Gr10 Math Lit: June test hard P(1)
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Questions and Answers

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

  • To represent percentages
  • To separate groups of four digits
  • To indicate the presence of a decimal fraction
  • To separate whole numbers from decimal fractions (correct)

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

  • Order number
  • Counting number (correct)
  • Measurement
  • Money amount

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

  • To read and write large numbers
  • To compare numbers column by column
  • To identify the value of each digit (correct)
  • To separate numbers into groups of three digits

    • What is the alternative to using a decimal comma in number representation?

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

    What is the first step in reading and writing large numbers?

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

    What type of number is used to represent financial values?

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

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

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

    What is the last step in arranging numbers in order?

    <p>Arrange the numbers accordingly</p> Signup and view all the answers

    What is the primary purpose of estimating answers to calculations?

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

    What does the memory key MRC do on a basic calculator?

    <p>Displays the number stored in memory</p> Signup and view all the answers

    What is the correct order of operations when performing calculations?

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

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

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

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

    <p>To understand the size of the numbers</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 the result of multiplying a number by 10?

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

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

    <p>Convert the decimal to a fraction with a denominator of 10, 100, 1000, etc.</p> Signup and view all the answers

    What is the purpose of grouping numbers when performing multiplication and addition?

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

    What is the main purpose of estimating in mathematics?

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

    What is the correct order of operations when using BODMAS?

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

    What is the result of multiplying 45 by 1000?

    <p>4,500,000</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 result of converting the fraction 3/4 to a decimal fraction?

    <p>0.75</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>Fraction × given amount</p> Signup and view all the answers

    What is the convention for writing numbers in South Africa?

    <p>Using a decimal comma and spaces to separate groups of three digits</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 function of the 'M+' key on a basic calculator?

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

    What is the order of operations in calculations, often remembered by the acronym?

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

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

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

    What is the purpose of separating numbers into groups of three digits when reading and writing large numbers?

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

    What is the format of decimal fraction representation in South Africa?

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

    How do you multiply a number by 100?

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

    What is the purpose of a place value table?

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

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

    <p>One</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 primary purpose of using a decimal comma in number representation in South Africa?

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

    What is the correct way to read and write a large whole number in words?

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

    What is the correct order of operations when using brackets and mathematical operations?

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

    What is the result of multiplying a number by 1000?

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

    What is the definition of an improper fraction?

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

    What is the primary purpose of understanding financial documents and tariff systems?

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

    What is the result of converting a decimal fraction to a common fraction with a denominator of 10?

    <p>The numerator is the decimal value multiplied by 10</p> Signup and view all the answers

    What is the definition of a bill?

    <p>A document detailing purchased items or services, the amount paid, or the amount due</p> Signup and view all the answers

    What is the difference between a credit and a debit?

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

    What is the definition of a rate?

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

    What is the purpose of a municipal bill?

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

    What is the formula to calculate a percentage value?

    <p>Percentage value = (percentage / 100) x amount</p> Signup and view all the answers

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

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

    What is the result of applying a 25% discount to a price of $100?

    <p>The price is reduced by $25</p> Signup and view all the answers

    What is the purpose of a telephone bill?

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

    What is the 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 purpose of a till slip?

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

    What is the purpose of an account statement?

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

    What is a tariff?

    <p>A pre-determined schedule of prices for services</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 type of probability is calculated based on the actual result of an experiment?

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

    What is the purpose of a tree diagram in probability?

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

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

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

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

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

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

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

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

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

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

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

    What is the purpose of weather predictions in probability?

    <p>To predict the probability of rain based on past weather data</p> Signup and view all the answers

    What is the formula for calculating telephone costs?

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

    What is the main purpose of using a place value table when comparing large numbers?

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

    Which of the following types of numbers is used to represent rates?

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

    What is the correct way to arrange numbers in order when using a place value table?

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

    What is the purpose of using codes in number representation?

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

    What is the convention for writing numbers in South Africa?

    <p>Using a decimal comma to separate whole numbers from decimal fractions</p> Signup and view all the answers

    What is the purpose of using a place value table when reading and writing large numbers?

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

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

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

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

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

    What is the result of multiplying 2/3 by its reciprocal?

    <p>3/2</p> Signup and view all the answers

    When multiplying a number by 1000, what happens to the digits of the number?

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

    What is the purpose of grouping numbers when performing multiplication and addition?

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

    What is the result of adding 5 and its opposite?

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

    When converting a decimal fraction to a common fraction, what is the denominator?

