Gr10 Math Lit: June test mix P(2)
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Questions and Answers

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

  • Dash
  • Space
  • Decimal point
  • Decimal comma (correct)

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

  • Order Number
  • Counting Number (correct)
  • Measurement
  • Percentage

    • How do you write a large number in words?

  • Read the number from right to left
  • Separate the number into groups of three digits from right to left (correct)
  • Separate the number into groups of two digits from right to left
  • Read the number from left to right

    • What is the purpose of a place value table?

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

    How do you arrange numbers in order?

    <p>Create a place value table and compare the numbers column by column from left to right</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 alternative format used to separate whole numbers from decimal fractions?

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

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

    <p>To make the number easier to read</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</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 'BODMAS'?

    <p>Brackets, Orders, Division, Multiplication, Subtraction, Addition</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?

    <p>To compare the size of numbers</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 a common fraction?

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

    What is the purpose of converting fractions to decimal fractions?

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

    What is the format for writing whole numbers in words?

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

    When arranging numbers in order, what is the first step?

    <p>Draw a table with place value columns</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 in a graph represent?

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

    What type of graph shows a rise in values?

    <p>Increasing 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 type of graph shows a curve?

    <p>Inverse proportion graph</p> Signup and view all the answers

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

    <p>Start at the origin (0,0)</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 a graph in Mathematical Literacy?

    <p>To visualize the relationship between two quantities</p> Signup and view all the answers

    What type of graph represents whole numbers?

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

    What is the slope of a line in a linear relationship?

    <p>The rate of change</p> Signup and view all the answers

    What is the formula to describe a linear relationship?

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

    What is the unit of length that is equal to 1000 meters?

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

    What is the formula to convert milliliters to liters?

    <p>Volume in l = Volume in ml / 1000</p> Signup and view all the answers

    What is the formula to describe an inverse proportion relationship?

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

    What is the unit of volume that is equal to 1000 liters?

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

    What is the formula to convert grams to kilograms?

    <p>Weight in kg = Weight in g / 1000</p> Signup and view all the answers

    What is the formula to convert cups to milliliters in cooking?

    <p>Volume in ml = Volume in cups * 250</p> Signup and view all the answers

    What is the unit of weight that is equal to 1000 kilograms?

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

    How do you plot a point on a graph?

    <p>Write the point as an ordered pair (x, y)</p> Signup and view all the answers

    What is the formula to convert milligrams to grams?

    <p>Weight in g = Weight in mg / 1000</p> Signup and view all the answers

    What is the formula to convert tsp to ml?

    <p>Volume in ml = Volume in tsp × 5</p> Signup and view all the answers

    What is the instrument used to measure distance in meters?

    <p>Trundle Wheel</p> Signup and view all the answers

    What is the conversion for 1 tonne?

    <p>1 tonne = 1000 kg</p> Signup and view all the answers

    What is the capacity of a standard measuring cup?

    <p>250 ml</p> Signup and view all the answers

    What is the temperature at which water freezes at sea level?

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

    What is the formula to calculate the total cost of an item?

    <p>All of the above</p> Signup and view all the answers

    What is the definition of a scale in a map?

    <p>A scale is a ratio representing the distance on the map to the actual distance in real life.</p> Signup and view all the answers

    What type of scale is expressed as a ratio (e.g., 1:50)?

    <p>Number Scale</p> Signup and view all the answers

    What is the formula to calculate the real distance using a number scale?

    <p>Real Distance = Measured Distance on Map × Scale Factor</p> Signup and view all the answers

    What is the purpose of measuring and estimating length, weight, volume, and temperature?

    <p>For various tasks such as cooking, baking, planning projects, and managing finances</p> Signup and view all the answers

    What is the definition of a map's scale?

    <p>A ratio representing the actual distance on the map to the real distance in reality</p> Signup and view all the answers

    What is the advantage of using a number scale?

