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

What is the main purpose of a national road map?

  • To provide detailed information on traffic rules and regulations
  • To show major routes, roads, and distances between major cities and towns (correct)
  • To display the positions and names of streets and other locations within a city
  • To show the locations of towns, other roads, and points of interest on a specific route

    • What is the primary use of a strip chart?

  • To estimate traveling costs and times on a street map
  • To plan stopping points for accommodation, breaks, or refuelling on a national road trip
  • To determine more accurate traveling distances on specific sections of a route (correct)
  • To identify locations using symbols on a city map

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

  • Actual distance = Map measurement - Scale factor
  • Actual distance = Map measurement + Scale factor
  • Actual distance = Map measurement ÷ Scale factor
  • Actual distance = Map measurement × Scale factor (correct)

    • What is the purpose of a housing complex map?

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

    What is the main skill required when using a street map?

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

    What is the purpose of a distance table?

    <p>To determine distances between major cities and towns</p> Signup and view all the answers

    What type of calculation is required when a distance table or distance markers are not provided on a map?

    <p>Calculation Type 1: Map Measurement to Actual Distance</p> Signup and view all the answers

    What is the primary use of a scale on a map?

    <p>To convert map measurements to actual distances</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 type of scale is expressed in the format 1:50,000?

    <p>Number scale</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 from above, without the roof</p> Signup and view all the answers

    If a map has a scale of 1:50,000, how many times smaller is the map compared to the actual size?

    <p>50,000 times</p> Signup and view all the answers

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

    <p>Bar scales remain accurate even when the map is resized</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 type of scale shows the relationship between a measured length and an actual distance?

    <p>Bar scale</p> Signup and view all the answers

    Why can't you determine distances accurately on a map using a scale?

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

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

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

    What is the purpose of a scale on a map?

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

    What is the primary purpose 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 see what a completed item will look like and the dimensions of its parts.</p> Signup and view all the answers

    What is the formula 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 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 a key concept for working with plans?

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

    What is a key concept for design drawings?

    <p>Describing the item or object shown on the design plan</p> Signup and view all the answers

    What is the purpose of building 3D models from 2D plans/nets?

    <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 the models section?

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

    What is a key skill for Grade 11 learners in the models section?

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

    What is the process of moving from a 2D drawing to constructing a 3D object?

    <p>Building 3D models</p> Signup and view all the answers

    Which of the following formats is the original form resulting from the calculation of a probability value?

    <p>Fraction Format</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 probability values</p> Signup and view all the answers

    What is the key concept in understanding probability values?

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

    Which of the following is an example of a simple event?

    <p>Weather forecasts</p> Signup and view all the answers

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

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

    Which of the following is a characteristic of a compound event?

    <p>Involves more than one occurrence or trial</p> Signup and view all the answers

    What is the result of multiplying a fraction by 100 in probability calculations?

    <p>Percentage format</p> Signup and view all the answers

    Which of the following is an example of a compound event?

    <p>Car insurance rates for different genders and age groups</p> Signup and view all the answers

    What is the purpose of observing historical trends in probability calculations?

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

    What is the formula to calculate 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 step-function relationship?

    <p>The graph has distinct steps indicating different fees for different time intervals.</p> Signup and view all the answers

    What type of relationship is represented by a graph that becomes steeper at an increasing rate?

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

    What is the purpose of drawing graphs in 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?

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

    What is the main difference between a step-function relationship and a constant ratio relationship?

    <p>The shape of the graph</p> Signup and view all the answers

    What is represented by the flat portion of a graph?

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

    What is an example of a constant ratio relationship?

    <p>A household's food purchases that increase at a rate of 7.4% per year</p> Signup and view all the answers

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

    <p>To make sense of real-world situations and reveal patterns and trends</p> Signup and view all the answers

    What is the purpose of drawing a graph for a situation with an unknown formula or pattern?

    <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 graph that represents a combination of relationships?

    <p>The graph has a flat portion representing a fixed fee and an increasing portion representing additional charges</p> Signup and view all the answers

    What is the primary purpose of identifying the point of intersection between two graphs?

    <p>To identify the point where the cost of electricity is the same</p> Signup and view all the answers

    What is the benefit of using the trial and improvement method to find the point of intersection?

    <p>It allows for estimation of the point of intersection</p> Signup and view all the answers

    What is the significance of understanding the intersection points and the regions around them?

    <p>It provides insights into 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 used 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 using conversion factors in measurements?

