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 (B)</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 (C)</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 (B)</p> Signup and view all the answers

What is the purpose of using codes in number formats?

<p>To identify individuals or objects (B)</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 (C)</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 (B)</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 (B)</p> Signup and view all the answers

What is the correct order of operations when using BODMAS?

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

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

<p>Zero (B)</p> Signup and view all the answers

What is an improper fraction?

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

How do you multiply a number by 10?

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

What is the definition of a negative number?

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

What is a common fraction?

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

What is the definition of a rate?

<p>A comparison of two numbers with different units (B)</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 (C)</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 (D)</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 (C)</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 (C)</p> Signup and view all the answers

What is the purpose of the place value table?

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

What is the primary purpose of summarising data?

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

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

<p>Mode (A), Mean (C), Median (D)</p> Signup and view all the answers

What is the formula to calculate the mean?

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

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

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

What is the range of a dataset?

<p>The highest value minus the lowest value (C)</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 (A)</p> Signup and view all the answers

What is the purpose of analysis in data?

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

What is the modal class of a grouped dataset?

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

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

<p>To summarise data efficiently (D)</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 (B)</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 (B)</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 (D)</p> Signup and view all the answers

What is the formula for a linear relationship?

<p>y = mx + c (A)</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 (B)</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) (A)</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 (B)</p> Signup and view all the answers

What is the definition of a decreasing graph?

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

What is the formula for an inverse proportion?

<p>y = k/x (A)</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 (D)</p> Signup and view all the answers

What is the purpose of using a database?

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

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

<p>Population (A)</p> Signup and view all the answers

What is the formula used to describe a linear relationship?

<p>y = mx + c (A)</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 (D)</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 (C)</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 (D)</p> Signup and view all the answers

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

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

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

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

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

<p>They provide qualitative insights (C)</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 (D)</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 (C)</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 (A)</p> Signup and view all the answers

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

<p>Observation (A)</p> Signup and view all the answers

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

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

What is the purpose of classifying data?

<p>To organize the data (B)</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' (A)</p> Signup and view all the answers

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

<p>To ensure unbiased responses (A)</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 (B)</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 (C)</p> Signup and view all the answers

Which type of number is used to represent financial values?

<p>Money amounts (C)</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 (C)</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 (B)</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 (A)</p> Signup and view all the answers

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

<p>The number becomes negative (D)</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 (D)</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 (A)</p> Signup and view all the answers

What is a common fraction?

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

What is the purpose of using codes in number formats?

<p>For identification purposes (C)</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 (A)</p> Signup and view all the answers

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

<p>Zero (D)</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 (D)</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 (A)</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 (C)</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 (B)</p> Signup and view all the answers

What is the purpose of estimating in mathematics?

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

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

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

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

<p>Improper Fraction (A)</p> Signup and view all the answers

What is the definition of a rate?

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

What is the purpose of using a decimal fraction representation?

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

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

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

What is the purpose of using positive and negative numbers?

<p>To represent values below zero (B)</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 (D)</p> Signup and view all the answers

What is the definition of a proportion?

<p>A relationship indicating that two ratios are equal (C)</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 (B)</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 (D)</p> Signup and view all the answers

What is the formula for a linear relationship?

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

What is an inverse proportion?

<p>A relationship where one quantity increases as the other decreases (B)</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 (C)</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 (D)</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) (C)</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 (D)</p> Signup and view all the answers

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

<p>Pie chart (D)</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 (B)</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 (B)</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 (D)</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]' (B)</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 (B)</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 (B)</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 (C)</p> Signup and view all the answers

What is the formula for a linear relationship?

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

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

<p>Labelling the axes (C)</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 (D)</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 (A)</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 (D)</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 (D)</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 (A)</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 (D)</p> Signup and view all the answers

What is the purpose of analysis in data?

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

What is the mode of a dataset?

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

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

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

What is the formula to calculate the mean?

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

What is the purpose of representing data graphically?

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

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

<p>Mean (C)</p> Signup and view all the answers

What is the purpose of using a database?

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

What is the formula for calculating the sample size?

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

What is the formula for working with grouped data?

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

What is the purpose of classifying data?

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

What is the purpose of using tallies?

<p>To count the number of items in each group (B)</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 (A)</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 (A)</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 (D)</p> Signup and view all the answers

What type of number is used to represent rates?

<p>Percentages (A)</p> Signup and view all the answers

What is the first step in arranging numbers in order?

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

What is the purpose of using codes in number formats?

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

What is the correct order of operations when using BODMAS?

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

What is the definition of a negative number?

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

What is the definition of a rate?

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

What is the purpose of identifying patterns in data?

<p>To understand relationships between variables (D)</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 (A)</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. (C)</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. (B)</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. (A)</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. (B)</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. (D)</p> Signup and view all the answers

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

<p>Zero. (A)</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. (C)</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. (B)</p> Signup and view all the answers

What is the purpose of estimating answers to calculations?

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

What is the rule for multiplying fractions?

<p>Multiply the numerators and denominators separately. (A)</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. (B)</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. (D)</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. (C)</p> Signup and view all the answers

What is the formula for a linear relationship?

<p>y = mx + c (D)</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. (A)</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. (B)</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. (B)</p> Signup and view all the answers

What is the formula for an inverse proportion?

<p>y = k/x (C)</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). (C)</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. (A)</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 (A)</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 (D)</p> Signup and view all the answers

What is the formula for describing an inverse proportion relationship?

<p>y = k/x (A)</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 (B)</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] (D)</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 (C)</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 (B)</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 (B)</p> Signup and view all the answers

What is the formula for describing a linear relationship?

<p>y = mx + c (D)</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 (C)</p> Signup and view all the answers

What is the primary purpose of summarising data?

<p>To simplify the analysis process (D)</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 (D)</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 (C)</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 (D)</p> Signup and view all the answers

What is the modal class of a grouped dataset?

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

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

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

What is the purpose of analysis in data?

<p>To identify trends and patterns (B)</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 (A)</p> Signup and view all the answers

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

<p>Range (D)</p> Signup and view all the answers

What is the purpose of representing data graphically?

<p>To identify trends and patterns (B)</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 (B)</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 (D)</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 (B)</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)) (A)</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 (D)</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 (D)</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 (C)</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 (C)</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 (D)</p> Signup and view all the answers

What is the formula for working with grouped data?

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

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