    <p>10, 100, 1000, etc.</p> Signup and view all the answers

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

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

    What is the result of multiplying 2/5 by 3/4?

    <p>6/20</p> Signup and view all the answers

    What is the definition of a mixed number?

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

    What is the purpose of using brackets in calculations?

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

    What is the result of converting the fraction 2/3 to a decimal fraction?

    <p>0.6</p> Signup and view all the answers

    What is the result of multiplying a number by 10, then shifting each digit to the left by the number of zeros in the multiplier?

    <p>A number 10 times larger</p> Signup and view all the answers

    When adding or subtracting fractions, what is the first step?

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

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

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

    What happens when you multiply a number by its opposite?

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

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

    <p>To separate the whole number from the decimal fraction</p> Signup and view all the answers

    When dividing a fraction by another fraction, what operation do you perform?

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

    What is the purpose of using a ratio?

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

    What happens when you multiply a number by -1?

    <p>The number becomes negative</p> Signup and view all the answers

    What is the purpose of using a percentage?

    <p>To indicate a rate or proportion</p> Signup and view all the answers

    When converting a decimal fraction to a common fraction, what is the denominator of the common fraction?

    <p>10, 100, or 1000</p> Signup and view all the answers

    What is the purpose of using a place value table when identifying the value of each digit in a large number?

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

    What is the result of multiplying a number by 100?

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

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

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

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

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

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

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

    What is the correct order of operations when using brackets and mathematical operations?

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

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

    <p>To indicate the start of the fractional part</p> Signup and view all the answers

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

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

    What is the purpose of using a convention in number representation?

    <p>To provide a standard way of doing something</p> Signup and view all the answers

    What is the result of converting a decimal fraction to a common fraction with a denominator of 100?

    <p>A proper fraction</p> Signup and view all the answers

    What is the main difference between a municipal bill and a telephone bill?

    <p>The type of services provided</p> Signup and view all the answers

    What is the purpose of the 'Easy Pay' payment number on a municipal bill?

    <p>To pay at a specific bank</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 a tariff system?

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

    What is the term for the amount of credit still available for use on a store account?

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

    What is the purpose of a shop's VAT number on a till slip?

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

    What is the term for the amount owed on a municipal bill before the current month's expenses?

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

    What is the purpose of the invoice number on a municipal bill?

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

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

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

    What is the primary purpose of using a place value table when comparing large numbers?

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

    What is the purpose of a tariff in a tariff system?

    <p>To determine the fixed rate of payment</p> Signup and view all the answers

    What is the result of multiplying a mixed number by its reciprocal?

    <p>A proper fraction</p> Signup and view all the answers

    What is the correct way to convert a decimal fraction to a common fraction with a denominator of 100?

    <p>Multiply the numerator by 100 and the denominator by 1</p> Signup and view all the answers

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

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

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

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

    What is the purpose of using a place value table when reading and writing large numbers?

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

    What is the correct way to read and write a large whole number in words?

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

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

    <p>To separate the whole number from the decimal fraction</p> Signup and view all the answers

    What is the result of multiplying a number by 10, 100, and 1000?

    <p>The number is shifted to the left by the number of zeros</p> Signup and view all the answers

    What is the primary purpose of using a calculator in mathematics?

    <p>To perform basic operations and memory functions</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 probability of an event, given that it is certain to occur?

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

    What is the purpose of using a tree diagram in probability?

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

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

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

    What is the purpose of weather predictions?

    <p>To analyse past weather data to make predictions</p> Signup and view all the answers

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

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

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

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

    What is the term for the result of an experiment?

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

    What is the formula for calculating 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 primary purpose of using a decimal comma in number representation in South Africa?

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

    What is the purpose of separating numbers into groups of three digits when reading and writing large numbers?

    <p>To make the number easier to read</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 correct way to read and write a large whole number in words?

    <p>Separate the number into groups of three digits</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 format of decimal fraction representation in South Africa?

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

    What type of number is used to represent rates?

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

    What is the primary purpose of using codes?

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

    What is the result of multiplying 2.5 by 1000?

    <p>2500</p> Signup and view all the answers

    What is the simplified ratio of 12:18?

    <p>2:3</p> Signup and view all the answers

    What is the value of x in the proportion 2:5 = x:15?

    <p>6</p> Signup and view all the answers

    What is the result of converting the improper fraction 3/2 to a mixed number?

    <p>1 1/2</p> Signup and view all the answers

    What is the result of rounding 47 to the nearest 10?