    <p>It is simple to use and requires measuring only one distance</p> Signup and view all the answers

    What is the formula to calculate the real distance using a number scale?

    <p>Real Distance = Measured Distance on Map x Scale Factor</p> Signup and view all the answers

    What is the disadvantage of using a number scale?

    <p>It becomes incorrect if the map is resized because the scale does not adjust proportionally</p> Signup and view all the answers

    What is the formula to calculate the real distance using a bar scale?

    <p>Real Distance = (Measured Distance on Map / Length of One Segment) x Distance Represented by One Segment</p> Signup and view all the answers

    What is the advantage of using a bar scale?

    <p>It remains accurate when the map is resized because the scale adjusts proportionally</p> Signup and view all the answers

    What is the formula to draw a scaled map from real dimensions?

    <p>Scaled Measurement = Actual Measurement / Scale Factor</p> Signup and view all the answers

    What is the purpose of measuring the length or width of objects on the map?

    <p>To use the scale to calculate actual dimensions</p> Signup and view all the answers

    What is the disadvantage of using a bar scale?

    <p>It requires measuring the length of a segment and then calculating how many segments fit the measured distance</p> Signup and view all the answers

    What is the purpose of using scales in maps?

    <p>To accurately interpret and navigate maps</p> Signup and view all the answers

    What does the scale 1:50 represent in a map?

    <p>1 unit on the map represents 50 units in real life</p> Signup and view all the answers

    What is the purpose of providing clear and concise language when giving directions?

    <p>To ensure the person knows the exact route to take</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 theoretical probability of getting heads in a coin toss?

    <p>1/2</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</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 complement of an event?

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

    What is the purpose of a floor plan?

    <p>To show the location of furniture and other elements in a room</p> Signup and view all the answers

    What is the difference between a fair and unfair game?

    <p>A fair game has an equal chance of winning or losing, while an unfair game has a lower chance of winning</p> Signup and view all the answers

    What is the purpose of predicting the weather?

    <p>To make informed decisions based on the likelihood of certain weather conditions</p> Signup and view all the answers

    What is the purpose of estimating in maths?

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

    What is the order of operations in BODMAS?

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

    What is a proper fraction?

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

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

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

    What is a negative number?

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

    When rounding a number to the nearest 10, what happens to numbers with units digits 1-4?

    <p>They round down to the previous 10</p> Signup and view all the answers

    What is a ratio?

    <p>A comparison of two or more numbers of the same unit</p> Signup and view all the answers

    How do you calculate a percentage?

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

    What is a feature of a decreasing graph?

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

    What is a discrete graph?

    <p>A graph that represents whole numbers, shown by points connected by dotted lines</p> Signup and view all the answers

    What is the main purpose of estimating in mathematical calculations?

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

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

    <p>2 1/3</p> Signup and view all the answers

    When multiplying a number by 10, what happens to the digits?

    <p>They shift to the left by one place</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

    When rounding a number to the nearest 10, what do you do with numbers with units digits 1-4?

    <p>Round down to the previous 10</p> Signup and view all the answers

    What is the formula to calculate the percentage value of a given amount?

    <p>Percentage x Amount / 100</p> Signup and view all the answers

    What is the purpose of a graph in Mathematical Literacy?

    <p>To show patterns and relationships</p> Signup and view all the answers

    What type of graph shows a decrease in values?

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

    What is the formula to simplify a ratio?

    <p>Divide both terms by their greatest common divisor</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 purpose of using BODMAS when performing calculations?

    <p>To ensure the order of operations is followed</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 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 a calculator's memory functions?

    <p>To store and recall numbers for calculations</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 result of adding a number and its opposite?

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

    What is the purpose of converting between fractions and decimals?

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

    What is the definition of a ratio?

    <p>A comparison of two quantities</p> Signup and view all the answers

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

    <p>To compare and order large numbers</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 purpose of separating numbers into groups of three digits in number formats?

