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

Created by
@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

How do you write a large number in words?

Separate the number into groups of three digits from right to left

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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