Gr10 Math Lit: November test medium P(1)
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Questions and Answers

What is the range of the probability scale?

  • 0 to 1 (correct)
  • 1 to 100
  • -1 to 1
  • 0 to 10

    • What does the term 'fair' mean in a game of chance?

  • A game that is always won
  • A game with equal chance of winning or losing (correct)
  • A game that is always lost
  • A game that is played unfairly

    • What is the term for the number of times something happens in a game of chance?

  • Probability
  • Random
  • Trial
  • Frequency (correct)

    • What is the difference between theoretical probability and relative frequency?

    <p>Theoretical probability is the calculated probability, while relative frequency is the actual result</p> Signup and view all the answers

    What is the purpose of a tree diagram in probability?

    <p>To show all possible outcomes of an event</p> Signup and view all the answers

    What is an example of an event in probability?

    <p>Rolling an even number on a die</p> Signup and view all the answers

    What is an example of an outcome in probability?

    <p>Rolling a 6 on a die</p> Signup and view all the answers

    What can be used to show the probability of combined outcomes?

    <p>Either tree diagrams or two-way tables</p> Signup and view all the answers

    What is a database?

    <p>An organized list of data</p> Signup and view all the answers

    What is the purpose of using a random sample formula?

    <p>To avoid sample bias</p> Signup and view all the answers

    What is the formula for calculating the sample size?

    <p>n = N / (1 + N(e^2))</p> Signup and view all the answers

    What is the purpose of a relevance check in developing a questionnaire?

    <p>To analyze each question for necessity, feasibility, and likelihood of getting an honest answer</p> Signup and view all the answers

    What is the difference between open-ended and closed-ended questions?

    <p>Open-ended questions allow respondents to answer in their own words, while closed-ended questions provide specific options for respondents to choose from</p> Signup and view all the answers

    What is the purpose of a likert scale?

    <p>To design closed-ended questions</p> Signup and view all the answers

    What is the difference between categorical and numerical data?

    <p>Categorical data cannot be measured numerically, while numerical data can be measured numerically</p> Signup and view all the answers

    What is the purpose of class intervals in organizing data?

    <p>To group data into specific ranges or intervals</p> Signup and view all the answers

    What is the formula for finding the total number of items in a dataset?

    <p>Total number of items = ∑ Frequencies</p> Signup and view all the answers

    What is the purpose of tallies in organizing data?

    <p>To count how many of each group there are</p> Signup and view all the answers

    What is the formula to calculate the probability of an event?

    <p>P(E) = (Number of favourable outcomes) / (Total number of possible outcomes)</p> Signup and view all the answers

    What is the purpose of a two-way table in probability?

    <p>To show the outcomes of two events, making it easier to calculate combined probabilities</p> Signup and view all the answers

    What is the formula for stating the aim of research?

    <p>Aim = To find out [specific aspect] about [subject]</p> Signup and view all the answers

    What type of question is 'What do you think about [topic]?'?

    <p>Open question</p> Signup and view all the answers

    What is the purpose of using a combination of question types in research?

    <p>To get a comprehensive understanding of the research topic</p> Signup and view all the answers

    What is the formula for the complement of an event?

    <p>P(not E) = 1 - P(E)</p> Signup and view all the answers

    What is the purpose of a tree diagram in probability?

    <p>To visualize the outcomes of an event or series of events</p> Signup and view all the answers

    What type of question is 'Do you [action/condition]?'?

    <p>Closed question</p> Signup and view all the answers

    What is the main difference between observation and interview methods of collecting data?

    <p>The level of personal contact</p> Signup and view all the answers

    What is the purpose of using a questionnaire in collecting data?

    <p>To get information from many people, especially those who are spread over a wide area</p> Signup and view all the answers

    What is the purpose of summarising data?

    <p>To simplify the analysis process</p> Signup and view all the answers

    What is the measure of central tendency that shows the central position of a dataset?

    <p>Measure of central tendency</p> Signup and view all the answers

    What is the formula for calculating the mean?

    <p>Sum of all values / Number of values</p> Signup and view all the answers

    What is the mode of a dataset?

    <p>The value that appears most frequently in the dataset</p> Signup and view all the answers

    What is the range of a dataset?

    <p>The difference between the highest and lowest values</p> Signup and view all the answers

    What type of graph is used to compare parts of a whole?

    <p>Pie chart</p> Signup and view all the answers

    What type of graph is used to show the relationship between two quantities over time?

    <p>Line graph</p> Signup and view all the answers

    What is the analysis of data?

    <p>A continuous process</p> Signup and view all the answers

    What is the purpose of measures of central tendency and spread?

    <p>To identify trends and patterns in the data</p> Signup and view all the answers

    What is the next step after summarising the data?

    <p>To represent the data graphically</p> Signup and view all the answers

    What is the purpose of a pie chart in data analysis?

    <p>To compare parts of a whole</p> Signup and view all the answers

    What is the main difference between a bar graph and a histogram?

    <p>The way the bars are arranged</p> Signup and view all the answers

    What is the purpose of a tariff system?

    <p>To determine the cost of services based on usage</p> Signup and view all the answers

    What is the difference between a credit and a debit?

    <p>A credit is money paid into an account, while a debit is money paid from an account</p> Signup and view all the answers

    What is the purpose of a municipal bill?

    <p>To provide information about the property and services used</p> Signup and view all the answers

    What is Value Added Tax (VAT)?

    <p>A fixed extra cost added to the cost of most items and services</p> Signup and view all the answers

    What is the difference between an opening balance and a closing balance?

    <p>An opening balance is the amount due before the current month's expenses, while a closing balance is the total amount due after adding the current month's expenses</p> Signup and view all the answers

    What is the purpose of a till slip?

    <p>To detail purchases made at a store</p> Signup and view all the answers

    What is the purpose of an account statement?

    <p>To detail purchases, payments made, and amounts owed</p> Signup and view all the answers

    What is the purpose of a telephone bill?

    <p>To detail charges for landline or cell phone usage</p> Signup and view all the answers

    What is the primary purpose of a tariff system?

    <p>To provide a schedule of prices for services</p> Signup and view all the answers

    What is typically included in municipal tariffs?

    <p>Electricity, water, and refuse removal costs</p> Signup and view all the answers

    What is the formula for calculating municipal costs?

    <p>Total Cost = ∑(Usage in Category × Tariff for Category)</p> Signup and view all the answers

    What is the difference between a salary and a wage?