    <p>To make the number more readable</p> Signup and view all the answers

    Which type of number is used to represent rates?

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

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

    <p>It helps to identify the place value of each digit</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

    What is the format for writing 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 comma in number formats in South Africa?

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

    What is the benefit of using different number formats in different contexts?

    <p>It makes it easier to read and understand numbers</p> Signup and view all the answers

    What is the purpose of reading and writing large numbers in symbol form?

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

    What is the purpose of a graph in Mathematical Literacy?

    <p>To visualize the relationship between two quantities</p> Signup and view all the answers

    What type of graph represents a relationship where one quantity increases as the other decreases?

    <p>Inverse proportion 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 dependent variable in a graph?

    <p>The variable that changes in response to the independent variable</p> Signup and view all the answers

    What is the purpose of identifying patterns in a graph?

    <p>To develop a rule or formula to describe the pattern</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 does the vertical axis in a graph represent?

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

    What type of graph shows a rise in values?

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

    What is the purpose of finding the slope of a line in a linear relationship?

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

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

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

    What is the formula to convert millimeters to centimeters?

    <p>Length in cm = Length in mm ÷ 10</p> Signup and view all the answers

    Which of the following is an example of an inverse proportion relationship?

    <p>A graph that forms a curve</p> Signup and view all the answers

    What is the formula to convert kilograms to grams?

    <p>Weight in g = Weight in kg × 1000</p> Signup and view all the answers

    What is the formula to convert litres to kilolitres?

    <p>Volume in kl = Volume in l ÷ 1000</p> Signup and view all the answers

    What is the formula to convert teaspoons to millilitres?

    <p>Volume in ml = Volume in tsp × 5</p> Signup and view all the answers

    What is the unit of length that is equal to 1000 meters?

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

    What is the formula to convert cups to millilitres?

    <p>Volume in ml = Volume in cups × 250</p> Signup and view all the answers

    What is the unit of volume that is equal to 1000 litres?

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

    What is the formula to convert milligrams to grams?

    <p>Weight in g = Weight in mg ÷ 1000</p> Signup and view all the answers

    What is the unit of weight that is equal to 1000 kilograms?

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

    What is the instrument used to measure distance in centimetres and meters?

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

    What is the unit of weight that is equal to 1000 grams?

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

    What is the formula to convert teaspoons to milliliters?

    <p>Volume in ml = Volume in tsp × 5</p> Signup and view all the answers

    What is the temperature at which water boils at sea level?

    <p>100°C</p> Signup and view all the answers

    What is the purpose of a scale in a map?

    <p>To represent the distance on the map to the actual distance in real life</p> Signup and view all the answers

    What is the formula to calculate the real distance using a bar scale?

    <p>Real Distance = (Measured Distance on Map / Length of One Segment) × Distance Represented by One Segment</p> Signup and view all the answers

    What is the capacity of a standard measuring cup?

    <p>250 ml</p> Signup and view all the answers

    What is the conversion for 1 tonne?

    <p>1000 kg</p> Signup and view all the answers

    What is the formula to calculate the total cost of an item?

    <p>All of the above</p> Signup and view all the answers

    What is the purpose of measuring and estimating length, weight, volume, and temperature?

    <p>To perform various tasks such as cooking, baking, planning projects, and managing finances</p> Signup and view all the answers

    What is the main purpose of using a scale on a map?

    <p>To accurately represent the distance between objects on the map</p> Signup and view all the answers

    What is the advantage of using a bar scale over a number scale?

    <p>It is more accurate when the map is resized</p> Signup and view all the answers

    What is the formula to calculate the real distance using a bar scale?

    <p>Real Distance = (Measured Distance on Map ÷ Length of One Segment) × Distance Represented by One Segment</p> Signup and view all the answers

    What is the first step in drawing a scaled map from real dimensions?

