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

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

  • Space
  • Dash
  • Decimal point
  • Decimal comma (correct)

    • What type of number is used to represent exact counts?

  • Measurement
  • Order Number
  • Counting Number (correct)
  • Percentage

    • What is the purpose of using a place value table?

  • To separate numbers into groups of three digits
  • To round numbers to the nearest ten
  • To compare numbers
  • To identify the value of each digit (correct)

    • How do you read and write large numbers?

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

    What is the purpose of using a decimal point in number representation?

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

    What is the term for a standard way of doing something?

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

    What is the purpose of using spaces in number representation in South Africa?

    <p>To separate groups of three digits</p> Signup and view all the answers

    What is the term for the way something appears or is set out?

    <p>Format</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>To add a number to the memory</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 result of adding a number and its opposite?

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

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

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

    How do you write a whole number in words?

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

    What is the purpose of using place value when working with large numbers?

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

    How do you arrange numbers in order?

    <p>Draw a table with place value columns and compare from the leftmost column</p> Signup and view all the answers

    What is a proper fraction?

    <p>A fraction with a numerator smaller than the denominator</p> Signup and view all the answers

    What is the result of 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 in mathematics?

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

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

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

    What is the definition of a proper fraction?

    <p>A fraction with a numerator less than the denominator</p> Signup and view all the answers

    What is the result of dividing a fraction by its reciprocal?

    <p>The result is always 1</p> Signup and view all the answers

    What is the definition of a negative number?

    <p>A number less than zero</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 ratio?

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

    What is the purpose of a closed question in a survey?

    <p>To obtain straightforward, quantitative data</p> Signup and view all the answers

    What is the formula for calculating a percentage?

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

    What is the main purpose of classifying data?

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

    What type of data can be measured using numbers?

    <p>Numerical data</p> Signup and view all the answers

    What is the purpose of using a combination of closed and open questions in research?

    <p>To gain both qualitative and quantitative insights</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 type of question is typically used to collect quantitative data?

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

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

    <p>Sum of frequencies of all class intervals</p> Signup and view all the answers

    What is the primary advantage of using a questionnaire in data collection?

    <p>It is convenient for collecting data from a wide geographical area</p> Signup and view all the answers

    What is the main purpose of summarizing data?

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

    What is the term for the group from which we want to collect data?

    <p>Population</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 formula for avoiding sample bias?

    <p>Probability of selection = 1/N</p> Signup and view all the answers

    How is the median calculated when the number of values is even?

    <p>By taking the average of the two middle values</p> Signup and view all the answers

    What is the primary goal of developing a good questionnaire?

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

    What is the purpose of using a Likert scale in questionnaire design?

    <p>To quantify respondents' attitudes or opinions</p> Signup and view all the answers

    What is the range of a dataset?

    <p>The highest value minus the lowest value</p> Signup and view all the answers

    What is the purpose of representing data graphically?

    <p>To make the data easier to interpret</p> Signup and view all the answers

    What is the primary characteristic of an open-ended question?

    <p>Respondents are asked to answer in their own words</p> Signup and view all the answers

    What is the term for an organized list of data that can be computerized or in a paper filing system?

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

    What is the modal class in a grouped dataset?

    <p>The class with the highest frequency</p> Signup and view all the answers

    What is the primary advantage of using observation in data collection?

    <p>It does not entail personal contact</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>Mean = (Sum of Values) / (Number of Values)</p> Signup and view all the answers

    What is the purpose of a line graph?

    <p>To show the relationship between two quantities</p> Signup and view all the answers

    What is the range of a data set?

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

    What is a financial document that details purchased items or services, the amount paid, or the amount due?

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

    What is the purpose of a histogram?

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

    What is the median of a data set with an even number of values?

    <p>The average of the two middle values</p> Signup and view all the answers

    What is the purpose of a bar graph?

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

    What is the mode of a data set?

    <p>The value that appears most frequently in the data set</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 formula to calculate profit?

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

    What is the difference between income and expenditure called?

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

    What type of income is regular and unchanging?

    <p>Fixed 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 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

    What is the importance of saving?

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

    What is the formula to calculate 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 difference between a budget and a statement?

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

    What is interest?

    <p>A fee for borrowing money</p> Signup and view all the answers

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

    <p>To avoid paying interest</p> Signup and view all the answers

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

    <p>To add a fixed extra cost to the cost of most items and services</p> Signup and view all the answers

    What is the difference between Opening Balance and Closing Balance?