    <p>A salary is paid for work done over a longer period, while a wage is paid for work done in a shorter period</p> Signup and view all the answers

    What is the purpose of a budget?

    <p>To balance expenditure with income</p> Signup and view all the answers

    What is the difference between a surplus and a deficit?

    <p>A surplus is when income exceeds expenditure, while a deficit is when expenditure exceeds income</p> Signup and view all the answers

    What is the formula for calculating profit?

    <p>Profit = Total Income - Cost of Production</p> Signup and view all the answers

    What is the primary purpose of a transport tariff?

    <p>To charge per unit distance traveled</p> Signup and view all the answers

    What is classified as variable income?

    <p>Income that changes over time or with situations, such as commissions</p> Signup and view all the answers

    What is the purpose of a study loan?

    <p>To assist with financial matters during a student's study period</p> Signup and view all the answers

    What is the primary use of positive and negative numbers?

    <p>To represent values below or above zero, such as debts or temperatures</p> Signup and view all the answers

    What is the rule for rounding a number to the nearest 10?

    <p>Numbers with units digits 1-4 round down, 5-9 round up</p> Signup and view all the answers

    What is the definition of a rate?

    <p>Comparison of two numbers with different units</p> Signup and view all the answers

    How do you calculate a percentage value?

    <p>Convert the percentage to a fraction and multiply by the given amount</p> Signup and view all the answers

    What is the term for an increase in the original price?

    <p>Increase</p> Signup and view all the answers

    Why is contextual rounding important?

    <p>To consider the practical implications of rounding in real-life situations</p> Signup and view all the answers

    What is exempt from Value Added Tax (VAT)?

    <p>Basic foods like bread and milk</p> Signup and view all the answers

    What is the formula to calculate the VAT amount on a VAT-exclusive price?

    <p>VAT Amount = Price × VAT Rate</p> Signup and view all the answers

    What type of bank account earns interest and does not have an overdraft facility?

    <p>Savings Account</p> Signup and view all the answers

    What is the purpose of a bank statement?

    <p>To show the transactions and balance of the account</p> Signup and view all the answers

    What is a debit transaction?

    <p>Amount of money paid out of an account</p> Signup and view all the answers

    What is the purpose of FICA (the Financial Intelligence Centre Act)?

    <p>To prevent fraud and money laundering</p> Signup and view all the answers

    What is a bank account that can be used to purchase items now and pay for them later?

    <p>Credit Account</p> Signup and view all the answers

    What is the term for the amount of money in the account at the beginning and end of the period?

    <p>Opening and Closing Balance</p> Signup and view all the answers

    What is a transaction fee?

    <p>A fee charged for every transaction</p> Signup and view all the answers

    Why is it important to choose the appropriate bank account for your needs?

    <p>To reduce transaction fees</p> Signup and view all the answers

    What is the main purpose of creating a budget?

    <p>To plan for future income and expenses</p> Signup and view all the answers

    What is the difference between a budget and a statement?

    <p>A budget is for future income and expenses, while a statement is for past income and expenses</p> Signup and view all the answers

    What is the formula to calculate the amount to spend on each category in a budget?

    <p>Amount for Category = (Percentage for Category / 100) × Total Income</p> Signup and view all the answers

    Why is it important to repay debts before starting to save?

    <p>Because debts accrue interest and reduce available funds for savings</p> Signup and view all the answers

    What is the formula to calculate how much you should save each month?

    <p>Monthly Savings = Total Income - (Total Fixed Expenses + Total Variable Expenses + Total Occasional Expenses)</p> Signup and view all the answers

    What is interest?

    <p>The amount of money you are charged for borrowing</p> Signup and view all the answers

    What is the formula to calculate the interest amount?

    <p>Interest Amount = Principal Amount × Interest Rate</p> Signup and view all the answers

    How is VAT calculated?

    <p>VAT = 14% of the price of the goods</p> Signup and view all the answers

    What is the purpose of VAT?

    <p>To provide income to the government</p> Signup and view all the answers

    What is the difference between a hire purchase and a loan?

    <p>A hire purchase is a way of buying an item and paying for it in monthly instalments, while a loan is a lump sum of money borrowed from a bank</p> Signup and view all the answers

    What is the formula for calculating total bank fees?

    <p>Monthly Maintenance Fee + Self-Service Banking Fee + Cash Deposit Fee + Withdrawal Fee + Balance Inquiry Fee + Other Transaction Fees</p> Signup and view all the answers

    In South Africa, what is used to separate whole numbers from decimal fractions?

    <p>Decimal comma</p> Signup and view all the answers

    What is the purpose of using a place value table?

    <p>To identify the value of each digit in a large number</p> Signup and view all the answers

    What is the order of operations in calculations?

    <p>BODMAS</p> Signup and view all the answers

    What is the purpose of estimating answers to calculations?

    <p>To think about a problem before working it out</p> Signup and view all the answers

    What is the function of the M+ key on a calculator?

    <p>Adds a number to the memory</p> Signup and view all the answers

    What is the result of multiplying a number by 10?

    <p>Each digit is shifted one place to the left</p> Signup and view all the answers

    What is the purpose of breaking down and multiplying large numbers?

    <p>To make multiplication and addition easier</p> Signup and view all the answers

    What is the purpose of grouping numbers in multiplication and addition?

    <p>To make multiplication and addition easier</p> Signup and view all the answers

    What is the formula for calculating the bank fee for withdrawal?

    <p>Initial Fee + (Additional Fee × Number of Additional Units)</p> Signup and view all the answers

    What is the definition of a proper fraction?

    <p>Numerator is smaller than the denominator</p> Signup and view all the answers

    What operation is required to convert a decimal fraction to a common fraction?

    <p>Division</p> Signup and view all the answers

    What is the purpose of using a place value table?

    <p>To compare numbers</p> Signup and view all the answers

    What is the rule for multiplying by 10, 100, and 1000?

    <p>Shift each digit to the left by the number of zeros in the multiplier</p> Signup and view all the answers

    What is the convention for writing whole numbers in words?

    <p>Separate numbers into groups of three digits starting from the right</p> Signup and view all the answers

    What is the order of operations when working with numbers and brackets?

    <p>BODMAS</p> Signup and view all the answers

    What is the purpose of using a calculator?

    <p>All of the above</p> Signup and view all the answers

    What is the definition of a mixed number?