    <p>Know the actual measurements of everything to be included</p> Signup and view all the answers

    What is the disadvantage of using a number scale?

    <p>It becomes inaccurate when the map is resized</p> Signup and view all the answers

    What is the formula to calculate the scaled measurement?

    <p>Scaled Measurement = Actual Measurement ÷ Scale Factor</p> Signup and view all the answers

    What is the purpose of using scales on maps?

    <p>To accurately interpret and navigate maps</p> Signup and view all the answers

    What is the difference between a number scale and a bar scale?

    <p>A number scale is expressed as a ratio, while a bar scale is expressed as a segmented bar</p> Signup and view all the answers

    What is the advantage of using a number scale?

    <p>It is easier to calculate distances</p> Signup and view all the answers

    What is the purpose of measuring and estimating length, weight, volume, and temperature?

    <p>To make informed decisions in everyday life</p> Signup and view all the answers

    What is the purpose of providing directions using clear and concise language?

    <p>To help the listener navigate efficiently</p> Signup and view all the answers

    What is the range of a probability scale?

    <p>0 to 1</p> Signup and view all the answers

    What is the purpose of using symbols in floor plans?

    <p>To indicate the location of furniture and fixtures</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 using 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 to calculate 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 using a scale in a map?

    <p>To represent a larger area in a smaller space</p> Signup and view all the answers

    What is the definition of an event?

    <p>A collection of one or more outcomes</p> Signup and view all the answers

    What is the purpose of using relative frequency?

    <p>To describe the actual result of an experiment</p> Signup and view all the answers

    What is the purpose of using weather predictions?

    <p>To make accurate predictions about the weather</p> Signup and view all the answers

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

    <p>To make the number more readable</p> Signup and view all the answers

    What is the main difference between the decimal fraction representation used in South Africa and the alternative format?

    <p>The symbol used to separate whole numbers from decimal fractions</p> Signup and view all the answers

    What is the purpose of a place value table?

    <p>To identify the value of each digit in a number</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 advantage of using a place value table when arranging numbers in order?

    <p>It makes it easier to compare numbers</p> Signup and view all the answers

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

    <p>To make the number easier to understand in a specific context</p> Signup and view all the answers

    What is the result of using a decimal comma to separate whole numbers from decimal fractions in a number?

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

    What is the main advantage of using a specific number format in a particular context?

    <p>It makes the number easier to understand</p> Signup and view all the answers

    What is the purpose of estimating answers to calculations in mathematics?

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

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

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

    What is the purpose of estimating in calculations?

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

    What is the order of operations when performing calculations involving brackets, orders, division, multiplication, addition, and subtraction?

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

    What is the result of multiplying a number by 100?

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

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

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

    What is the result of multiplying a number by 100?

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

    What type of fraction is a numerator that is larger than the denominator?

    <p>Improper fraction</p> Signup and view all the answers

    What is the definition of a proper fraction?

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

    What is the purpose of using a common denominator when adding or subtracting fractions?

    <p>To enable the addition or subtraction of fractions</p> Signup and view all the answers

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

    <p>Divide the numerator by the denominator</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 ratios in mathematical literacy?

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

    What is the format for writing whole numbers in words?

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

    What is the definition of a linear relationship?

    <p>A relationship where the graph shows a straight line</p> Signup and view all the answers

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

    <p>To enable the comparison of numbers</p> Signup and view all the answers

    What is the purpose of using graphs in mathematical literacy?

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

    What is the advantage of using a number format like 1 234 567 instead of 1234567?

    <p>It makes the number easier to read</p> Signup and view all the answers

    What is the definition of a discrete graph?

    <p>A graph that represents whole numbers, shown by points connected by dotted lines</p> Signup and view all the answers

    What is the formula to calculate the 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 main difference between an independent variable and a dependent variable?

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

    What does a steep slope on a graph indicate?

    <p>A quick rate of change.</p> Signup and view all the answers

    What type of graph is used to represent whole numbers?

