Gr 11 Math Lit: November Medium P(2)
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Questions and Answers

What is the main purpose of using a national road map in South Africa?

  • To find the location of a specific street in a city
  • To estimate the cost of refuelling
  • To determine the position of a house within a housing complex
  • To plan a route between two major cities (correct)
  • What is the main advantage of using a strip chart when planning a road trip?

  • It shows the location of streets and other locations within a city
  • It provides a detailed view of the entire country
  • It gives accurate traveling distances on specific sections of a route (correct)
  • It provides a grid reference system with a street index
  • What skill is required when using a street map to navigate a city?

  • Estimating traveling costs and times
  • Deciding on the most appropriate route between destinations
  • Working with a map that shows a small area with limited detail
  • Identifying locations using symbols and following directions (correct)
  • What is the formula for calculating the actual distance from a map measurement?

    <p>Actual distance = Map measurement × Scale factor</p> Signup and view all the answers

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

    <p>To estimate traveling distances when a distance table or distance markers are not provided</p> Signup and view all the answers

    What type of map is used to show the positions of houses within a small housing complex?

    <p>Housing complex map</p> Signup and view all the answers

    What is the main skill required when using a housing complex map?

    <p>Working with a map that shows a small area with limited detail</p> Signup and view all the answers

    What is the second type of scale calculation required in map work?

    <p>Converting actual distances to map measurements</p> Signup and view all the answers

    What is the formula to convert the actual distance to the map measurement?

    <p>Map measurement = Actual distance ÷ Scale factor</p> Signup and view all the answers

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

    <p>A number scale shows the relationship between the size of the area on the map and the actual size of that area, while a bar scale shows the relationship between measured length and actual distance</p> Signup and view all the answers

    What is the purpose of a floor plan?

    <p>To show a 2-dimensional perspective of a building as seen from above, without the roof</p> Signup and view all the answers

    What happens to a number scale when a map is resized?

    <p>The number scale becomes invalid, and a new number scale must be determined</p> Signup and view all the answers

    What is the formula to convert the map measurement to the actual distance?

    <p>Actual distance = Map measurement × Scale factor</p> Signup and view all the answers

    Why is it only possible to estimate distances on a map using a scale and not to determine distances accurately?

    <p>Because many factors can affect the accuracy of a distance calculation on a map</p> Signup and view all the answers

    What is the relationship between the size of the area on the map and the actual size of that area in a number scale?

    <p>The map is smaller than the actual area</p> Signup and view all the answers

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

    <p>A bar scale remains valid even if the map is resized</p> Signup and view all the answers

    What is the purpose of a scale on a map?

    <p>To estimate traveling distances</p> Signup and view all the answers

    What is the difference between Calculation Type 1 and Calculation Type 2?

    <p>Calculation Type 1 is used to determine the map measurement, while Calculation Type 2 is used to determine the actual distance</p> Signup and view all the answers

    What is the primary difference between simple and compound events?

    <p>The complexity of the probability calculation</p> Signup and view all the answers

    What is the purpose of a tree diagram in compound events?

    <p>To list all possible outcomes and determine their probabilities</p> Signup and view all the answers

    What is the formula for calculating the probability of a simple event?

    <p>P(event) = number of ways in which an event can happen / total number of possible outcomes</p> Signup and view all the answers

    What is the purpose of using historical trends in probability predictions?

    <p>To observe past trends and predict future events</p> Signup and view all the answers

    What is the primary advantage of using two-way tables in compound events?

    <p>They are useful for determining probability values and making predictions</p> Signup and view all the answers

    What is the difference between a probability value and a guarantee?

    <p>A probability value is a prediction, while a guarantee is a certain outcome</p> Signup and view all the answers

    What is the purpose of expressing probability values in different formats?

    <p>To make the probability values easier to understand</p> Signup and view all the answers

    What is the primary goal of drawing 2D plans or nets?

    <p>To understand the faces and edges of the 3D model</p> Signup and view all the answers

    What is an example of a simple event?

    <p>A weather forecast</p> Signup and view all the answers

    What is the importance of understanding instructions in the assembly process?

    <p>To identify all parts and components needed for assembly</p> Signup and view all the answers

    What is the primary purpose of understanding the distinction between simple and compound events?

    <p>To accurately determine and interpret probability values</p> Signup and view all the answers

    What is the purpose of measuring materials accurately in the assembly process?

    <p>To ensure that materials fit together correctly</p> Signup and view all the answers

    What is a characteristic of a probability value?

    <p>It is a prediction, not a guarantee</p> Signup and view all the answers

    What is the formula for calculating the probability of a simple event?

    <p>P(event) = number of ways in which an event can happen / total number of possible outcomes</p> Signup and view all the answers

    What is the definition of a simple event in probability?

    <p>An event that involves a single occurrence or trial</p> Signup and view all the answers

    Why is it essential to follow the assembly steps in the correct sequence?

    <p>To ensure that components fit together properly</p> Signup and view all the answers

    What is the purpose of regularly checking the assembled parts against the instructions or plans?

    <p>To ensure accuracy and make adjustments as needed</p> Signup and view all the answers

    What is the importance of using mathematical tools and techniques in the assembly process?

    <p>To measure and cut materials accurately</p> Signup and view all the answers

    What is the purpose of estimating the quantities of materials needed for the assembly?

    <p>To ensure that all necessary materials are available</p> Signup and view all the answers

    What is the outcome of correctly following the steps to assemble components?

    <p>A correctly assembled product</p> Signup and view all the answers

    What is the primary purpose of a floor plan?

    <p>To see the design and dimensions of the inside of a building or structure</p> Signup and view all the answers

    What is the function of an elevation plan?

    <p>To see the design and dimensions of the outside of a building or structure</p> Signup and view all the answers

    What is the purpose of a design drawing?

    <p>To show the design, layout, and components of an item to be constructed or manufactured</p> Signup and view all the answers

    What is the key concept for working with plans that involves identifying various elements like rooms, windows, and doors on the plan?

    <p>Describe features of a building/structure</p> Signup and view all the answers

    What is the formula used to calculate the plan measure from an actual dimension?

    <p>Plan Measure = Actual Dimension ÷ Scale Factor</p> Signup and view all the answers

    What is the primary purpose of the section on drawing scaled plans?

    <p>To calculate the plan measure from an actual dimension</p> Signup and view all the answers

    What is the key skill required to build 3D models from 2D plans/nets?

    <p>Understanding 2D plans/nets</p> Signup and view all the answers

    What is the process involved in building 3D models from 2D plans/nets?

    <p>Cutting out the 2D net from the provided plans and then folding along the indicated lines to form the edges and faces of the 3D object</p> Signup and view all the answers

    What is the purpose of creating a 2D net of a 3D model?

    <p>To facilitate the movement between 2D and 3D representations of objects</p> Signup and view all the answers

    What is the key concept that involves understanding how to take a flat, 2D drawing and fold it to create a 3D object?

    <p>Building 3D models from 2D plans/nets</p> Signup and view all the answers

    What is the characteristic of a constant ratio relationship?

    <p>The value is increased by a factor, and then this new increased value is again increased by the factor or percentage</p> Signup and view all the answers

    What is the purpose of drawing graphs of unfamiliar situations?