    <p>Opening Balance is the amount due before the current month's expenses, and Closing Balance is the total amount due</p> Signup and view all the answers

    What is the purpose of a till slip?

    <p>To provide a receipt for the customer</p> Signup and view all the answers

    What is the difference between Credit Available and Credit Limit?

    <p>Credit Available is the amount of credit still available for use, and Credit Limit is the maximum amount of credit allowed</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 purpose of a Municipal Tariff?

    <p>To charge for services such as electricity, water, and refuse removal</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 purpose of a Telephone Tariff?

    <p>To charge for telephone 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 purpose of an account statement?

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

    What is the interest rate?

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

    What affects the interest rate a person is charged?

    <p>The South African Reserve Bank's lending rate, credit ratings, and employment history</p> Signup and view all the answers

    How do you calculate the interest amount?

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

    What is VAT?

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

    What is the VAT rate in South Africa?

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

    What is a VAT-inclusive price?

    <p>A price that includes VAT</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 using tree diagrams and two-way tables?

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

    What type of bank account has an overdraft facility?

    <p>Cheque account</p> Signup and view all the answers

    What is the purpose of a fixed deposit account?

    <p>To earn interest over a set period of time</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 a debit account used for?

    <p>To pay for purchases with money deducted directly from the account</p> Signup and view all the answers

    What is the term for the visual representation of all possible outcomes of an event or series of events?

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

    What is the purpose of analysing past weather data in weather predictions?

    <p>To predict the probability of rain</p> Signup and view all the answers

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

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

    What is the term for the number of times an event occurs divided by the total number of trials?

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

    What is required to open a bank account?

    <p>Identity document, proof of residence, and proof of income</p> Signup and view all the answers

    What is shown on a bank statement?

    <p>The date, description, amount, and balance of each transaction</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

    Why do banks charge fees?

    <p>To maintain the account and provide services</p> Signup and view all the answers

    What is the probability of an impossible event?

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

    What is a fair game?

    <p>A game with an equal chance of winning or losing</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 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

    What is the account holder?

    <p>The person whose name the account is in</p> Signup and view all the answers

    What is a transaction?

    <p>Any event where money moves into or out of an account</p> Signup and view all the answers

    What is the main purpose of using spaces in number representation in South Africa?

    <p>To separate groups of three digits</p> Signup and view all the answers

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

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

    What is the term for a standard way of doing something in number representation?

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

    How do you order numbers in a place value table?

    <p>Compare the numbers column by column from left to right</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 type of number is used to represent financial values?

    <p>Money amount</p> Signup and view all the answers

    What is the purpose of using percentages in number representation?

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

    What is the format for writing large numbers in South Africa?

    <p>R 1 000 000,00</p> Signup and view all the answers

    What is the purpose of using a combination of closed and open questions in research?

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

    What is the formula for avoiding sample bias?

    <p>Probability of selection = 1 / N</p> Signup and view all the answers

    What is the primary goal of developing a good questionnaire?

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

    What is the term for the group from which we want to collect data?

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

    What is the purpose of using observation in data collection?

    <p>To collect data without personal contact</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 primary characteristic of an open-ended question?

    <p>Respondents can answer in their own words</p> Signup and view all the answers

    What is the purpose of using a Likert scale in questionnaire design?

    <p>To provide a rating scale for respondents</p> Signup and view all the answers

    What is the term for an organized list of data that can be computerized or in a paper filing system?

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

    What is the primary advantage of using a questionnaire in data collection?

    <p>It is suitable for collecting data from a large sample</p> Signup and view all the answers

    What is the purpose of using the BODMAS acronym in calculations?

    <p>To recall the order of operations when performing calculations involving brackets and orders.</p> Signup and view all the answers

    Which of the following is a common situation where numbers are used?

    <p>To measure quantities such as lengths or masses.</p> Signup and view all the answers

    What is the result of multiplying a number by 1000?

    <p>The number is shifted three places to the left.</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 using the change sign key on a calculator?

    <p>To change the sign of a number.</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 breaking down and multiplying in addition and multiplication shortcuts?

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

    What is the definition of a decimal fraction?