    <p>A combination of a whole number and a fraction</p> Signup and view all the answers

    What is the purpose of converting between fractions and decimal fractions?

    <p>All of the above</p> Signup and view all the answers

    What is the purpose of using a decimal comma in number representation in South Africa?

    <p>To separate whole numbers from decimal fractions</p> Signup and view all the answers

    What is the probability of an event that is certain to occur?

    <p>1</p> Signup and view all the answers

    What is the term for the actual result of an experiment?

    <p>Relative frequency</p> Signup and view all the answers

    What is used to show all possible outcomes of a single event?

    <p>Tree diagram</p> Signup and view all the answers

    What is the type of game that has an equal chance of winning or losing?

    <p>Fair game</p> Signup and view all the answers

    What is the term for a collection of one or more outcomes?

    <p>Event</p> Signup and view all the answers

    What is the probability of an event that is impossible to occur?

    <p>0</p> Signup and view all the answers

    What is used to show all possible outcomes of combined events?

    <p>Two-way table</p> Signup and view all the answers

    What is the probability of an event that is very likely to occur?

    <p>Near 1</p> Signup and view all the answers

    What is the probability of an event if it occurs 80 times out of 100?

    <p>80%</p> Signup and view all the answers

    What type of question is used to obtain quantitative data?

    <p>Closed question</p> Signup and view all the answers

    What is the purpose of using a combination of question types in research?

    <p>To obtain comprehensive and in-depth data</p> Signup and view all the answers

    What is the formula for calculating the probability of an event?

    <p>P(E) = Number of favourable outcomes / Total number of possible outcomes</p> Signup and view all the answers

    What is the purpose of a two-way table in probability?

    <p>To show the probability of combined outcomes</p> Signup and view all the answers

    What is the purpose of a tree diagram in probability?

    <p>To provide a visual representation of all possible outcomes of an event or series of events</p> Signup and view all the answers

    What is the formula for the complement of an event?

    <p>P(not E) = 1 - P(E)</p> Signup and view all the answers

    What is the purpose of observing data in research?

    <p>To collect data without personal contact</p> Signup and view all the answers

    What is the purpose of using a questionnaire in collecting data?

    <p>To collect data from a large number of people</p> Signup and view all the answers

    What is the aim of research before starting the research process?

    <p>To find out a specific aspect about the subject</p> Signup and view all the answers

    What is the primary purpose of using a database?

    <p>To organize and store data for future use</p> Signup and view all the answers

    What is the potential consequence of not choosing a random sample?

    <p>Sample bias and unreliable data</p> Signup and view all the answers

    What is the purpose of a relevance check in developing a questionnaire?

    <p>To determine the necessary questions</p> Signup and view all the answers

    What is the primary difference between open-ended and closed-ended questions?

    <p>The type of response required</p> Signup and view all the answers

    What is the purpose of classifying data into categorical and numerical data?

    <p>To organize data for analysis</p> Signup and view all the answers

    What is the purpose of using tallies in organizing data?

    <p>To count the frequency of each group</p> Signup and view all the answers

    What is the formula for calculating the total number of items in a dataset?

    <p>Total number of items = ∑ Frequencies</p> Signup and view all the answers

    What is the purpose of using a likert scale in a questionnaire?

    <p>To provide specific options for respondents to choose from</p> Signup and view all the answers

    What is the purpose of organizing data into class intervals?

    <p>To make it easier to manage large datasets</p> Signup and view all the answers

    What is the purpose of a frequency table in organizing data?

    <p>To show the list of categories or groups of items, along with the number of times each item occurs</p> Signup and view all the answers

    What is the primary purpose of summarising data?

    <p>To simplify the analysis process</p> Signup and view all the answers

    What is the formula for calculating the mean?

    <p>(Sum of all values) / (Number of values)</p> Signup and view all the answers

    What is the purpose of a pie chart in data analysis?

    <p>To compare parts of a whole</p> Signup and view all the answers

    What is the median of a dataset?

    <p>The middle value when the data is arranged in ascending or descending order</p> Signup and view all the answers

    What is the purpose of measures of central tendency and spread?

    <p>To summarise the data efficiently for better analysis and interpretation</p> Signup and view all the answers

    What is the range of a dataset?

    <p>The difference between the highest and lowest values in the dataset</p> Signup and view all the answers

    What is the next step after summarising the data?

    <p>To represent the data graphically</p> Signup and view all the answers

    What is the purpose of a bar graph in data analysis?

    <p>To display data that can be compared across different categories</p> Signup and view all the answers

    What is the main difference between a bar graph and a histogram?

    <p>The bars in histograms are adjacent to indicate that the data is continuous</p> Signup and view all the answers

    What is the purpose of analysis in data analysis?

    <p>To carefully examine the information and make decisions based on it</p> Signup and view all the answers

    What is the main purpose of a histogram in data analysis?

    <p>To show continuous data that is grouped into intervals</p> Signup and view all the answers

    What is the term for the amount of money owed?

    <p>Debt</p> Signup and view all the answers

    What is the purpose of a municipal bill?

    <p>To provide detailed information about the property, services used, and amounts due</p> Signup and view all the answers

    What is the purpose of a tariff system?

    <p>To determine the cost of services based on usage</p> Signup and view all the answers

    What is the purpose of a till slip?

    <p>To provide details of purchased items, including their prices and VAT charged</p> Signup and view all the answers

    What is the term for the maximum amount of credit allowed?

    <p>Credit Limit</p> Signup and view all the answers

    What is the purpose of a telephone bill?

    <p>To detail charges for landline or cell phone usage</p> Signup and view all the answers

    What is Value Added Tax (VAT)?

    <p>A fixed extra cost added to the cost of most items and services</p> Signup and view all the answers

    What is the difference between an opening balance and a closing balance?

    <p>The opening balance is the amount due on the account before the current month's expenses, while the closing balance is the total amount due after adding the current month's expenses</p> Signup and view all the answers

    What is the purpose of an account statement?

    <p>To detail purchases, payments made, and amounts owed</p> Signup and view all the answers

    What is the main purpose of a tariff system?

    <p>To provide a pre-determined schedule of prices for services</p> Signup and view all the answers

    What is the formula for calculating telephone costs?

    <p>Total Cost = Basic Fixed Charge + (Rate per Second × Duration in Seconds)</p> Signup and view all the answers

    What is the difference between a surplus and a deficit?

