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

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

  • 0.25
  • 0
  • 1 (correct)
  • 0.5

    • What is the term for the number of times something happens in an experiment?

  • Frequency (correct)
  • Fair
  • Random
  • Trial

    • What is the probability of an event that is impossible to happen?

  • 0.5
  • 0 (correct)
  • 0.25
  • 1

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

    <p>Theoretical Probability</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 a diagram used to show all possible outcomes of an event?

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

    What is an event that has an equal chance of winning or losing?

    <p>Fair Game</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 formula to calculate the mean of a dataset?

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

    What is the measure of central tendency that is the middle value when data is arranged in ascending or descending order?

    <p>Median</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 range of a dataset?

    <p>The highest value minus the lowest value</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 main difference between a bar graph and a histogram?

    <p>Bar graphs are used for categorical data, while histograms are used for continuous data</p> Signup and view all the answers

    What is the formula to calculate the total number of items in grouped data?

    <p>Total number of items = ∑(Frequencies)</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 purpose of analysing data?

    <p>To make decisions based on the information</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 to calculate the mean of a set of data?

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

    What type of graph is used to show changes over time and relationships between two quantities?

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

    What is the value that appears most frequently in a data set?

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

    What is the difference between the highest and lowest values in a data set?

    <p>Range</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 questionnaire?

    <p>To get information from many people over a wide area</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 money paid into an account?

    <p>Credit</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 a tree diagram used for?

    <p>To show the outcomes of a series of events</p> Signup and view all the answers

    What is the purpose of a random sample formula?

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

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

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

    What is the purpose of a closed question?

    <p>To obtain straightforward, quantitative data</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 main difference between open-ended and closed-ended questions?

    <p>Open-ended questions allow respondents to answer in their own words, closed-ended questions do not</p> Signup and view all the answers

    What is the purpose of the Likert scale?

    <p>To design closed-ended questions</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 document that details purchased items, including their prices, the total amount paid, and any VAT charged?

    <p>Till Slip</p> Signup and view all the answers

    What is the term for the amount of credit still available for use?

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

    What is the purpose of a questionnaire?

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

    How can data be classified?

    <p>Into numerical and categorical data, and numerical data can be further classified into discrete and continuous data</p> Signup and view all the answers

    What is the advantage of using a combination of question types?

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

    What is the purpose of organizing data?

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

    What is a frequency table?

    <p>A 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 stating the aim of the research?

    <p>To clearly define the research topic and objectives</p> Signup and view all the answers

    What is the purpose of class intervals?

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

    What is the advantage of using open questions?

    <p>To gain deeper insights into respondents' opinions and behaviours</p> Signup and view all the answers

    What is the formula for questionnaire development?

    <p>Aim, structure, clarity, and relevance</p> Signup and view all the answers

    What is the formula for relative frequency?

    <p>Relative Frequency = Number of times an event occurs / Total number of trials</p> Signup and view all the answers

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

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

    What is the main purpose of tariff systems?

    <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 difference between a surplus and a deficit?

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

    What type of income is a salary?

    <p>Fixed income</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 is a tariff?

    <p>A unit of payment paired with a unit of measurement</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 profit?

    <p>Total income minus the cost of production</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 purpose of a transport tariff?

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

    What is the formula to calculate the interest rate as a percentage of the original amount?

    <p>Interest Rate = (Interest Amount / Original Amount) × 100</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 the VAT rate?

    <p>14%</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 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

    What is the purpose of FICA?

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

    What is a bank account that allows the account holder 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 of the period?

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

    What is personal expenditure?

    <p>Money spent on various needs and wants</p> Signup and view all the answers

    What are fixed expenses?

    <p>Regular and unchanging expenses, such as rent</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 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>To prepare for unexpected costs and annual bills</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 interest?

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

    What is the 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

    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 total amount if you know the principal amount and interest amount?

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

    What is the first step in the order of operations?

    <p>Brackets</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 result of adding a number and its opposite?

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

    What is the purpose of using decimal commas in South Africa?

    <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 estimating?

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

    What is the purpose of using a place value table?

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

    What is the term for a fraction whose numerator is larger than the denominator?

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

    What is the result of multiplying by 10?

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

    What is the purpose of converting fractions to decimal fractions?

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

    What happens when you multiply a number by 10, 100, or 1000?

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

    What is an improper fraction?

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

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

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

    What is the definition of a positive number?

    <p>A number greater than zero.</p> Signup and view all the answers

    What is the rule for rounding 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 type.</p> Signup and view all the answers

    What is the formula to calculate 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 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 are the charges that banks impose for various services called?

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

    What is the formula to calculate 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

    How are numbers separated in South Africa?

    <p>Using decimal commas and spaces</p> Signup and view all the answers

    What is the purpose of a place value table?

    <p>To identify the value of each digit</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 purpose of estimating answers to calculations?

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

    What is the formula to calculate the bank fee for withdrawal?

    <p>Initial Fee + (Additional Fee x Number of Additional Units)</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

    How do you read and write large numbers?

    <p>Separate the number into groups of three digits from right to left</p> Signup and view all the answers

    What is the purpose of using a place value table when ordering numbers?

    <p>To compare digits starting from the leftmost column</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 term for an experiment or test, like tossing a coin or rolling a dice?

    <p>Trial</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 category of an event with a probability between 0.5 and 1?

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

    What is the term for an event that has an equal chance of winning or losing?

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

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

    <p>1</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 probability of an event that is very unlikely to occur?

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

    What is the main purpose of using a questionnaire?

    <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 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 a random sample formula?

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

    What type of data can be classified into discrete and continuous data?

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

    What is the purpose of organizing data?

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

    What is the purpose of a Likert scale?

    <p>To measure responses to a question</p> Signup and view all the answers

    What is the advantage of using open-ended questions?

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

    What is the purpose of class intervals?

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

    What is the purpose of stating the aim of the research?

    <p>To clearly state the purpose of the questionnaire</p> Signup and view all the answers

    What is the purpose of using tallies?

    <p>To count how many of each group there are</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 is calculated by adding all values together and dividing by the number of values?

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

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

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

    What is the purpose of analysing data?

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

    What is the formula to calculate the total number of items in grouped data?

    <p>$\sum ( ext{Frequencies})$</p> Signup and view all the answers

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

    <p>Mode</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 purpose of representing data graphically?

    <p>To identify trends and patterns in the data</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 formula to calculate the range of a dataset?

    <p>$ ext{Highest value} - ext{Lowest value}$</p> Signup and view all the answers

    What is the probability of rain if it has rained on 60 out of 100 days with similar weather conditions?

    <p>60%</p> Signup and view all the answers

    What is the purpose of stating the aim of the research?

    <p>To clearly state the specific aspect of the research</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 closed question?

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

    What is a two-way table used for?

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

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

    <p>To obtain comprehensive research findings</p> Signup and view all the answers

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

    <p>Relative Frequency = (Number of times an event occurs) / (Total number of trials)</p> Signup and view all the answers

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

    <p>To collect data without personal contact</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 summarizing data?

    <p>To make the data more understandable and concise</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 formula for the range of a dataset?

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

    What is the purpose of a municipal bill?

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

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

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

    What is a proper fraction?

    <p>A fraction with a numerator less than the denominator.</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 a till slip?

    <p>To provide detailed information about the items purchased</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 definition of a rate?

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

    What is the purpose of multiplying by 10, 100, or 1000 in arithmetic operations?

    <p>To 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 a histogram?

    <p>To display continuous data that is grouped into intervals</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 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 method for finding the percentage value of a given amount?

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

    What is the purpose of a tariff system?

    <p>To calculate costs using given tariffs</p> Signup and view all the answers

    What is the definition of a mixed number?

    <p>A whole number combined with a fraction.</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 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 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 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 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 type of income that changes over time or with situations?

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

    What is interest?

    <p>The amount of money that you are charged for borrowing an amount of money</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</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 is the formula for calculating the interest amount?

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

    What is the type of tariff that covers services such as electricity, water, and refuse removal?

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

    What is the formula for calculating the cost of a telephone call?

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

    What is the purpose of calculating the interest rate?

    <p>To compare different loan options</p> Signup and view all the answers

    What type of expenses are infrequent or unforeseen?

    <p>Occasional (Unexpected) Expenses</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 type of tariff that is charged per unit distance and can vary based on the mode of transport?

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

    What is the term for a plan to balance expenditure with income?

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

    What is the term for financial assistance granted to students, usually from government or private companies?

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

    What is the formula to calculate the interest rate as a percentage of the original amount?

    <p>Interest Rate = (Interest Amount / Original Amount) * 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 is a VAT-exclusive price?

    <p>A price that excludes VAT</p> Signup and view all the answers

    What is a bank account that earns interest?

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

    What is the purpose of a bank statement?

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

    What is a debit transaction?

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

    What is the purpose of FICA?

    <p>To require identification and proof of residence when opening a bank account</p> Signup and view all the answers

    What is a fixed deposit account?

    <p>A type of bank account aimed at those who have a lump sum to invest over a set period</p> Signup and view all the answers

    What is the name of the fee that banks charge for transactions, such as withdrawals and deposits?

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

    What is the purpose of banking fees?

    <p>To charge for the services provided by banks</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 term for the amount of credit still available for use?

    <p>Available credit</p> Signup and view all the answers

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

    <p>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

    What is the key on a calculator that changes the sign of a number?

    <p>Change sign</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 purpose of a bank account that offers a certain number of free withdrawals, deposits, and balance inquiries per month?

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

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

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

    What is the purpose of reading and writing large numbers in groups of three digits?

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

    What is the purpose of using a calculator?

    <p>To perform basic operations such as addition, subtraction, multiplication, and division</p> Signup and view all the answers

    What does the acronym BODMAS stand for in the order of operations?

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

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

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

    What happens when you add a number and its opposite?

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

    What is the purpose of using a place value table to compare numbers?

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

    What is the purpose of estimating in calculations?

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

    How do you multiply fractions?

    <p>Multiply the numerators together and the denominators together</p> Signup and view all the answers

    What is a decimal fraction?

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

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

    <p>To convert between different formats</p> Signup and view all the answers

    What is the purpose of using a calculator in calculations?

    <p>To perform complex calculations</p> Signup and view all the answers

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

    <p>Near 1</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 difference between a fair game and an unfair game?

    <p>A fair game has an equal chance of winning or losing, while an unfair game is weighted to favor one player</p> Signup and view all the answers

    What is the probability of an event that is even chance?

    <p>0.5</p> Signup and view all the answers

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

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

    What is the probability of an event that is unlikely to happen?

    <p>Between 0 and 0.5</p> Signup and view all the answers

    What is the purpose of calculating the theoretical probability of an event?

    <p>To determine the probability of an event occurring</p> Signup and view all the answers

    What is the term for the calculated probability of an event, not necessarily the actual result of an experiment?

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

    What is the probability of rain if it has rained on 60 out of 100 days with similar weather conditions?

    <p>60%</p> Signup and view all the answers

    What type of diagram is used to show 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 stating the aim of the research?

    <p>To clearly state the aim of the research</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 combination of closed and open questions?

    <p>To collect comprehensive research data</p> Signup and view all the answers

    What is the purpose of a questionnaire?

    <p>To collect data through a predetermined set of questions</p> Signup and view all the answers

    What is the formula for calculating the relative frequency?

    <p>Relative Frequency = (Number of times an event occurs) / (Total number of trials)</p> Signup and view all the answers

    What is the purpose of a closed question?

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

    What is the advantage of using open questions?

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

    What is the purpose of data collection?

    <p>To collect data for research purposes</p> Signup and view all the answers

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

    <p>To get information from many people over a wide area</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 classifying data?

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

    What is the term for data that can be measured using numbers?

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

    What is the purpose of using tallies in data organization?

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

    What is the formula for the Likert scale?

    <p>Response Score = ∑R_i</p> Signup and view all the answers

    What is the purpose of stating the aim of the research in a questionnaire?

    <p>To clearly state the purpose of the questionnaire</p> Signup and view all the answers

    What is the term for a sample of people chosen from a population?

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

    What is the purpose of using closed-ended questions 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 group continuous data into specific ranges</p> Signup and view all the answers

    What is the median in a set of data?

    <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 a pie chart?

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

    What is the term for the difference between the highest and lowest values in a data set?

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

    What is the document that provides details of purchased items, including their prices, the total amount paid, and any VAT charged?

    <p>Till slip</p> Signup and view all the answers

    What is the term for money paid into an account?

    <p>Credit</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 municipal bills?

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

    What is the purpose of account statements?

    <p>To show the balance of the account and any payments made</p> Signup and view all the answers

    What is the term for money paid from an account?

    <p>Debit</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 term for money earned from producing and selling goods or services?

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

    What is a budget?

    <p>A plan to balance expenditure with income</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 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 term for financial assistance granted to students, usually from government or private companies?

    <p>Bursary</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 a fixed amount of money paid regularly for work done over a longer period?

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

    What is the term for an amount of money paid for work done in a shorter period?

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

    What is the term for a plan for future income and expenses?

    <p>Budget</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) x Total Income</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 the formula to calculate 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 term for the amount of money charged for borrowing money?

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

    What is the formula to calculate the interest amount?

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

    What is the term for the percentage charged for borrowing money?

    <p>Interest Rate</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 formula to calculate the interest rate as a percentage of the original amount?

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

    What is the rate at which Value Added Tax (VAT) is charged?

    <p>14% of the price of the goods</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 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 an improper fraction?

    <p>A fraction with a numerator greater than the denominator.</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 a debit transaction?

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

    What is the result of multiplying a number by 10?

    <p>A shift of each digit to the left by 1 place.</p> Signup and view all the answers

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

    <p>To represent parts of a whole in different forms.</p> Signup and view all the answers

    What is the purpose of FICA?

    <p>To provide financial intelligence</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 a cheque account used for?

    <p>To deposit and withdraw money</p> Signup and view all the answers

    What is the purpose of using ratios 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 difference between a credit account and a debit account?

    <p>A credit account allows for purchases now and payment later</p> Signup and view all the answers

    What is the purpose of a bank's monthly fee?

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

    What is the formula to calculate a percentage?

    <p>Fraction multiplied by the given amount.</p> Signup and view all the answers

    What is the term for the fees charged by banks for various services?

    <p>Transaction fees</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 formula to calculate the VAT amount?

    <p>VAT Amount = Price × VAT Rate</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 convention used in South Africa to separate whole numbers from decimal fractions?

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

    What is the purpose of using place value tables?

    <p>To identify the value of each digit in a number</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 basic calculator?

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

    What is the purpose of using a calculator?

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

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

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

    What is the purpose of using a place value table when ordering numbers?

    <p>To compare numbers column by column from left to right</p> Signup and view all the answers

    What is the purpose of reading and writing large numbers in groups of three digits?

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

    What does the acronym BODMAS stand for in the order of operations?

    <p>Brackets, Orders, Division, Multiplication, Addition, and Subtraction (from left to right)</p> Signup and view all the answers

    Which of the following is a common fraction?

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

    What is the effect of multiplying a number by 10?

    <p>The number shifts one place to the left</p> Signup and view all the answers

    What is the purpose of converting fractions to decimal fractions?

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

    How are whole numbers written 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 a calculator?

    <p>To perform complex calculations quickly</p> Signup and view all the answers

    What is the term for a combination of a whole number and a fraction?

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

    How do you add or subtract fractions with different denominators?

    <p>Convert the fractions to have a common denominator</p> Signup and view all the answers

    What is the purpose of estimating?

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

    How do you divide fractions?

    <p>Multiply by the reciprocal of the divisor</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 value?

    <p>Mean</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 measure of spread that shows how spread out the data values are?

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

    What is the purpose of representing data graphically?

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

    What is the formula to calculate the number of items less than a certain value in grouped data?

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

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

    <p>Bar graphs have gaps between the bars, while histograms do not</p> Signup and view all the answers

    What is the purpose of analysing data?

    <p>To make decisions based on the information</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 measure of central tendency that is the middle value when data is arranged in ascending or descending order?

    <p>Median</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 probability of an event that is very likely to occur?

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

    What is the main purpose of a questionnaire?

    <p>To gather information from a large population</p> Signup and view all the answers

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

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

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

    What type of data cannot be measured numerically?

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

    What is the formula to calculate the sample size?

    <p>n = N / (1 + N(e^2))</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 value that appears most frequently in a dataset?

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

    What is the purpose of classifying data?

    <p>To make the data more understandable</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 difference between the highest and lowest values in a dataset?

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

    What is the purpose of stating the aim of the research?

    <p>To clearly define the research question</p> Signup and view all the answers

    What is the purpose of organizing data?

    <p>To make it easier to understand</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 range of the probability scale?

    <p>0 to 1</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 term for the number of times an event occurs in an experiment?

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

    What type of question asks respondents to choose from specific options?

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

    What is the formula to calculate the total number of items in grouped data?

    <p>Sum of frequencies</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 a Likert scale?

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

    What is the term for an event that occurs without being made to happen deliberately?

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

    What is the purpose of analysing data?

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

    What is the main advantage of using a combination of closed and open questions in a questionnaire?

    <p>It provides both quantitative and qualitative data</p> Signup and view all the answers

    What is the formula for the random sample?

    <p>Probability of selection = 1 / N</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 term for the actual result of an experiment?

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

    What is the purpose of stating the aim of the research?

    <p>To clearly define the research purpose</p> Signup and view all the answers

    What is the purpose of a questionnaire?

    <p>To collect data from a sample of respondents</p> Signup and view all the answers

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

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

    What is the term for the frequency of an event occurring in an experiment?

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

    What is the purpose of using tallies?

    <p>To count the frequency of each group</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 main difference between closed and open questions?

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

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

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

    What is the term for a table that shows the outcomes of two events, making it easier to calculate combined probabilities?

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

    What is the measure of central tendency that is the middle value when data is arranged in ascending or descending order?

    <p>Median</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 term for money owed?

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

    What is the document that details purchased items, including their prices, the total amount paid, and any VAT charged?

    <p>Till Slip</p> Signup and view all the answers

    What is the maximum amount of credit allowed?

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

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

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

    What is the amount of credit still available for use?

    <p>Credit Available</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 term for the difference between the highest and lowest values in a data set?

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

    What is the main purpose of tariff systems?

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

    What is the first step in the order of operations?

    <p>Brackets</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 multiply a number by 10?

    <p>Shift each digit one place to the left</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 main purpose of tariff systems?

    <p>To determine the cost of services based on usage</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

    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 a fixed amount of money paid regularly for work done over a longer period?

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

    What is the formula for calculating profit?

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

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

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

    What is a mixed number?

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

    What is a budget?

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

    What is the purpose of a calculator's memory keys?

    <p>To store and recall numbers during calculations</p> Signup and view all the answers

    What is the difference between income and expenditure called when income exceeds expenditure?

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

    What is the decimal comma used for in South Africa?

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

    What is the term for the cost of services like electricity, water, and transport based on usage?

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

    What is the formula to calculate the interest rate?

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

    What is the formula for calculating telephone costs?

    <p>Basic Fixed Charge + (Rate per Second x Duration in Seconds)</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 Value Added Tax (VAT)?

    <p>A tax paid by everybody when buying goods and services</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 purpose of estimating answers to calculations?

    <p>To think about a problem before working it out and check answers for accuracy</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 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 VAT?

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

    What is the formula to calculate 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 a VAT-inclusive price?

    <p>A price that includes VAT</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 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 a bank account?

    <p>A financial account that can be opened with a financial institution</p> Signup and view all the answers

    What is the purpose of using a calculator?

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

    What is the purpose of a bank statement?

    <p>To show the transactions of the account for a certain period</p> Signup and view all the answers

    What is a debit transaction?

    <p>An 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 calculate the total bank fees</p> Signup and view all the answers

    What is the formula to calculate the bank fee for a withdrawal?

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

    What is the purpose of banks charging fees?

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

    What is the purpose of using formulas and steps for number formats and conventions?

    <p>To perform calculations accurately</p> Signup and view all the answers

    What is the purpose of FICA?

    <p>To ensure that account holders provide certain information and documents</p> Signup and view all the answers

    What is the purpose of using a place value table to order numbers?

    <p>To compare numbers column by column from left to right</p> Signup and view all the answers

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

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

    What is the main purpose of a personal budget?

    <p>To plan and manage 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 to calculate 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 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 is the formula to calculate the interest amount?

    <p>Interest Amount = Principal Amount x Interest Rate</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 formula to calculate 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 budgeting for particular items or events?

    <p>To plan for specific events or expenses, such as parties or trips</p> Signup and view all the answers

    What is debt?

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

    What happens when 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 a proper fraction?

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

    How do you add or subtract fractions?

    <p>Convert fractions to a common denominator.</p> Signup and view all the answers

    What is a decimal fraction?

    <p>A representation of parts of a whole.</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 rule for rounding 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 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?

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

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