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 (D)</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 (B)</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 (B)</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 (C)</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 (C)</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 (D)</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 (C)</p> Signup and view all the answers

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

<p>Percentage format (D)</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 (D)</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 (D)</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 (C)</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 (D)</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 (D)</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 (D)</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 (D)</p> Signup and view all the answers

What is a probability value?

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

In what format can probability values be expressed?

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

What is an example of a simple event?

<p>Calculating the probability of a weather forecast (B)</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. (D)</p> Signup and view all the answers

What is an example of a compound event?

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

Why is understanding probability values important?

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

What is a limitation of probability values?

<p>They do not guarantee the outcome of an event (C)</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. (D)</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. (A)</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. (A)</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. (C)</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. (D)</p> Signup and view all the answers

What is an example of a step-function relationship?

<p>Parking fees at a supermarket. (C)</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. (A)</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 (A)</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. (C)</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. (C)</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. (D)</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 (D)</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. (A)</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. (A)</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. (A)</p> Signup and view all the answers

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

<p>50,000 (A)</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. (A)</p> Signup and view all the answers

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

<p>2.206 (B)</p> Signup and view all the answers

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

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

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

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

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

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

What is the formula to convert hours to seconds?

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

What is the purpose of a timetable?

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

What is the formula to convert minutes to seconds?

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

What is the unit of measurement used to measure temperature?

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

What is the purpose of measuring time?

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

What is the formula to convert seconds to hours?

<p>Seconds ÷ 3600 (D)</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 (C)</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 (B)</p> Signup and view all the answers

What is the purpose of estimating techniques?

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

What is the purpose of using scales and balances?

<p>To measure mass and weight (D)</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 (B)</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 (B)</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 (A)</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 (B)</p> Signup and view all the answers

What can intersection points provide insights into?

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

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

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

What is the purpose of understanding intersection points?

<p>To analyze and interpret data (D)</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 (C)</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 (B)</p> Signup and view all the answers

What is the volume of 1 cubic meter in liters?

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

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

<p>Using benchmarks (B)</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 (D)</p> Signup and view all the answers

What is the conversion of 1 cubic centimeter to milliliters?

<p>1 milliliter (D)</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 (D)</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 (B)</p> Signup and view all the answers

What is the unit of measurement for surface area?

<p>mm^2 (A)</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 (D)</p> Signup and view all the answers

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

<p>V = lwh (C)</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 (A)</p> Signup and view all the answers

What is the unit of measurement for volume?

<p>mm^3 (B)</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 (B)</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 (A)</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 (B)</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 (D)</p> Signup and view all the answers

What is a simple event in probability?

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

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

<p>0.75 (C)</p> Signup and view all the answers

What is an example of a compound event?

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

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

<p>All of the above (D)</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 (C)</p> Signup and view all the answers

In what format can probability values NOT be expressed?

<p>Ratio (A)</p> Signup and view all the answers

What is the main difference between simple and compound events?

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

What is the purpose of tree diagrams in probability?

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

What is an example of a compound event?

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

Why are probability values important?

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

What is a characteristic of a simple event?

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

What is the purpose of two-way tables?

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

What is a limitation of probability values?

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

What is an example of a simple event?

<p>Weather forecasts (B)</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 (A)</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 (D)</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 (A)</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 (D)</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 (A)</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 (B)</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 (A)</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 (C)</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 (B)</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 (D)</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 (C)</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 (D)</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 (D)</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 (D)</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 (C)</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 (C)</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 (B)</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 (B)</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 (A)</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 (D)</p> Signup and view all the answers

What is an example of a step-function relationship?

<p>Parking fees at a supermarket (C)</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 (D)</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. (A)</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. (B)</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. (A)</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. (C)</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 (B)</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. (A)</p> Signup and view all the answers

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

<p>50,000 (B)</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. (C)</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. (D)</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 (D)</p> Signup and view all the answers

What does the flat portion of a graph represent?

<p>The fixed subscription fee (C)</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 (D)</p> Signup and view all the answers

What is the point of intersection on a graph?

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

What is the trial and improvement method used for?

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

Why is understanding intersection points important?

<p>To analyze and interpret data (B)</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 (A)</p> Signup and view all the answers

What does the increasing portion of a graph represent?

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

What is the importance of interpreting and analyzing graphs?

