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

What skill is developed when using a national road map?

  • Working with a map that shows a small area with limited detail
  • Identifying locations using symbols
  • Following and providing directions using street names and directional indicators
  • Deciding on the most appropriate route between destinations (correct)

    • What type of map is used to determine the positions and names of streets within a city?

  • Strip Chart
  • National Road Map
  • Street Map (correct)
  • Housing Complex Map

    • What is the purpose of a distance table on a national road map?

  • To determine more accurate traveling distances on specific sections of a route
  • To plan stopping points for accommodation, breaks, or refuelling
  • To determine distances between major cities and towns (correct)
  • To estimate traveling costs and times

    • 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 skill is developed when using a strip chart?

    <p>Determining more accurate traveling distances on specific sections of a route</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 purpose of 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 first step in calculating the actual distance from a map measurement?

    <p>Measure a distance on a map</p> Signup and view all the answers

    What is the formula to convert actual distance to 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

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

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

    What type of scale shows the relationship between measured length and actual distance?

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

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

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

    Why can't distances be determined accurately on a map?

    <p>Because of various factors, including accurate measurement and location</p> Signup and view all the answers

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

    <p>Bar scales remain valid even when the map is resized</p> Signup and view all the answers

    What is the purpose of understanding scales in mapping?

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

    What does a number scale of 1:50,000 mean?

    <p>The actual area is 50,000 times larger than the map</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 shown on an elevation plan?

    <p>Dimensions and layout of the outside of the building</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 plan measure from actual dimension?

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

    What is the primary purpose of section 3: Drawing Scaled Plans?

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

    What is the key concept of working with plans?

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

    What is the key concept of design drawings?

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

    What is the purpose of 3D models in this context?

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

    What is a 2D net?

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

    What is the process of 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 main difference between simple and compound events?

    <p>The complexity of the probability calculation</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 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 an example of a compound event?

    <p>Insurance rate prediction</p> Signup and view all the answers

    What is the uncertainty in prediction?

    <p>The likelihood of the event occurring, but not a guarantee</p> Signup and view all the answers

    What is the format of a probability value that is obtained by multiplying the fraction by 100?

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

    What is the purpose of a tree diagram?

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

    What type of relationship occurs when a value is increased by a factor and then this new increased value is again increased by the factor?

    <p>Constant ratio relationship</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 represented by the flat portion of a graph in a combination of relationships?

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

    What is the purpose of a two-way table?

    <p>To compare two different variables and determine their probabilities</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 purpose of two-way tables in compound events?

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

    What is a 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 converting actual values to percentage probability values?

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

    What is the definition of a simple event?

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

    What is the purpose of using historical trends in probability?

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

    What is the format of a probability value derived by dividing the fraction?

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

    What is the purpose of probability values in advertisements?

    <p>To make predictions based on historical data</p> Signup and view all the answers

    What is the main difference between simple and compound events?

    <p>The number of occurrences or trials</p> Signup and view all the answers

    What is the first step in creating a 3D model?

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

    What is the purpose of measuring materials accurately?

    <p>To ensure 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 importance of following the assembly steps in sequence?

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

    What is the definition of a probability value?

    <p>A prediction of the likelihood that an event may occur</p> Signup and view all the answers

    What is the purpose of interpreting instructions or plans for assembly?

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

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

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

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

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

    What is a simple event in probability?

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

    What type of relationship 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 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 type of relationship is represented by a flat portion on a graph?

    <p>Fixed fee that does not change with usage</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 purpose of recognizing and understanding the implications of different relationships?

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

    What type of relationship is characterized by a graph that is made up of a combination of different types of relationships?

    <p>Combination of relationships</p> Signup and view all the answers

    What is the characteristic of an increasing portion on a graph?

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

    What is the purpose of interpreting and analyzing the meaning of different portions of a graph?

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

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

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

    What is the formula to convert weight from 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 main advantage of drawing graphs of unfamiliar situations?

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

    How do you convert cubic units to liters?

    <p>Volume (l) = Volume (m³) × 1,000</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 on the two different systems is the same</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 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

    Why is it important to double-check your calculations when performing conversions?

    <p>To ensure accuracy and avoid mistakes</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 the trial and improvement method?

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

    What do conversion factors allow you to do?

    <p>Switch between different units of measurement</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

    How do you calculate the total seconds from a time value in hours, minutes, and seconds?

    <p>Total Seconds = (Hours × 3600) + (Minutes × 60) + Seconds</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 first step in calculating the time difference between two time values?

    <p>Identify the start and end times</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 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 using a timetable?

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

    Why are conversions between solid and liquid quantities essential?

    <p>In cooking and construction</p> Signup and view all the answers

    Why is it important to understand the context in which the conversion is being performed?

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

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

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

    What is the purpose of converting minutes to hours?

    <p>To plan activities according to a timetable</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 understanding units of measurement?

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

    What is the purpose of measuring time?

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

    What is the purpose of using thermometers?

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

    What is the purpose of understanding scaling in maps?

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

    What is the purpose of using significant figures?

    <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 rates and proportions?

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

    What is the purpose of measuring mass and weight?

    <p>To use scales and balances to measure mass and weight</p> Signup and view all the answers

    What refers to the total area of all the surfaces of a 3-dimensional object?

    <p>Surface area</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 unit of measurement for surface area?

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

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

    <p>V = l × w × h</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

    How many liters can 1 cubic meter hold?

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

    What is the conversion ratio between cubic centimeter and milliliter?

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

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

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

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

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

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

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

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