Gr10 Math Lit: November test mix P(1)

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?

Separate numbers into groups of three digits (D) Signup and view all the answers

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

To separate whole numbers from decimal fractions (C) Signup and view all the answers

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

Convention (C) Signup and view all the answers

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

To separate groups of three digits (D) Signup and view all the answers

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

Format (A) Signup and view all the answers

What is the purpose of estimating answers to calculations?

To think about a problem before working it out (B) Signup and view all the answers

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

To add a number to the memory (D) Signup and view all the answers

What is the order of operations in calculations?

BODMAS (A) Signup and view all the answers

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

Zero (C) Signup and view all the answers

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

To separate whole numbers from decimal fractions (A) Signup and view all the answers

How do you write a whole number in words?

Separate numbers into groups of three digits starting from the right (D) Signup and view all the answers

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

To understand the size of numbers (D) Signup and view all the answers

How do you arrange numbers in order?

Draw a table with place value columns and compare from the leftmost column (B) Signup and view all the answers

What is a proper fraction?

A fraction with a numerator smaller than the denominator (C) Signup and view all the answers

What is the result of multiplying a number by 10?

Shift each digit one place to the left (B) Signup and view all the answers

What is the purpose of estimating in mathematics?

To think about a problem before solving it (C) Signup and view all the answers

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

Brackets, Orders, Division, Multiplication, Addition, Subtraction (C) Signup and view all the answers

What is the result of multiplying a number by 10?

The number is shifted one digit to the left (C) Signup and view all the answers

What is the definition of a proper fraction?

A fraction with a numerator less than the denominator (B) Signup and view all the answers

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

The result is always 1 (D) Signup and view all the answers

What is the definition of a negative number?

A number less than zero (A) Signup and view all the answers

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

Numbers with units digits 1-4 round down, 5-9 round up (D) Signup and view all the answers

What is the definition of a ratio?

A comparison of two or more numbers of the same unit (B) Signup and view all the answers

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

To obtain straightforward, quantitative data (D) Signup and view all the answers

What is the formula for calculating a percentage?

Convert the percentage to a decimal and multiply by the given amount (C) Signup and view all the answers

What is the main purpose of classifying data?

To describe the data (D) Signup and view all the answers

What type of data can be measured using numbers?

Numerical data (A) Signup and view all the answers

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

To gain both qualitative and quantitative insights (A) Signup and view all the answers

What is the purpose of using tallies in organizing data?

To count the frequency of each group (B) Signup and view all the answers

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

Closed-ended question (D) Signup and view all the answers

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

Sum of frequencies of all class intervals (C) Signup and view all the answers

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

It is convenient for collecting data from a wide geographical area (A) Signup and view all the answers

What is the main purpose of summarizing data?

To simplify the analysis process (C) Signup and view all the answers

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

Population (C) Signup and view all the answers

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

Mean (C) Signup and view all the answers

What is the formula for avoiding sample bias?

Probability of selection = 1/N (C) Signup and view all the answers

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

By taking the average of the two middle values (A) Signup and view all the answers

What is the primary goal of developing a good questionnaire?

To ensure the information collected is valid and accurate (C) Signup and view all the answers

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

To quantify respondents' attitudes or opinions (D) Signup and view all the answers

What is the range of a dataset?

The highest value minus the lowest value (B) Signup and view all the answers

What is the purpose of representing data graphically?

To make the data easier to interpret (D) Signup and view all the answers

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

Respondents are asked to answer in their own words (D) 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?

Database (B) Signup and view all the answers

What is the modal class in a grouped dataset?

The class with the highest frequency (B) Signup and view all the answers

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

It does not entail personal contact (B) Signup and view all the answers

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

Pie chart (D) Signup and view all the answers

What is the formula for calculating the mean?

Mean = (Sum of Values) / (Number of Values) (B) Signup and view all the answers

What is the purpose of a line graph?

To show the relationship between two quantities (D) Signup and view all the answers

What is the range of a data set?

The difference between the highest and lowest values (A) Signup and view all the answers

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

Bill (B) Signup and view all the answers

What is the purpose of a histogram?

To represent continuous data grouped into intervals (D) Signup and view all the answers

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

The average of the two middle values (C) Signup and view all the answers

What is the purpose of a bar graph?

To display data that can be compared across different categories (D) Signup and view all the answers

What is the mode of a data set?

The value that appears most frequently in the data set (D) Signup and view all the answers

What is the purpose of a municipal bill?

To provide detailed information about the property and services used (D) Signup and view all the answers

What is the formula to calculate profit?