    <p>Another way to write fractions whose denominators are powers of 10.</p> Signup and view all the answers

    What is the purpose of using the grouping method in addition and multiplication shortcuts?

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

    What is the purpose of using the order of operations in calculations involving brackets and orders?

    <p>To ensure that calculations are performed in the correct order.</p> Signup and view all the answers

    What is the purpose of estimating answers to calculations?

    <p>To check the accuracy of answers</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 operation do you perform when dividing a fraction by its reciprocal?

    <p>Multiplication</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 term for a comparison of two or more numbers of the same type?

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

    How do you simplify a ratio?

    <p>By dividing both terms by their greatest common divisor</p> Signup and view all the answers

    What is the purpose of using a closed question in a survey?

    <p>To obtain straightforward, quantitative data</p> Signup and view all the answers

    What is the formula for calculating a percentage?

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

    What is the primary advantage of using a questionnaire in data collection?

    <p>It is a cost-effective method</p> Signup and view all the answers

    What is the purpose of using a combination of closed and open questions in research?

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

    What is the main purpose of classifying data?

    <p>To organize it into groups or categories</p> Signup and view all the answers

    What is the difference between discrete and continuous data?

    <p>Discrete data has specific values, while continuous data can take any value within a range</p> Signup and view all the answers

    What is the purpose of using tallies in organizing data?

    <p>To count the frequency of each item</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 term for the value that appears most frequently in a dataset?

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

    What is the purpose of summarizing data?

    <p>To simplify the analysis process</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 using frequency tables in organizing data?

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

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

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

    What is the primary purpose of representing data graphically?

    <p>To make the data easier to understand and interpret</p> Signup and view all the answers

    What is the primary purpose of a pie chart?

    <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 adjacency of the bars</p> Signup and view all the answers

    What is the formula for calculating the range of a dataset?

    <p>Highest Value - Lowest Value</p> Signup and view all the answers

    What is the purpose of analyzing data?

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

    What is the definition of a median?

    <p>The middle value in a set of ordered data</p> Signup and view all the answers

    What is the purpose of a financial document like a municipal bill?

    <p>To detail what items or services were purchased</p> Signup and view all the answers

    What is the term for the type of graph that shows the relationship between two quantities?

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

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

    <p>To identify trends and patterns</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 using a line graph?

    <p>To show changes over time</p> Signup and view all the answers

    What is the purpose of a tariff system?

    <p>To determine the cost of goods and services</p> Signup and view all the answers

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

    <p>A tax added to the cost of goods and services</p> Signup and view all the answers

    What is the difference between a credit limit and credit available?

    <p>Credit limit is the maximum amount allowed, while credit available is the amount still available for use</p> Signup and view all the answers

    What is the formula for calculating municipal costs?

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

    What is the purpose of a till slip?

    <p>To provide a detailed breakdown of purchased items, including prices and 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 x Duration in Seconds)</p> Signup and view all the answers

    What type of tariff system is used for electricity, water, and sewage?

    <p>Municipal Tariffs</p> Signup and view all the answers

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

    <p>100%</p> Signup and view all the answers

    What is the main 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 transport tariff?

    <p>To charge per unit distance, with varying costs based on the mode of transport</p> Signup and view all the answers

    What is the purpose of analysing past weather data in weather predictions?

    <p>To understand the probability of rain</p> Signup and view all the answers

    What is the purpose of a shop account?

    <p>To allow purchases on credit, with monthly payments made against the outstanding balance</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 using a tree diagram?

    <p>To display the outcomes of a compound event</p> Signup and view all the answers

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

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

    What is the difference between income and expenditure called?

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

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

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

    What is the term for the relative frequency of an event?

    <p>Relative Frequency</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 budget?

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

    What type of income is regular and unchanging?

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

    What is the formula for calculating 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 and important events</p> Signup and view all the answers

    What is a study loan?

    <p>A loan granted to students to assist with financial matters during their study period</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 interest?

    <p>A fee paid for borrowing money</p> Signup and view all the answers

    What is the interest rate?

    <p>A percentage charged for 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 to calculate the interest amount?

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

    What is the VAT rate in South Africa?

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

    What is the purpose of VAT?

    <p>To tax the provision of goods and services</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 Fixed Deposit Account?

    <p>To earn interest on a lump sum over a set period of time</p> Signup and view all the answers

    What is the difference between a VAT-inclusive and VAT-exclusive price?