    <p>To ensure accurate conversions between units</p> Signup and view all the answers

    What is the benefit of drawing and interpreting graphs for unfamiliar situations?

    <p>It reveals patterns and trends that were not visible without the graph</p> Signup and view all the answers

    What is the term used to describe the point where two graphs intersect?

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

    What is the purpose of using the method of trial and improvement to find the point of intersection?

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

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

    <p>It indicates where the cost of electricity on the two systems is the same</p> Signup and view all the answers

    What is the primary step in assembling a 3D model?

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

    Which of the following is NOT a key concept in assembling components?

    <p>Calculating the probability of an event</p> Signup and view all the answers

    What is the primary limitation of probability values in prediction?

    <p>They do not guarantee outcomes.</p> Signup and view all the answers

    What is the purpose of measuring materials accurately?

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

    What is the formula to calculate 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 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 probability calculations?

    <p>To visualize the possible outcomes of a compound event.</p> Signup and view all the answers

    What is the primary purpose of estimating quantities and costs of materials?

    <p>To plan and budget for the assembly process</p> Signup and view all the answers

    What is the result of not following the assembly steps in sequence?

    <p>The components may not fit together properly</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 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 advantage of using a two-way table in probability calculations?

    <p>It enables the conversion of actual values to percentage probability values.</p> Signup and view all the answers

    What is the final step in assembling a 3D model?

    <p>Completing the assembly and double-checking all parts</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 application of probability values in advertisements?

    <p>To predict the likelihood of an event based on historical data.</p> Signup and view all the answers

    What is the formula to convert weight from grams to milliliters?

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

    What is the purpose of using mathematical tools and techniques in assembling components?

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

    What is the relationship between the probability value and the number of possible outcomes?

    <p>The probability value decreases as the number of possible outcomes increases.</p> Signup and view all the answers

    What is the result of not measuring materials accurately?

    <p>The components may not fit together properly</p> Signup and view all the answers

    What is the first step in calculating the amount of paint needed?

    <p>Identify the surface area to be painted</p> Signup and view all the answers

    What is the purpose of breaking down the conversion process into smaller steps?

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

    What is the primary difference between a flat portion and an increasing portion in a graph?

    <p>The flat portion represents a fixed fee, while the increasing portion represents a variable rate.</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 first step in calculating the difference between two time values?

    <p>Convert both times into a single unit</p> Signup and view all the answers

    What is the purpose of identifying the week and dates of the events on a timetable?

    <p>To identify the exact date and time of the event</p> Signup and view all the answers

    What is the formula to convert minutes to seconds?

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

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

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

    What is the formula to convert liters to milliliters?

    <p>Milliliters = Liters × 1000</p> Signup and view all the answers

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

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

    What is the primary purpose of understanding time conversions?

    <p>To plan and organize activities effectively</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 calculating time differences?

    <p>To find the time elapsed between events accurately</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 using timetables?

    <p>To extract key information to plan and organize activities effectively</p> Signup and view all the answers

    What is the formula to convert seconds to hours?

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

    What is the primary 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 primary purpose of measuring techniques?

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

    What is the primary 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 accuracy and precision?

    <p>To use significant figures correctly in measurement and calculation</p> Signup and view all the answers

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

    <p>62 cm^2</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 cm^3</p> Signup and view all the answers

    If a paint can covers 5 m^2 of surface area, how many litres of paint are needed to cover a wall with a surface area of 20 m^2?

    <p>80 litres</p> Signup and view all the answers

    What is the conversion factor to convert cubic centimetres to millilitres?

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

    If a rectangular box has a length of 10 cm, width of 5 cm, and height of 2 cm, what is the volume of the box in cubic millimetres?

    <p>100000 mm^3</p> Signup and view all the answers

    What is the surface area of a cylinder with a radius of 3 cm and a height of 6 cm?

    <p>90π cm^2</p> Signup and view all the answers

    If a cylindrical container has a volume of 200 cm^3, what is the height of the container if the radius of the base is 2 cm?

    <p>5 cm</p> Signup and view all the answers

    What is the conversion factor to convert cubic metres to litres?

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

    If a rectangular box has a surface area of 120 cm^2, what is the length of the box if the width is 4 cm and the height is 2 cm?

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

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

    <p>72000 mm^3</p> Signup and view all the answers

    What is the primary advantage of using a national road map over a strip chart?

    <p>It allows for the estimation of traveling costs and times over long distances.</p> Signup and view all the answers

    When using a street map, what is the most effective way to identify a specific location?

