Gr12 Math Lit: November hard P(2)
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Questions and Answers

What is the probability of rolling an even number on a standard six-sided dice?

  • 1/2 (correct)
  • 1/3
  • 2/3
  • 3/4

    • A probability of 0.25 is equivalent to which of the following?

  • 2/5
  • 1/4 (correct)
  • 3/8
  • 1/5

    • What is the probability of rolling a number other than 3 on a standard six-sided dice?

  • 5/6 (correct)
  • 1
  • 1/6
  • 2/3

    • A certain event has a probability of:

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

    What is the probability of getting heads when tossing a fair coin?

    <p>1/2</p> Signup and view all the answers

    What is the term for the number of times an event occurs?

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

    What is the probability of rolling a 5 on a standard six-sided dice?

    <p>1/6</p> Signup and view all the answers

    What is the term for an event that occurs without any bias or pattern?

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

    What is the primary purpose of a tree diagram in probability?

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

    What is a false positive in the context of medical tests?

    <p>A positive result when the patient is actually negative</p> Signup and view all the answers

    How can the accuracy of weather predictions be improved?

    <p>By using advanced measurement tools and analysis methods</p> Signup and view all the answers

    What is the conversion factor for millimetres to centimetres?

    <p>10 mm = 1 cm</p> Signup and view all the answers

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

    <p>To show the probability of combined events</p> Signup and view all the answers

    What is the conversion factor for millilitres to litres?

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

    What is the primary purpose of a travel timetable?

    <p>To show the departure and arrival times of transportation</p> Signup and view all the answers

    What is the conversion factor for centimetres cubed to millilitres?

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

    What is the purpose of a tide timetable?

    <p>To show the high and low tide times for seaside locations</p> Signup and view all the answers

    What is the conversion factor for kilograms to grams?

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

    What is the primary formula used to calculate the volume of a cylinder?

    <p>π × Radius² × Height</p> Signup and view all the answers

    When dealing with composite shapes, how do you calculate the total volume?

    <p>Sum the volumes of individual parts</p> Signup and view all the answers

    What is the purpose of checking sensibility in volume calculations?

    <p>To verify the calculated volume makes sense in the context of the problem</p> Signup and view all the answers

    What is the primary advantage of using a bar scale in maps?

    <p>It remains accurate when the map is resized</p> Signup and view all the answers

    How do you determine the scale of a map when given a distance?

    <p>Measure the distance on the map and use the actual real-life distance to set up a ratio</p> Signup and view all the answers

    What is the purpose of converting real measurements to scaled measurements when drawing a scaled map?

    <p>To convert real dimensions into scaled dimensions</p> Signup and view all the answers

    When calculating the volume of a foundation, which formula is used?

    <p>Length × Breadth × Height</p> Signup and view all the answers

    What is the primary disadvantage of using a number scale in maps?

    <p>It becomes inaccurate if the map is resized</p> Signup and view all the answers

    How do you create a bar scale from a number scale?

    <p>Use the ratio to create a visual representation</p> Signup and view all the answers

    What is the primary application of calculating volume in real-life scenarios?

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

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

    <p>It is simpler and requires only one measurement.</p> Signup and view all the answers

    A map has a scale of 1:200. If a distance on the map is 5 cm, what is the real-life distance?

    <p>100 m</p> Signup and view all the answers

    What is the purpose of an elevation in a plan?

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

    How do you determine the scale of a map when given a distance?

    <p>Measure the distance on the map, use the actual real-life distance, and set up a ratio</p> Signup and view all the answers

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

    <p>It remains accurate when the map is resized</p> Signup and view all the answers

    What do assembly diagrams provide?

    <p>Annotated pictures explaining how to assemble an item</p> Signup and view all the answers

    What does a solid wall symbol represent on a floor plan?

    <p>A wall that extends to the ceiling</p> Signup and view all the answers

    How do you create a bar scale from a number scale?

    <p>Use the ratio of the number scale to create an easily readable segment</p> Signup and view all the answers

    What is the purpose of a plan?

    <p>To understand the design and layout of a building or object</p> Signup and view all the answers

    What is the first step in drawing a scaled map from real dimensions?

    <p>Obtain real measurements of the area or object to be mapped</p> Signup and view all the answers

    What is the primary purpose of a floor plan?

    <p>To show the arrangement of rooms and fixtures from a bird's-eye view</p> Signup and view all the answers

    When interpreting a floor plan, what aspect should be checked in the kitchen?