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

    What is the result of adding 5 and its opposite?

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

    What is the result of multiplying 0.5 by 10?

    <p>5</p> Signup and view all the answers

    When adding or subtracting fractions, what is the first step?

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

    What is the purpose of estimating answers to calculations?

    <p>To check if the answer is reasonable</p> Signup and view all the answers

    What is the result of converting the decimal fraction 0.8 to a common fraction?

    <p>4/5</p> Signup and view all the answers

    What is the result of dividing 12 by 3/4?

    <p>16</p> Signup and view all the answers

    What is the result of multiplying a number by 1000?

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

    What is the definition of a mixed number?

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

    What is the result of calculating 25% of 120?

    <p>30</p> Signup and view all the answers

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

    <p>To store a number temporarily</p> Signup and view all the answers

    What is the order of operations when performing calculations with brackets and mathematical operations?

    <p>B - O - DM - AS</p> Signup and view all the answers

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

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

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

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

    What is the convention for writing numbers in South Africa?

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

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

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

    What is the purpose of separating numbers into groups of three digits when reading and writing large numbers?

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

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

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

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

    <p>To separate the whole number part from the fractional part</p> Signup and view all the answers

    What is the primary purpose of using a calculator?

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

    What is the purpose of using the order of operations (BODMAS) when performing calculations?

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

    What is the purpose of using a ratio?

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

    What is the purpose of using a rate?

    <p>To compare two numbers with different units</p> Signup and view all the answers

    What is the correct way to compare the values of two large numbers using place value tables?

    <p>Compare the digits starting from the leftmost column and moving right.</p> Signup and view all the answers

    What is the purpose of using a percentage?

    <p>To represent a part of a whole as a fraction of 100</p> Signup and view all the answers

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

    <p>To separate the whole number part from the fraction part.</p> Signup and view all the answers

    What is the purpose of using a decimal fraction?

    <p>To represent a part of a whole as a decimal value</p> Signup and view all the answers

    What is the result of multiplying a number by 10,000?

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

    What is the primary purpose of using positive and negative numbers?

    <p>To represent values above or below zero</p> Signup and view all the answers

    What is the correct way to multiply two fractions?

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

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

    <p>To change the sign of a number from positive to negative.</p> Signup and view all the answers

    What is the correct way to convert a decimal fraction to a common fraction with a denominator of 100?

    <p>Write the decimal fraction as a fraction with a denominator of 10 and then multiply by 10.</p> Signup and view all the answers

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

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

    What is the purpose of using a place value table when reading and writing large numbers?

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

    What is the correct way to divide a fraction by another fraction?

    <p>Divide the numerators and multiply the denominators.</p> Signup and view all the answers

    What is the definition of a ratio?

    <p>A comparison of two quantities with the same units.</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 probability of an event if it has occurred 40 times out of 100 trials?

    <p>0.4</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 formula for the complement of an event?

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

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

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

    What is the purpose of a two-way table?

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

    What is the formula for 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 definition of a fair game?

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

    What is the purpose of weather predictions?

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

    What is the formula for calculating 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 main difference between a municipal bill and a telephone bill?

    <p>Municipal bills detail charges for utilities, whereas telephone bills detail charges for phone usage.</p> Signup and view all the answers

    What does the opening balance on a municipal bill represent?

    <p>The amount due on the account before the current month's expenses.</p> Signup and view all the answers

    What is the primary purpose of a tariff system?

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

    What is the difference between a credit and a debit?

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

    What is the purpose of the Easy Pay payment number on a municipal bill?

    <p>To make a payment at a specific bank.</p> Signup and view all the answers

    What is the VAT rate in South Africa?

    <p>15%</p> Signup and view all the answers

    What is the purpose of a till slip?

    <p>To detail purchases made and the total amount paid.</p> Signup and view all the answers

    What is the definition of a tariff?

    <p>A pre-determined schedule of prices for services such as transportation and utilities.</p> Signup and view all the answers

    What is the purpose of a municipal bill?

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

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

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

    What is the primary purpose of using a place value table when comparing large numbers?

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

    What is the correct way to write the number 1,000,000 in South Africa?

    <p>1 000 000.00</p> Signup and view all the answers

    What is the purpose of using codes in various contexts?

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

    What is the correct order of steps when arranging numbers in order?

    <p>Create a place value table, write the numbers in the table, compare the numbers column by column from left to right, and arrange the numbers accordingly.</p> Signup and view all the answers

    What is the purpose of using percentages in various contexts?