    <p>VAT-inclusive price is the price after VAT, while VAT-exclusive price is the price before VAT</p> Signup and view all the answers

    What is the formula to calculate the VAT amount?

    <p>VAT Amount = Price × (VAT Rate / 100)</p> Signup and view all the answers

    What type of bank account usually has an overdraft facility?

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

    What is the purpose of exempting certain items from VAT?

    <p>To reduce the price of essential goods</p> Signup and view all the answers

    What is the main purpose of collecting proof of residence when opening a bank account?

    <p>To comply with FICA regulations</p> Signup and view all the answers

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

    <p>A debit transaction is a withdrawal, while a credit transaction is a deposit</p> Signup and view all the answers

    What is the range of a probability scale?

    <p>0 to 1</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 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 formula for calculating total bank fees?

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

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

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

    What is the purpose of reducing transaction fees in banking?

    <p>To reduce the account holder's costs</p> Signup and view all the answers

    What is the term for the calculated probability of an event, as opposed to the actual result?

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

    What is the purpose of categorizing events as very unlikely, unlikely, even chance, likely, or very likely?

    <p>To describe the likelihood of an event</p> Signup and view all the answers

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

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

    What type of number is used to represent financial values?

    <p>Money Amounts</p> Signup and view all the answers

    What is the benefit of using a place value table?

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

    How do you order numbers in a correct sequence?

    <p>By comparing the numbers from left to right</p> Signup and view all the answers

    What is the purpose of separating numbers into groups of three digits?

    <p>To make the numbers easier to read</p> Signup and view all the answers

    What type of number is used to represent lengths and masses?

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

    How do you write a whole number in words?

    <p>By reading and writing each group separately</p> Signup and view all the answers

    What is the purpose of using codes in number representation?

    <p>To identify specific objects or items</p> Signup and view all the answers

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

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

    Which of the following is an example of using the change sign key on a calculator?

    <p>Changing from a positive to a negative number</p> Signup and view all the answers

    What is the result of multiplying a number by 1000?

    <p>Shifting each digit three places to the right</p> Signup and view all the answers

    Which of the following types of fractions is a combination of a whole number and a fraction?

    <p>Mixed number</p> Signup and view all the answers

    What is the purpose of converting fractions to have a common denominator before adding or subtracting?

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

    What is the purpose of estimating answers to calculations?

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

    What happens when you multiply a number by 10?

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

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

    <p>Zero</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

    What is the purpose of using the BODMAS rule in calculations?

    <p>To follow the order of operations</p> Signup and view all the answers

    What is the purpose of using a combination of closed and open questions in research?

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

    Which of the following is an example of a situation where a ratio is used?

    <p>Comparing proportions</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 using place value when working with large numbers?

    <p>To understand the size of the number</p> Signup and view all the answers

    What is the result of dividing a fraction by its reciprocal?

    <p>1</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 purpose of using a closed question in a survey?

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

    What is the formula for calculating a percentage?

    <p>(Fraction × 100) / Amount</p> Signup and view all the answers

    What is the primary purpose of classifying data?

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

    What is the purpose of using a Likert scale in questionnaire design?

    <p>To measure the intensity of opinions or attitudes</p> Signup and view all the answers

    What is the primary purpose of using a combination of closed and open questions in research?

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

    What is the formula for avoiding sample bias in a population?

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

    What is the main purpose of developing a good questionnaire?

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

    What type of question is typically used to collect quantitative data?

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

    What is the purpose of using a Likert scale in questionnaire design?

    <p>To measure the respondent's opinion or attitude</p> Signup and view all the answers

    What is the primary advantage of using observation in data collection?

    <p>It does not require direct contact with respondents</p> Signup and view all the answers

    What is the term for the group from which we want to collect data?

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

    What is the primary goal of summarizing data?

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

    What is the main purpose of classifying data?

    <p>To make the data more organized</p> Signup and view all the answers

    What is the term for an organized list of data that can be computerized or in a paper filing system?

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

    What is the primary purpose of classifying data?

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

    Which of the following is an example of continuous data?

    <p>The height of a person</p> Signup and view all the answers

    What is the purpose of using frequency tables?

    <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 formula for calculating the mean of a dataset?

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

    What is the term for the value that appears most frequently in a dataset?

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

    What is the purpose of summarizing data?

