Gr10 Math Lit: Term test 1
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Questions and Answers

What is the convention used in South Africa to separate whole numbers from decimal fractions?

  • Comma
  • Decimal point
  • Space
  • Decimal comma (correct)
  • What type of number is used to represent exact counts?

  • Measurement
  • Order Number
  • Percentage
  • Counting Number (correct)
  • What is the purpose of using a place value table?

  • To identify the value of each digit (correct)
  • To compare numbers
  • To arrange numbers in order
  • To read and write large numbers
  • How do you write numbers in words?

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

    What is the purpose of using a decimal fraction representation?

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

    How do you arrange numbers in order?

    <p>Create a place value table and compare digits starting from the leftmost column</p> Signup and view all the answers

    What is the purpose of using codes in number formats?

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

    What is the alternative format used in the US to separate whole numbers from decimal fractions?

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

    What is the primary purpose of estimating in mathematics?

    <p>To think about a problem before solving it</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 correct order of operations when using BODMAS?

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

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

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

    What is the result of multiplying a number by 100?

    <p>The number is shifted two digits to the right</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 an improper fraction?

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

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

    <p>Use division to find the numerator and denominator</p> Signup and view all the answers

    How do you multiply a number by 10?

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

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

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

    What is the definition of a negative number?

    <p>A number less 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 a common fraction?

    <p>A fraction with a numerator smaller than the denominator</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

    How do you arrange numbers in order from smallest to largest?

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

    How do you calculate a percentage value?

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

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

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

    What is the main difference between a continuous and discrete graph?

    <p>The type of data being represented</p> Signup and view all the answers

    What is the purpose of the place value table?

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

    What is the primary purpose of summarising data?

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

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

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

    What is the formula to calculate the mean?

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

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

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

    What is the range of a dataset?

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

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

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

    What is the purpose of analysis in data?

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

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

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

    What is the modal class of a grouped dataset?

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

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

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

    What is the definition of an independent variable in a graph?

    <p>A variable that stands alone and isn't affected by other variables</p> Signup and view all the answers

    What does the vertical axis (y-axis) represent in a graph?

    <p>The starting value of the dependent variable</p> Signup and view all the answers

    What type of graph is represented by a solid line, indicating that all points along the graph are part of the relationship?

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

    What is the formula for a linear relationship?

    <p>y = mx + c</p> Signup and view all the answers

    What is the definition of an inverse proportion?

    <p>A relationship where one quantity increases, the other decreases</p> Signup and view all the answers

    What is the first step in plotting points on a grid?

    <p>Start at the origin (0,0)</p> Signup and view all the answers

    What is the purpose of identifying patterns in data?

    <p>To develop a rule or formula to describe the pattern</p> Signup and view all the answers

    What is the definition of a decreasing graph?

    <p>The slope goes down from left to right</p> Signup and view all the answers

    What is the formula for an inverse proportion?

    <p>y = k/x</p> Signup and view all the answers

    What is the purpose of writing a rule or formula for a pattern?

    <p>To describe the pattern in a general way</p> Signup and view all the answers

    What is the purpose of using a database?

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

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

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

    What is the formula used to describe a linear relationship?

    <p>y = mx + c</p> Signup and view all the answers

    What is the purpose of using a general formula in a sequence?

    <p>To describe the relationship between terms</p> Signup and view all the answers

    What is the formula for calculating the probability of selection in a random sample?

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

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

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

    What is the characteristic of a graph that represents an inverse proportion relationship?

    <p>A curve</p> Signup and view all the answers

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

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

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

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

    What is the purpose of using tallies in organizing data?

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

    What is the advantage of using open questions in a research?

    <p>They provide qualitative insights</p> Signup and view all the answers

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

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

    What is the formula for calculating the total number of items in grouped data?

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

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

    <p>To measure the response score</p> Signup and view all the answers

    What is the method of data collection that involves observing phenomena without personal contact?

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

    What is the formula used to describe an inverse proportion relationship?

    <p>y = k/x</p> Signup and view all the answers

    What is the term for data that cannot be measured numerically but can be described?

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

    What is the purpose of classifying data?

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

    What is the characteristic of a closed question?

    <p>It can be answered with a simple 'yes' or 'no'</p> Signup and view all the answers

    Why is it important to avoid leading questions in a research?

    <p>To ensure unbiased responses</p> Signup and view all the answers

    What is the purpose of using spaces to separate groups of three digits in number formats?

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

    What is the main purpose of estimating in mathematics?