Profit = Total Income - Cost of Production (A) Signup and view all the answers

What is the difference between income and expenditure called?

Deficit (B), Surplus (D) Signup and view all the answers

What type of income is regular and unchanging?

Fixed Income (C) Signup and view all the answers

What is the purpose of a budget?

To plan expenditure based on expected income (B) Signup and view all the answers

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

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

What is the importance of saving?

To prepare for unexpected costs, annual bills, and important events (D) Signup and view all the answers

What is the formula to calculate monthly savings?

Monthly Savings = Total Income - (Total Fixed Expenses + Total Variable Expenses + Total Occasional Expenses) (B) Signup and view all the answers

What is the difference between a budget and a statement?

A budget is a plan, while a statement is a record of actual income and expenses (A) Signup and view all the answers

What is interest?

A fee for borrowing money (A) Signup and view all the answers

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

To avoid paying interest (C) Signup and view all the answers

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

To add a fixed extra cost to the cost of most items and services (C) Signup and view all the answers

What is the difference between Opening Balance and Closing Balance?

Opening Balance is the amount due before the current month's expenses, and Closing Balance is the total amount due (D) Signup and view all the answers

What is the purpose of a till slip?

To provide a receipt for the customer (A) Signup and view all the answers

What is the difference between Credit Available and Credit Limit?

Credit Available is the amount of credit still available for use, and Credit Limit is the maximum amount of credit allowed (B) Signup and view all the answers

What is a tariff?

A pre-determined schedule of prices for services (C) Signup and view all the answers

What is the purpose of a Municipal Tariff?

To charge for services such as electricity, water, and refuse removal (B) Signup and view all the answers

What is the formula for calculating municipal costs?

Total Cost = ∑ (Usage in Category × Tariff for Category) (B) Signup and view all the answers

What is the purpose of a Telephone Tariff?

To charge for telephone services (A) Signup and view all the answers

What is the formula for calculating telephone costs?

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

What is the purpose of an account statement?

To detail purchases, payments made, and amounts owed (D) Signup and view all the answers

What is the interest rate?

A percentage charged for borrowing a sum of money (C) Signup and view all the answers

What affects the interest rate a person is charged?

The South African Reserve Bank's lending rate, credit ratings, and employment history (B) Signup and view all the answers

How do you calculate the interest amount?

Interest Amount = Principal Amount x Interest Rate (B) Signup and view all the answers

What is VAT?

A form of tax paid on goods and services (C) Signup and view all the answers

What is the VAT rate in South Africa?

14% (D) Signup and view all the answers

What is a VAT-inclusive price?

A price that includes VAT (D) Signup and view all the answers

What type of bank account earns interest?

Savings account (C) Signup and view all the answers

What is the purpose of using tree diagrams and two-way tables?

To show all possible outcomes of combined events (C) Signup and view all the answers

What type of bank account has an overdraft facility?

Cheque account (C) Signup and view all the answers

What is the purpose of a fixed deposit account?

To earn interest over a set period of time (A) Signup and view all the answers

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

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

What is a debit account used for?

To pay for purchases with money deducted directly from the account (B) 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?

Tree diagram (D) Signup and view all the answers

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

To predict the probability of rain (A) Signup and view all the answers

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

P(not E) = 1 - P(E) (A) 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?

Relative frequency (B) Signup and view all the answers

What is required to open a bank account?

Identity document, proof of residence, and proof of income (A) Signup and view all the answers

What is shown on a bank statement?

The date, description, amount, and balance of each transaction (C) Signup and view all the answers

What is a debit transaction?

Amount of money paid out of an account (B) Signup and view all the answers

Why do banks charge fees?

To maintain the account and provide services (D) Signup and view all the answers

What is the probability of an impossible event?

0 (A) Signup and view all the answers

What is a fair game?

A game with an equal chance of winning or losing (C) Signup and view all the answers

What is the purpose of a tree diagram?

To show all possible outcomes of an event (B) Signup and view all the answers

What is the formula for calculating total bank fees?

Monthly Maintenance Fee + Self-Service Banking Fee + Cash Deposit Fee + Withdrawal Fee + Balance Inquiry Fee + Other Transaction Fees (A) Signup and view all the answers

What is the account holder?

The person whose name the account is in (B) Signup and view all the answers

What is a transaction?

Any event where money moves into or out of an account (B) Signup and view all the answers

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

To separate groups of three digits (C) Signup and view all the answers

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

To separate whole numbers from decimal fractions (A) Signup and view all the answers

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

Convention (A) Signup and view all the answers

How do you order numbers in a place value table?

