question below. 1. Calculate the compound interest on a loan of: 1.1. R 3000 borrowed at 10% p.a. C.I. for 3 years. a) R3300 b) R3630 c) R3993 1.2. R5000 borrowed at 20% p.a. C.I. for 3 years. a) R8640 b) R7200 c) R6000 1.3. R 3000 borrowed at 12% p.a. C.I. monthly for 6 months. a) R3121.81 b) R3184.86 c) R3090.90 PMI C C|Page 10 of 31 FETC: Business Administration: Module 6 Numeracy_FA_version2021.2_13/05/2022 2. Calculate the amount owing on a home loan of R100000 if interest is compounded annually at a rate of 14% and the homeowner repays R24000 per year after 3 repayments. a) R90000 b) R78600 c) R65604 3. What are the applications for simple and compound interest? a) Simple interest is used in fixed deposits b) Compound interest is paid in savings accounts, investments and money market accounts c) Both of the above Activity 1.10 Costs and Revenue US 7468 SO 3 AC 1 - 4 (EEK 1 - 4), CCFO: IDENTIFYING, COLLECTING, COMMUNICATING Read through and respond to each question below: 1. Provide a definition for each of the terms below by matching the definition to the correct term