    <p>A surplus is when income exceeds expenditure, while a deficit is when expenditure exceeds income</p> Signup and view all the answers

    What is the term for money earned from producing and selling goods or services?

    <p>Profit</p> Signup and view all the answers

    What is the purpose of a budget?

    <p>To plan and balance income and expenditure</p> Signup and view all the answers

    What is the term for regular and unchanging income?

    <p>Fixed Income</p> Signup and view all the answers

    What is the formula for calculating municipal costs?

    <p>Total Cost = Sum of (Usage in Category × Tariff for Category)</p> Signup and view all the answers

    What is the term for infrequent income, such as gifts or inheritance?

    <p>Occasional Income</p> Signup and view all the answers

    What is the term for the amount of money owed?

    <p>Debt</p> Signup and view all the answers

    What is the purpose of a study loan?

    <p>To provide financial assistance to students</p> Signup and view all the answers

    What is the main purpose of a budget?

    <p>To plan for future income and expenses</p> Signup and view all the answers

    What is the difference between a budget and a statement?

    <p>A budget is a plan for future income and expenses, while a statement is a record of actual income and expenses</p> Signup and view all the answers

    What is the importance of saving?

    <p>It is essential for preparing for unexpected costs, annual bills, and important events</p> Signup and view all the answers

    What is the formula for calculating the monthly savings?

    <p>Monthly Savings = Total Income - (Total Fixed Expenses + Total Variable Expenses + Total Occasional Expenses)</p> Signup and view all the answers

    What is the purpose of a bank account?

    <p>To deposit and withdraw money, earn interest, and keep track of one's financial transactions</p> Signup and view all the answers

    What type of bank account is used to deposit and withdraw money, and usually has an overdraft facility?

    <p>Cheque or Current Account</p> Signup and view all the answers

    What is the definition of interest rate?

    <p>A percentage charged for the borrowing or loan of a sum of money over a given period of time</p> Signup and view all the answers

    What is the purpose of using negative numbers?

    <p>To represent values below zero, such as debts or temperatures</p> Signup and view all the answers

    What is the rule for rounding a number to the nearest 10?

    <p>Numbers with units digits 1-4 round down, 5-9 round up</p> Signup and view all the answers

    What is the term for the amount of money in the account at the beginning and the end of the period?

    <p>Opening and Closing Balance</p> Signup and view all the answers

    How do you calculate the interest amount if you know the interest rate?

    <p>Interest Amount = Principal Amount x Interest Rate</p> Signup and view all the answers

    What is the purpose of Value Added Tax (VAT)?

    <p>To charge a tax on goods and services</p> Signup and view all the answers

    What is the term for the comparison of two numbers with different units?

    <p>Rate</p> Signup and view all the answers

    What is the purpose of supplying certain information and documents when opening a bank account?

    <p>To comply with the Financial Intelligence Centre Act (FICA)</p> Signup and view all the answers

    How do you calculate the percentage value of a given amount?

    <p>Convert the percentage to a fraction and multiply it by the given amount</p> Signup and view all the answers

    How is VAT calculated?

    <p>VAT = 14% of the price of the goods</p> Signup and view all the answers

    What is the purpose of a bank statement?

    <p>To show the transactions, balance, and other relevant information about the account</p> Signup and view all the answers

    What is the term for the decrease from the original price of an item?

    <p>Discount</p> Signup and view all the answers

    What is the purpose of finding better deals on existing expenses in budgeting for savings?

    <p>To transfer balances to lower interest accounts</p> Signup and view all the answers

    What is the term for the amount of money paid out of an account?

    <p>Debit Transaction</p> Signup and view all the answers

    What is the purpose of banking fees?

    <p>To charge customers for the services provided by the bank</p> Signup and view all the answers

    What is the opposite of a negative number?

    <p>A positive number</p> Signup and view all the answers

    What is the result of comparing statements to budgets?

    <p>It helps to track financial performance</p> Signup and view all the answers

    What is the purpose of Value Added Tax (VAT)?

    <p>To charge a tax on goods and services</p> Signup and view all the answers

    What is the formula to calculate the VAT amount?

    <p>VAT Amount = Price x VAT Rate</p> Signup and view all the answers

    What is the term for an item that does not have VAT added to the price?

    <p>VAT Exempt</p> Signup and view all the answers

    What is the formula for calculating the total bank fees?

    <p>Monthly Maintenance Fee + Self-Service Banking Fee + Cash Deposit Fee + Withdrawal Fee + Balance Inquiry Fee + Other Transaction Fees</p> Signup and view all the answers

    What is the convention in South Africa for separating whole numbers from decimal fractions?

    <p>Using a decimal comma</p> Signup and view all the answers

    What is the purpose of using a place value table?

    <p>To identify the value of each digit in a large number</p> Signup and view all the answers

    What is the rule for multiplying a number by 10?

    <p>Shift each digit one place to the left</p> Signup and view all the answers

    What is the purpose of estimating answers to calculations?

    <p>To think about a problem before working it out</p> Signup and view all the answers

    What is the formula for calculating the bank fee for withdrawal?

    <p>Initial Fee + (Additional Fee × Number of Additional Units)</p> Signup and view all the answers

    What is the acronym used to remember the order of operations?

    <p>BODMAS</p> Signup and view all the answers

    What is the purpose of using a calculator?

    <p>To perform basic operations and other functions</p> Signup and view all the answers

    What is the definition of a proper fraction?

    <p>Numerator is smaller than the denominator</p> Signup and view all the answers

    What is the purpose of breaking down and multiplying large numbers?

    <p>To make multiplication and addition easier</p> Signup and view all the answers

    What is the purpose of grouping numbers in multiplication?

    <p>To make multiplication and addition easier</p> Signup and view all the answers

    How do you convert a common fraction to a decimal fraction?

    <p>Use division to convert</p> Signup and view all the answers

    What is the purpose of using a place value table?

    <p>To compare the size of numbers</p> Signup and view all the answers

    What operation is performed when dividing fractions?

    <p>Multiply by the reciprocal of the divisor</p> Signup and view all the answers

    What is the purpose of estimating in math problems?

    <p>To check the accuracy of answers</p> Signup and view all the answers

    What is the convention for writing whole numbers in words?

    <p>Separate numbers into groups of three digits</p> Signup and view all the answers

    What is the order of operations when using a calculator?

    <p>BODMAS</p> Signup and view all the answers

    What is the result of adding a number and its opposite?

    <p>Zero</p> Signup and view all the answers

    What is the purpose of a mixed number?

    <p>To combine a whole number and a fraction</p> Signup and view all the answers

    What is the format for writing numbers in South Africa?

    <p>Decimal comma separates whole numbers from decimal fractions</p> Signup and view all the answers

    What is the probability of an event that is certain to occur?

    <p>1</p> Signup and view all the answers

    What is the term for the actual result of an experiment?

    <p>Relative frequency</p> Signup and view all the answers

    What type of game is weighted to favor one player over another?

    <p>Unfair game</p> Signup and view all the answers

    What is the purpose of a tree diagram in probability?

    <p>To show all possible outcomes of an event</p> Signup and view all the answers

    What is the collection of one or more outcomes in probability?

    <p>Event</p> Signup and view all the answers

    What is the probability of an event that is impossible to occur?

    <p>0</p> Signup and view all the answers

    What is the term for the number of times something happens in a game of chance?

    <p>Frequency</p> Signup and view all the answers

    What is an example of a combined outcome in probability?

    <p>Rolling an even number</p> Signup and view all the answers

    What type of graph is used to display data that is compared across categories?

    <p>Bar graph</p> Signup and view all the answers

    What is the primary purpose of a tariff system?

    <p>To determine the cost of services based on usage</p> Signup and view all the answers

    What is the purpose of summarising data?

    <p>To simplify the analysis process</p> Signup and view all the answers

    What is the difference between a credit and a debit?

    <p>A credit is an increase in an account, while a debit is a decrease</p> Signup and view all the answers

    What is the measure of central tendency that shows the central position of a dataset?

    <p>Mean</p> Signup and view all the answers

    What is the purpose of a municipal bill?

    <p>To calculate the total amount due for utility services</p> Signup and view all the answers

    What type of graph is used to compare parts of a whole?

    <p>Pie chart</p> Signup and view all the answers

    What is the formula for calculating the mean?

    <p>(Sum of values) / (Number of values)</p> Signup and view all the answers

    What is the purpose of a till slip?

    <p>To detail the items purchased, including prices and VAT</p> Signup and view all the answers

    What is the purpose of an account statement?

    <p>To detail the purchases, payments, and amounts owed</p> Signup and view all the answers

    What is the purpose of measures of central tendency and spread?

    <p>To help in summarising the data efficiently</p> Signup and view all the answers

    What is the next step after summarising the data?

    <p>Representing data graphically</p> Signup and view all the answers

    What is Value Added Tax (VAT)?

    <p>A fixed extra cost added to the cost of most items and services</p> Signup and view all the answers

    What is the mode of a dataset?

    <p>The value that appears most frequently</p> Signup and view all the answers

    What is the difference between an opening balance and a closing balance?

    <p>An opening balance is the amount due at the beginning of the month, while a closing balance is the amount due at the end</p> Signup and view all the answers

    What is the purpose of a telephone bill?

    <p>To detail the charges for landline or cell phone usage</p> Signup and view all the answers

    What is the range of a dataset?

    <p>The difference between the highest and lowest values</p> Signup and view all the answers

    What is the purpose of a histogram in data analysis?

    <p>To represent continuous data grouped into intervals</p> Signup and view all the answers

    What is the purpose of financial documents?

    <p>To manage personal and household finances</p> Signup and view all the answers

    What is the analysis of data?

    <p>A continuous process</p> Signup and view all the answers

    What is the purpose of a random sample formula?

    <p>To ensure every individual in the population has an equal chance of being selected</p> Signup and view all the answers

    What is the main difference between categorical and numerical data?

    <p>Categorical data cannot be measured numerically, while numerical data can</p> Signup and view all the answers

    What is the purpose of a relevance check in developing a questionnaire?

    <p>To analyze each question for necessity, feasibility, and likelihood of getting an honest answer</p> Signup and view all the answers

    What is the purpose of using a likert scale in a questionnaire?

    <p>To provide a range of response options for respondents to choose from</p> Signup and view all the answers

    What is the purpose of classifying data?

    <p>To organize data into categories</p> Signup and view all the answers

    What is the purpose of using tallies in organizing data?

    <p>To count the number of items in a group</p> Signup and view all the answers

    What is the formula for calculating the sample size?

    <p>n = N/(1 + N(e^2))</p> Signup and view all the answers

    What is the purpose of a questionnaire in collecting data?

    <p>To collect data from a large group of people in a structured and standardized way</p> Signup and view all the answers

    What is the formula for calculating probability?

    <p>P(E) = Number of favourable outcomes / Total number of possible outcomes</p> Signup and view all the answers

    What is the formula for finding the total number of items in a dataset?

    <p>Total number of items = Sum of frequencies of all class intervals</p> Signup and view all the answers

    What is the purpose of a two-way table in probability?

    <p>To calculate the probability of combined outcomes</p> Signup and view all the answers

    What is the purpose of developing a good questionnaire?

    <p>To ensure that the information collected is valid and accurate</p> Signup and view all the answers

    What is the main difference between closed and open questions?

    <p>Closed questions provide quantitative data, while open questions provide qualitative data</p> Signup and view all the answers

    What is the purpose of a tree diagram in probability?

    <p>To provide a visual representation of all possible outcomes of an event or series of events</p> Signup and view all the answers

    What is the formula for stating the aim of research?

    <p>Aim = To find out [specific aspect] about [subject]</p> Signup and view all the answers

    What is the purpose of using a combination of question types in research?

    <p>To obtain both quantitative and qualitative data</p> Signup and view all the answers

    What is the purpose of observation as a method of collecting data?

    <p>To collect data without personal contact with respondents</p> Signup and view all the answers

    What is the purpose of an interview as a method of collecting data?

    <p>To collect data through direct contact with respondents</p> Signup and view all the answers

    What is the purpose of a questionnaire as a method of collecting data?

    <p>To collect data from a large number of respondents over a wide area</p> Signup and view all the answers

    What is the formula for the complement of an event?

    <p>P(not E) = 1 - P(E)</p> Signup and view all the answers

    What is the purpose of a tariff system?

    <p>To provide a schedule of prices for services</p> Signup and view all the answers

    What type of income is received from renting out property?

    <p>Rental Income</p> Signup and view all the answers

    What is the formula for calculating municipal costs?

    <p>Total Cost = ∑ (Usage in Category × Tariff for Category)</p> Signup and view all the answers

    What is the difference between a surplus and a deficit?

    <p>Surplus is when income exceeds expenditure, and deficit is when expenditure exceeds income</p> Signup and view all the answers

    What is the purpose of a budget?

    <p>To plan expenditure based on expected income</p> Signup and view all the answers

    What is the formula for calculating telephone costs?

    <p>Total Cost = Basic Fixed Charge + (Rate per Second × Duration in Seconds)</p> Signup and view all the answers

    What type of expenditure is classified as regular and unchanging?

    <p>Fixed Expenses</p> Signup and view all the answers

    What is the formula for calculating profit?

    <p>Profit = Total Income - Cost of Production</p> Signup and view all the answers

    What is the purpose of a study loan?

    <p>To provide financial assistance to students</p> Signup and view all the answers

    What is the difference between a bursary and a study loan?

    <p>A bursary is financial assistance, while a study loan is a loan</p> Signup and view all the answers

    What type of bank account earns interest?

    <p>Savings Account</p> Signup and view all the answers

    What is the purpose of a bank statement?

    <p>To show the account holder's transactions</p> Signup and view all the answers

    What is the term for the amount of money paid out of an account?

    <p>Debit transaction</p> Signup and view all the answers

    What is the purpose of supplying certain documents when opening a bank account?

    <p>All of the above</p> Signup and view all the answers

    What is the term for the person whose name the account is in?

    <p>Account holder</p> Signup and view all the answers

    What is the term for the amount of money in the account at the beginning and end of the period?

    <p>Opening and closing balance</p> Signup and view all the answers

    What is the purpose of bank fees?

    <p>To charge account holders for using bank services</p> Signup and view all the answers

    What is the term for the amount of money deposited into an account?

    <p>Credit transaction</p> Signup and view all the answers

    What type of bank account is used for long-term savings?

    <p>Fixed Deposit Account</p> Signup and view all the answers

    Which of the following items is exempt from VAT?

    <p>Taxi fares</p> Signup and view all the answers

    What is the primary purpose of a budget?

    <p>To plan for future income and expenses</p> Signup and view all the answers

    What is the difference between a budget and a statement?

    <p>A budget is a plan for future income and expenses, while a statement is a record of actual income and expenses</p> Signup and view all the answers

    What is the purpose of saving?

    <p>To prepare for unexpected costs, annual bills, and important events</p> Signup and view all the answers

    What is the formula for calculating monthly savings?

    <p>Monthly Savings = Total Income - (Total Fixed Expenses + Total Variable Expenses + Total Occasional Expenses)</p> Signup and view all the answers

    What is interest?

    <p>A percentage charged for the borrowing of money</p> Signup and view all the answers

    How is the interest rate calculated if we are given the final amount and need to find the interest rate?

    <p>Interest Rate = (Interest Amount / Original Amount) x 100</p> Signup and view all the answers

    What is Value Added Tax (VAT)?

    <p>A tax on goods and services</p> Signup and view all the answers

    What percentage of the price of goods is VAT charged at?

    <p>14%</p> Signup and view all the answers

    Who pays the VAT?

    <p>The final consumer</p> Signup and view all the answers

    What is the purpose of comparing statements to budgets?

    <p>To track financial performance</p> Signup and view all the answers

    What is the purpose of using negative numbers in real-life situations?

    <p>To represent values below zero, such as debts or temperatures</p> Signup and view all the answers

    When rounding a number to the nearest 10, what happens to numbers with units digits 1-4?

    <p>They round down</p> Signup and view all the answers

    What is the definition of a rate?

    <p>A comparison of two numbers with different units</p> Signup and view all the answers

    What is the next step in calculating a percentage after converting the percentage to a fraction?

    <p>Multiplying the fraction by the given amount</p> Signup and view all the answers

    What is the difference between a discount and an increase in percentage?

    <p>A discount is a decrease, and an increase is an additional amount</p> Signup and view all the answers

    What is the purpose of simplifying ratios?

    <p>To make the ratio easier to understand and compare</p> Signup and view all the answers

    What is the formula for calculating the total bank fees?

    <p>Monthly Maintenance Fee + Self-Service Banking Fee + Cash Deposit Fee + Withdrawal Fee + Balance Inquiry Fee + Other Transaction Fees</p> Signup and view all the answers

    In South Africa, what is used to separate whole numbers from decimal fractions?

    <p>Decimal comma</p> Signup and view all the answers

    What is the purpose of using a place value table?

    <p>To identify the value of each digit</p> Signup and view all the answers

    What is the correct order of operations in calculations?

    <p>BODMAS</p> Signup and view all the answers

    What is the purpose of the 'Change Sign' key on a calculator?

    <p>To change the sign of a number</p> Signup and view all the answers

    How do you multiply a number by 100?

    <p>Shift each digit two places to the left</p> Signup and view all the answers

    What is the purpose of using a formula for calculating the bank fee for withdrawal?

    <p>To calculate the bank fee for withdrawal</p> Signup and view all the answers

    What is the purpose of writing numbers in words?

    <p>To read and write large numbers</p> Signup and view all the answers

    What is the purpose of creating a place value table when arranging numbers in order?

    <p>To compare digits starting from the leftmost column</p> Signup and view all the answers

    What is the purpose of estimating answers to calculations?

    <p>To think about a problem before working it out</p> Signup and view all the answers

    What is a common fraction where the numerator is larger than the denominator?

    <p>Improper Fraction</p> Signup and view all the answers

    How do you add or subtract fractions?

    <p>Find the least common multiple of the denominators and convert both fractions to have that denominator</p> Signup and view all the answers

    What is the result of adding a number and its opposite?

    <p>Zero</p> Signup and view all the answers

    How do you convert a common fraction to a decimal fraction?

    <p>Divide the numerator by the denominator</p> Signup and view all the answers

    What is the purpose of using a place value table?

    <p>To compare the size of numbers</p> Signup and view all the answers

    What is the order of operations when using brackets in a calculation?

    <p>Brackets, then orders, then division and multiplication, then addition and subtraction</p> Signup and view all the answers

    How do you multiply a number by 10, 100, or 1000?

    <p>Shift each digit to the left by the number of zeros in the multiplier</p> Signup and view all the answers

    What is the purpose of estimating in a calculation?

    <p>To think about a problem before solving it</p> Signup and view all the answers

    What is the format for writing whole numbers in words?

