Gr10 Math Lit: Term test 1
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Gr10 Math Lit: Term test 1

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@TalentedParody

Questions and Answers

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

Decimal comma

What type of number is used to represent exact counts?

Counting Number

What is the purpose of using a place value table?

To identify the value of each digit

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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