Compare the numbers column by column from left to right (D) Signup and view all the answers

What is the purpose of using a place value table?

To identify the value of each digit (C) Signup and view all the answers

What type of number is used to represent financial values?

Money amount (C) Signup and view all the answers

What is the purpose of using percentages in number representation?

To represent rates (B) Signup and view all the answers

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

R 1 000 000,00 (B) Signup and view all the answers

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

To collect both quantitative and qualitative data (C) Signup and view all the answers

What is the formula for avoiding sample bias?

Probability of selection = 1 / N (B) Signup and view all the answers

What is the primary goal of developing a good questionnaire?

To ensure the information collected is valid and accurate (D) Signup and view all the answers

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

Population (C) Signup and view all the answers

What is the purpose of using observation in data collection?

To collect data without personal contact (B) Signup and view all the answers

What is the formula for calculating the sample size?

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

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

Respondents can answer in their own words (A) Signup and view all the answers

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

To provide a rating scale for respondents (A) 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?

Database (C) Signup and view all the answers

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

It is suitable for collecting data from a large sample (A) Signup and view all the answers

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

To recall the order of operations when performing calculations involving brackets and orders. (D) Signup and view all the answers

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

To measure quantities such as lengths or masses. (C) Signup and view all the answers

What is the result of multiplying a number by 1000?

The number is shifted three places to the left. (A) Signup and view all the answers

What is the definition of a mixed number?

A combination of a whole number and a fraction. (B) Signup and view all the answers

What is the purpose of using the change sign key on a calculator?

To change the sign of a number. (D) Signup and view all the answers

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

Zero. (C) Signup and view all the answers

What is the purpose of breaking down and multiplying in addition and multiplication shortcuts?

To make calculations easier. (B) Signup and view all the answers

What is the definition of a decimal fraction?

Another way to write fractions whose denominators are powers of 10. (A) Signup and view all the answers

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

To make calculations easier. (A) Signup and view all the answers

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

To ensure that calculations are performed in the correct order. (B) Signup and view all the answers

What is the purpose of estimating answers to calculations?

To check the accuracy of answers (C) Signup and view all the answers

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

Divide the numerator by the denominator (C) Signup and view all the answers

What operation do you perform when dividing a fraction by its reciprocal?

Multiplication (C) Signup and view all the answers

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

Zero (A) Signup and view all the answers

What is the term for a comparison of two or more numbers of the same type?

Ratio (A) Signup and view all the answers

How do you simplify a ratio?

By dividing both terms by their greatest common divisor (C) Signup and view all the answers

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

To obtain straightforward, quantitative data (B) Signup and view all the answers

What is the formula for calculating a percentage?

Convert the percentage to a decimal and multiply by the given amount (C) Signup and view all the answers

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

It is a cost-effective method (C) Signup and view all the answers

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

To collect both quantitative and qualitative data (A) Signup and view all the answers

What is the main purpose of classifying data?

To organize it into groups or categories (C) Signup and view all the answers

What is the difference between discrete and continuous data?

Discrete data has specific values, while continuous data can take any value within a range (D) Signup and view all the answers

What is the purpose of using tallies in organizing data?

To count the frequency of each item (A) Signup and view all the answers

What is the formula for calculating the mean?

Sum of all values / Number of values (A) Signup and view all the answers

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

Mode (C) Signup and view all the answers

What is the purpose of summarizing data?

To simplify the analysis process (D) Signup and view all the answers

What is the range of a dataset?

The difference between the highest and lowest values (C) Signup and view all the answers

What is the purpose of using frequency tables in organizing data?

To count the frequency of each item (A) Signup and view all the answers

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

Sum of frequencies (B) Signup and view all the answers

What is the primary purpose of representing data graphically?

To make the data easier to understand and interpret (A) Signup and view all the answers

What is the primary purpose of a pie chart?

To compare parts of a whole (C) Signup and view all the answers

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

The adjacency of the bars (C) Signup and view all the answers

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

Highest Value - Lowest Value (D) Signup and view all the answers

What is the purpose of analyzing data?

To identify trends and patterns (A) Signup and view all the answers

What is the definition of a median?

The middle value in a set of ordered data (C) Signup and view all the answers

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

To detail what items or services were purchased (A) Signup and view all the answers

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

Line graph (C) Signup and view all the answers

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

To identify trends and patterns (D) Signup and view all the answers

What is the term for the amount of money owed?

Debt (A) Signup and view all the answers

What is the purpose of using a line graph?

To show changes over time (A) Signup and view all the answers

What is the purpose of a tariff system?