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

    What is the range of a dataset?

    <p>The highest value minus the lowest value</p> Signup and view all the answers

    What is the purpose of using tallies in data organization?

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

    What is the term for the middle value when the data is arranged in ascending or descending order?

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

    What is the purpose of representing data graphically?

    <p>To analyze and interpret data more easily</p> Signup and view all the answers

    What is the 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 determines the interest rate that a person is charged?

    <p>All of the above, including credit ratings, employment history, and ownership of assets like a home</p> Signup and view all the answers

    How do you calculate the interest amount?

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

    What is VAT?

    <p>A type of tax paid by the consumer when buying goods and services</p> Signup and view all the answers

    What is a VAT-exempt item?

    <p>An item that does not have VAT added to the price</p> Signup and view all the answers

    What is a fixed deposit account?

    <p>A bank account used for long-term investments</p> Signup and view all the answers

    What documents do you need to supply when opening a bank account?

    <p>Proof of residence or identity document</p> Signup and view all the answers

    What is a credit account?

    <p>A bank account used for making purchases and paying later</p> Signup and view all the answers

    What information does a bank statement show for each transaction?

    <p>Date and description of transaction, amount and balance after each transaction</p> Signup and view all the answers

    What is a debit account?

    <p>A bank account used for making purchases and paying immediately</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 a bank fee calculation?

    <p>To determine the total bank fees charged</p> Signup and view all the answers

    What is the purpose of VAT?

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

    What is a fair game in probability?

    <p>A game with an equal chance of winning or losing</p> Signup and view all the answers

    What is the VAT rate in South Africa?

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

    What is the range of a probability scale?

    <p>0 to 1</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 purpose of creating a tree diagram?

    <p>To show all possible outcomes of an event or series of events</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 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 an event in probability?

    <p>A collection of one or more outcomes</p> Signup and view all the answers

    What is the term for the visualization of all possible outcomes of two events?

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

    What is the purpose of using weather predictions?

    <p>To make decisions based on past weather data</p> Signup and view all the answers

    What is the purpose of using a probability scale?

    <p>To describe the likelihood of an event occurring</p> Signup and view all the answers

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

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

    What is the term for the number of times an event occurs divided by the total number of trials?

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

    What is the primary purpose of a pie chart?

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

    What does the median represent in a dataset?

    <p>The middle value</p> Signup and view all the answers

    What is the primary purpose of a histogram?

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

    What is the range of a dataset?

    <p>The highest value minus the lowest value</p> Signup and view all the answers

    What is the purpose of a line graph?

    <p>To show changes over time and relationships between two quantities</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 purpose of a bar graph?

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

    What is the primary purpose of analyzing data?

    <p>To make decisions based on the information</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 primary purpose of financial documents such as municipal bills and telephone bills?

    <p>To detail purchased items or services, their costs, and any outstanding amounts to be paid</p> Signup and view all the answers

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

    <p>To add a fixed extra cost to the cost of most items and services</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 any VAT charged</p> Signup and view all the answers

    What is the credit available?

    <p>The amount of credit still available for use</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 formula for calculating municipal costs?

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

    What is the purpose of a telephone tariff?

    <p>To charge based on call duration and distance</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 transport tariff?

    <p>To charge based on distance and mode of transport</p> Signup and view all the answers

    What is income?

    <p>Any money earned by individuals</p> Signup and view all the answers

    What is the purpose of a formula for calculating telephone costs?

    <p>To calculate the cost of a telephone call</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 a budget?

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

    What is the difference between a budget and a statement?

    <p>A budget is a plan, and a statement is a record</p> Signup and view all the answers

    What is the purpose of saving?

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

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

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

    What is a surplus?

    <p>Income exceeds expenditure</p> Signup and view all the answers

    What is fixed income?

    <p>Regular and unchanging income</p> Signup and view all the answers

    What is debt?

    <p>The amount of money owed</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 of the amount owed or borrowed</p> Signup and view all the answers

    What is the primary purpose of using different number formats in various contexts?

    <p>To convey specific information about the type of data</p> Signup and view all the answers

    Which of the following is an example of a measurement number?

    <p>A person's height</p> Signup and view all the answers

    What is the main advantage of using a place value table when working with large numbers?

    <p>It helps to identify the value of each digit</p> Signup and view all the answers

    What is the purpose of using percentages in number representation?