    <p>To make sense of the situation and reveal patterns and trends</p> Signup and view all the answers

    What is the name of the relationship characterized by a graph that looks like a series of steps?

    <p>Step-Function Relationship</p> Signup and view all the answers

    What is the name of the portion of the graph that represents a fixed fee that does not change with usage?

    <p>Flat Portion</p> Signup and view all the answers

    What is the name of the relationship that occurs when a value is increased by a factor, and then this new increased value is again increased by the factor or percentage?

    <p>Constant Ratio Relationship</p> Signup and view all the answers

    What is the benefit of recognizing and understanding the implications of constant ratio relationships, combination relationships, and step-function relationships?

    <p>We can recognize and analyze patterns and trends in real-world situations</p> Signup and view all the answers

    What is the characteristic of a step-function relationship?

    <p>Different fees are charged for different time intervals</p> Signup and view all the answers

    What is the name of the portion of the graph that represents additional charges that increase linearly with usage?

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

    What is the benefit of drawing graphs of real-world situations:

    <p>We can recognize and analyze patterns and trends, and make sense of the situation</p> Signup and view all the answers

    What is the characteristic of a combination of relationships?

    <p>The graph is made up of different portions, each representing a different relationship</p> Signup and view all the answers

    What is the key difference between simple and compound events?

    <p>Simple events involve a single occurrence, while compound events involve multiple occurrences.</p> Signup and view all the answers

    What is the formula for calculating the probability of a simple event?

    <p>P(event) = number of ways in which an event can happen / total number of possible outcomes</p> Signup and view all the answers

    What is the purpose of a tree diagram in compound events?

    <p>To visualize all possible outcomes of an event and determine their probabilities</p> Signup and view all the answers

    What is the purpose of drawing graphs of unfamiliar situations?

    <p>To make sense of the situation and reveal patterns and trends</p> Signup and view all the answers

    What is the characteristic of a constant ratio relationship?

    <p>A graph that becomes steeper at an increasing rate</p> Signup and view all the answers

    What do you read from the horizontal axis at the point of intersection?

    <p>The quantity or unit</p> Signup and view all the answers

    What is the trial and improvement method used for?

    <p>Determining the point of intersection</p> Signup and view all the answers

    What is the main difference between a simple event and a compound event?

    <p>The complexity of the calculation</p> Signup and view all the answers

    What can be understood by analyzing the intersection points and the regions around them?

    <p>Where different systems or scenarios yield the same results</p> Signup and view all the answers

    What is the purpose of a two-way table in compound events?

    <p>To compare two different variables and determine their probabilities</p> Signup and view all the answers

    What is the significance of a probability value?

    <p>It predicts the likelihood of an event</p> Signup and view all the answers

    What is the conversion factor to convert weight from kilograms to pounds?

    <p>2.206</p> Signup and view all the answers

    What is an example of a compound event?

    <p>A car insurance rate prediction</p> Signup and view all the answers

    What is the formula to convert temperature from Celsius to Fahrenheit?

    <p>°F = (1.8 × °C) + 32</p> Signup and view all the answers

    Why are conversions between solid and liquid quantities essential?

    <p>In various contexts such as baking and construction</p> Signup and view all the answers

    What is a characteristic of a graph that represents a combination of relationships?

    <p>It has a flat portion and an increasing portion</p> Signup and view all the answers

    What is the result of estimating the point of intersection from a graph?

    <p>A quantity or unit where both graphs have the same value</p> Signup and view all the answers

    Why is it important to understand that probability values are predictions, not guarantees?

    <p>To recognize the uncertainty in prediction</p> Signup and view all the answers

    What is the importance of understanding intersection points?

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

    What is the result of using the trial and improvement method?

    <p>A pair of values that produce the same result in both equations</p> Signup and view all the answers

    What is the surface area of a rectangular box with length 5 cm, width 3 cm, and height 2 cm?

    <p>62 cm²</p> Signup and view all the answers

    What is the volume of a cylindrical container with a radius of 4 cm and a height of 10 cm?

    <p>160π cm³</p> Signup and view all the answers

    What is the conversion from cubic meters to liters?

    <p>1 m³ = 1000 L</p> Signup and view all the answers

    What is the unit of measurement for surface area?

    <p>Square units (e.g., cm², m²)</p> Signup and view all the answers

    What is the formula for the surface area of a rectangular box?

    <p>SA = 2lw + 2lh + 2wh</p> Signup and view all the answers

    What is the conversion from cubic centimeters to milliliters?

    <p>1 cm³ = 1 mL</p> Signup and view all the answers

    What is the volume of a rectangular box with length 6 cm, width 4 cm, and height 3 cm?

    <p>72 cm³</p> Signup and view all the answers

    What is the formula to convert grams to milliliters?

    <p>Volume (ml) = (Weight (g) / Conversion Factor) × Conversion Factor for Volume</p> Signup and view all the answers

    What is the importance of considering the appropriate units when calculating surface area and volume?

    <p>To ensure accurate calculations</p> Signup and view all the answers

    What is the conversion factor to convert from cubic meters to liters?

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

    What is the formula for the volume of a cylindrical container?

    <p>V = πr²h</p> Signup and view all the answers

    What is the formula to calculate the amount of paint needed?

    <p>Paint Needed (liters) = Surface Area (m²) / Spread Rate (m²/liter)</p> Signup and view all the answers

    How do you convert minutes to seconds?

    <p>Multiply the number of minutes by 60</p> Signup and view all the answers

    What happens when you convert from cubic meters to cubic centimeters?

    <p>The value increases by a factor of 1000</p> Signup and view all the answers

    What is the purpose of converting time values to a single unit?

    <p>To make the time values easier to compare</p> Signup and view all the answers

    How do you calculate the difference between two time values?

    <p>Subtract the smaller time value from the larger one</p> Signup and view all the answers

    What is the purpose of a timetable?

    <p>To identify the week, date, and time of events</p> Signup and view all the answers

    What is the conversion factor to convert from cubic centimeters to milliliters?

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

    Why is it important to use the provided conversion factors?

    <p>To ensure accuracy in the conversions</p> Signup and view all the answers

    What is the formula to convert hours to seconds?

    <p>Seconds = Hours × 3600</p> Signup and view all the answers

    What is the primary purpose of converting time units?

    <p>To perform calculations involving time</p> Signup and view all the answers

    What is the formula to convert minutes to hours?

    <p>Hours = Minutes / 60</p> Signup and view all the answers

    What is the primary purpose of measuring time accurately?

    <p>To plan and organize activities effectively</p> Signup and view all the answers

    What is the purpose of understanding units of measurement?

    <p>To recognize and use standard units of measurement</p> Signup and view all the answers

    What is the purpose of using measurement techniques?

    <p>To measure length, area, and volume</p> Signup and view all the answers

    What is the purpose of estimation techniques?

    <p>To make reasonable estimates of quantities when exact measurement is not possible</p> Signup and view all the answers

    What is the primary purpose of using benchmark values in estimation?

    <p>To use known reference points to make estimations more accurate</p> Signup and view all the answers

    What is the primary purpose of calculating perimeter, area, and volume?

    <p>To apply formulas to real-life problems</p> Signup and view all the answers

    What is the primary purpose of using significant figures in measurement?