    <p>Window placements, cupboard spaces, and door orientations</p> Signup and view all the answers

    What is a key consideration when packing items into containers?

    <p>The weight limits of the container</p> Signup and view all the answers

    What is the purpose of creating a 3-D model from 2-D plans?

    <p>To construct an accurate representation of a building or structure</p> Signup and view all the answers

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

    <p>Determine the appropriate scale</p> Signup and view all the answers

    Why is it essential to consider the area calculation when packing items into a box?

    <p>To consider the shapes and how they fit together in reality</p> Signup and view all the answers

    What is a key aspect to check when interpreting a floor plan?

    <p>The logical arrangement of fixtures and entryways</p> Signup and view all the answers

    What is the purpose of identifying the front entrance on a floor plan?

    <p>To identify the path through the house</p> Signup and view all the answers

    What is a key consideration when determining the number of boxes needed for efficient packing?

    <p>The surface area of the items and the box</p> Signup and view all the answers

    What is the purpose of checking door and window placements when interpreting a floor plan?

    <p>To ensure proper access and light without compromising privacy or functionality</p> Signup and view all the answers

    What is the ratio of 1 cubic meter to liters?

    <p>1:1000</p> Signup and view all the answers

    A rectangular garden measures 15 meters by 8 meters. What is its perimeter?

    <p>46 meters</p> Signup and view all the answers

    What is the circumference of a circle with a diameter of 14 cm?

    <p>44 cm</p> Signup and view all the answers

    A triangle has sides of 5 cm, 12 cm, and 13 cm. What is its perimeter?

    <p>30 cm</p> Signup and view all the answers

    What is the area of a circle with a radius of 4 cm?

    <p>50.24 cm²</p> Signup and view all the answers

    A rectangular box has a length of 8 cm, breadth of 6 cm, and height of 4 cm. What is its volume?

    <p>192 cm³</p> Signup and view all the answers

    A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume?

    <p>282.6 cm³</p> Signup and view all the answers

    What is the conversion of 1 cup to milliliters?

    <p>250 ml</p> Signup and view all the answers

    A triangle has a base of 8 cm and a height of 6 cm. What is its area?

    <p>24 cm²</p> Signup and view all the answers

    What is the conversion of 1 tablespoon to milliliters?

    <p>15 ml</p> Signup and view all the answers

    What is the primary advantage of using tree diagrams in probability?

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

    What does the conversion factor 10 mm = 1 cm represent?

    <p>Length conversion from smaller to larger units</p> Signup and view all the answers

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

    <p>To show the combined outcomes of two events</p> Signup and view all the answers

    What is the conversion factor for 1 cubic meter to liters?

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

    What is the main purpose of using measurement conversions in real-life situations?

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

    What is the primary advantage of using advanced measurement tools and analysis methods in weather predictions?

    <p>To increase the accuracy of weather predictions</p> Signup and view all the answers

    What is the primary purpose of verifying the accuracy of sources and data used in media analysis?

    <p>To evaluate the credibility of the information</p> Signup and view all the answers

    What is the primary purpose of collecting more data over time in weather predictions?

    <p>To increase the accuracy of weather predictions</p> Signup and view all the answers

    What is the conversion factor for 1 kilogram to grams?

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

    What is the primary purpose of using ratios in building constructions?

    <p>To determine the quantities needed for construction materials</p> Signup and view all the answers

    What is the probability of rolling two even numbers in a row when rolling a fair six-sided dice twice?

    <p>1/2</p> Signup and view all the answers

    What is the probability of rolling an odd number or a number greater than 4 when rolling a fair six-sided dice?

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

    What is the probability of rolling a number less than or equal to 2 or a number greater than 5 when rolling a fair six-sided dice?

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

    What is the probability of rolling a prime number when rolling a fair six-sided dice?

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

    What is the probability of rolling a multiple of 3 when rolling a fair six-sided dice?

    <p>1/3</p> Signup and view all the answers

    What is the probability of rolling a number greater than 3 or an odd number when rolling a fair six-sided dice?

    <p>5/6</p> Signup and view all the answers

    What is the probability of rolling a number less than or equal to 1 or a number greater than 2 when rolling a fair six-sided dice?

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

    What is the conversion factor for cubic meters to milliliters?

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

    What is the probability of rolling an even number or a prime number when rolling a fair six-sided dice?