    <p>To represent rates or proportions</p> Signup and view all the answers

    What is the main difference between the decimal comma and decimal point formats?

    <p>The decimal comma is used in South Africa, while the decimal point is used in other countries</p> Signup and view all the answers

    What is the purpose of using codes in number representation?

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

    What is the main advantage of using whole numbers in words when writing large numbers?

    <p>It makes the number easier to read and understand</p> Signup and view all the answers

    What is the purpose of using order numbers in number representation?

    <p>To indicate positions or ranks</p> Signup and view all the answers

    What is the main purpose of combining closed and open questions in a survey?

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

    What is the formula for calculating the sample size when avoiding sample bias?

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

    What is the purpose of using a Likert scale in questionnaire design?

    <p>To measure the respondent's opinion or attitude</p> Signup and view all the answers

    What is the primary advantage of using observation in data collection?

    <p>It is less invasive than other methods</p> Signup and view all the answers

    What is the term for the group from which we want to collect data?

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

    What is the primary goal of developing a good questionnaire?

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

    What is the formula for calculating the response score in a Likert scale?

    <p>Response Score = Σ(R_i)</p> Signup and view all the answers

    What is the purpose of using databases in data collection?

    <p>To use existing information</p> Signup and view all the answers

    What is the primary characteristic of an open-ended question?

    <p>It allows respondents to answer in their own words</p> Signup and view all the answers

    What is the term for an organized list of data that can be computerized or in a paper filing system?

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

    What is the primary purpose of using the order of operations in calculations?

    <p>To ensure that calculations are performed in a specific order</p> Signup and view all the answers

    What is the result of multiplying a fraction by its reciprocal?

    <p>A fraction with a numerator of 1</p> Signup and view all the answers

    What is the main difference between categorical data and numerical data?

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

    What is the purpose of using class intervals in organizing data?

    <p>To make it easier to manage large datasets by grouping them into specific ranges.</p> Signup and view all the answers

    What is the purpose of using grouping when multiplying large numbers?

    <p>To simplify the calculation and make it easier to perform</p> Signup and view all the answers

    What is the difference between a proper fraction and an improper fraction?

    <p>A proper fraction has a numerator smaller than the denominator, while an improper fraction has a numerator larger than the denominator</p> Signup and view all the answers

    What is the formula for calculating the mean of a dataset?

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

    What is the result of adding a negative number to its opposite?

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

    What is the median of a dataset when the number of values is even?

    <p>The median is the average of the two middle values.</p> Signup and view all the answers

    What is the mode of a dataset?

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

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

    <p>To store and recall numbers for later use</p> Signup and view all the answers

    What is the range of a dataset?

    <p>The range is the highest value minus the lowest value.</p> Signup and view all the answers

    What is the result of multiplying a number by 1000?

    <p>The number is shifted three places to the left</p> Signup and view all the answers

    What is the purpose of summarizing data?

    <p>To make it easier to analyze the data.</p> Signup and view all the answers

    What is the purpose of converting fractions to decimal fractions?

    <p>To simplify the representation of fractions</p> Signup and view all the answers

    What is the modal class in a grouped dataset?

    <p>The modal class is the group with the highest frequency.</p> Signup and view all the answers

    What is the purpose of using a decimal point in number representation?

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

    What is the purpose of representing data graphically?

    <p>To make it easier to communicate the results to others.</p> Signup and view all the answers

    What is the result of dividing a fraction by its reciprocal?

    <p>The original fraction</p> Signup and view all the answers

    What is the type of data that can be measured using numbers?

    <p>Numerical data</p> Signup and view all the answers

    What is the primary purpose of estimating answers to calculations?

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

    When multiplying a number by 10, how do the digits shift?

    <p>To the left by one place</p> Signup and view all the answers

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

    <p>Always zero</p> Signup and view all the answers

    What is the primary purpose of using a ratio in real-life situations?

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

    What is the primary purpose of using a closed question in a survey?

    <p>To obtain straightforward, quantitative data</p> Signup and view all the answers

    What is the formula for calculating a percentage?

    <p>Percentage = (part/whole) × 100</p> Signup and view all the answers

    What is the primary purpose of classifying data?

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

    What is the primary purpose of using a Likert scale in questionnaire design?

    <p>To measure the strength of respondents' opinions</p> Signup and view all the answers

    What is the primary purpose of representing data graphically?