    <p>To reflect the precision of the data</p> Signup and view all the answers

    What is the primary purpose of error analysis in measurement?

    <p>To account for potential errors in measurement</p> Signup and view all the answers

    What is the primary purpose of a floor plan?

    <p>To show the design and dimensions of the inside of a building or structure</p> Signup and view all the answers

    What is the function of an elevation plan?

    <p>To show the design and dimensions of the outside of a building or structure</p> Signup and view all the answers

    What is the purpose of a design drawing?

    <p>To show the design, layout, and components of an item to be constructed or manufactured</p> Signup and view all the answers

    What is the key concept for working with plans that involves understanding how to match features shown on a floor plan with those shown on elevation plans of the same building/structure?

    <p>Match Features Between Plans</p> Signup and view all the answers

    What information is typically provided on a national road map?

    <p>Major routes, roads, and distances between major cities and towns in South Africa</p> Signup and view all the answers

    What is the formula used to calculate the plan measure from an actual dimension?

    <p>Plan Measure = Actual Dimension ÷ Scale Factor</p> Signup and view all the answers

    What is the primary purpose of using a strip chart?

    <p>To provide detailed information on specific routes</p> Signup and view all the answers

    What is the primary purpose of the section on drawing scaled plans?

    <p>To facilitate the movement between 2D and 3D representations of objects</p> Signup and view all the answers

    What is the key concept that involves understanding how to take a flat, 2D drawing and fold it to create a 3D object?

    <p>Build 3D models from 2D plans/nets</p> Signup and view all the answers

    What is the formula used to calculate the actual distance from a map measurement?

    <p>Actual distance = Map measurement × Scale factor</p> Signup and view all the answers

    What skill is required when using a street map to navigate a city?

    <p>Identifying locations using symbols</p> Signup and view all the answers

    What is the process involved in building 3D models from 2D plans/nets?

    <p>Cut out the 2D net from the provided plans and fold along the indicated lines</p> Signup and view all the answers

    What is the purpose of creating a 2D net of a 3D model?

    <p>To facilitate the movement between 2D and 3D representations of objects</p> Signup and view all the answers

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

    <p>To estimate actual distances when a distance table is not provided</p> Signup and view all the answers

    What is the key concept that involves understanding how to describe the item/object shown on the design plan?

    <p>Describe the Item/Object</p> Signup and view all the answers

    What type of map is used to show the positions of houses within a small housing complex?

    <p>Housing complex map</p> Signup and view all the answers

    What is the second type of scale calculation required in map work?

    <p>Converting actual distances to map measurements</p> Signup and view all the answers

    What is the key concept required when working with maps that involves using a grid reference system?

    <p>Using a grid reference system with the street index</p> Signup and view all the answers

    What is the primary purpose of creating a 2D net of a 3D model?

    <p>To visualize the faces and edges of the 3D model</p> Signup and view all the answers

    What is the key concept that involves understanding how to take a flat, 2D drawing and fold it to create a 3D object?

    <p>Drawing 2D plans/nets</p> Signup and view all the answers

    What is the purpose of estimating the quantities of materials needed for the assembly?

    <p>To ensure that all necessary materials are available</p> Signup and view all the answers

    What is the primary purpose of using mathematical tools and techniques in the assembly process?

    <p>To measure materials accurately</p> Signup and view all the answers

    What is the outcome of correctly following the steps to assemble components?

    <p>The assembly process is completed successfully</p> Signup and view all the answers

    What is the importance of understanding instructions in the assembly process?

    <p>To identify all components and tools required</p> Signup and view all the answers

    What is the primary purpose of regularly checking the assembled parts against the instructions or plans?

    <p>To make adjustments as necessary to correct any mistakes</p> Signup and view all the answers

    Why is it essential to follow the assembly steps in the correct sequence?

    <p>To avoid errors and ensure that the components fit together properly</p> Signup and view all the answers

    What is the definition of a simple event in probability?

    <p>An event that involves a single occurrence or trial</p> Signup and view all the answers

    What is the formula for calculating the probability of a simple event?

    <p>P(event) = number of ways in which an event can happen / total number of possible outcomes</p> Signup and view all the answers

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

    <p>Number scale expresses a specific relationship between the size of the area on the map and the actual size of that area, while bar scale shows the relationship between measured length and actual distance</p> Signup and view all the answers

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

    <p>To estimate the distance between two points</p> Signup and view all the answers

    What is the formula to convert the actual distance to the map measurement?

    <p>Map measurement = Actual distance / Scale factor</p> Signup and view all the answers

    What happens to a number scale when a map is resized?

    <p>The number scale becomes invalid</p> Signup and view all the answers

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

    <p>A bar scale remains valid even when the map is resized</p> Signup and view all the answers

    What is the purpose of a floor plan?

    <p>To show the 2-dimensional perspective of a building or structure as seen from above</p> Signup and view all the answers

    What is the difference between Calculation Type 1 and Calculation Type 2?

    <p>Calculation Type 1 is used to calculate the actual distance, while Calculation Type 2 is used to calculate the map measurement</p> Signup and view all the answers

    Why is it only possible to estimate distances on a map using a scale and not to determine distances accurately?

    <p>Because many factors, including accurate measurement, can affect the accuracy of a distance calculation on a map</p> Signup and view all the answers

    What is the relationship between the size of the area on the map and the actual size of that area in a number scale?

    <p>The size of the area on the map is a specific ratio of the actual size of that area</p> Signup and view all the answers

    What is the purpose of using the scale on a map to estimate distances?

    <p>To estimate the distance between two points, taking into account the many factors that can affect the accuracy of a distance calculation</p> Signup and view all the answers

    What is the primary purpose of using tree diagrams in compound events?

    <p>To visualize and list all possible outcomes of events</p> Signup and view all the answers

    What is the difference between a probability value and a guarantee?

    <p>A probability value is a prediction, while a guarantee is a certainty</p> Signup and view all the answers

    What is the purpose of expressing probability values in different formats?

    <p>To provide easier interpretation and understanding</p> Signup and view all the answers

    What is the primary goal of understanding the distinction between simple and compound events?

    <p>To accurately determine and interpret probability values</p> Signup and view all the answers

    What is the characteristic of a probability value?

    <p>It is a prediction</p> Signup and view all the answers

    What is the purpose of using two-way tables in compound events?

    <p>To determine probability values and make predictions</p> Signup and view all the answers

    What is the formula for calculating the probability of a simple event?

    <p>P(event) = number of ways in which an event can happen / total number of possible outcomes</p> Signup and view all the answers

    What is the purpose of historical trends in probability predictions?

    <p>To predict future events based on past data</p> Signup and view all the answers

    What is the definition of a compound event?

    <p>An event that involves more than one occurrence or trial</p> Signup and view all the answers

    What is the primary advantage of using percentage format in probability values?

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

    What is the primary purpose of checking the venue of an event?

    <p>To plan accordingly</p> Signup and view all the answers

    What is the formula to convert minutes to hours?

    <p>Hours = Minutes / 60</p> Signup and view all the answers

    What is the purpose of measuring time in real-life contexts?

    <p>To plan and organize activities effectively</p> Signup and view all the answers

    What is the primary purpose of understanding units of measurement?