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

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

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

    What is the purpose of using whole numbers in words?

    <p>To provide an alternative way of representing large numbers.</p> Signup and view all the answers

    What is the purpose of separating numbers into groups of three digits when reading and writing large numbers?

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

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

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

    Which of the following is a common mistake when adding or subtracting fractions?

    <p>Performing the operation before converting to a common denominator</p> Signup and view all the answers

    What is the result of multiplying a number by -1?

    <p>The number becomes negative</p> Signup and view all the answers

    What is the purpose of using brackets in calculations?

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

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

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

    What is the result of multiplying $3 rac{1}{2}$ by 10?

    <p>35.5</p> Signup and view all the answers

    What is the value of $x$ in the proportion $rac{3}{4} = rac{9}{x}$?

    <p>12</p> Signup and view all the answers

    What is the purpose of estimating answers to calculations?

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

    What is the result of multiplying a number by 0.1?

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

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

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

    What is the result of dividing $-3 rac{1}{4}$ by $-1 rac{1}{2}$?

    <p>2.25</p> Signup and view all the answers

    What is the value of $x$ in the equation $2x + 5 = 11$?

    <p>3</p> Signup and view all the answers

    What is the result of converting a mixed number to an improper fraction?

    <p>The numerator becomes larger than the denominator</p> Signup and view all the answers

    What is the purpose of using the 'M-' key on a basic calculator?

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

    A car travels 250 km in 5 hours. What is the unit rate of the car's speed?

    <p>50 km/h</p> Signup and view all the answers

    What is the result of converting $3.75$ to a common fraction?

    <p>3 3/4</p> Signup and view all the answers

    What is the result of adding $2 rac{1}{3}$ and $3 rac{3}{4}$?

    <p>5 7/12</p> Signup and view all the answers

    What is the result of rounding 47.8 to the nearest 10?

    <p>50</p> Signup and view all the answers

    What is the result of multiplying $2.5$ by 1000?

    <p>2500</p> Signup and view all the answers

    What is the primary purpose of using a place value table when comparing large numbers?

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

    Which of the following is a correct step in ordering numbers?

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

    What is the purpose of using the 'M-' key on a basic calculator?

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

    What is the result of multiplying a number by 1000?

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

    What is the primary purpose of using a decimal fraction?

    <p>To represent fractions with denominators of powers of ten</p> Signup and view all the answers

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

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

    What is the purpose of using a convention in number representation?

    <p>To follow a standard way of doing something</p> Signup and view all the answers

    What is the correct order of operations when performing calculations involving brackets and mathematical operations?

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

    What is the result of converting a decimal fraction to a common fraction with a denominator of 10?

    <p>A proper fraction</p> Signup and view all the answers

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

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

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

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

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

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

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

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

    What is the definition of a unit rate?

    <p>A rate that is used to calculate the cost per unit</p> Signup and view all the answers

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

    <p>To compare the proportions of different quantities</p> Signup and view all the answers

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

    <p>A decimal value</p> Signup and view all the answers

    What is the purpose of using the order of operations (BODMAS) in calculations?

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

    What is the result of multiplying a number by 10, then shifting the decimal point to the right by one place?

    <p>The number is multiplied by 100</p> Signup and view all the answers

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

    <p>To compare the proportions of different quantities</p> Signup and view all the answers

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

    <p>The result is always 0</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 probability of an event that is certain to occur?

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

    What is the primary purpose of a municipal bill?

    <p>To provide a detailed breakdown of the services used by the household</p> Signup and view all the answers

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

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

    What is the difference between a credit and a debit?

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

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

    <p>To provide a fixed extra cost added to the price of goods and services</p> Signup and view all the answers

    What is the purpose of using a tree diagram in probability?

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

    What is the formula for calculating 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 primary purpose of a tariff system?

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

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

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

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

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

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

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

    What is the purpose of an invoice number on a municipal bill?

    <p>To serve as a unique identifier for the bill</p> Signup and view all the answers

    What is the purpose of a credit limit on a store account?

    <p>To determine the maximum amount of credit available</p> Signup and view all the answers

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

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

    What is the purpose of a telephone bill?

    <p>To provide a detailed breakdown of the services used by the household</p> Signup and view all the answers

    What is the purpose of weather predictions?

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

    What is the purpose of a till slip?

    <p>To provide a detailed breakdown of the items purchased</p> Signup and view all the answers

    What is the formula for calculating telephone costs?

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

    What is the primary purpose of understanding financial documents and tariff systems?

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

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