    <p>To display data in a visually appealing way</p> Signup and view all the answers

    What is the term for an organized list of data that can be computerized or in a paper filing system?

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

    What is the primary purpose of using histograms in graphical representation?

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

    Which measure of central tendency is affected by extreme values in a dataset?

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

    What is the purpose of calculating measures of central tendency and spread in data analysis?

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

    Which 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 purpose of using tariffs in financial documents?

    <p>To calculate the cost of a service using a given rate</p> Signup and view all the answers

    What is the term for the middle value in a set of ordered data?

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

    What is the purpose of using a municipal bill in financial documents?

    <p>To determine the amount of money owed for utilities</p> Signup and view all the answers

    What is the formula for calculating the range of a dataset?

    <p>Highest value - Lowest value</p> Signup and view all the answers

    What is the purpose of using a line graph in graphical representation?

    <p>To show the relationship between two quantities over time</p> Signup and view all the answers

    What is the term for the value that appears most frequently in a dataset?

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

    What is the primary purpose of a tariff system?

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

    What is the term for the amount of money earned by individuals from various sources?

    <p>Income</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 past income and expenses.</p> Signup and view all the answers

    What is the formula used to calculate municipal costs?

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

    What is the purpose of calculating the percentage for a category in a budget?

    <p>To calculate the amount to spend on each category.</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 any VAT charged</p> Signup and view all the answers

    What is the formula for calculating the surplus?

    <p>Surplus = Income - Expenditure</p> Signup and view all the answers

    What is the term for the maximum amount of credit allowed on a store account?

    <p>Credit limit</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 finding better deals on existing expenses in budgeting?

    <p>To increase available funds for savings</p> Signup and view all the answers

    What is the formula used to calculate telephone costs?

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

    What is the term for the amount due on a store account before the current month's expenses?

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

    What is the term for money received as gifts or allowances?

    <p>Gifts and Pocket Money</p> Signup and view all the answers

    What is the purpose of setting aside money for unexpected expenses?

    <p>To prepare for unexpected costs</p> Signup and view all the answers

    What is the purpose of a tariff?

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

    What is the formula for calculating the deficit?

    <p>Deficit = Expenditure - Income</p> Signup and view all the answers

    What is the term for the total amount due after adding the current month's expenses?

    <p>Closing balance</p> Signup and view all the answers

    What is the purpose of a store account?

    <p>To allow purchases on credit with monthly payments made against the outstanding balance</p> Signup and view all the answers

    What is the term for a loan granted to students to assist with financial matters during their study period?

    <p>Study Loan</p> Signup and view all the answers

    What is the purpose of budgeting for savings?

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

    What type of document is required to open a bank account, according to FICA?

    <p>Identity document or passport</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 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 probability of an event if it occurs 30 times out of 50 trials?

    <p>40%</p> Signup and view all the answers

    A tree diagram is used to represent:

    <p>All possible outcomes of a combined event</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 type of game is weighted to favor one player over another?

    <p>Unfair game</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 term for the collection of one or more outcomes?

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

    What is the purpose of using a two-way table?

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

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

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

    What is the purpose of using tree diagrams?

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

    What is the purpose of using relative frequency in probability?

    <p>To show the long-term behaviour of an event</p> Signup and view all the answers

    What is the term for the number of times something happens?

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

    What is the result of multiplying a number by its probability?

    <p>Expected value</p> Signup and view all the answers

    What is the purpose of using probability theory?

    <p>To make predictions about the likelihood of an event</p> Signup and view all the answers

    What is the primary factor that determines the interest rate offered by a bank?

    <p>The credit rating of the borrower</p> Signup and view all the answers

    What is the formula to calculate the total amount when the interest rate and principal amount are known?

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

    What is the percentage of Value Added Tax (VAT) charged on goods and services in South Africa?

    <p>14%</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 Value Added Tax (VAT)?

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

    What is the difference between the final amount and the original amount called?

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

    What is the purpose of deducting VAT paid when using goods to make an income?

    <p>To avoid paying VAT twice</p> Signup and view all the answers

    What type of bank account is aimed at those who have a lump sum to invest over a set period of time?

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

    What is the formula to calculate the interest rate when the interest amount and original amount are known?

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

    What is the term for a price that includes Value Added Tax (VAT)?

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

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