    <p>To recognize standard units of measurement</p> Signup and view all the answers

    What is the purpose of using thermometers in measuring techniques?

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

    What is the purpose of estimating quantities in real-life contexts?

    <p>To make reasonable estimates when exact measurement is not possible</p> Signup and view all the answers

    What is the primary purpose of using significant figures in measurement?

    <p>To reflect the precision of the data</p> Signup and view all the answers

    What is the purpose of accounting for potential errors in measurement?

    <p>To understand and account for potential errors</p> Signup and view all the answers

    What is the primary purpose of identifying the quantity to be measured or estimated?

    <p>To determine the type of measurement or estimation required</p> Signup and view all the answers

    What is the purpose of using benchmarks in estimation techniques?

    <p>To use known reference points or benchmarks</p> Signup and view all the answers

    What is the point of intersection on a graph?

    <p>The point where two graphs have the same value</p> Signup and view all the answers

    What is the purpose of drawing graphs of unfamiliar situations?

    <p>To make sense of the situation and reveal patterns and trends</p> Signup and view all the answers

    What is the trial and improvement method used for?

    <p>To determine the values at which two relationships are equal</p> Signup and view all the answers

    What is the importance of understanding intersection points?

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

    What is the conversion factor to convert weight from kilograms to pounds?

    <p>2.206</p> Signup and view all the answers

    What is the formula to convert temperature from Celsius to Fahrenheit?

    <p>°F = (1.8 × °C) + 32</p> Signup and view all the answers

    What is the purpose of converting between solid and liquid quantities?

    <p>To perform conversions in various contexts such as baking and construction</p> Signup and view all the answers

    What is the first step in estimating the point of intersection from a graph?

    <p>Identify the two graphs</p> Signup and view all the answers

    What is the result of continuing to adjust the values and substituting them into the equations in the trial and improvement method?

    <p>Finding a pair of values that produce the same result in both equations</p> Signup and view all the answers

    What do intersection points provide insights into?

    <p>Where different systems or scenarios yield the same results</p> Signup and view all the answers

    What is the correct formula to convert weight from grams to volume in milliliters?

    <p>Volume (ml) = (Weight (g) / Conversion Factor) x Conversion Factor for Volume</p> Signup and view all the answers

    What is the step to calculate the total liters of paint needed, given the surface area and spread rate?

    <p>Divide the surface area by the spread rate</p> Signup and view all the answers

    What is the correct formula to convert time from minutes to seconds?

    <p>Seconds = Minutes x 60</p> Signup and view all the answers

    What is the purpose of breaking down time values into hours, minutes, and seconds when calculating time differences?

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

    What is the key concept when using a timetable?

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

    What is the advantage of converting time recording values into a single unit?

    <p>It makes the calculation easier to perform</p> Signup and view all the answers

    What is the purpose of using conversion factors in converting between units?

    <p>To ensure the correct conversion between units</p> Signup and view all the answers

    What is the formula to convert volume from cubic units to liters?

    <p>Volume (l) = Volume (m³) x 1000</p> Signup and view all the answers

    What is the importance of double-checking calculations when performing conversions?

    <p>It ensures the calculation is accurate</p> Signup and view all the answers

    What is the key concept when converting between units?

    <p>Using the correct conversion factor</p> Signup and view all the answers

    What is the main difference between a simple event and a compound event?

    <p>Simple events have a single outcome, while compound events have multiple outcomes.</p> Signup and view all the answers

    What is the purpose of using a tree diagram in compound events?

    <p>To visualize and list all possible outcomes of events.</p> Signup and view all the answers

    What is the characteristic of a probability value?

    <p>It is a prediction, not a guarantee.</p> Signup and view all the answers

    What is the purpose of expressing probability values in different formats?

    <p>To make the probability values easier to understand and compare.</p> Signup and view all the answers

    What is the key concept of a constant ratio relationship?

    <p>A graph that becomes steeper at an increasing rate.</p> Signup and view all the answers

    What is the primary purpose of using two-way tables in compound events?

    <p>To organize and analyze data to make predictions.</p> Signup and view all the answers

    What is the difference between a probability value and a guarantee?

    <p>A probability value is a prediction, while a guarantee is a rule.</p> Signup and view all the answers

    What is the purpose of historical trends in probability predictions?

    <p>To determine the probability of an event based on past data.</p> Signup and view all the answers

    What is the primary advantage of using probability values in predictions?

    <p>They allow for informed decisions based on likelihood.</p> Signup and view all the answers

    What is the importance of understanding uncertainty in prediction?

    <p>It is important, as probability values are predictions, not guarantees.</p> Signup and view all the answers

    What is the characteristic of a constant ratio relationship?

    <p>The value increases at an increasing rate</p> Signup and view all the answers

    What is represented by a flat portion in a graph?

    <p>A fixed fee that does not change with usage</p> Signup and view all the answers

    What type of relationship is characterized by a graph that looks like a series of steps?

    <p>Step-function relationship</p> Signup and view all the answers

    What skill is required to draw and interpret graphs for any situation?

    <p>Ability to draw and interpret graphs</p> Signup and view all the answers

    What type of relationship occurs when different fees or values are charged for different time intervals?

    <p>Step-function relationship</p> Signup and view all the answers

    What is the formula for calculating the surface area of a rectangular box?

    <p>SA = 2lw + 2lh + 2wh</p> Signup and view all the answers

    What is the purpose of drawing graphs of unfamiliar situations?

    <p>To make sense of the situation and reveal patterns and trends</p> Signup and view all the answers

    What is the unit of measurement for volume?

    <p>Cubic units (e.g., mm³, cm³, m³)</p> Signup and view all the answers

    What is the conversion ratio between cubic meters and liters?

    <p>1 m³ = 1000 L</p> Signup and view all the answers

    What is represented by an increasing portion in a graph?

    <p>Additional charges that increase linearly with usage</p> Signup and view all the answers

    What is characterized by a graph that is not a straight line but becomes steeper at an increasing rate?

    <p>Constant ratio relationship</p> Signup and view all the answers

    What is the formula for calculating the volume of a rectangular box?

    <p>V = l × w × h</p> Signup and view all the answers

    What is the formula for calculating the surface area of a cylinder?

    <p>SA = 2πr² + 2πrh</p> Signup and view all the answers

    What skill is required to recognize and understand the implications of different relationships?

    <p>Ability to recognize relationships</p> Signup and view all the answers

    What is the purpose of recognizing and understanding the implications of different relationships?

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

    Why is it necessary to convert between units when performing surface area and volume calculations?

    <p>To convert between different units of measurement</p> Signup and view all the answers

    What is the purpose of the formula V = ah, where a is the area of the base and h is the height?

    <p>To calculate the volume of a rectangular-based container</p> Signup and view all the answers

    What is the importance of understanding the difference between surface area and volume?

    <p>To apply mathematical concepts to real-world problems</p> Signup and view all the answers

    What is the conversion ratio between cubic centimeters and milliliters?

    <p>1 cm³ = 1 mL</p> Signup and view all the answers

    What is the purpose of recording measurements or estimations with the correct units and precision?

    <p>To ensure accuracy in calculations</p> Signup and view all the answers

    What is the primary purpose of using a national road map in South Africa?

    <p>To identify locations of major roads and distances between cities and towns.</p> Signup and view all the answers

    What is the advantage of using a strip chart when planning a road trip?

    <p>It is a more detailed map of a specific route.</p> Signup and view all the answers

    What is the primary skill required when using a street map to navigate a city?

    <p>Identifying locations using symbols.</p> Signup and view all the answers

    What is the formula to calculate the actual distance from a map measurement?

    <p>Actual distance = Map measurement × Scale factor</p> Signup and view all the answers

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

    <p>To estimate distances between locations.</p> Signup and view all the answers

    What type of map is used to show the positions of houses within a small housing complex?

    <p>Housing complex map</p> Signup and view all the answers

    What is the primary skill required when using a housing complex map?

    <p>Following and describing directions to a specific location.</p> Signup and view all the answers

    What is the second type of scale calculation required in map work?

    <p>Actual distance to map measurement.</p> Signup and view all the answers

    What is the purpose of a scale on a map?

    <p>To enable the user to estimate traveling distances accurately</p> Signup and view all the answers

    What happens to a bar scale if the size of the map is changed?

    <p>It changes proportionately</p> Signup and view all the answers

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

    <p>A number scale shows a specific relationship between size, while a bar scale shows a specific relationship between measured length and actual distance</p> Signup and view all the answers

    What type of calculation is required to determine the actual distance from a map measurement?

    <p>Multiplication by the scale factor</p> Signup and view all the answers

    What is the purpose of a floor plan?

    <p>To show the layout of a building as seen from above</p> Signup and view all the answers

    Why can't we determine exact distances on a map?

    <p>Because many factors can affect the accuracy of a distance calculation on a map</p> Signup and view all the answers

    What is the formula to convert the map measurement to the actual distance?

    <p>Actual distance = Map measurement x Scale factor</p> Signup and view all the answers

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

    <p>A number scale shows a specific relationship between size, while a bar scale shows a specific relationship between measured length and actual distance</p> Signup and view all the answers

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

    <p>A bar scale remains accurate even if the map is resized</p> Signup and view all the answers

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

    <p>To enable the user to estimate traveling distances accurately</p> Signup and view all the answers

    What is the primary purpose of drawing 2D plans or nets?

    <p>To visualize the faces and edges of a 3D model</p> Signup and view all the answers

    What is the key concept involved in assembling components?

    <p>Understanding instructions</p> Signup and view all the answers

    What is the purpose of using mathematical tools and techniques in the assembly process?

    <p>To measure materials accurately</p> Signup and view all the answers

    What is the outcome of correctly following the steps to assemble components?

    <p>A 3D model</p> Signup and view all the answers

    What is the primary purpose of estimating the quantities of materials needed for the assembly?

    <p>To ensure that all materials are available</p> Signup and view all the answers

    What is the purpose of regularly checking the assembled parts against the instructions or plans?

    <p>To make adjustments as needed</p> Signup and view all the answers

    What is the formula for calculating the probability of a simple event?

    <p>P(event) = number of ways in which an event can happen / total number of possible outcomes</p> Signup and view all the answers

    What is a characteristic of a probability value?

    <p>It is a prediction</p> Signup and view all the answers

    What is the purpose of using a probability value?

    <p>To make a prediction</p> Signup and view all the answers

    Why is it essential to follow the assembly steps in the correct sequence?

    <p>To ensure that components fit together properly</p> Signup and view all the answers

    What is the purpose of using tree diagrams in compound events?

    <p>To list all possible outcomes and determine their probabilities.</p> Signup and view all the answers

    What is the difference between a simple event and a compound event?

    <p>A simple event involves a single occurrence, while a compound event involves multiple trials.</p> Signup and view all the answers

    What is the purpose of expressing probability values in different formats?

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

    What is the primary goal of understanding the distinction between simple and compound events?

    <p>To accurately determine and interpret probability values.</p> Signup and view all the answers

    What is the purpose of using two-way tables in compound events?

    <p>To make predictions and determine probability values.</p> Signup and view all the answers

    What is a characteristic of a probability value?

    <p>It is a prediction of an event occurring.</p> Signup and view all the answers

    What is the formula for calculating the probability of a simple event?

    <p>P(event) = number of ways an event can happen / total number of possible outcomes.</p> Signup and view all the answers

    What is the purpose of using historical trends in probability predictions?

    <p>To predict future events based on past trends.</p> Signup and view all the answers

    What is the primary advantage of using two-way tables in compound events?

    <p>They provide a clear comparison of two variables.</p> Signup and view all the answers

    What is the difference between a probability value and a guarantee?

    <p>A probability value is a prediction, while a guarantee is a measurement.</p> Signup and view all the answers

    What is the main purpose of a design drawing?

    <p>To show the design, layout, and components of an item to be constructed or manufactured</p> Signup and view all the answers

    What is the key concept for working with plans that involves understanding compass directions?

    <p>Understand Compass Directions</p> Signup and view all the answers

    What is the formula used to calculate the plan measure from an actual dimension?

    <p>Plan Measure = Actual Dimension ÷ Scale Factor</p> Signup and view all the answers

    What is the primary purpose of the section on drawing scaled plans?

    <p>To facilitate the movement between 2D and 3D representations of objects</p> Signup and view all the answers

    What is the key concept that involves understanding how to take a flat, 2D drawing and fold it to create a 3D object?

    <p>Building 3D models from 2D plans/nets</p> Signup and view all the answers

    What is the process involved in building 3D models from 2D plans/nets?

    <p>Cut out the 2D net from the provided plans, and fold along the indicated lines to form the edges and faces of the 3D object</p> Signup and view all the answers

    What is the purpose of creating a 2D net of a 3D model?

    <p>To facilitate the movement between 2D and 3D representations of objects</p> Signup and view all the answers

    What is the primary purpose of using a floor plan?

    <p>To show the internal layout of a building</p> Signup and view all the answers

    What is the function of an elevation plan?

    <p>To show the external dimensions of a building</p> Signup and view all the answers

    What is the key concept for working with plans that involves identifying various elements like rooms, windows, and doors on the plan?

    <p>Describe Features of a Building/Structure</p> Signup and view all the answers

    What is the unit of measurement for surface area?

    <p>Square units</p> Signup and view all the answers

    What is the formula for calculating the surface area of a rectangular box?

    <p>SA = 2lw + 2lh + 2wh</p> Signup and view all the answers

    What is the purpose of converting between units when performing surface area and volume calculations?

    <p>To convert between different units of measurement</p> Signup and view all the answers

    What is the formula for calculating the volume of a rectangular box?

    <p>V = lwh</p> Signup and view all the answers

    What is the relationship between 1 cubic meter and 1 liter?

    <p>1 cubic meter is equal to 1000 liters</p> Signup and view all the answers

    What is the purpose of using the formula V = πr²h when calculating the volume of a cylindrical container?

    <p>To calculate the volume of a cylindrical container</p> Signup and view all the answers

    What is the conversion ratio between 1 cubic meter and 1 cubic centimeter?

    <p>1 cubic meter is equal to 1,000,000 cubic centimeters</p> Signup and view all the answers

    What is the importance of understanding the concept of converting between units when performing surface area and volume calculations?

    <p>It is necessary for accurate calculations in real-world contexts</p> Signup and view all the answers

    What is the formula for calculating the surface area of a cylinder with a lid and base?

    <p>SA = 2πr² + 2πrh</p> Signup and view all the answers

    What is the purpose of recording measurements or estimations in surface area and volume calculations?

    <p>To ensure accuracy and reflect the appropriate level of precision</p> Signup and view all the answers

    What is the formula to convert volume in grams to milliliters?

    <p>Volume (ml) = (Weight (g) / Conversion Factor) × Conversion Factor for Volume</p> Signup and view all the answers

    How do you calculate the total liters of paint needed?

    <p>Paint Needed (liters) = Surface Area (m²) / Spread Rate (m²/liter)</p> Signup and view all the answers

    What is the first step to convert time values from hours, minutes, and seconds to a single unit?

    <p>Convert hours to seconds</p> Signup and view all the answers

    What is the purpose of a timetable?

    <p>To identify the week and dates of the events</p> Signup and view all the answers

    What is the formula to convert the volume in cubic units to liters?

    <p>Volume (l) = Volume (m³) × 1,000</p> Signup and view all the answers

    What is the key concept when converting between complex units?

    <p>Convert units step-by-step</p> Signup and view all the answers

    What is the purpose of double-checking your calculations?

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

    What is the formula to convert the volume in cubic centimeters to milliliters?

    <p>Volume (ml) = Volume (cm³) × 1</p> Signup and view all the answers

    What is the importance of understanding the context of the conversion?

    <p>It helps to identify the correct conversion factor</p> Signup and view all the answers

    What is the purpose of converting minutes to seconds?

    <p>To understand stopwatch values and other time recordings</p> Signup and view all the answers

    What is the purpose of converting time values from hours, minutes, and seconds to a single unit?

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

    What is the formula to convert hours to seconds?

    <p>Seconds = Hours × 3600</p> Signup and view all the answers

    What is the primary advantage of using tree diagrams in compound events?

    <p>They help to list all possible outcomes and determine their probabilities.</p> Signup and view all the answers

    What is the purpose of calculating time differences?

    <p>To determine the time elapsed between events accurately</p> Signup and view all the answers

    What is the characteristic of a probability value?

    <p>It is a prediction of an event occurring.</p> Signup and view all the answers

    What is the skill required to measure length, area, and volume?

    <p>Measuring techniques</p> Signup and view all the answers

    What is the purpose of using two-way tables in compound events?

    <p>To make predictions about outcomes in situations involving multiple trials or occurrences.</p> Signup and view all the answers

    What is the purpose of using benchmarks in estimation?

    <p>To make reasonable estimates of quantities when exact measurement is not possible</p> Signup and view all the answers

    What is the formula for calculating the probability of a simple event?

    <p>P(event) = number of ways in which an event can happen / total number of possible outcomes</p> Signup and view all the answers

    What is the step involved in measuring and estimating?

    <p>Identify the quantity to be measured or estimated, choose the appropriate tool or method, and perform the measurement or estimation</p> Signup and view all the answers

    What is the purpose of expressing probability values in different formats?

    <p>To make it easier to compare and interpret probability values.</p> Signup and view all the answers

    What is the purpose of using significant figures in measurement and calculation?

    <p>To reflect the precision of the data</p> Signup and view all the answers

    What is an example of a compound event?

    <p>A car insurance rate prediction.</p> Signup and view all the answers

    What is the purpose of error analysis in measurement?

    <p>To understand and account for potential errors in measurement, including human error and instrument error</p> Signup and view all the answers

    What is the primary difference between simple and compound events?

    <p>Simple events involve a single occurrence or trial, while compound events involve more than one occurrence or trial.</p> Signup and view all the answers

    What is the purpose of scaling in maps, diagrams, and models?

    <p>To represent real-life objects or distances</p> Signup and view all the answers

    What is the characteristic of a constant ratio relationship?

    <p>The value increases at an increasing rate.</p> Signup and view all the answers

    What is the purpose of using historical trends in probability predictions?

    <p>To make predictions about future events based on past trends.</p> Signup and view all the answers

    What is the purpose of calculating the perimeter, area, and volume of various shapes and objects?

    <p>To apply formulas to calculate the perimeter, area, and volume of various shapes and objects</p> Signup and view all the answers

    What is the outcome of not following the assembly steps in the correct sequence?

    <p>The assembled parts will be incorrect.</p> Signup and view all the answers

    What is the characteristic of a graph that represents a step-function relationship?

    <p>A series of steps</p> Signup and view all the answers

    What is the purpose of drawing graphs of unfamiliar situations?

    <p>To make sense of the situation and reveal patterns and trends</p> Signup and view all the answers

    What is the characteristic of a constant ratio relationship?

    <p>A curved line that becomes steeper at an increasing rate</p> Signup and view all the answers

    What is the purpose of a flat portion in a graph?

    <p>To represent a fixed fee that does not change with usage</p> Signup and view all the answers

    What is the purpose of an increasing portion in a graph?

    <p>To represent additional charges that increase linearly with usage</p> Signup and view all the answers

    What is the characteristic of a step-function relationship in terms of fees?

    <p>Different fees are charged for different time intervals, but within each interval, the same fee applies</p> Signup and view all the answers

    What is the purpose of recognizing and understanding the implications of constant ratio relationships, combination relationships, and step-function relationships?

    <p>To help learners understand and analyze real-world situations</p> Signup and view all the answers

    What is the characteristic of a combination of relationships in a graph?

    <p>A combination of different types of relationships within the same graph</p> Signup and view all the answers

    What is the purpose of drawing and interpreting graphs?

    <p>To make sense of the situation and reveal patterns and trends</p> Signup and view all the answers

    What is the skill required to analyze and interpret graphs?

    <p>Recognizing and understanding the implications of different types of relationships</p> Signup and view all the answers

    What is the purpose of drawing graphs of unfamiliar situations?

    <p>To make sense of the situation and reveal patterns and trends</p> Signup and view all the answers

    What is the name of the point where two graphs intersect?

    <p>Point of intersection</p> Signup and view all the answers

    What is the process of trial and improvement used for?

    <p>To determine the values at which two relationships are equal</p> Signup and view all the answers

    What is the importance of understanding intersection points?

    <p>To analyze and interpret data, make decisions, and understand how changes in one variable affect the outcome</p> Signup and view all the answers

    What is the formula to convert weight from kilograms to pounds?

    <p>Weight (pounds) = Weight (kg) × 2.206</p> Signup and view all the answers

    What is the purpose of conversions between solid and liquid quantities?

    <p>Essential in various contexts such as baking and construction</p> Signup and view all the answers

    What is the formula to convert temperature from Celsius to Fahrenheit?

    <p>°F = (1.8 × °C) + 32</p> Signup and view all the answers

    What is the name of the method used to determine the values at which two relationships are equal?

    <p>Trial and improvement method</p> Signup and view all the answers

    What is the purpose of identifying the two graphs when estimating the point of intersection?

    <p>To ensure you understand what each graph represents</p> Signup and view all the answers

    What is the result of correctly following the steps to estimate the point of intersection?

    <p>Finding the point where the two graphs intersect</p> Signup and view all the answers

    What is the main purpose of using a national road map in South Africa?

    <p>To plan stopping points for accommodation, breaks, or refuelling</p> Signup and view all the answers

    What is the formula to calculate the actual distance from a map measurement?

    <p>Actual distance = Map measurement × Scale factor</p> Signup and view all the answers

    What is the primary skill required when using a street map to navigate a city?

    <p>Identifying locations using symbols</p> Signup and view all the answers

    What is the main purpose of using a strip chart?

    <p>To determine more accurate traveling distances on specific sections of a route</p> Signup and view all the answers

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

    <p>It allows for more accurate traveling distances</p> Signup and view all the answers

    What is the formula to calculate the map measurement from an actual distance?

    <p>Map measurement = Actual distance / Scale factor</p> Signup and view all the answers

    What is the main skill required when using a housing complex map?

    <p>Working with a map that shows a small area with limited detail</p> Signup and view all the answers

    What is the primary purpose of using a scale on a map when a distance table or distance markers are not provided?

    <p>To estimate traveling distances</p> Signup and view all the answers

    What is the purpose of a scale on a map?

    <p>To estimate traveling distances</p> Signup and view all the answers

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

    <p>A number scale shows a specific relationship in size, while a bar scale shows a measured length</p> Signup and view all the answers

    What is the formula to convert an actual distance to a map measurement?

    <p>Map measurement = Actual distance ÷ Scale factor</p> Signup and view all the answers

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

    <p>A bar scale remains accurate even when the map is resized</p> Signup and view all the answers

    What is the purpose of a floor plan?

    <p>To show a 2-dimensional perspective of a building or structure as seen from above</p> Signup and view all the answers

    What is the formula to convert a map measurement to an actual distance?

    <p>Actual distance = Map measurement × Scale factor</p> Signup and view all the answers

    What is the limitation of using a scale to estimate distances on a map?

    <p>It can only estimate distances, not determine them accurately</p> Signup and view all the answers

    What is the purpose of Calculation Type 1?

    <p>To convert a map measurement to an actual distance</p> Signup and view all the answers

    What happens to a number scale when a map is resized?

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

    What is the primary purpose of understanding scales on a map?

    <p>To estimate traveling distances</p> Signup and view all the answers

    What is the primary purpose of creating a 2D net of a 3D model?

    <p>To create a flat layout of the 3D model</p> Signup and view all the answers

    What is the key skill required when using a map?

    <p>Navigating a city</p> Signup and view all the answers

    What is the purpose of estimating the quantities of materials needed for the assembly?

    <p>To calculate the cost of materials</p> Signup and view all the answers

    What is the importance of understanding instructions in the assembly process?

    <p>To identify all components and tools required</p> Signup and view all the answers

    What is the key concept in probability that involves a single occurrence or trial?

    <p>Simple events</p> Signup and view all the answers

    What is the purpose of regularly checking the assembled parts against the instructions or plans?

    <p>To ensure accuracy and make adjustments as needed</p> Signup and view all the answers

    What is the formula for calculating the probability of a simple event?

    <p>P(event) = number of ways in which an event can happen / total number of possible outcomes</p> Signup and view all the answers

    What is the primary purpose of using mathematical tools and techniques in the assembly process?

    <p>To measure materials accurately</p> Signup and view all the answers

    What is the outcome of correctly following the steps to assemble components?

    <p>A complete and accurate assembly</p> Signup and view all the answers

    What is the primary purpose of drawing 2D plans or nets?

    <p>To visualize the faces and edges of a 3D model</p> Signup and view all the answers

    What is the primary purpose of a design drawing?

    <p>To see what a completed item will look like and the dimensions of its parts</p> Signup and view all the answers

    What is the key concept that involves understanding how to take a flat, 2D drawing and fold it to create a 3D object?

    <p>Building 3D models from 2D plans/nets</p> Signup and view all the answers

    What is the function of an elevation plan?

    <p>Shows a 2-dimensional perspective of a building or structure as seen from the side</p> Signup and view all the answers

    What is the primary purpose of creating a 2D net of a 3D model?

    <p>To facilitate the movement between 2D and 3D representations of objects</p> Signup and view all the answers

    What is the formula used to calculate the plan measure from an actual dimension?

    <p>Plan Measure = Actual Dimension ÷ Scale Factor</p> Signup and view all the answers

    What is the key concept that involves identifying various elements like rooms, windows, and doors on the plan?

    <p>Describe features of a building/structure</p> Signup and view all the answers

    What is the primary purpose of the section on drawing scaled plans?

    <p>To facilitate the movement between 2D and 3D representations of objects</p> Signup and view all the answers

    What is the process involved in building 3D models from 2D plans/nets?

    <p>Cut out the 2D net from the provided plans, fold along the indicated lines to form the edges and faces of the 3D object</p> Signup and view all the answers

    What is the key skill required to build 3D models from 2D plans/nets?

    <p>Understanding 2D plans/nets</p> Signup and view all the answers

    What is the primary purpose of understanding the distinction between simple and compound events?

    <p>Not mentioned in the content</p> Signup and view all the answers

    What is the primary distinction between simple and compound events?

    <p>The complexity of the probability calculation</p> Signup and view all the answers

    What is the purpose of using tree diagrams in compound events?

    <p>To list all possible outcomes and determine their probabilities</p> Signup and view all the answers

    What is the characteristic of a probability value?

    <p>It is a prediction of the likelihood of the outcome</p> Signup and view all the answers

    What is the purpose of expressing probability values in different formats?

    <p>To make the probability value easier to interpret</p> Signup and view all the answers

    What is the primary goal of understanding simple and compound events?

    <p>To accurately determine and interpret probability values</p> Signup and view all the answers

    What is the purpose of using two-way tables in compound events?

    <p>To compare two different variables and make predictions</p> Signup and view all the answers

    What is the formula for calculating the probability of a simple event?

    <p>P(event) = number of ways in which an event can happen / total number of possible outcomes</p> Signup and view all the answers

    What is the purpose of historical trends in probability predictions?

    <p>To predict the likelihood of a future event based on past trends</p> Signup and view all the answers

    What is the primary difference between a probability value and a guarantee?

    <p>A probability value is a prediction, while a guarantee is a certainty</p> Signup and view all the answers

    What is the primary advantage of using two-way tables in compound events?

    <p>They are useful for determining probability values and making predictions</p> Signup and view all the answers

    What is the characteristic of a step-function relationship?

    <p>A graph that looks like a series of steps.</p> Signup and view all the answers

    What is the purpose of drawing graphs of unfamiliar situations?

    <p>To make sense of the situation and reveal patterns and trends.</p> Signup and view all the answers

    What is an example of a combination of relationships in a graph?

    <p>A cell phone contract with a fixed monthly subscription fee and additional charges for call minutes.</p> Signup and view all the answers

    What is the characteristic of a constant ratio relationship?

    <p>A graph that becomes steeper at an increasing rate.</p> Signup and view all the answers

    What does the increasing portion of a graph represent?

    <p>Additional charges that increase linearly with usage.</p> Signup and view all the answers

    What is the purpose of recognizing and understanding the implications of different relationships in graphs?