    <p>Starting from the right, separate numbers into groups of three digits</p> Signup and view all the answers

    What is the purpose of using a calculator?

    <p>To perform arithmetic operations</p> Signup and view all the answers

    What is the probability of an event that is certain to occur?

    <p>1</p> Signup and view all the answers

    What is the term for the calculated probability of an event?

    <p>Theoretical Probability</p> Signup and view all the answers

    What is the purpose of a tree diagram?

    <p>To show all possible outcomes of an event</p> Signup and view all the answers

    What is the term for a collection of one or more outcomes?

    <p>Event</p> Signup and view all the answers

    What is an example of a combined outcome?

    <p>Rolling an even number</p> Signup and view all the answers

    What is the characteristic of a fair game?

    <p>Equal chance of winning or losing</p> Signup and view all the answers

    What is the term for the actual result of an experiment?

    <p>Relative Frequency</p> Signup and view all the answers

    What is the probability of an event that is impossible to occur?

    <p>0</p> Signup and view all the answers

    What is the main purpose of summarising data?

    <p>To simplify the analysis process</p> Signup and view all the answers

    What is the measure of central tendency that shows the average of a set of values?

    <p>Mean</p> Signup and view all the answers

    What is the type of graph used to show the relationship between two quantities over time?

    <p>Line graph</p> Signup and view all the answers

    What is the main difference between a bar graph and a histogram?

    <p>The way the bars are arranged</p> Signup and view all the answers

    What is the formula for calculating the mean?

    <p>Mean = (Sum of values) / (Number of values)</p> Signup and view all the answers

    What is the purpose of a pie chart in data analysis?

    <p>To compare parts of a whole</p> Signup and view all the answers

    What is the analysis of data?

    <p>The process of examining data to make decisions</p> Signup and view all the answers

    What is the measure of spread that shows how spread out the data values are?

    <p>Range</p> Signup and view all the answers

    What is the next step after summarising the data?

    <p>Representing the data graphically</p> Signup and view all the answers

    What is the purpose of measures of central tendency and spread?

    <p>To help in summarising the data efficiently</p> Signup and view all the answers

    What is the formula for calculating the probability of an event?

    <p>P(E) = (Number of favourable outcomes) / (Total number of possible outcomes)</p> Signup and view all the answers

    What type of question is 'What do you think about [topic]?'?

    <p>Open question</p> Signup and view all the answers

    What is the purpose of using a combination of question types in research?

    <p>To get both quantitative and qualitative data</p> Signup and view all the answers

    What is the formula for the complement of an event?

    <p>P(not E) = 1 - P(E)</p> Signup and view all the answers

    What is the purpose of a two-way table in probability?

    <p>To show the probability of combined outcomes</p> Signup and view all the answers

    What is the main difference between observation and interview methods of collecting data?

    <p>One involves personal contact, while the other does not</p> Signup and view all the answers

    What is the purpose of a questionnaire in collecting data?

    <p>To get information from respondents who are spread over a wide area</p> Signup and view all the answers

    What type of question is 'Do you [action/condition]?'?

    <p>Closed question</p> Signup and view all the answers

    What is the purpose of constructing effective questions in research?

    <p>To ensure that the questions are clear, concise, and free from bias</p> Signup and view all the answers

    What is the purpose of a tree diagram in probability?

    <p>To show all possible outcomes of an event or series of events</p> Signup and view all the answers

    What is the purpose of a sample in data collection?

    <p>To make inferences about the population</p> Signup and view all the answers

    What is the main difference between open-ended and closed-ended questions?

    <p>Closed-ended questions allow respondents to answer in their own words</p> Signup and view all the answers

    What is the purpose of the relevance check in developing a questionnaire?

    <p>To ensure each question is necessary and feasible</p> Signup and view all the answers

    What is the purpose of a likert scale?

    <p>To measure the degree of agreement or opinion</p> Signup and view all the answers

    What is the difference between categorical and numerical data?

    <p>Categorical data cannot be measured numerically, while numerical data can</p> Signup and view all the answers

    What is the purpose of class intervals in organizing data?

    <p>To group continuous data into specific ranges</p> Signup and view all the answers

    What is the formula for finding the total number of items in a dataset?

    <p>Total number of items = ∑ Frequencies</p> Signup and view all the answers

    What is the purpose of a frequency table?

    <p>To show the list of categories or groups of items, along with the number of times each item occurs</p> Signup and view all the answers

    What is the purpose of tallies in organizing data?

    <p>To count the number of items in a group</p> Signup and view all the answers

    What is the next step after collecting data?

    <p>To organize the data</p> Signup and view all the answers

    What is a tariff?

    <p>A pre-determined schedule of prices for services</p> Signup and view all the answers

    What is the main purpose of a histogram in data analysis?

    <p>To display continuous data that is grouped into intervals</p> Signup and view all the answers

    What is the formula for calculating municipal costs?

    <p>Total Cost = ∑ (Usage in Category × Tariff for Category)</p> Signup and view all the answers

    What is the key difference between a credit and a debit?

    <p>A credit is money paid into an account, while a debit is money paid from an account</p> Signup and view all the answers

    What is an example of a variable income?

    <p>Commission</p> Signup and view all the answers

    What is the purpose of a budget?

    <p>To plan expenditure based on expected income</p> Signup and view all the answers

    What is the purpose of a municipal bill?

    <p>To provide detailed information about the property and services used</p> Signup and view all the answers

    What is the difference between a surplus and a deficit?

    <p>Surplus is income that exceeds expenditure, while deficit is expenditure that exceeds income</p> Signup and view all the answers

    What is the primary purpose of a tariff system?

    <p>To determine the cost of services based on usage</p> Signup and view all the answers

    What is the purpose of a till slip?

    <p>To detail purchases, including prices and VAT charged</p> Signup and view all the answers

    What is the formula for calculating the profit?

    <p>Profit = Total Income - Cost of Production</p> Signup and view all the answers

    What is the purpose of an account statement?

    <p>To detail purchases, payments made, and amounts owed</p> Signup and view all the answers

    What is the purpose of a telephone tariff?

    <p>To charge for telephone calls based on duration and distance</p> Signup and view all the answers

    What is the term for the fixed extra cost added to the cost of most items and services in South Africa?

    <p>Value Added Tax (VAT)</p> Signup and view all the answers

    What is the formula for calculating telephone costs?

    <p>Total Cost = Basic Fixed Charge + (Rate per Second × Duration in Seconds)</p> Signup and view all the answers

    What is an example of a fixed expense?

