MATHEMATICAL LITERACY

Transcription

1 MATBUS JUNE 2013 EXAMINATION DATE: 7 JUNE 2013 TIME: 14H00 16H00 TOTAL: 100 MARKS DURATION: 2 HOURS PASS MARK: 40% (UC-02) MATHEMATICAL LITERACY THIS EXAMINATION PAPER CONSISTS OF 9 QUESTIONS: ANSWER ALL THE QUESTIONS (100 MARKS) INSTRUCTIONS: 1. Read the following instructions carefully before answering the paper, as failure to act upon them will result in a loss of marks. 2. Write your answers in your answer book, which is provided in the exam. 3. Ensure that your name and student number are clearly indicated on your answer book. 4. Write your answers in either blue or black ink in your answer book. 5. Read each question very carefully before you answer it and number your answers exactly as the questions are numbered. 6. Begin with the question for which you think you will get the best marks. 7. Note the mark allocations for each question give enough facts to earn the marks allocated. Don't waste time by giving more information than required. 8. You are welcome to use diagrams to illustrate your answers. 9. Please write neatly we cannot mark illegible handwriting. 10. Any student caught cheating will have his or her examination paper and notes confiscated. The College will take disciplinary measures to protect the integrity of these examinations. 11. If there is something wrong with or missing from your exam paper or your answer book, please inform your invigilator immediately. If you do not inform your invigilator about a problem, the College will not be able to rectify it afterwards, and your marks cannot be adjusted to allow for the problem. 12. This paper may be removed from the examination hall after the examination has taken place. NOTE: A FORMULAE SHEET IS ATTACHED AT THE END OF THE QUESTION PAPER FOR YOUR INFORMATION. YOU MAY USE A NON-PROGRAMMABLE CALCULATOR. YOU MUST SHOW YOUR WORKING STEPS. DAMELIN CORRESPONDENCE COLLEGE JUNE 2013 PAGE 1 OF 7

2 ANSWER ALL THE QUESTIONS (100 MARKS) QUESTION 1 Give two factors that affect the validity and reliability of research. (4) Define 'population' in relation to research. (2) (c) Identify which type of sampling (i.e. systematic; biased; probability; or random) is involved in each of the following: i. You ensure that every member of the population has an equal, fair and unbiased chance of being elected, independent of the researcher s individual choice. (1) ii. You pick names of people by chance to get their general opinion. (1) iii. You only pick certain kinds of persons to get a particular result. (1) iv. You select every 10th element out of a list of to have a sample of (1) (d) Name two strengths of survey / questionnaire research. (2) (e) Explain why random selection is beneficial in research. (2) (f) A bus company attempted to estimate the number of people who travel on local buses in a certain town. They telephoned 100 people in the town one evening and asked: 'Have you travelled by bus in the last week?' 19 people said 'Yes'. The bus company concluded that 19% of the town's population travel on local buses. Give three criticisms of this method of estimation. (4) [18] DAMELIN CORRESPONDENCE COLLEGE JUNE 2013 PAGE 2 OF 7

3 QUESTION 2 Identify whether the definition provided below relates to quantitative or qualitative data....collected data that we can represent by a numerical quantity and not attributes. (1) The bar graph below shows the gender difference in median income in US$ by birthplace and sex. Answer the questions that follow by referencing the graph. i. Identify which gender had the greater median salary in the listed countries during (1) ii. iii. iv. Identify which country in the list shows the largest difference between median incomes of men and women. (1) If the UK and Ireland median income for men is $25 000, calculate the value of $ using the average exchange rate during 1996 of $1 : R4,68. (1) Calculate the value of $ in British Pounds using the current exchange rate of $1 : 0,63. (2) v. Identify which country had the largest median income for women. (1) vi. vii. Identify which countries were closest to having an equal median income for men and women. (1) Name two factors that could influence the variations in median income by birthplace and sex. (2) DAMELIN CORRESPONDENCE COLLEGE JUNE 2013 PAGE 3 OF 7

4 (c) The following table represents the number of walls a construction company was asked to build in a month, as well as the approximate height of the walls they were asked to build. Draw a histogram for the information. Height Frequency (in metres) (number of walls) Relative frequency 0 to to o to to (4) [14] QUESTION 3 The players of a basketball team scored the following points in a series of games: 52, 94, 93, 53, 66, 115, 116, 67, 100, 75, 76, 101, 84, 51, 84, 115 i. Specify whether the above information is a set of discrete or continuous data. Explain your answer (2) ii. Calculate the mean. (3) iii. Calculate the median. (3) iv. Calculate the mode. (1) v. Calculate the standard deviation of the data. (5) During a lottery game of chance on a particular evening, a contestant has to draw an orange ball from a container filled mostly with white balls in order to win a prize. There are 16 orange balls and 7 white balls. i. Calculate the probability that the contestant will choose an orange ball. (2) ii. Calculate the probability that the contestant will choose a white ball. (2) iii. Identify which colour ball is the contestant more likely to choose. Explain your answer. (2) [20] QUESTION 4 Give two possible macro-economic objectives that a government can set itself to avoid spending more money than it has. (4) List two different sources of income for government. (2) (c) Name two areas in which government could spend its money. (2) [8] DAMELIN CORRESPONDENCE COLLEGE JUNE 2013 PAGE 4 OF 7

5 QUESTION 5 During May the price of a meat sandwich was R7,75. In November the price for the same meat sandwich was R12,50. Calculate the price index for November if May is the base month. Show your calculations. (4) Use the table below to calculate the CPI (Consumer Price Index) and the rate of inflation for year two. Show your calculations. Basket Weighting Price relative Weightings price relative Food Housing Transport TOTAL (8) [12] QUESTION 6 The real GDP of a country for 2001 is and the real GDP for 2012 is Calculate the growth rate from 2001 to Show your calculations. (6) List two ways government can correct the balance of payment deficit in the short term. (2) [8] QUESTION 7 i. A man earning R with tax-free allowances of R paid a total amount of R in tax. Calculate the tax rate. Show your calculations. (6) ii. Give one principle of taxation that should be part of taxation. (1) Marci earned R4 200 for vacation work. She decided to invest it at 8% per annum, annually compounding for four years. Calculate how much money will be in Marci's account at the end of the four years. Show your calculations. (5) [12] DAMELIN CORRESPONDENCE COLLEGE JUNE 2013 PAGE 5 OF 7

6 QUESTION 8 Look at the house plan below and answer the questions that follow: How many doors are shown on this plan? (1) What is the length of the house? (1) (c) Calculate the width of the kitchen. (1) (d) Find the floor area of the house. (1) [4] QUESTION 9 A cyclist covered a distance of 340 km in 480 minutes. Calculate his average speed. Show your calculations. (2) A cylindrical water tank has a radius of 56 cm and a length of 210 cm. Calculate the volume of the water tank. Show your calculations. (2) [4] [100] TOTAL: 100 MARKS DAMELIN CORRESPONDENCE COLLEGE JUNE 2013 PAGE 6 OF 7

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