    <p>Discrete graph.</p> Signup and view all the answers

    What is the purpose of identifying patterns in a graph?

    <p>To develop a rule to describe the pattern.</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 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 is the purpose of interpreting graphs?

    <p>To understand the relationship between two quantities.</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 a point on a grid?

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

    What type of graph shows a decline in values?

    <p>Decreasing graph.</p> Signup and view all the answers

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

    <p>To find the value of a specific term in the sequence</p> Signup and view all the answers

    What is the formula to convert centimeters to meters?

    <p>Length in m = Length in cm / 100</p> Signup and view all the answers

    What is the graph that represents a linear relationship?

    <p>A straight line</p> Signup and view all the answers

    What is the formula to convert kilograms to tonnes?

    <p>Weight in t = Weight in kg / 1000</p> Signup and view all the answers

    What is the purpose of converting between units of measurement?

    <p>To make calculations easier and more accurate</p> Signup and view all the answers

    What is the formula to convert milliliters to liters?

    <p>Volume in l = Volume in ml / 1000</p> Signup and view all the answers

    What is the graph that represents an inverse proportion relationship?

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

    What is the formula to convert cups to milliliters in cooking?

    <p>Volume in ml = Volume in cups × 250</p> Signup and view all the answers

    What is the unit of length that is equal to 1000 meters?

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

    What is the formula to convert teaspoons to milliliters?

    <p>Volume in ml = Volume in tsp × 15</p> Signup and view all the answers

    What is the conversion rate from teaspoons to milliliters?

    <p>1 teaspoon = 5 ml</p> Signup and view all the answers

    What instrument is used to measure distance in meters?

    <p>Trundle Wheel</p> Signup and view all the answers

    What is the conversion for 1 tonne?

    <p>1 tonne = 1000 kg</p> Signup and view all the answers

    What is the purpose of a map's scale?

    <p>To represent the distance on the map to the actual distance in real life</p> Signup and view all the answers

    What is the formula to calculate the total cost of an item?

    <p>All of the above</p> Signup and view all the answers

    What is the temperature at which water freezes at sea level?

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

    What type of scale is expressed as a ratio (e.g., 1:50)?

    <p>Number Scale</p> Signup and view all the answers

    What is the capacity of a standard measuring cup?

    <p>250 ml</p> Signup and view all the answers

    What is the formula to calculate the real distance using a number scale?

    <p>Real Distance = Measured Distance on Map × Scale Factor</p> Signup and view all the answers

    What is the purpose of measuring and estimating length, weight, volume, and temperature?

    <p>To perform various tasks such as cooking, baking, and planning projects</p> Signup and view all the answers

    What is the purpose of a scale in a map?

    <p>To represent a ratio of the actual distance to the distance on the map</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 to calculate 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 the actual result of an experiment?

    <p>Relative frequency</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 term for a collection of one or more outcomes?

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

    What is the formula to calculate 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 symbols in a floor plan?

    <p>To identify common elements like toilets and lifts</p> Signup and view all the answers

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

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

    What is the purpose of weather predictions?

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

    What is the purpose of a scale in a map?

    <p>To represent the distance on the map to the actual distance in real life</p> Signup and view all the answers

    What is the formula to calculate the real distance using a number scale?

    <p>Real Distance = Measured Distance on Map × Scale Factor</p> Signup and view all the answers

    What is the advantage of using a bar scale?

    <p>It remains accurate when the map is resized</p> Signup and view all the answers

    What is the formula to draw a scaled map from real dimensions?

    <p>Scaled Measurement = Actual Measurement / Scale Factor</p> Signup and view all the answers

    What is a disadvantage of using a number scale?

    <p>It becomes inaccurate when the map is resized</p> Signup and view all the answers

    What is the purpose of measuring and estimating length, weight, volume, and temperature?