    <p>Rent</p> Signup and view all the answers

    What is the difference between an opening balance and a closing balance?

    <p>An opening balance is the amount due on the account before the current month's expenses, while a closing balance is the total amount due after adding the current month's expenses</p> Signup and view all the answers

    What type of graph is used to compare parts of a whole?

    <p>Pie chart</p> Signup and view all the answers

    What is the purpose of a transport tariff?

    <p>To charge for services such as transportation</p> Signup and view all the answers

    What is the purpose of a telephone bill?

    <p>To detail charges for landline or cell phone usage</p> Signup and view all the answers

    What is the primary purpose of budgeting?

    <p>To plan for future income and expenses</p> Signup and view all the answers

    What is the main difference between a budget and a statement?

    <p>A budget is a plan for future income and expenses, while a statement is a record of actual income and expenses</p> Signup and view all the answers

    What is the formula for calculating the monthly savings?

    <p>Total Income - (Total Fixed Expenses + Total Variable Expenses + Total Occasional Expenses)</p> Signup and view all the answers

    What is the purpose of saving?

    <p>To prepare for unexpected costs, annual bills, and important events</p> Signup and view all the answers

    What is the definition of interest rate?

    <p>The percentage charged for the borrowing or loan of a sum of money over a given period of time</p> Signup and view all the answers

    What is the formula for calculating the interest amount?

    <p>Principal Amount x Interest Rate</p> Signup and view all the answers

    What is the purpose of Value Added Tax (VAT)?

    <p>To generate revenue for the government</p> Signup and view all the answers

    What is the percentage of Value Added Tax (VAT) in South Africa?

    <p>14%</p> Signup and view all the answers

    What is the importance of repaying debts before starting to save?

    <p>To avoid accruing interest and reduce available funds for savings</p> Signup and view all the answers

    What is the purpose of comparing statements to budgets?

    <p>To track financial performance</p> Signup and view all the answers

    What is the purpose of using negative numbers?

    <p>To represent values below zero, such as debts or temperatures</p> Signup and view all the answers

    When rounding a number to the nearest 10, which of the following is true?

    <p>Numbers with units digits 1-4 round down, 5-9 round up</p> Signup and view all the answers

    What is the definition of a ratio?

    <p>A comparison of two or more numbers of the same type</p> Signup and view all the answers

    How do you calculate a percentage value?

    <p>By converting the percentage to a fraction and multiplying by the given amount</p> Signup and view all the answers

    What is a unit rate?

    <p>A rate that compares two quantities with one of the quantities being one unit</p> Signup and view all the answers

    What is the difference between a discount and an increase?

    <p>A discount is a decrease from the original price, while an increase is an additional amount added to the original price</p> Signup and view all the answers

    What is the primary purpose of VAT exemption?

    <p>To reduce the cost of essential items</p> Signup and view all the answers

    What is the formula to calculate the VAT amount?

    <p>VAT Amount = Price × VAT Rate</p> Signup and view all the answers

    What is the purpose of a bank statement?

    <p>To show the transaction history</p> Signup and view all the answers

    What is the main difference between a savings account and a cheque account?

    <p>The overdraft facility</p> Signup and view all the answers

    What is the purpose of FICA?

    <p>To require certain information and documents when opening a bank account</p> Signup and view all the answers

    What is a debit transaction?

    <p>A withdrawal from an account</p> Signup and view all the answers

    What is the purpose of bank charges?

    <p>To increase revenue for the bank</p> Signup and view all the answers

    What is the purpose of a fixed deposit account?

    <p>To earn interest on a lump sum</p> Signup and view all the answers

    What is the difference between a credit account and a debit account?

    <p>The ability to purchase items now and pay for them later</p> Signup and view all the answers

    What is the purpose of a bank account package?

    <p>To offer a range of accounts and services</p> Signup and view all the answers

    What is the formula for calculating the total bank fees?

    <p>Monthly Maintenance Fee + Self-Service Banking Fee + Cash Deposit Fee + Withdrawal Fee + Balance Inquiry Fee + Other Transaction Fees</p> Signup and view all the answers

    What is the purpose of using a place value table?

    <p>To identify the value of each digit in a large number</p> Signup and view all the answers

    How do you multiply a number by 10?

    <p>Shift each digit one place to the left</p> Signup and view all the answers

    What is the purpose of using a calculator's memory function?

    <p>To add or subtract a number from the memory</p> Signup and view all the answers

    What is the acronym used to remember the order of operations?

    <p>BODMAS</p> Signup and view all the answers

    What is the purpose of breaking down large numbers into smaller parts?

    <p>To make multiplication and addition easier</p> Signup and view all the answers

    What is the convention for separating whole numbers from decimal fractions in South Africa?

    <p>Using a decimal comma</p> Signup and view all the answers

    What is the purpose of estimating answers to calculations?

    <p>To think about a problem before working it out</p> Signup and view all the answers

    How do you arrange numbers in order?

    <p>Create a place value table and compare the numbers column by column</p> Signup and view all the answers

    What is the purpose of using the formula for bank fee for withdrawal?

    <p>To calculate the initial fee and additional fee</p> Signup and view all the answers

    What is a characteristic of a proper fraction?

    <p>Numerator is smaller than the denominator.</p> Signup and view all the answers

    What is the process of converting a common fraction to a decimal fraction?

    <p>Dividing the numerator by the denominator.</p> Signup and view all the answers

    What is the purpose of a convention in number formats?

    <p>To create a standard way of writing numbers.</p> Signup and view all the answers

    What is the result of adding a number and its opposite?

    <p>Zero.</p> Signup and view all the answers

    What is the purpose of estimating in mathematical problems?

    <p>To think about a problem before solving it.</p> Signup and view all the answers

    What is the order of operations in BODMAS?

    <p>Brackets, Orders, Division, Multiplication, Addition, Subtraction.</p> Signup and view all the answers

    What is the result of multiplying a number by 10?

    <p>The number is shifted to the left by one digit.</p> Signup and view all the answers

    What is the purpose of converting between fractions and decimal fractions?

    <p>To make calculations easier.</p> Signup and view all the answers

    What is the purpose of a mixed number?

    <p>To represent a combination of a whole number and a fraction.</p> Signup and view all the answers

    What is the purpose of using a place value table?

    <p>To compare numbers.</p> Signup and view all the answers

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