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

    Which type of number is used to represent financial values?

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

    What is the function of the MRC key on a calculator?

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

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

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

    Which of the following is an example of an order number?

    <p>A student's position in a class</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 the order of operations, often remembered by the acronym BODMAS?

    <p>To follow a specific order when performing mathematical operations</p> Signup and view all the answers

    What is the purpose of using a decimal fraction representation?

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

    What is a common fraction?

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

    How do you read and write large numbers?

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

    What is the purpose of using codes in number formats?

    <p>For identification purposes</p> Signup and view all the answers

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

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

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

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

    What is the alternative format used in the US to separate whole numbers from decimal fractions?

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

    What is the purpose of grouping in addition and multiplication?

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

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

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

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

    <p>To break large numbers into smaller parts to multiply each part and then add the results</p> Signup and view all the answers

    What is the purpose of estimating in mathematics?

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

    What operation should be performed first when using the BODMAS rule?

    <p>Orders and Brackets</p> Signup and view all the answers

    What is the result of multiplying a number by 1000?

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

    What type of fraction has a numerator greater than its denominator?

    <p>Improper Fraction</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 using a decimal fraction representation?

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

    What type of graph displays measurements that can take any value within a range?

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

    What is the purpose of using positive and negative numbers?

    <p>To represent values below 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 proportion?

    <p>A relationship indicating that two ratios are equal</p> Signup and view all the answers

    What is the independent variable in a graph?

    <p>The variable that stands alone and isn't affected by other variables</p> Signup and view all the answers

    What does the horizontal axis (x-axis) represent in a graph?

    <p>The dependent variable has reached zero</p> Signup and view all the answers

    What is the formula for a linear relationship?

    <p>y = mx + c</p> Signup and view all the answers

    What is an inverse proportion?

    <p>A relationship where one quantity increases as the other decreases</p> Signup and view all the answers

    What is the purpose of identifying patterns in data?

    <p>To develop a rule or formula to describe the pattern</p> Signup and view all the answers

    What is the definition of a decreasing graph?

    <p>A graph where the slope goes down from left to right</p> Signup and view all the answers

    What is the first step in plotting points on a grid?

    <p>Start at the origin (0,0)</p> Signup and view all the answers

    What is the purpose of writing a rule or formula for a pattern?

    <p>To describe the pattern and make predictions</p> Signup and view all the answers

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

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

    What is the range of a dataset?

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

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

    <p>To ensure the research is specific and measurable</p> Signup and view all the answers

    What type of question is useful for gaining deeper insights and understanding the reasons behind certain opinions or behaviours?

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

    What is the formula for stating the aim of the research?

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

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

    <p>To gain deeper insights and understand the reasons behind certain opinions or behaviours</p> Signup and view all the answers

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

    <p>To collect data that does not involve personal contact</p> Signup and view all the answers

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

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

    What is the formula for a linear relationship?

    <p>y = mx + c</p> Signup and view all the answers

    What is the first step in plotting points on a grid?

    <p>Labelling the axes</p> Signup and view all the answers

    What is the purpose of using a linear formula to describe a relationship?

    <p>To show a linear relationship</p> Signup and view all the answers

    What is the purpose of constructing effective questions?

    <p>To ensure the question is easily understood and does not include complex language</p> Signup and view all the answers

    What is the purpose of summarising data?

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

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

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

    What is the range of a dataset?

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

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

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

    What is the purpose of analysis in data?

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

    What is the mode of a dataset?

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

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

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

    What is the formula to calculate the mean?

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

    What is the purpose of representing data graphically?

    <p>To show the relationship between different variables</p> Signup and view all the answers

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

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

    What is the purpose of using a database?

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

    What is the formula for calculating the sample size?

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

    What is the purpose of relevance checking in questionnaire development?

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

    What is the difference between categorical and numerical data?

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

    What is the purpose of using a Likert scale?

    <p>To measure the response score for each item</p> Signup and view all the answers

    What is the formula for working with grouped data?

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

    What is the purpose of classifying data?

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

    What is the purpose of using open-ended questions?

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

    What is the purpose of using frequency tables?

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

    What is the purpose of using tallies?

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

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

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

    What is the advantage of using a place value table?

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

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

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

    What type of number is used to represent rates?

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

    What is the first step in arranging numbers in order?

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

    What is the purpose of using codes in number formats?

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

    What is the format used to represent money amounts in South Africa?

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

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

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

    What is the primary 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 a number by 1000?

    <p>Add three zeros to the end of the number</p> Signup and view all the answers

    What is the definition of a negative number?

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

    What is the rule for rounding to the nearest 10?

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

    What is the definition of a rate?

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

    What is the purpose of calculating a percentage value?

    <p>To express a value as a part of 100</p> Signup and view all the answers

    What is the main difference between a continuous and discrete graph?

    <p>Continuous graphs have points connected by solid lines, while discrete graphs have points connected by dotted lines</p> Signup and view all the answers

    What is the purpose of identifying patterns in data?

    <p>To understand relationships between variables</p> Signup and view all the answers

    What is the definition of a decreasing graph?

    <p>A graph with a slope that goes down from left to right</p> Signup and view all the answers

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

    <p>To ensure that calculations are performed in a specific sequence to avoid errors.</p> Signup and view all the answers

    What is the result of multiplying a number by 1000?

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

    What is the purpose of using the memory keys on a calculator?

    <p>To store and retrieve numbers for later use in calculations.</p> Signup and view all the answers

    What is the definition of a proper fraction?

    <p>A fraction where the numerator is smaller than the denominator.</p> Signup and view all the answers

    What is the purpose of grouping numbers when multiplying or adding large numbers?

    <p>To make the calculations easier to perform and understand.</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 the change sign key on a calculator?

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

    What is the 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 estimating answers to calculations?

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

    What is the rule for multiplying fractions?

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

    What is the meaning of the point where the graph touches the horizontal axis?

    <p>The dependent variable has reached zero.</p> Signup and view all the answers

    What is the purpose of identifying patterns in data?

    <p>To develop a rule or formula that describes the pattern.</p> Signup and view all the answers

    What is the difference between an increasing and a decreasing graph?

    <p>The slope of the line is positive for increasing and negative for decreasing.</p> Signup and view all the answers

    What is the formula for a linear relationship?

    <p>y = mx + c</p> Signup and view all the answers

    What is the definition of an inverse proportion?

    <p>A relationship where one quantity increases as the other decreases.</p> Signup and view all the answers

    What is the purpose of writing a rule or formula for a pattern?

    <p>To develop a general formula that can be used to predict future values.</p> Signup and view all the answers

    What is the meaning of the point where the graph touches the vertical axis?

    <p>The starting value of the dependent variable.</p> Signup and view all the answers

    What is the formula for an inverse proportion?

    <p>y = k/x</p> Signup and view all the answers

    What is the first step in plotting points on a grid?

    <p>Start at the origin (0,0).</p> Signup and view all the answers

    What is the purpose of using graphs to visualize data?

    <p>To make it easier to understand the relationship between two variables.</p> Signup and view all the answers

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

    <p>To ensure that the research is specific and measurable</p> Signup and view all the answers

    What type of question is useful for gaining deeper insights and understanding the reasons behind certain opinions or behaviors?

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

    What is the formula for describing an inverse proportion relationship?

    <p>y = k/x</p> Signup and view all the answers

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

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

    What is the formula for stating the aim of the research?

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

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

    <p>To observe phenomena without personal contact</p> Signup and view all the answers

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

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

    What is the purpose of identifying patterns in data?

    <p>To write a rule or formula for the pattern</p> Signup and view all the answers

    What is the formula for describing a linear relationship?

    <p>y = mx + c</p> Signup and view all the answers

    What is the purpose of using a combination of different methods of collecting data?

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

    What is the primary purpose of summarising data?

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

    What is the measure of central tendency that shows the central position of a dataset when the data is arranged in ascending or descending order?

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

    What is the type of graph that shows the relationship between two quantities over time?

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

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

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

    What is the modal class of a grouped dataset?

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

    What is the formula to calculate the range of a dataset?

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

    What is the purpose of analysis in data?

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

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

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

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

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

    What is the purpose of representing data graphically?

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

    What is the main purpose of using a random sample in data collection?

    <p>To ensure the sample is representative of the population</p> Signup and view all the answers

    What is the primary purpose of questionnaires in data collection?

    <p>To gather information from a specific group of people</p> Signup and view all the answers

    What is the main difference between categorical and numerical data?

    <p>Categorical data is used for classification, while numerical data is used for measurement</p> Signup and view all the answers

    What is the formula for calculating the sample size when the population size is known?

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

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

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

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

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

    What is the primary purpose of using tallies in data organization?

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

    What is the main difference between discrete and continuous data?

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

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

    <p>To identify the type of data that has been collected</p> Signup and view all the answers

    What is the formula for working with grouped data?

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

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