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

What is a characteristic of a constant ratio relationship?

<p>The graph is a straight line (D)</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 (D)</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 (C)</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 (C)</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 (B)</p> Signup and view all the answers

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

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

What is the volume of 1 cubic meter in liters?

<p>1000 liters (B)</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 (D)</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) (D)</p> Signup and view all the answers

What is the conversion from cubic centimeters to milliliters?

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

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

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

What is the formula to convert minutes to seconds?

<p>Seconds = Minutes × 60 (A)</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 (D)</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 (A)</p> Signup and view all the answers

What is the formula to convert hours to seconds?

<p>Seconds = Hours × 3600 (D)</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 (C)</p> Signup and view all the answers

What is the purpose of using a stopwatch?

<p>To measure time (C)</p> Signup and view all the answers

What is the formula to convert seconds to hours?

<p>Hours = Seconds ÷ 3600 (D)</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 (D)</p> Signup and view all the answers

What is the step to use a timetable?

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

What is the purpose of measuring time?

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

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

<p>2.206 (A)</p> Signup and view all the answers

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

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

What is the formula to convert minutes to seconds?

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

What is the purpose of using the correct conversion factor?

<p>To ensure accuracy in calculations (C)</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 (C)</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 (D)</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 (B)</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 (A)</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 (B)</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 (C)</p> Signup and view all the answers

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

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

What is the concept of using historical trends to predict future events?

<p>Probability in predictions (A)</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. (D)</p> Signup and view all the answers

What is the limitation of using probability values in predictions?

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

In which format can probability values be expressed?

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

What is an example of a compound event?

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

Why is understanding probability values important?

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

What is the main characteristic of a simple event?

<p>It involves a single occurrence or trial. (A)</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. (D)</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. (A)</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. (C)</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 (A)</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 (A)</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 (A)</p> Signup and view all the answers

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

<p>Decimal format (D)</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 (C)</p> Signup and view all the answers

What is the purpose of using scales in maps?

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

What is the skill required to use a street map?

<p>Identifying locations using symbols (D)</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 (B)</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 (D)</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 (B)</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 (A)</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 (D)</p> Signup and view all the answers

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

<p>50,000 (A)</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 (C)</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 (A)</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 (B)</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 (D)</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 (B)</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 (A)</p> Signup and view all the answers

What is the characteristic of a step-function relationship?

<p>Represents different fees for different time intervals (B)</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. (C)</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 (D)</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. (D)</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. (D)</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 (C)</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 (B)</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. (A)</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. (C)</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 (C)</p> Signup and view all the answers

What is the characteristic of a combination of relationships?

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

What is a skill that learners need to develop?

<p>Drawing and interpreting graphs. (A)</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 (D)</p> Signup and view all the answers

What is an example of a step-function relationship?

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

What is the purpose of interpreting and analyzing graphs?

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

What is the volume of 1 cubic meter in liters?

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

How many cubic centimeters are in 1 cubic meter?

<p>1,000,000 cubic centimeters (D)</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 (B)</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 (A)</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 (A)</p> Signup and view all the answers

How many millimeters are in 1 centimeter?

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

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

<p>2.206 (A)</p> Signup and view all the answers

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

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

What is the importance of using the provided conversion factors?

<p>To ensure accuracy in conversions (B)</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 (D)</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 (B)</p> Signup and view all the answers

What is the formula to convert minutes to seconds?

<p>Seconds = Minutes × 60 (A)</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 (D)</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 (A)</p> Signup and view all the answers

What is the formula to convert minutes to seconds?

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

What is the purpose of a timetable?

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

What is the formula to convert hours to seconds?

<p>Seconds = Hours × 3600 (C)</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) (B)</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 (A)</p> Signup and view all the answers

What is the formula to convert seconds to hours?

<p>Hours = Seconds ÷ 3600 (C)</p> Signup and view all the answers

What is the purpose of measuring time?

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

What is the purpose of using a stopwatch?

<p>To measure time accurately (D)</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 (B)</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 (B)</p> Signup and view all the answers

What is the purpose of using scaling in maps?

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

What is the unit of measurement for surface area?

<p>Square units (C)</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 (B)</p> Signup and view all the answers

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

<p>V = lwh (C)</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 (B)</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 (D)</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 (B)</p> Signup and view all the answers

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

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

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