To determine the cost of goods and services (D) Signup and view all the answers

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

A tax added to the cost of goods and services (A) Signup and view all the answers

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

Credit limit is the maximum amount allowed, while credit available is the amount still available for use (B) Signup and view all the answers

What is the formula for calculating municipal costs?

Total Cost = Σ(Usage in Category x Tariff for Category) (B) Signup and view all the answers

What is the purpose of a till slip?

To provide a detailed breakdown of purchased items, including prices and VAT (D) Signup and view all the answers

What is the formula for calculating telephone costs?

Total Cost = Basic Fixed Charge + (Rate per Second x Duration in Seconds) (B) Signup and view all the answers

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

Municipal Tariffs (C) Signup and view all the answers

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

100% (A) Signup and view all the answers

What is the main difference between a salary and a wage?

A salary is paid for work done over a longer period, while a wage is paid for work done in a shorter period (D) Signup and view all the answers

What is the purpose of a transport tariff?

To charge per unit distance, with varying costs based on the mode of transport (C) Signup and view all the answers

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

To understand the probability of rain (C) Signup and view all the answers

What is the purpose of a shop account?

To allow purchases on credit, with monthly payments made against the outstanding balance (D) Signup and view all the answers

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

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

What is the purpose of using a tree diagram?

To display the outcomes of a compound event (A) Signup and view all the answers

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

P(not E) = 1 - P(E) (B) Signup and view all the answers

What is the difference between income and expenditure called?

Surplus (C), Deficit (D) Signup and view all the answers

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

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

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

Relative Frequency (C) Signup and view all the answers

What is the term for the amount of money owed?

Debt (A) Signup and view all the answers

What is the purpose of a budget?

To plan and balance expenditure with income (C) Signup and view all the answers

What type of income is regular and unchanging?

Fixed Income (C) Signup and view all the answers

What is the formula for calculating monthly savings?

Total Income - (Total Fixed Expenses + Total Variable Expenses + Total Occasional Expenses) (C) Signup and view all the answers

What is the purpose of saving?

To prepare for unexpected costs and important events (C) Signup and view all the answers

What is a study loan?

A loan granted to students to assist with financial matters during their study period (A) Signup and view all the answers

What is the difference between a budget and a statement?

A budget is a plan for future income and expenses, while a statement is a record of actual income and expenses (B) Signup and view all the answers

What is interest?

A fee paid for borrowing money (A) Signup and view all the answers

What is the interest rate?

A percentage charged for borrowing or loan of a sum of money over a given period of time (D) Signup and view all the answers

What is the formula to calculate the interest amount?

Interest Amount = Principal Amount × Interest Rate (B) Signup and view all the answers

What is the VAT rate in South Africa?

14% (D) Signup and view all the answers

What is the purpose of VAT?

To tax the provision of goods and services (B) Signup and view all the answers

What type of bank account earns interest?

Savings Account (C) Signup and view all the answers

What is the purpose of a Fixed Deposit Account?

To earn interest on a lump sum over a set period of time (A) Signup and view all the answers

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

VAT-inclusive price is the price after VAT, while VAT-exclusive price is the price before VAT (D) Signup and view all the answers

What is the formula to calculate the VAT amount?

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

What type of bank account usually has an overdraft facility?

Cheque or Current Account (D) Signup and view all the answers

What is the purpose of exempting certain items from VAT?

To reduce the price of essential goods (B) Signup and view all the answers

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

To comply with FICA regulations (C) Signup and view all the answers

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

A debit transaction is a withdrawal, while a credit transaction is a deposit (A) Signup and view all the answers

What is the range of a probability scale?

0 to 1 (D) Signup and view all the answers

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

Frequency (D) Signup and view all the answers

What is the purpose of a tree diagram in probability?

To show all possible outcomes of an event (C) Signup and view all the answers

What is the formula for calculating total bank fees?

Monthly Maintenance Fee + Self-Service Banking Fee + Cash Deposit Fee + Withdrawal Fee + Balance Inquiry Fee (B) Signup and view all the answers

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

Event (A) Signup and view all the answers

What is the purpose of reducing transaction fees in banking?

To reduce the account holder's costs (A) Signup and view all the answers

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

Theoretical Probability (C) Signup and view all the answers

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

To describe the likelihood of an event (C) Signup and view all the answers

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

To separate whole numbers from decimal fractions (C) Signup and view all the answers

What type of number is used to represent financial values?

Money Amounts (B) Signup and view all the answers

What is the benefit of using a place value table?

To determine the value of each digit (B) Signup and view all the answers

How do you order numbers in a correct sequence?