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

    What is the purpose of using a 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 is the primary 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 correct formula for converting a map measurement to an actual distance?

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

    When using a strip chart, what is the primary benefit of using distance markers and indicators?

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

    What is the primary advantage of using a scale on a map over a distance table?

    <p>It can be used when a distance table or distance markers are not provided.</p> Signup and view all the answers

    What is the primary purpose of using a street map over a national road map?

    <p>It provides more detailed information about a specific city or town.</p> Signup and view all the answers

    What is the main purpose of a floor plan?

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

    What is the function of an elevation plan?

    <p>To show the exterior design of a building</p> Signup and view all the answers

    What is the purpose of a design drawing?

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

    What is the key concept for working with plans?

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

    What is the formula 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 models section?

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

    What is a key skill for Grade 11 learners in the models section?

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

    What is the process of moving from a 2D drawing to constructing a 3D object?

    <p>Cutting out the 2D net and folding along the indicated lines</p> Signup and view all the answers

    What is a 2D net?

    <p>A flat layout that, when folded along specific lines, forms a 3D object</p> Signup and view all the answers

    What is the main purpose of building 3D models from 2D plans/nets?

    <p>To construct a 3D object from a 2D net</p> Signup and view all the answers

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

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

    Which of the following representations is used to list all possible outcomes of events and determine their probabilities?

    <p>Tree diagrams</p> Signup and view all the answers

    What is the result of multiplying a decimal format probability value by 100?

    <p>Percentage format</p> Signup and view all the answers

    What is the key concept in understanding probability values?

    <p>That they predict the likelihood of an event occurring</p> Signup and view all the answers

    Which of the following is an example of a compound event?

    <p>Rolling a die twice</p> Signup and view all the answers

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

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

    What is the primary purpose of drawing a 2D plan/net of a 3D model?

    <p>To visualize the model's faces and edges</p> Signup and view all the answers

    What is the formula to calculate 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

    Which of the following skills is essential when interpreting instructions for assembly?

    <p>Understanding the instructions and identifying all components and tools required</p> Signup and view all the answers

    What is the purpose of observing historical trends in probability calculations?

    <p>To understand the past patterns and make informed decisions</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 ensure accuracy and make adjustments as necessary</p> Signup and view all the answers

    Which of the following is a characteristic of a compound event?

    <p>Involves more than one occurrence or trial</p> Signup and view all the answers

    What is the formula used to calculate 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 use of tree diagrams in compound events?

    <p>To list all possible outcomes of events and determine their probabilities</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 and cut materials accurately</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 necessary materials are available before starting the assembly</p> Signup and view all the answers

    What is the primary purpose of following the assembly steps in the correct sequence?

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

    What is the primary purpose of calculating the total time needed for the entire assembly?

    <p>To plan and schedule the assembly process effectively</p> Signup and view all the answers

    What is the primary purpose of using probability values in real-life situations?

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

    What is the primary purpose of assembling the components in the correct sequence?

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

    What is the primary reason why distances calculated on a map using a scale are only estimates and not exact?

    <p>Many factors affect the accuracy of the distance calculation</p> Signup and view all the answers

    What is the advantage of 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 formula to convert a map measurement to an actual distance if the scale is 1:50,000?

    <p>Actual distance = Map measurement × 50,000</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, without the roof</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 according to a number scale of 1:50,000?

    <p>The map is 50,000 times smaller than the actual size</p> Signup and view all the answers

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

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

    What is the formula to convert an actual distance to a map measurement if the scale is 1:50,000?

    <p>Map measurement = Actual distance ÷ 50,000</p> Signup and view all the answers

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

    <p>A bar scale shows the relationship between measured length and actual distance</p> Signup and view all the answers

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

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

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

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

    What is a common way to express probability values in simple events?

    <p>In fraction, decimal, or percentage formats</p> Signup and view all the answers

    What is the main 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 a characteristic of a compound event?

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

    What is the result of multiplying a probability value in fraction format by 100?

    <p>A percentage value</p> Signup and view all the answers

    What is the purpose of observing historical trends in probability calculations?

    <p>To predict the likelihood of future events</p> Signup and view all the answers

    What is a characteristic of a graph that represents a constant ratio relationship?

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

    What is the purpose of drawing graphs in unfamiliar situations?

    <p>To identify the type of relationship</p> Signup and view all the answers

    What is an example of a combination of relationships?

    <p>A graph that represents a constant ratio relationship and a flat portion</p> Signup and view all the answers

    What is the main difference between a step-function relationship and a constant ratio relationship?