    <p>To understand and interpret maps and plans</p> Signup and view all the answers

    What is the formula to calculate the real distance using a bar scale?

    <p>Real Distance = (Measured Distance on Map / Length of One Segment) × Distance Represented by One Segment</p> Signup and view all the answers

    What is the advantage of using a number scale?

    <p>It is simple to use and requires measuring only one distance</p> Signup and view all the answers

    What is the purpose of using scales in maps?

    <p>To accurately interpret and navigate maps and plans</p> Signup and view all the answers

    What is the disadvantage of using a bar scale?

    <p>It requires measuring the length of one segment and then calculating how many segments fit the measured distance</p> Signup and view all the answers

    What is the primary purpose of using a place value table in number representations?

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

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

    <p>To simplify the calculation and make it easier to perform</p> Signup and view all the answers

    What is the main difference between the decimal fraction representation used in South Africa and the alternative format?

    <p>The use of a decimal point instead of a decimal comma</p> Signup and view all the answers

    What type of number is used to represent a rate or proportion?

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

    What is the result of multiplying two fractions together?

    <p>A fraction with a smaller denominator</p> Signup and view all the answers

    What is the purpose of grouping numbers in addition and multiplication?

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

    When writing a large number in words, what is the first step?

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

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

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

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

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

    What is the purpose of converting fractions to decimal fractions?

    <p>To make the fraction easier to compare and perform calculations</p> Signup and view all the answers

    What is the primary purpose of using decimal fractions in number representations?

    <p>To separate whole numbers from decimal fractions</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 relationship between a place value table and the ordering of numbers?

    <p>A place value table is used to compare and order numbers</p> Signup and view all the answers

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

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

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

    <p>The decimal comma is used in South Africa, while the decimal point is used in the US</p> Signup and view all the answers

    What is the correct way to 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 estimating answers to calculations?

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

    What is the correct way to arrange numbers in order from smallest to largest?

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

    What is the main difference between dependent and independent variables in a graph?

    <p>Dependent variables are affected by other variables, while independent variables are not.</p> Signup and view all the answers

    What does the steepness of a graph indicate?

    <p>The rate of change of the dependent variable.</p> Signup and view all the answers

    What type of graph represents a linear relationship?

    <p>Continuous graph with a solid line.</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 a graph in Mathematical Literacy?

    <p>To visualize the relationship between two quantities.</p> Signup and view all the answers

    What does the horizontal axis in a graph represent?

    <p>The independent variable.</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 type of graph shows a decline in values?

    <p>Decreasing graph with a gradual slope.</p> Signup and view all the answers

    What is the purpose of estimating in mathematical calculations?

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

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

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

    What is the rule for rounding a number 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 identifying patterns and relationships in data?

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

    What is the formula to calculate the percentage value of a given amount?

    <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 using a graph in Mathematical Literacy?

    <p>To display relationships between two variables, making data easier to interpret visually</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

    How do you simplify a ratio?

    <p>By dividing both terms by their greatest common divisor</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 purpose of using a place value table?

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

    What is the definition of an improper fraction?

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

    What is the formula to convert a decimal fraction to a common fraction?

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

    What is the volume in milliliters of a container that can hold 3 teaspoons of liquid?

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

    What is the total cost of a material that costs $5 per liter, if you need 250 milliliters of it?

    <p>$1.25</p> Signup and view all the answers

    What is the real distance in meters if the distance on a map is 5 cm, and the scale is 1:100?

    <p>500</p> Signup and view all the answers

    What is the weight in kilograms of a person who weighs 2500 grams?

    <p>2.5</p> Signup and view all the answers

    What is the temperature in degrees Celsius at which water boils at sea level?

    <p>100</p> Signup and view all the answers

    What is the instrument used to measure distance in kilometers?

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

    What is the conversion from 1 liter to milliliters?

    <p>1000</p> Signup and view all the answers

    What is the formula to convert teaspoons to milliliters?