    <p>To be able to interpret and analyze the meaning of different portions of a graph in the context of real-world situations.</p> Signup and view all the answers

    What does the flat portion of a graph represent?

    <p>A fixed fee that does not change with usage.</p> Signup and view all the answers

    What is the characteristic of a step-function relationship in a graph?

    <p>A graph that looks like a series of steps.</p> Signup and view all the answers

    What is the importance of being able to draw and interpret graphs for any situation?

    <p>To be able to make sense of unfamiliar situations and reveal patterns and trends.</p> Signup and view all the answers

    What is the result of a constant ratio relationship in a graph?

    <p>A graph that becomes steeper at an increasing rate.</p> Signup and view all the answers

    What is the key difference between simple and compound events in probability?

    <p>Simple events involve a single occurrence, while compound events involve more than one occurrence.</p> Signup and view all the answers

    What is the purpose of using tree diagrams in compound events?

    <p>To map out all possible outcomes of events and determine their probabilities</p> Signup and view all the answers

    What is the characteristic of a constant ratio relationship?

    <p>The value is increasing at an increasing rate</p> Signup and view all the answers

    What is the purpose of expressing probability values in different formats?

    <p>To make the values easier to compare and interpret</p> Signup and view all the answers

    What is the key concept in understanding uncertainty in prediction?

    <p>Probability values predict the likelihood of events, but do not guarantee outcomes</p> Signup and view all the answers

    What is the purpose of using two-way tables in compound events?

    <p>To determine probability values and make predictions</p> Signup and view all the answers

    What is the formula for calculating the probability of a simple event?

    <p>P(event) = number of ways in which an event can happen / total number of possible outcomes</p> Signup and view all the answers

    What is the purpose of using historical trends in probability predictions?

    <p>To determine the probability of an event based on past data</p> Signup and view all the answers

    What is the key concept in understanding simple events?

    <p>Simple events involve a single occurrence</p> Signup and view all the answers

    What is the characteristic of a probability value?

    <p>It is a prediction of the likelihood of an event</p> Signup and view all the answers

    What is the total area of all the surfaces of a 3-dimensional object known as?

    <p>Surface area</p> Signup and view all the answers

    What is the formula for the surface area of a rectangular box?

    <p>SA = 2lw + 2lh + 2wh</p> Signup and view all the answers

    What is the unit of measurement for volume?

    <p>Cubic units</p> Signup and view all the answers

    What is the conversion ratio between cubic meters and liters?

    <p>1 m^3 = 1000 l</p> Signup and view all the answers

    What is the correct way to convert 1 m^3 to cubic centimeters?

    <p>1 m^3 = 1,000,000 cm^3</p> Signup and view all the answers

    Why is it necessary to convert between units when performing surface area and volume calculations?

    <p>Because the measurements are often in different units</p> Signup and view all the answers

    What is the formula for the volume of a rectangular box?

    <p>V = lwh</p> Signup and view all the answers

    What is the formula for the surface area of a cylinder with a lid and base?

    <p>SA = 2πr^2 + 2πrh</p> Signup and view all the answers

    What is the conversion ratio between cubic centimeters and milliliters?

    <p>1 cm^3 = 1 ml</p> Signup and view all the answers

    Why is it important to understand the conversion between units when working with surface area and volume?

    <p>Because it's necessary to get accurate results</p> Signup and view all the answers

    What is the point of intersection in the context of comparing the cost of electricity on different systems?

    <p>The point where the cost of electricity is the same on both systems</p> Signup and view all the answers

    What is the purpose of using the trial and improvement method?

    <p>To determine the values at which two relationships are equal</p> Signup and view all the answers

    What is the importance of understanding intersection points?

    <p>To identify where different systems or scenarios yield the same results</p> Signup and view all the answers

    What is the conversion factor used to convert weight from kilograms to pounds?

    <p>2.206</p> Signup and view all the answers

    What is the formula to convert temperature from Celsius to Fahrenheit?

    <p>°F = (1.8 × °C) + 32</p> Signup and view all the answers

    What is the importance of converting between solid and liquid quantities?

    <p>It is essential in cooking and baking</p> Signup and view all the answers

    What is the purpose of drawing graphs of unfamiliar situations?

    <p>To make sense of the situation and reveal patterns and trends</p> Signup and view all the answers

    What is the characteristic of non-joined segments?

    <p>Moving from one interval to another results in a completely different fee</p> Signup and view all the answers

    What is the purpose of understanding the point of intersection in the context of comparing different systems or scenarios?

    <p>To identify where different systems or scenarios yield the same results</p> Signup and view all the answers

    What is the importance of identifying the two graphs when estimating the point of intersection?

    <p>It ensures that you understand what each graph represents</p> Signup and view all the answers

    What is the purpose of the plan 'Check the Venue' in event planning?

    <p>To find out where the event is taking place</p> Signup and view all the answers

    What is the formula to convert minutes to hours?

    <p>Hours = Minutes / 60</p> Signup and view all the answers

    What is the purpose of measuring time using clocks and stopwatches?

    <p>To measure time in seconds, minutes, and hours</p> Signup and view all the answers

    What is the purpose of estimation techniques in measurement?

    <p>To make reasonable estimates of quantities when exact measurement is not possible</p> Signup and view all the answers

    What is the primary purpose of using scaling in maps, diagrams, and models?

    <p>To represent real-life objects or distances</p> Signup and view all the answers

    What is the purpose of using significant figures in measurement and calculation?

    <p>To reflect the precision of the data</p> Signup and view all the answers

    What is the first step in measuring and estimating?

    <p>Identify the quantity to be measured or estimated</p> Signup and view all the answers

    What is the purpose of using benchmarks in estimation techniques?

    <p>To use known reference points to make estimations more accurate</p> Signup and view all the answers

    What is the purpose of using thermometers to measure temperature?

    <p>To measure temperature in degrees Celsius or Fahrenheit</p> Signup and view all the answers

    What is the purpose of converting between different units of measurement within the same system?

    <p>To convert between different units of measurement</p> Signup and view all the answers

    What is the conversion factor used to convert cubic meters to liters?

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

    What is the formula to calculate the total liters of paint needed based on the surface area and the spread rate of the paint?

    <p>Paint Needed (liters) = Surface Area (m²) / Spread Rate (m²/liter)</p> Signup and view all the answers

    What is the step to convert minutes to seconds?

    <p>Multiply the number of minutes by 60</p> Signup and view all the answers

    What is the formula to convert hours to seconds?

    <p>Seconds = Hours × 3600</p> Signup and view all the answers

    What is the step to calculate the total hours from hours, minutes, and seconds?

    <p>Convert hours and minutes to seconds, then add them together</p> Signup and view all the answers

    What is the purpose of breaking down the time values into hours, minutes, and seconds when calculating time differences?

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

    What is the primary purpose of using a timetable?

    <p>To schedule events</p> Signup and view all the answers

    What is the key concept when working with timetables?

    <p>Identifying the week and dates of the events</p> Signup and view all the answers

    What is the purpose of converting grams to milliliters?

    <p>To determine the volume of a substance</p> Signup and view all the answers

    What is the importance of using the correct conversion factor when performing conversions?

    <p>It ensures accuracy in the conversion</p> Signup and view all the answers

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