    <p>A step-function relationship has a flat portion, while a constant ratio relationship does not</p> Signup and view all the answers

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

    <p>It helps in making predictions and informed decisions</p> Signup and view all the answers

    What is the purpose of converting hours to seconds in a time conversion?

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

    Which of the following formulas is used to convert minutes to seconds?

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

    What is the purpose of measuring time in seconds?

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

    Which of the following is a key concept in measuring time?

    <p>Understanding units of measurement</p> Signup and view all the answers

    What is the purpose of using a stopwatch?

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

    Which of the following is a practical application of measuring time?

    <p>Extracting key information from timetables</p> Signup and view all the answers

    What is the purpose of calculating the difference in time between two events?

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

    Which of the following is a key concept in understanding time conversions?

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

    What is the purpose of converting seconds to hours?

    <p>To understand time conversions</p> Signup and view all the answers

    Which of the following is a practical application of time conversions?

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

    What is the main purpose of drawing graphs for 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 graph that represents a combination of relationships?

    <p>It has multiple points of intersection</p> Signup and view all the answers

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

    <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>It provides insights into where different systems or scenarios yield the same results</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 purpose of converting between solid and liquid quantities?

    <p>To make conversions in various contexts such as baking and construction</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 formula to convert temperature from Celsius to Fahrenheit?

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

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

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

    What is represented by the values read from the horizontal and vertical axes at the point of intersection?

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

    What is the characteristic of a graph that represents a constant ratio relationship?

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

    What is the purpose of drawing graphs in 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?

    <p>The cost of making calls on a particular cell phone contract</p> Signup and view all the answers

    What is the main difference between a step-function relationship and a constant ratio relationship?

    <p>The type of relationship represented</p> Signup and view all the answers

    What is represented by the increasing portion of a graph?

    <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?

    <p>To apply the skills and competencies to real-world situations</p> Signup and view all the answers

    What is the characteristic of a step-function relationship?

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

    What is the importance of drawing graphs for situations with unknown formulas or patterns?

    <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 constant ratio relationship?

    <p>The monthly cost of food purchases in a household increasing at a rate of 7.4% per year</p> Signup and view all the answers

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

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

    What is the formula to calculate the surface area of a rectangular box?

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

    What is the formula to calculate the volume of a cylindrical container?

    <p>V = πr^2h</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 unit of measurement for surface area?

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

    What is the process of converting from square units to liters called?

    <p>Conversion of units</p> Signup and view all the answers

    What is the formula to calculate the volume of a rectangular box?

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

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

    <p>Volume (ml) = (Weight (g) / Conversion Factor) × Conversion Factor for Volume</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 centimeters and milliliters?

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

    What is the formula to 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 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 step to convert time recording values to a single unit?

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

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

    <p>To find the difference between two time values</p> Signup and view all the answers

    Why is it important to understand the conversion ratios between different units of measurement?

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

    What is the formula to convert minutes to seconds?

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

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

    <p>Multiply the hours by 3600 and add the minutes and seconds</p> Signup and view all the answers

    What is the purpose of identifying the week and dates of the events when using a timetable?

    <p>To locate the specific week in which the event is scheduled</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 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 using a conversion factor when performing conversions?

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

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

    <p>To ensure accurate measurement and cutting of materials</p> Signup and view all the answers

    What is the primary purpose of estimating quantities and costs in the assembly process?

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

    What is the main benefit of following the sequence of assembly steps?

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

    What is the primary skill required when using a national road map to plan a trip?

    <p>Deciding on the most appropriate route</p> Signup and view all the answers

    What is the primary purpose of checking and adjusting during the assembly process?

    <p>To correct any mistakes or misalignments</p> Signup and view all the answers

    A strip chart is used to determine the distance between two towns on a specific route. If the distance measured on the chart is 5 cm, and the scale is 1:500,000, what is the actual distance?

    <p>25 km</p> Signup and view all the answers

    When using a street map, what is the primary purpose of a grid reference system?

    <p>To find specific streets using the street index</p> Signup and view all the answers

    What is the formula to calculate 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 characteristic of a simple event in probability?

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

    A housing complex map shows the positions of houses within a small area. What is the primary skill required when working with this type of 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 mathematical tools and techniques in design drawings?

    <p>To ensure accuracy and precision in design drawings</p> Signup and view all the answers

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

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

    A map has a scale of 1:100,000. If the distance between two towns on the map is 8 cm, what is the actual distance?

    <p>80 km</p> Signup and view all the answers

    What is the primary purpose of creating 3D models from 2D plans/nets?

    <p>To visualize and understand the structure of the design</p> Signup and view all the answers

    What is the primary purpose of using probability values in everyday life?

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

    What is the primary purpose of a distance table on a map?

    <p>To provide accurate distances between locations</p> Signup and view all the answers

    What is the primary difference between Calculation Type 1 and Calculation Type 2 when using a scale on a map?

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

    What is the primary purpose 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 key concept in working with plans that involves understanding terms like North, South, East, and West Elevation?

    <p>Understand compass directions</p> Signup and view all the answers

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

    <p>A number scale is a ratio of the map distance to the actual distance, while a bar scale is a visual representation of the ratio.</p> Signup and view all the answers

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

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

    If a map has a scale of 1:50,000, what is the relationship between the map measurement and the actual distance?

    <p>The map measurement is 50,000 times smaller than the actual distance.</p> Signup and view all the answers

    What is the primary purpose of building 3D models from 2D plans/nets?

    <p>To facilitate the movement between 2D and 3D representations of objects</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 on the map when a distance table or distance markers are not provided.</p> Signup and view all the answers

    What is the primary reason for using tree diagrams in compound events?

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

    What is the result of multiplying a probability fraction by 100?

    <p>The percentage format of the probability value</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 x Scale factor</p> Signup and view all the answers

    What is the key concept for design drawings that involves identifying the dimensions of the different components shown on the design plan?

    <p>Identify the dimensions of the different components shown on the design plan</p> Signup and view all the answers

    What is the process of moving from a 3D model to creating 2D drawings/nets/plans of the model?

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

    What is a characteristic of a compound event?

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

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

    <p>Because there are many factors that affect the accuracy of the distance calculation.</p> Signup and view all the answers

    What is the purpose of observing historical trends in probability calculations?

    <p>To determine the probability value of a future event</p> Signup and view all the answers

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

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

    What is the key skill for Grade 11 learners in the models section?

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

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

    <p>To determine the probability value of an event and make predictions</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 size of the map is changed.</p> Signup and view all the answers

    What is the primary purpose of the models section?

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

    What is the key concept in understanding probability values?

    <p>That they are predictions, not guarantees</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, without the roof.</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 or structure</p> Signup and view all the answers

    What type of calculation is required when a distance table or distance markers are not provided on a map?

    <p>An estimation using a scale.</p> Signup and view all the answers

    What is the key concept for design drawings that involves describing the different component parts required to make the item or object?

    <p>Describe the different component parts required to make the item or object</p> Signup and view all the answers

    Which of the following 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 an actual distance to a map measurement?

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

    What is the formula to calculate 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 decimals in probability calculations?

    <p>To derive a probability value from a fraction</p> Signup and view all the answers

    Which of the following formats is the original form resulting from the calculation of a probability value?

    <p>Fraction format</p> Signup and view all the answers

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

    <p>To understand the uncertainty involved in predicting the likelihood of events</p> Signup and view all the answers

    Which of the following is a characteristic of a compound event?

    <p>Involves multiple possible outcomes</p> Signup and view all the answers

    What is the result of converting a fraction to a percentage in probability calculations?

    <p>The probability value is multiplied by 100</p> Signup and view all the answers

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

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

    What is the characteristic of a graph that represents a constant ratio relationship?

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

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

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

    What is the key concept in understanding probability values?

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

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

    <p>To determine the probability values of multiple variables</p> Signup and view all the answers

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

    <p>The graph has multiple sections with different trends</p> Signup and view all the answers

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

    <p>It helps to make accurate predictions and informed decisions</p> Signup and view all the answers

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

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

    What is the correct step to calculate the total liters of paint needed?

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

    What is the purpose of breaking down the conversion process into smaller steps?

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

    What is the correct formula to convert time recording values from hours to seconds?

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

    What is the purpose of identifying the week and dates of the events in a timetable?

    <p>To locate the specific week in which the event is scheduled</p> Signup and view all the answers

    What is the correct formula to calculate the total hours from time recording values?

    <p>Total Hours = Hours + (Minutes ÷ 60) + (Seconds ÷ 3600)</p> Signup and view all the answers

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

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

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

    <p>To plan the activities of the event</p> Signup and view all the answers

    What is the correct formula to convert from milliliters to liters?

    <p>Liters = Milliliters ÷ 1000</p> Signup and view all the answers

    Which formula is used to convert hours to seconds?

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

    What is the purpose of converting to a single unit when calculating time differences?

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

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

    <p>To use the right units and conversion factors</p> Signup and view all the answers

    What is the correct formula to calculate the difference between two time values?

    <p>Time Difference = Larger Time Value - Smaller Time Value</p> Signup and view all the answers

    What is the primary purpose of using a stopwatch in practical applications?

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

    Which of the following is an example of a measurement technique?

    <p>Using a thermometer to measure temperature</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 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

    Which of the following is an example of estimation technique?

    <p>Rounding numbers to a specified degree of accuracy</p> Signup and view all the answers

    What is the primary purpose of using benchmarks in estimation techniques?

    <p>To make the estimation more accurate</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 in real-life contexts</p> Signup and view all the answers

    What is the main difference between a step-function relationship and a constant ratio relationship in terms of the calculation of the new value?

    <p>In a step-function relationship, the new value is calculated based on the previous value, whereas in a constant ratio relationship, the new value is calculated based on the initial value.</p> Signup and view all the answers

    What is the unit of measurement for the surface area of a rectangular box?

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

    What is the primary purpose of drawing graphs for unfamiliar situations?

    <p>To make sense of the situation and reveal patterns and trends that were not visible without the graph.</p> Signup and view all the answers

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

    <p>It has different portions representing different relationships.</p> Signup and view all the answers

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

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

    If 1m³ = 1000L, how many litres are in 2m³?

    <p>2000L</p> Signup and view all the answers

    What is an example of a constant ratio relationship?

    <p>The monthly cost of food purchases in a household increasing at a rate of 7.4% per year.</p> Signup and view all the answers

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

    <p>It helps in making predictions and forecasts in real-world applications.</p> Signup and view all the answers

    What is the conversion ratio between cubic centimetres and millilitres?

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

    What is represented by the flat portion of a graph?

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

    If a surface area is calculated to be 100cm², what is the equivalent area in square millimetres?

    <p>10000mm²</p> Signup and view all the answers

    What is the primary purpose of identifying the different portions of a graph?

    <p>To analyze the meaning of different portions of a graph in the context of real-world situations.</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 characteristic of a graph that represents a step-function relationship?

    <p>It has a series of steps.</p> Signup and view all the answers

    If a volume is calculated to be 1000cm³, what is the equivalent volume in litres?

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

    What is the purpose of drawing graphs for situations with unknown formulas or patterns?

    <p>To make sense of the situation and reveal patterns and trends that were not visible without the graph.</p> Signup and view all the answers

    What is the importance of converting between units when working with surface area and volume?

    <p>To make calculations more practical and applicable to real-world situations</p> Signup and view all the answers

    What is the difference between the formula for calculating the surface area of a rectangular box and the formula for calculating the volume of a rectangular box?

    <p>The surface area formula has more terms</p> Signup and view all the answers

    What is an example of a combination of relationships?

    <p>The cost of making calls on a cell phone contract with a fixed subscription fee and additional charges for call minutes.</p> Signup and view all the answers

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

    <p>To solve problems in real-world contexts</p> Signup and view all the answers

    What is the main difference between a non-joined segment and a joined segment in a graph?

    <p>A non-joined segment is discontinuous, whereas a joined segment is continuous.</p> Signup and view all the answers

    What is the primary purpose of drawing a graph for a situation with an unknown formula or pattern?

    <p>To make sense of the situation and reveal patterns and trends that were not visible without the graph.</p> Signup and view all the answers

    What is represented by the point of intersection between two graphs?

    <p>The point where the two graphs intersect, and the values are exactly equal.</p> Signup and view all the answers

    What is the purpose of using the trial and improvement method to determine the point of intersection?

    <p>To use their equations and the process of trial and improvement to find the values at which two relationships are equal.</p> Signup and view all the answers

    What is the importance of understanding the point of intersection and the regions around it?

    <p>It provides insights into where different systems or scenarios yield the same results.</p> Signup and view all the answers

    What is the purpose of converting between different units of measurement?

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

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

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

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

    <p>To simplify complex calculations in various contexts such as baking and construction.</p> Signup and view all the answers

    What is the benefit of using the trial and improvement method to find the point of intersection?

    <p>It allows for estimation of the point of intersection by using equations and the process of trial and improvement.</p> Signup and view all the answers

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

    <p>It is essential for analyzing and interpreting data, making decisions, and understanding the implications of different relationships.</p> Signup and view all the answers

    What is the primary purpose of using a street map?

    <p>To identify locations using symbols and follow directions.</p> Signup and view all the answers

    What is the primary advantage of using a strip chart?

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

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

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

    What is the primary skill required when using a national road map?

    <p>Deciding on the most appropriate route between destinations.</p> Signup and view all the answers

    What is the purpose of using distance tables on a map?

    <p>To determine distances between major cities and towns.</p> Signup and view all the answers

    What is the primary purpose of using a housing complex map?

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

    What type of calculation is required when a distance table or distance markers are not provided on a map?

    <p>Map measurement to actual distance.</p> Signup and view all the answers

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

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

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

    <p>To determine the probability of multiple outcomes</p> Signup and view all the answers

    Which of the following formats is not a result of the calculation of a probability value?

    <p>Ratio format</p> Signup and view all the answers

    What is the primary purpose of using historical trends in probability calculations?

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

    What is the result of dividing a fraction by 100 in probability calculations?

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

    What is the characteristic of a compound event that involves more than one occurrence or trial?

    <p>The probability calculation takes into account multiple possible outcomes</p> Signup and view all the answers

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

    <p>To determine the probability of multiple outcomes</p> Signup and view all the answers

    What is the key concept in understanding probability values?

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

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

    <p>To provide different ways of interpreting the probability value</p> Signup and view all the answers

    What is the primary purpose of drawing a 2D plan or net of a 3D model?

    <p>To understand the faces and edges of the model</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 result of multiplying a fraction by 100 in probability calculations?

    <p>Percentage format</p> Signup and view all the answers

    What is the key concept in following instructions for assembly?

    <p>Understanding the sequence of steps</p> Signup and view all the answers

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

    <p>To avoid errors in assembly</p> Signup and view all the answers

    What is the importance 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

    What is the formula to calculate 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 estimating quantities and costs in the assembly process?

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

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

    <p>To calculate quantities, costs, and time estimates</p> Signup and view all the answers

    What is the purpose of following the assembly steps in the correct sequence?

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

    What is the importance of understanding the probability value in simple events?

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

    What is the primary purpose of checking and adjusting the assembled parts during the assembly process?

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

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

    <p>The graph shows different fees for different time intervals</p> Signup and view all the answers

    What is the purpose of drawing graphs for 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?

    <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 importance of recognizing and understanding the implications of different relationships?

    <p>To develop skills and competencies in drawing and interpreting graphs</p> Signup and view all the answers

    What is represented by the flat portion of a graph?

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

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

    <p>The graph has different portions that represent different relationships</p> Signup and view all the answers

    What is the primary purpose of identifying the point of intersection between two graphs?

    <p>Not applicable to this topic</p> Signup and view all the answers

    What is the benefit of using the trial and improvement method to find the point of intersection?

    <p>Not applicable to this topic</p> Signup and view all the answers

    What is the purpose of drawing a graph for a situation with an unknown formula or pattern?

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

    What is the main difference between a step-function relationship and a constant ratio relationship?

    <p>One is characterized by a graph that becomes steeper at an increasing rate, while the other is not</p> Signup and view all the answers

    What is the main advantage of using the trial and improvement method to find the point of intersection between two graphs?

    <p>It is a more accurate method than estimating the point of intersection from a graph.</p> Signup and view all the answers

    What does the point of intersection between two graphs represent in the context of comparing the cost of electricity on different systems?

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

    What is the primary purpose of drawing graphs for unfamiliar situations?

    <p>To make sense of the situation and reveal patterns and trends that were not visible without the graph.</p> Signup and view all the answers

    What is the importance of understanding intersection points and the regions around them?

    <p>It provides insights into where different systems or scenarios yield the same results.</p> Signup and view all the answers

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

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

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

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

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

    <p>It is essential in various contexts such as baking and construction.</p> Signup and view all the answers

    What is the step in the trial and improvement method to determine the point of intersection between two graphs?

    <p>Substitute different values into the equations to see if they result in the same output.</p> Signup and view all the answers

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

    <p>To find an approximate point of intersection when the exact point cannot be determined.</p> Signup and view all the answers

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

    <p>It has multiple parts with different slopes.</p> Signup and view all the answers

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

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

    What is the correct unit to express the volume of a substance when converting from cubic meters (m³) to liters?

    <p>Liters (l)</p> Signup and view all the answers

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

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

    What is the correct step to convert a time value from minutes to seconds?

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

    What is the correct step to calculate the total hours from a time value given in hours, minutes, and seconds?

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

    What is the main purpose of identifying the week and dates of the events in a timetable?

    <p>To locate the specific event in the timetable</p> Signup and view all the answers

    What is the correct formula to convert a time value from hours to seconds?

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

    What is the correct step to 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 breaking down a time value into hours, minutes, and seconds when calculating the difference between two time values?

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

    What is the correct unit to express the spread rate of the paint?

    <p>Square meters per liter (m²/l)</p> Signup and view all the answers

    What is the main limitation of using probability values in predictions?

    <p>They do not guarantee outcomes</p> Signup and view all the answers

    What is the primary 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 graph that represents 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 observing historical trends in probability calculations?

    <p>To predict the likelihood of future events</p> Signup and view all the answers

    What is the result of converting a probability value from a fraction to a percentage?

    <p>Multiplying the fraction by 100</p> Signup and view all the answers

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

    <p>To determine the probability of a compound event</p> Signup and view all the answers

    What is the key concept in understanding probability values?

    <p>They are predictions, not guarantees</p> Signup and view all the answers

    What is an example of a compound event?

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

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

    <p>A combination of flat and increasing portions</p> Signup and view all the answers

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

    <p>It helps to make predictions and understand the uncertainty of outcomes</p> Signup and view all the answers

    What is the primary purpose 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 key concept for working with plans?

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

    What is the purpose of building 3D models from 2D plans/nets?

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

    What is the formula 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 models section?

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

    What is the key skill for Grade 11 learners in the models section?

    <p>Build 3D models from 2D plans/nets</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 process of moving from a 2D drawing to constructing a 3D object?

    <p>Understanding 2D plans/nets, building 3D models, and using models to investigate various problems</p> Signup and view all the answers

    What is the key concept for design drawings?

    <p>Describe the item or object shown on the design plan</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 main difference between using a number scale and a bar scale on a map?

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

    If a map has a scale of 1:25,000, what is the actual distance represented by 5 cm on the map?

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

    What is the primary reason why distances on a map can only be estimated, not determined accurately?

    <p>Many factors, such as accurate measurement and location, affect the accuracy of distance calculations.</p> Signup and view all the answers

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

    <p>The bar scale is resized proportionally.</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, without the roof.</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 number scale over a bar scale?

    <p>A number scale shows the relationship between the size of the area on the map and the actual size.</p> Signup and view all the answers

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

    <p>To convert map measurements to actual distances or vice versa.</p> Signup and view all the answers

    What is the primary purpose of a design drawing?

    <p>To design and plan the construction of a building or structure.</p> Signup and view all the answers

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

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

    What is the primary purpose of converting minutes to seconds in time conversions?

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

    Which of the following is an example of a practical application of time conversions in real-life contexts?

    <p>Determining the time elapsed between two events</p> Signup and view all the answers

    What is the primary purpose of understanding units of measurement in the context of measurement and estimation?

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

    Which of the following measurement techniques involves using known reference points or benchmarks to make estimations more accurate?

    <p>Using benchmarks to estimate quantities</p> Signup and view all the answers

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

    <p>To understand the properties of geometric figures</p> Signup and view all the answers

    What is the primary importance of using significant figures correctly in measurement and calculation?

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

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

    <p>To choose the appropriate tool or method</p> Signup and view all the answers

    What is the primary purpose of error analysis in measurement and estimation?

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

    What is the primary purpose of using rates and proportions in measurement and estimation?

    <p>To solve problems involving speed, density, and other rate-based measures</p> Signup and view all the answers

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

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

    What is the purpose of calculating the surface area of a 3-dimensional object?

    <p>To determine the total area of all the surfaces of the object</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 = πr^2 + 2πrh</p> Signup and view all the answers

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

    <p>To ensure the correct units are used in the calculations</p> Signup and view all the answers

    What is the relationship between 1 cm^3 and 1 ml?

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

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

    <p>V = 15 cm^3</p> Signup and view all the answers

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

    <p>SA = 52 cm^2</p> Signup and view all the answers

    What is the purpose of recording the measurement or estimation in the correct units and with the appropriate level of precision?

    <p>To ensure the correct units are used in the calculations</p> Signup and view all the answers

    What is the formula for the volume of a rectangular-based container?

    <p>V = area of base x height</p> Signup and view all the answers

    What is the purpose of analysing and applying the results of surface area and volume calculations?

    <p>To solve problems or make decisions in real-world contexts</p> Signup and view all the answers

    What is the conversion ratio between 1 m^3 and litres?

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

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