    <p>Volume in ml = Volume in tsp × 5</p> Signup and view all the answers

    What is the definition of a scale in a map?

    <p>A scale is a ratio that represents the distance on the map to the actual distance in real life.</p> Signup and view all the answers

    What is the purpose of measuring and estimating length, weight, volume, and temperature?

    <p>To perform various tasks such as cooking, baking, planning projects, and managing finances.</p> Signup and view all the answers

    What is the main difference between a number scale and a bar scale?

    <p>A number scale is expressed as a ratio, while a bar scale is represented graphically</p> Signup and view all the answers

    What is the disadvantage of using a number scale when resizing a map?

    <p>It becomes less accurate</p> Signup and view all the answers

    What is the formula to calculate the real distance using a bar scale?

    <p>Real Distance = (Measured Distance on Map / Length of One Segment) × Distance Represented by One Segment</p> Signup and view all the answers

    What is the advantage of using a bar scale when resizing a map?

    <p>It adjusts proportionally</p> Signup and view all the answers

    What is the formula to draw a scaled map from real dimensions?

    <p>Scaled Measurement = Actual Measurement / Scale Factor</p> Signup and view all the answers

    What is the purpose of using scales in maps?

    <p>To accurately represent real-world distances</p> Signup and view all the answers

    What is the definition of a map's scale?

    <p>A ratio representing the distance on the map to the actual distance in real life</p> Signup and view all the answers

    What is the advantage of using a number scale?

    <p>It is simpler to use than a bar scale</p> Signup and view all the answers

    What is the disadvantage of using a bar scale?

    <p>It requires more complex calculations</p> Signup and view all the answers

    How do you measure the distance on a map using a bar scale?

    <p>Measure the length of one segment and calculate how many segments fit the measured distance</p> Signup and view all the answers

    What is the purpose of a probability scale?

    <p>To describe the likelihood of an event occurring</p> Signup and view all the answers

    What is the difference between a fair game and an unfair game?

    <p>A fair game has an equal chance of winning or losing, while an unfair game is weighted to favor one player</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 to calculate 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 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 scale in a map?

    <p>To represent a large area in a smaller format</p> Signup and view all the answers

    How do you convert a real dimension to a scale dimension?

    <p>Divide the real dimension by the scale</p> Signup and view all the answers

    What is the purpose of a seating plan?

    <p>To show the location of seats in a cinema or theatre</p> Signup and view all the answers

    What is the purpose of a floor plan?

    <p>To show the location of furniture in a room</p> Signup and view all the answers

    What is the purpose of using symbols in a floor plan?

    <p>To represent common elements like toilets, lifts, and stairs</p> Signup and view all the answers

    What is the value of x in the equation 2x + 5 = 11, where x represents the position in a sequence?

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

    If a point is plotted on the graph at (3, 4), what is the value of y when x is 6?

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

    What is the formula to convert 250 milliliters to liters?

    <p>Volume in liters = Volume in milliliters / 250</p> Signup and view all the answers

    What is the value of k in the inverse proportion formula y = k/x, if y = 4 when x = 2?

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

    What is the formula to convert 1 kilogram to grams?

    <p>Weight in grams = Weight in kilograms × 1000</p> Signup and view all the answers

    If a sequence has a general formula an = 2n + 1, what is the value of the 5th term?

    <p>11</p> Signup and view all the answers

    What is the formula to convert 1 kilolitre to litres?

    <p>Volume in litres = Volume in kilolitres × 1000</p> Signup and view all the answers

    What is the value of x in the equation y = 2x - 3, if y = 5 and x represents the position in a sequence?

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

    What is the formula to convert 15 millilitres to teaspoons?

    <p>Volume in teaspoons = Volume in millilitres / 5</p> Signup and view all the answers

    What is the value of the 3rd term in a sequence with a general formula an = n^2 - 1?

    <p>9</p> Signup and view all the answers

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