By comparing the numbers from left to right (C) Signup and view all the answers

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

To make the numbers easier to read (D) Signup and view all the answers

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

Measurements (A) Signup and view all the answers

How do you write a whole number in words?

By reading and writing each group separately (A) Signup and view all the answers

What is the purpose of using codes in number representation?

To identify specific objects or items (A) Signup and view all the answers

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

To make the calculation easier (B) Signup and view all the answers

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

Changing from a positive to a negative number (A) Signup and view all the answers

What is the result of multiplying a number by 1000?

Shifting each digit three places to the right (D) Signup and view all the answers

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

Mixed number (D) Signup and view all the answers

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

To make the calculation easier (A) Signup and view all the answers

What is the purpose of estimating answers to calculations?

To check the accuracy of the answer (D) Signup and view all the answers

What happens when you multiply a number by 10?

Each digit shifts to the left by the number of zeros in the multiplier (C) Signup and view all the answers

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

Zero (C) Signup and view all the answers

What is the definition of a ratio?

A comparison of two or more numbers of the same type (D) Signup and view all the answers

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

To follow the order of operations (A) Signup and view all the answers

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

To get a more comprehensive understanding of the topic (D) Signup and view all the answers

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

Comparing proportions (C) Signup and view all the answers

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

Zero (C) Signup and view all the answers

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

To understand the size of the number (D) Signup and view all the answers

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

1 (D) Signup and view all the answers

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

Numbers with units digits 1-4 round down, 5-9 round up (D) Signup and view all the answers

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

To get quantitative data (B) Signup and view all the answers

What is the formula for calculating a percentage?

(Fraction × 100) / Amount (A) Signup and view all the answers

What is the primary purpose of classifying data?

To make it easier to understand (A) Signup and view all the answers

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

To measure the intensity of opinions or attitudes (B) Signup and view all the answers

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

To collect both quantitative and qualitative data (A) Signup and view all the answers

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

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

What is the main purpose of developing a good questionnaire?

To ensure the information collected is valid and accurate (D) Signup and view all the answers

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

Closed-ended question (C) Signup and view all the answers

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

To measure the respondent's opinion or attitude (B) Signup and view all the answers

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

It does not require direct contact with respondents (C) Signup and view all the answers

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

Population (C) Signup and view all the answers

What is the primary goal of summarizing data?

To identify patterns and trends in the data (D) Signup and view all the answers

What is the main purpose of classifying data?

To make the data more organized (B) 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?

Database (B) Signup and view all the answers

What is the primary purpose of classifying data?

To organize data into catogories (D) Signup and view all the answers

Which of the following is an example of continuous data?

The height of a person (A) Signup and view all the answers

What is the purpose of using frequency tables?

To show the list of categories or groups of items, along with the number of times each item occurs (C) Signup and view all the answers

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

Sum of all values / Number of values (D) Signup and view all the answers

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

Mode (B) Signup and view all the answers

What is the purpose of summarizing data?

To simplify the analysis process (A) Signup and view all the answers

What is the range of a dataset?

The highest value minus the lowest value (A) Signup and view all the answers

What is the purpose of using tallies in data organization?

To count how many of each group there are (C) Signup and view all the answers

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

Median (D) Signup and view all the answers

What is the purpose of representing data graphically?

To analyze and interpret data more easily (C) Signup and view all the answers

What is the interest rate?

A percentage charged for the borrowing or loan of a sum of money over a given period of time (D) Signup and view all the answers

What determines the interest rate that a person is charged?

All of the above, including credit ratings, employment history, and ownership of assets like a home (C) Signup and view all the answers

How do you calculate the interest amount?

Interest Amount = Principal Amount × Interest Rate (D) Signup and view all the answers

What is VAT?

A type of tax paid by the consumer when buying goods and services (D) Signup and view all the answers

What is a VAT-exempt item?

An item that does not have VAT added to the price (B) Signup and view all the answers

What is a fixed deposit account?

A bank account used for long-term investments (D) Signup and view all the answers

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

Proof of residence or identity document (C) Signup and view all the answers

What is a credit account?

A bank account used for making purchases and paying later (B) Signup and view all the answers

What information does a bank statement show for each transaction?

Date and description of transaction, amount and balance after each transaction (D) Signup and view all the answers

What is a debit account?

A bank account used for making purchases and paying immediately (B) Signup and view all the answers

What is a debit transaction?

Amount of money paid out of an account (A) Signup and view all the answers

What is the purpose of a bank fee calculation?

To determine the total bank fees charged (D) Signup and view all the answers

What is the purpose of VAT?

To generate revenue for the government (A) Signup and view all the answers

What is a fair game in probability?

A game with an equal chance of winning or losing (C) Signup and view all the answers

What is the VAT rate in South Africa?

14% (D) Signup and view all the answers

What is the range of a probability scale?

0 to 1 (C) Signup and view all the answers

What is the purpose of a tree diagram in probability?

To show all possible outcomes of an event (C) Signup and view all the answers

What is the purpose of creating a tree diagram?

To show all possible outcomes of an event or series of events (D) Signup and view all the answers

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

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

What is the difference between theoretical probability and relative frequency?

Theoretical probability is the calculated probability, while relative frequency is the actual result (A) Signup and view all the answers

What is an event in probability?

A collection of one or more outcomes (D) Signup and view all the answers

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

Two-way table (B) Signup and view all the answers

What is the purpose of using weather predictions?

To make decisions based on past weather data (A) Signup and view all the answers

What is the purpose of using a probability scale?

To describe the likelihood of an event occurring (C) Signup and view all the answers

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

P(not E) = 1 - P(E) (B) 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?

Relative frequency (A) Signup and view all the answers

What is the primary purpose of a pie chart?

To compare parts of a whole (D) Signup and view all the answers

What does the median represent in a dataset?

The middle value (A) Signup and view all the answers

What is the primary purpose of a histogram?

To display continuous data (A) Signup and view all the answers

What is the range of a dataset?

The highest value minus the lowest value (C) Signup and view all the answers

What is the purpose of a line graph?

To show changes over time and relationships between two quantities (C) Signup and view all the answers

What is the mode of a dataset?

The value that appears most frequently (C) Signup and view all the answers

What is the purpose of a bar graph?

To display data that can be compared across different categories (C) Signup and view all the answers

What is the primary purpose of analyzing data?

To make decisions based on the information (C) Signup and view all the answers

What is the formula for calculating the mean?

Sum of values / Number of values (C) Signup and view all the answers

What is the primary purpose of financial documents such as municipal bills and telephone bills?

To detail purchased items or services, their costs, and any outstanding amounts to be paid (B) Signup and view all the answers

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

To add a fixed extra cost to the cost of most items and services (D) Signup and view all the answers

What is the purpose of a till slip?

To provide details of purchased items, including their prices, and any VAT charged (B) Signup and view all the answers

What is the credit available?

The amount of credit still available for use (D) Signup and view all the answers

What is the purpose of a tariff system?

To determine the cost of services based on usage (D) Signup and view all the answers

What is the formula for calculating municipal costs?

Total Cost = ∑ (Usage in Category × Tariff for Category) (A) Signup and view all the answers

What is the purpose of a telephone tariff?

To charge based on call duration and distance (A) Signup and view all the answers

What is the purpose of an account statement?

To detail purchases, payments made, and amounts owed (C) Signup and view all the answers

What is the purpose of a transport tariff?

To charge based on distance and mode of transport (C) Signup and view all the answers

What is income?

Any money earned by individuals (D) Signup and view all the answers

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

To calculate the cost of a telephone call (B) Signup and view all the answers

What is the formula for calculating profit?

Profit = Total Income - Cost of Production (A) Signup and view all the answers

What is a budget?

A plan to balance income and expenditure (B) Signup and view all the answers

What is the difference between a budget and a statement?

A budget is a plan, and a statement is a record (D) Signup and view all the answers

What is the purpose of saving?

To prepare for unexpected costs and annual bills (D) Signup and view all the answers

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

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

What is a surplus?

Income exceeds expenditure (A) Signup and view all the answers

What is fixed income?

Regular and unchanging income (D) Signup and view all the answers

What is debt?

The amount of money owed (C) Signup and view all the answers

What is the formula for calculating monthly savings?

Monthly Savings = Total Income - (Total Fixed Expenses + Total Variable Expenses + Total Occasional Expenses) (C) Signup and view all the answers

What is interest?

A percentage of the amount owed or borrowed (C) Signup and view all the answers

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

To convey specific information about the type of data (C) Signup and view all the answers

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

A person's height (D) Signup and view all the answers

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

It helps to identify the value of each digit (D) Signup and view all the answers

What is the purpose of using percentages in number representation?

To represent rates or proportions (D) Signup and view all the answers

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

The decimal comma is used in South Africa, while the decimal point is used in other countries (A) Signup and view all the answers

What is the purpose of using codes in number representation?

To represent identification numbers (D) Signup and view all the answers

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

It makes the number easier to read and understand (A) Signup and view all the answers

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

To indicate positions or ranks (C) Signup and view all the answers

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

To collect both quantitative and qualitative data (A) Signup and view all the answers

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

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

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

To measure the respondent's opinion or attitude (B) Signup and view all the answers

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

It is less invasive than other methods (A) Signup and view all the answers

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

Population (C) Signup and view all the answers

What is the primary goal of developing a good questionnaire?

To ensure the data collected is valid and accurate (C) Signup and view all the answers

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

Response Score = Σ(R_i) (D) Signup and view all the answers

What is the purpose of using databases in data collection?

To use existing information (D) Signup and view all the answers

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

It allows respondents to answer in their own words (C) 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?

Database (C) Signup and view all the answers

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

To ensure that calculations are performed in a specific order (C) Signup and view all the answers

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

A fraction with a numerator of 1 (B) Signup and view all the answers

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

Categorical data cannot be measured numerically, while numerical data can be measured using numbers. (B) Signup and view all the answers

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

To make it easier to manage large datasets by grouping them into specific ranges. (D) Signup and view all the answers

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

To simplify the calculation and make it easier to perform (B) Signup and view all the answers

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

A proper fraction has a numerator smaller than the denominator, while an improper fraction has a numerator larger than the denominator (A) Signup and view all the answers

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

Mean = (Sum of all values) / (Number of values) (A) Signup and view all the answers

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

Zero (A) Signup and view all the answers

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

The median is the average of the two middle values. (B) Signup and view all the answers

What is the mode of a dataset?

The mode is the value that appears most frequently in a dataset. (B) Signup and view all the answers

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

To store and recall numbers for later use (B) Signup and view all the answers

What is the range of a dataset?

The range is the highest value minus the lowest value. (D) Signup and view all the answers

What is the result of multiplying a number by 1000?

The number is shifted three places to the left (C) Signup and view all the answers

What is the purpose of summarizing data?

To make it easier to analyze the data. (C) Signup and view all the answers

What is the purpose of converting fractions to decimal fractions?

To simplify the representation of fractions (D) Signup and view all the answers

What is the modal class in a grouped dataset?

The modal class is the group with the highest frequency. (D) Signup and view all the answers

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

To separate whole numbers from decimal fractions (B) Signup and view all the answers

What is the purpose of representing data graphically?

To make it easier to communicate the results to others. (D) Signup and view all the answers

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

The original fraction (B) Signup and view all the answers

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

Numerical data (D) Signup and view all the answers

What is the primary purpose of estimating answers to calculations?

To check the reasonableness of exact answers (C) Signup and view all the answers

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

To the left by one place (C) Signup and view all the answers

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

Always zero (C) Signup and view all the answers

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

To compare two or more numbers of the same type (A) Signup and view all the answers

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

To obtain straightforward, quantitative data (B) Signup and view all the answers

What is the formula for calculating a percentage?

Percentage = (part/whole) × 100 (A) Signup and view all the answers

What is the primary purpose of classifying data?

To organize data into groups or categories (B) Signup and view all the answers

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

To measure the strength of respondents' opinions (D) Signup and view all the answers

What is the primary purpose of representing data graphically?

To display data in a visually appealing way (A) 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?

Database (D) Signup and view all the answers

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

To represent continuous data grouped into intervals (C) Signup and view all the answers

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

Mean (D) Signup and view all the answers

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

To identify trends and patterns in the data (D) Signup and view all the answers

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

Line graph (A) Signup and view all the answers

What is the purpose of using tariffs in financial documents?

To calculate the cost of a service using a given rate (A) Signup and view all the answers

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

Median (A) Signup and view all the answers

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

To determine the amount of money owed for utilities (B) Signup and view all the answers

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

Highest value - Lowest value (A) Signup and view all the answers

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

To show the relationship between two quantities over time (A) Signup and view all the answers

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

Mode (C) Signup and view all the answers

What is the primary purpose of a tariff system?

To calculate the cost of services based on usage (C) Signup and view all the answers

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

Income (C) Signup and view all the answers

What is the difference between a budget and a statement?

A budget is a plan for future income and expenses, while a statement is a record of past income and expenses. (D) Signup and view all the answers

What is the formula used to calculate municipal costs?

Total Cost = ∑ (Usage in Category × Tariff for Category) (B) Signup and view all the answers

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

To calculate the amount to spend on each category. (C) Signup and view all the answers

What is the purpose of a till slip?

To provide details of purchased items, including their prices, and any VAT charged (B) Signup and view all the answers

What is the formula for calculating the surplus?

Surplus = Income - Expenditure (A) Signup and view all the answers

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

Credit limit (A) Signup and view all the answers

What is the term for the amount of money owed?

Debt (A) Signup and view all the answers

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

To increase available funds for savings (D) Signup and view all the answers

What is the formula used to calculate telephone costs?

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

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

Opening balance (D) Signup and view all the answers

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

Gifts and Pocket Money (C) Signup and view all the answers

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

To prepare for unexpected costs (D) Signup and view all the answers

What is the purpose of a tariff?

To schedule prices for services such as transportation and utilities (A) Signup and view all the answers

What is the formula for calculating the deficit?

Deficit = Expenditure - Income (A) Signup and view all the answers

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

Closing balance (B) Signup and view all the answers

What is the purpose of a store account?

To allow purchases on credit with monthly payments made against the outstanding balance (D) 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?

Study Loan (B) Signup and view all the answers

What is the purpose of budgeting for savings?

To prepare for unexpected costs and important events (A) Signup and view all the answers

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

Identity document or passport (D) 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?

Opening and closing balance (D) Signup and view all the answers

What is the formula for calculating the total bank fees?

Monthly maintenance fee + self-service banking fee + cash deposit fee + withdrawal fee + balance inquiry fee + other transaction fees (B) Signup and view all the answers

What is the probability of an event if it occurs 30 times out of 50 trials?

40% (D) Signup and view all the answers

A tree diagram is used to represent:

All possible outcomes of a combined event (D) Signup and view all the answers

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

1 (D) Signup and view all the answers

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

Unfair game (B) Signup and view all the answers

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

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

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

Event (B) Signup and view all the answers

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

To show the outcomes of a combined event (B) Signup and view all the answers

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

P(not E) = 1 - P(E) (A) Signup and view all the answers

What is the purpose of using tree diagrams?

To show all possible outcomes of an event (D) Signup and view all the answers

What is the purpose of using relative frequency in probability?

To show the long-term behaviour of an event (A) Signup and view all the answers

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

Frequency (C) Signup and view all the answers

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

Expected value (C) Signup and view all the answers

What is the purpose of using probability theory?

To make predictions about the likelihood of an event (C) Signup and view all the answers

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

The credit rating of the borrower (C) Signup and view all the answers

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

Total Amount = Principal Amount + (Principal Amount × Interest Rate) (C) Signup and view all the answers

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

14% (D) Signup and view all the answers

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

Savings Account (D) Signup and view all the answers

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

To generate revenue for the government (C) Signup and view all the answers

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

Interest Amount (C) Signup and view all the answers

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

To avoid paying VAT twice (B) 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?

Fixed Deposit Account (A) Signup and view all the answers

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

Interest Rate = (Interest Amount ÷ Original Amount) × 100 (B) Signup and view all the answers

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

VAT Inclusive (D) Signup and view all the answers

Gr10 Math Lit: November test mix P(1)

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Podcast

Questions and Answers

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

What type of number is used to represent exact counts?

What is the purpose of using a place value table?

How do you read and write large numbers?

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

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

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

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

What is the purpose of estimating answers to calculations?

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

What is the order of operations in calculations?

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

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

How do you write a whole number in words?

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

How do you arrange numbers in order?

What is a proper fraction?

What is the result of multiplying a number by 10?

What is the purpose of estimating in mathematics?

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

What is the result of multiplying a number by 10?

What is the definition of a proper fraction?

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

What is the definition of a negative number?

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

What is the definition of a ratio?

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

What is the formula for calculating a percentage?

What is the main purpose of classifying data?

What type of data can be measured using numbers?

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

What is the purpose of using tallies in organizing data?

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

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

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

What is the main purpose of summarizing data?

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

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

What is the formula for avoiding sample bias?

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

What is the primary goal of developing a good questionnaire?

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

What is the range of a dataset?

What is the purpose of representing data graphically?

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

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

What is the modal class in a grouped dataset?

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

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

What is the formula for calculating the mean?

What is the purpose of a line graph?

What is the range of a data set?

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

What is the purpose of a histogram?

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

What is the purpose of a bar graph?

What is the mode of a data set?

What is the purpose of a municipal bill?

What is the formula to calculate profit?

What is the difference between income and expenditure called?

What type of income is regular and unchanging?

What is the purpose of a budget?

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

What is the importance of saving?

What is the formula to calculate monthly savings?

What is the difference between a budget and a statement?

What is interest?

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

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

What is the difference between Opening Balance and Closing Balance?

What is the purpose of a till slip?

What is the difference between Credit Available and Credit Limit?

What is a tariff?

What is the purpose of a Municipal Tariff?

What is the formula for calculating municipal costs?

What is the purpose of a Telephone Tariff?