    <p>3/4</p> Signup and view all the answers

    If a circle has a diameter of 14 cm, what is its circumference?

    <p>28π cm</p> Signup and view all the answers

    A rectangular box has a length of 6 cm, width of 4 cm, and height of 3 cm. What is its volume?

    <p>48 cm³</p> Signup and view all the answers

    What is the area of a triangle with a base of 5 cm and a perpendicular height of 6 cm?

    <p>15 cm²</p> Signup and view all the answers

    A cylinder has a radius of 3 cm and a height of 5 cm. What is its volume?

    <p>75π cm³</p> Signup and view all the answers

    What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?

    <p>26 cm</p> Signup and view all the answers

    What is the conversion factor for milliliters to liters?

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

    A circle has a circumference of 44 cm. What is its diameter?

    <p>14 cm</p> Signup and view all the answers

    What is the area of a circle with a radius of 4 cm?

    <p>16π cm²</p> Signup and view all the answers

    A rectangular prism has a length of 5 cm, width of 3 cm, and height of 2 cm. What is its volume?

    <p>20 cm³</p> Signup and view all the answers

    What is the primary consideration when converting real measurements to scaled measurements in map drawing?

    <p>Choosing an appropriate scale</p> Signup and view all the answers

    When dealing with composite shapes in volume calculations, what step is crucial?

    <p>Calculating the volume of each part separately</p> Signup and view all the answers

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

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

    When calculating the volume of a foundation, which formula is used?

    <p>Formula for a rectangular box</p> Signup and view all the answers

    What is the primary purpose of checking sensibility in volume calculations?

    <p>To verify the calculated volume makes sense in the context of the problem</p> Signup and view all the answers

    When creating a bar scale from a number scale, what is the primary step?

    <p>Use the ratio to create a visual representation</p> Signup and view all the answers

    What is the primary application of calculating volume in real-life scenarios?

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

    What is the main disadvantage of using a number scale in maps?

    <p>Number scales become inaccurate when the map is resized</p> Signup and view all the answers

    When drawing a scaled map from real dimensions, what is the first step?

    <p>Obtain real measurements</p> Signup and view all the answers

    What is the primary consideration when packing items into containers?

    <p>Considering the area calculation</p> Signup and view all the answers

    What is the primary reason to prefer a bar scale over a number scale when creating a scaled map?

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

    What is the primary advantage of using a number scale when drawing a scaled map?

    <p>Number scales are simpler to calculate.</p> Signup and view all the answers

    What is the purpose of drawing an elevation in a plan?

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

    What is the primary purpose of using symbols on a floor plan?

    <p>To provide clarity and understanding of the plan's elements.</p> Signup and view all the answers

    What is the first step in drawing a scaled map from real dimensions?

    <p>Obtain real measurements of the area or object.</p> Signup and view all the answers

    What is the purpose of a floor plan?

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

    What is the primary purpose of converting real measurements to scaled measurements when drawing a scaled map?

    <p>To ensure accuracy in the map's representation of distances.</p> Signup and view all the answers

    What is the purpose of an assembly diagram?

    <p>To provide a visual representation of the assembly process.</p> Signup and view all the answers

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

    <p>Number scales are simpler to calculate.</p> Signup and view all the answers

    What is the purpose of checking sensibility in volume calculations?

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

    What is the primary purpose of a floor plan?

    <p>To show the layout and arrangement of rooms and fixtures</p> Signup and view all the answers

    What is a crucial aspect to check in the bathroom when interpreting a floor plan?

    <p>The placement of the toilet and bathroom fixtures</p> Signup and view all the answers

    What is the primary consideration when determining the number of boxes needed for efficient packing?

    <p>The weight limit of the container</p> Signup and view all the answers

    What is the purpose of creating a 3-D model from 2-D plans?

    <p>To construct an accurate representation of the building</p> Signup and view all the answers

    What is the first step in creating a 3-D model from 2-D plans?

    <p>Determine the appropriate scale</p> Signup and view all the answers

    What is the primary purpose of checking door and window placements when interpreting a floor plan?

    <p>To check for logical arrangement of fixtures and entryways</p> Signup and view all the answers

    What is a key consideration when packing fragile items into containers?

    <p>The inclusion of extra protective material</p> Signup and view all the answers

    What is the primary purpose of identifying the front entrance on a floor plan?

    <p>To determine the path through the house</p> Signup and view all the answers

    What is a crucial aspect to check in the kitchen when interpreting a floor plan?

    <p>The window placements and door orientations</p> Signup and view all the answers

    What is the primary advantage of using a scaled model?

    <p>It helps to identify errors in the design</p> Signup and view all the answers

    What is the probability of rolling a prime number on a standard six-sided dice?

    <p>1/2</p> Signup and view all the answers

    A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the theoretical probability of drawing a ball that is not blue?

    <p>8/10</p> Signup and view all the answers

    In a coin toss, what is the probability of getting exactly 3 heads in 5 tosses?

    <p>5/16</p> Signup and view all the answers

    A medical test has a 5% chance of giving a false positive result. What is the probability of getting a true positive result if the test is positive?

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

    A fair six-sided dice is rolled 3 times. What is the probability of getting a sum of at least 15?

    <p>1/36</p> Signup and view all the answers

    A lottery has 10 numbers from 1 to 10. What is the probability of choosing exactly 2 numbers correctly if 2 numbers are drawn?

    <p>2/10</p> Signup and view all the answers

    A survey found that 30% of people in a city support a new policy. What is the probability that at least 2 out of 5 randomly selected people support the policy?

    <p>0.7</p> Signup and view all the answers

    In a game of chance, the probability of winning is 0.4. What is the probability of losing?

    <p>0.6</p> Signup and view all the answers

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

    <p>To show the combined outcomes of two events</p> Signup and view all the answers

    What is the conversion factor for centimeters cubed to milliliters?

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

    In a tree diagram, what does each branch represent?

    <p>A possible outcome with its probability</p> Signup and view all the answers

    What is the primary purpose of a tree diagram in probability?

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

    What is the conversion factor for kilograms to grams?

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

    What is the primary purpose of a travel timetable?

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

    What is the conversion factor for milliliters to liters?

    <p>1 ml = 0.01 l</p> Signup and view all the answers

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

    <p>Provides a visual representation of measurements</p> Signup and view all the answers

    What is the primary purpose of converting real measurements to scaled measurements when drawing a scaled map?

    <p>To calculate the scale of the map</p> Signup and view all the answers

    What is the primary application of calculating volume in real-life scenarios?

    <p>Packing items into containers</p> Signup and view all the answers

    If a recipe requires 2 cups of flour, how many milliliters of flour are required?

    <p>400 ml</p> Signup and view all the answers

    What is the formula to calculate the perimeter of a triangle?

    <p>Perimeter = side 1 + side 2 + side 3</p> Signup and view all the answers

    What is the formula to calculate the area of a circle?

    <p>Area = π × radius²</p> Signup and view all the answers

    What is the purpose of using a spread rate to convert area to liquid volume?

    <p>To determine the amount of material needed for a construction project</p> Signup and view all the answers

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

    <p>Volume = length × breadth × height</p> Signup and view all the answers

    What is the purpose of breaking down complex shapes into simpler shapes?

    <p>To calculate the volume of the shape</p> Signup and view all the answers

    What is the unit of measurement for the volume of a 3-dimensional object?

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

    What is the purpose of estimating lengths and distances?

    <p>To determine the amount of material needed for a project</p> Signup and view all the answers

    What is the formula to calculate the circumference of a circle?

    <p>Circumference = π × diameter</p> Signup and view all the answers

    What is the purpose of using formulae to calculate perimeter and area?

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

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

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

    When drawing a scaled map from real dimensions, what is the first step?

    <p>Obtain real measurements of the area or object.</p> Signup and view all the answers

    What is the primary purpose of checking sensibility in volume calculations?

    <p>To verify the calculation makes sense in the context of the problem.</p> Signup and view all the answers

    How do you determine the scale of a map when given a distance?

    <p>Measure the distance on the map and set up a ratio.</p> Signup and view all the answers

    What is the primary application of calculating volume in real-life scenarios?

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

    How do you create a bar scale from a number scale?

    <p>Use the ratio to create a visual representation.</p> Signup and view all the answers

    What is the primary disadvantage of using a number scale in maps?

    <p>It becomes inaccurate when the map is resized.</p> Signup and view all the answers

    When calculating the volume of a composite shape, how do you determine the total volume?

    <p>Calculate the volume of each part separately and then sum them up.</p> Signup and view all the answers

    What is the primary purpose of converting real measurements to scaled measurements when drawing a scaled map?

    <p>To ensure the map is drawn to scale.</p> