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

What is the purpose of a probability value?

  • To calculate the number of ways an event can happen
  • To determine the total number of possible outcomes
  • To describe the likelihood of an event occurring (correct)
  • To guarantee the occurrence of an event

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

  • P(event) = total number of possible outcomes - number of ways in which an event can happen
  • P(event) = total number of possible outcomes + number of ways in which an event can happen
  • P(event) = number of ways in which an event can happen / total number of possible outcomes (correct)
  • P(event) = total number of possible outcomes / number of ways in which an event can happen

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

  • Ratio format
  • Fraction format
  • Decimal format
  • Percentage format (correct)

    • What is the main characteristic of a compound event?

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

    What is the purpose of a tree diagram in probability?

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

    What is the advantage of using two-way tables in probability?

    <p>They can be used to determine probability values and make predictions</p> Signup and view all the answers

    What is a common application of probability in real-life predictions?

    <p>Setting car insurance rates based on historical accident data</p> Signup and view all the answers

    What is a limitation of using probability values in predictions?

    <p>They do not guarantee the outcome of an event</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 probability?

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

    What is the format of probability values obtained by multiplying the fraction by 100?

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

    What is the purpose of using a two-way table in probability?

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

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

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

    What is the purpose of using scales in maps?

    <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 skill required to use 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 a street map?

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

    What is the type of map that shows 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 using a strip chart?

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

    What is a probability value?

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

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

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

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

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

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

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

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

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

    In what format can probability values be expressed?

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

    What is an example of a simple event?

    <p>Calculating the probability of a weather forecast</p> Signup and view all the answers

    What is a characteristic of a constant ratio relationship?

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

    What is an example of a compound event?

    <p>Analyzing statistical data tables</p> Signup and view all the answers

    Why is understanding probability values important?

    <p>To accurately determine and interpret probability values</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 purpose of drawing graphs of unfamiliar situations?

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

    What is a limitation of probability values?

    <p>They do not guarantee the outcome of an event</p> Signup and view all the answers

    What is a characteristic of a step-function relationship?

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

    What is a skill that learners need to develop?

    <p>Drawing graphs to represent various non-linear relationships.</p> Signup and view all the answers

    What is the result of a constant ratio relationship?

    <p>The value is increasing at an increasing rate.</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 purpose of interpreting and analyzing graphs?

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

    What is an example of a step-function relationship?

    <p>Parking fees at a supermarket.</p> Signup and view all the answers

    What is a characteristic of a combination of relationships?

    <p>The graph is made up of different portions representing different relationships.</p> Signup and view all the answers

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

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

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

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

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

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

    What is the purpose of a bar scale?

    <p>To show the relationship between measured length and actual distance.</p> Signup and view all the answers

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

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

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

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

    Why is it only possible to estimate distances on a map using a scale?

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

    What is the purpose of a number scale?

    <p>To show the relationship between map size and actual size.</p> Signup and view all the answers

    What is the scale factor in a number scale of 1:50,000?

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

    What is the relationship between the size of the area on the map and the actual size of that area in a number scale of 1:50,000?

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

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

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

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

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

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

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

    What is the purpose of using conversion factors in measurements?

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

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

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

    What is the formula to convert surface area from square meters to liters of paint?

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

    What is the importance of understanding the context in which conversions are performed?

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

    What is the formula to convert time from hours to seconds?

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

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

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

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

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

    What is the formula to convert hours to seconds?

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

    What is the first step in calculating the difference between two time values?

    <p>Break down the time values into hours, minutes, and seconds</p> Signup and view all the answers

    What is the purpose of a timetable?

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

    What is the formula to convert minutes to seconds?

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

    What is the unit of measurement used to measure temperature?

    <p>Degrees Celsius or Fahrenheit</p> Signup and view all the answers

    What is the purpose of measuring time?

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

    What is the formula to convert seconds to hours?

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

    What is the purpose of using a ruler or tape measure?

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

    What does the flat portion of a graph represent in a cell phone contract?

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

    What is the purpose of estimating techniques?

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

    What is a characteristic of a step-function relationship?

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

    What is the purpose of using scales and balances?

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

    What is the purpose of drawing graphs of unfamiliar situations?

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

    What does the point of intersection of two graphs represent?

    <p>The point where the values represented by the graphs are exactly equal</p> Signup and view all the answers

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

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

    What is the purpose of the trial and improvement method?

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

    What can intersection points provide insights into?

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

    What is represented by the horizontal value at the point of intersection?

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

    What is the purpose of understanding intersection points?

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

    What is an important aspect of working with two relationships?

    <p>Understanding the intersection points and the regions around them</p> Signup and view all the answers

    What is the main purpose of estimating quantities?

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

    What is the volume of 1 cubic meter in liters?

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

    What is the term for using known reference points to make estimations more accurate?

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

    What is the process of understanding and using scaling in maps, diagrams, and models to represent real-life objects or distances?

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

    What is the conversion of 1 cubic centimeter to milliliters?

    <p>1 milliliter</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 relationship between 1 square meter and 100 square centimeters?

    <p>1 square meter is equal to 10,000 square centimeters</p> Signup and view all the answers

    What is the unit of measurement for surface area?

    <p>mm^2</p> Signup and view all the answers

    What is the result of converting 1 cubic meter to cubic centimeters?

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

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

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

    Why do we need to convert between units of measurement?

    <p>Because the units of measurement for surface area and volume are not the same as the units used to measure liquids</p> Signup and view all the answers

    What is the unit of measurement for volume?

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

    What is the false assumption in converting between units of measurement?

    <p>1 m^2 = 100 cm^2</p> Signup and view all the answers

    What is the step in the measurement process that involves selecting the right tool or method?

    <p>Choose the appropriate tool or method</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 step in the measurement process that involves using the measured or estimated values to solve problems or make decisions?

    <p>Analyse and apply the results</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 is the purpose of a tree diagram in probability?

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

    What is the decimal format of the probability value 3/4?

    <p>0.75</p> Signup and view all the answers

    What is an example of a compound event?

    <p>Drawing a card from a deck twice</p> Signup and view all the answers

    What is the main advantage of using two-way tables in probability?

    <p>To compare the probability of two events</p> Signup and view all the answers

    What is a limitation of using probability values in predictions?

    <p>They do not guarantee the outcome of an event</p> Signup and view all the answers

    What is an example of using probability in real-life predictions?

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

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

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

    In what format can probability values NOT be expressed?

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

    What is the main difference between simple and compound events?

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

    What is the purpose of tree diagrams in probability?

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

    What is an example of a compound event?

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

    Why are probability values important?

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

    What is a characteristic of a simple event?

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

    What is the purpose of two-way tables?

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

    What is a limitation of probability values?

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

    What is an example of a simple event?

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

    Why are tree diagrams and two-way tables used in compound events?

    <p>To take into account multiple possible outcomes</p> Signup and view all the answers

    What is the purpose of calculating the probability of a simple event?

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

    What is the advantage of using a tree diagram in probability?

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

    What is the purpose of using a two-way table in probability?

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

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

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

    What is the purpose of using a scale in maps?

    <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 skill required to use a national road map?

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

    What is the 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 type of map that shows 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 using a strip chart?

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

    What is the 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 a characteristic of a constant ratio relationship?

    <p>The graph becomes steeper at an increasing rate</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 purpose of drawing and interpreting graphs?

    <p>To make sense of unfamiliar situations and reveal patterns and trends</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 a characteristic of a step-function relationship?

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

    What is a skill that learners need to develop?

    <p>Interpreting and analyzing the meaning of different portions of a graph</p> Signup and view all the answers

    What is the result of a constant ratio relationship?

    <p>The value is increasing at an increasing rate</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 purpose of interpreting and analyzing graphs?

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

    What is an example of a step-function relationship?

    <p>Parking fees at a supermarket</p> Signup and view all the answers

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

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

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

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

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

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

    Why is it only possible to estimate distances on a map using a scale?

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

    What is the purpose of a bar scale?

    <p>To show the relationship between measured length and actual distance.</p> Signup and view all the answers

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

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

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

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

    What is the scale factor in a number scale of 1:50,000?

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

    What is the relationship between the size of the area on the map and the actual size of that area in a number scale of 1:50,000?

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

    What is the purpose of a number scale?

    <p>To show the relationship between the size of the area on the map and the actual size of that area.</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 does the flat portion of a graph represent?

    <p>The fixed subscription fee</p> Signup and view all the answers

    What is the purpose of drawing graphs of unfamiliar situations?

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

    What is the point of intersection on a graph?

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

    What is the trial and improvement method used for?

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

    Why is understanding intersection points important?

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

    What does the increasing portion of a graph represent?

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

    What is the importance of interpreting and analyzing graphs?

    <p>To understand the relationships between variables</p> Signup and view all the answers

    What is a characteristic of a constant ratio relationship?

    <p>The graph is a straight line</p> Signup and view all the answers

    What is the purpose of estimating quantities?

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

    Which of the following is an example of scaling in real-life contexts?

    <p>Using a map to represent real-life distances</p> Signup and view all the answers

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

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

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

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

    What is the volume of 1 cubic meter in liters?

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

    What is the purpose of error analysis in measurement?

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

    What is the unit of measurement for surface area?

    <p>Square units (e.g., mm^2, cm^2, m^2)</p> Signup and view all the answers

    What is the conversion from cubic centimeters to milliliters?

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

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

    <p>1 m^3 = 1000000 cm^3</p> Signup and view all the answers

    What is the purpose of benchmarks in measurement?

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

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

    <p>V = πr^2h</p> Signup and view all the answers

    What is the area of 1 square centimeter in square millimeters?

    <p>1 cm^2 = 100 mm^2</p> Signup and view all the answers

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

    <p>Because paint is sold in liters and not in square units</p> Signup and view all the answers

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

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

    What is the mistake in assuming that 1 m^2 = 100 cm^2?

    <p>It ignores the difference between linear and square units</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 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 identifying the week and dates in a timetable?

    <p>To plan activities accordingly</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 to calculate the time difference between two events?

    <p>Break down the time values into hours, minutes, and seconds</p> Signup and view all the answers

    What is the purpose of using a stopwatch?

    <p>To measure time</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 purpose of converting hours and minutes to seconds?

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

    What is the step to use a timetable?

    <p>Identify the week and dates</p> Signup and view all the answers

    What is the purpose of measuring time?

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

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

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

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

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

    What is the step to convert grams to milliliters?

    <p>Multiply the weight in grams by the conversion factor</p> Signup and view all the answers

    What is the purpose of understanding solid to liquid conversions?

    <p>To convert between different units of measurement</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 purpose of converting time recording values into a single unit?

    <p>To make the values easier to calculate</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 using the correct conversion factor?

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

    What is the step to convert cubic units to liters?

    <p>Multiply the volume in cubic units by 1000</p> Signup and view all the answers

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

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

    What is the key concept of probability?

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

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

    <p>Rolling a die and getting a 6</p> Signup and view all the answers

    What is the purpose of a tree diagram in probability?

    <p>To list all possible outcomes and determine their probabilities</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 concept of using historical trends to predict future events?

    <p>Probability in predictions</p> Signup and view all the answers

    What is the key difference between simple and compound events?

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

    What is the limitation of using probability values in predictions?

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

    What is the purpose of a probability value?

    <p>To describe the likelihood that an event may occur.</p> Signup and view all the answers

    In which format can probability values be expressed?

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

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

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

    What is the purpose of a tree diagram in probability?

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

    What is an example of a compound event?

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

    Why is understanding probability values important?

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

    What is the main characteristic of a simple event?

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

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

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

    What is the limitation of using probability values in predictions?

    <p>They do not guarantee the outcome of an event.</p> Signup and view all the answers

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

    <p>A simple event involves a single occurrence or trial, while a compound event involves more than one occurrence or trial.</p> Signup and view all the answers

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

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

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

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

    What is the advantage of using two-way tables in probability?

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

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

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

    What is the skill required to use a national road map?

    <p>Determining the most appropriate route between destinations</p> Signup and view all the answers

    What is the purpose of using scales in maps?

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

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

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

    What is the type of map that shows 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 using a strip chart?

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

    What is the skill required to use a street map?

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

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

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

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

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

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

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

    What is the purpose of a bar scale?

    <p>To show the relationship between measured length and actual distance</p> Signup and view all the answers

    Why is it only possible to estimate distances on a map using a scale?

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

    What is the scale factor in a number scale of 1:50,000?

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

    What is the relationship between the size of the area on the map and the actual size of that area in a number scale of 1:50,000?

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

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

    <p>A bar scale does not become inaccurate if the size of the map is changed</p> Signup and view all the answers

    What is the purpose of a number scale?

    <p>To show the relationship between the size of the area on the map and the actual size of that area</p> Signup and view all the answers

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

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

    What is the characteristic of a flat portion of a graph?

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

    What is the purpose of drawing graphs of unfamiliar situations?

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

    What is the characteristic of a step-function relationship?

    <p>Represents different fees for different time intervals</p> Signup and view all the answers

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

    <p>To determine where the cost of electricity on two different systems is the same</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 purpose of drawing graphs of unfamiliar situations?

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

    What is the result of the trial and improvement method?

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

    What is the importance of understanding intersection points?

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

    What is a characteristic of a combination of relationships?

    <p>The graph is made up of different types of relationships.</p> Signup and view all the answers

    What is the result of a constant ratio relationship?

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

    What is represented by the increasing portion of a graph?

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

    What is the characteristic of a combination of relationships?

    <p>Represents different relationships within the same context</p> Signup and view all the answers

    What is a skill that learners need to develop?

    <p>Drawing and interpreting graphs.</p> Signup and view all the answers

    What is the purpose of interpreting and analyzing graphs?

    <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 step-function relationship?

    <p>Parking fees at a supermarket.</p> Signup and view all the answers

    What is the purpose of interpreting and analyzing graphs?

    <p>To understand the relationships between variables.</p> Signup and view all the answers

    What is the result of the intersection of two graphs?

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

    What is a characteristic of a step-function relationship?

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

    What is an example of a combination of relationships?

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

    What is the volume of 1 cubic meter in liters?

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

    How many cubic centimeters are in 1 cubic meter?

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

    What is the relationship between 1 cubic centimeter and milliliters?

    <p>1 cubic centimeter is equal to 1 milliliter</p> Signup and view all the answers

    If 1 meter is equal to 100 centimeters, how many square centimeters are in 1 square meter?

    <p>10,000 square centimeters</p> Signup and view all the answers

    What is the conversion from square meters to square centimeters?

    <p>1 square meter is equal to 10,000 square centimeters</p> Signup and view all the answers

    How many millimeters are in 1 centimeter?

    <p>10 millimeters</p> Signup and view all the answers

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

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

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

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

    What is the step to convert grams to milliliters?

    <p>Use the formula: Volume (ml) = (Weight (g) / Conversion Factor) × Conversion Factor for Volume</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 importance of using the provided conversion factors?

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

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

    <p>It helps to ensure accuracy in conversions</p> Signup and view all the answers

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

    <p>To make it easier to perform 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 purpose of understanding the context in which the conversion is being performed?

    <p>To ensure that the correct units and conversion factors are used</p> Signup and view all the answers

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

    <p>It helps to ensure accuracy in conversions</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

    How do you calculate the time elapsed between two events?

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

    What is the purpose of a timetable?

    <p>To identify the week and dates of the events</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 hours from hours, minutes, and seconds?

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

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

    <p>To understand and work with different units of measurement</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 purpose of measuring time?

    <p>To understand and work with different units of measurement</p> Signup and view all the answers

    How do you calculate the total seconds from hours, minutes, and seconds?

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

    What is the purpose of using a stopwatch?

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

    What is the main purpose of estimation in measurement?

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

    What is the 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 purpose of using scaling in maps?

    <p>To represent real-life objects or distances</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 purpose of using benchmarks in estimation?

    <p>To use known reference points to make estimations more accurate</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 purpose of using significant figures in measurement?

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

    What is the purpose of error analysis in measurement?

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

    What is the purpose of using rates and proportions in real-life contexts?

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

    What is the formula to calculate the surface area of a cylinder?

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

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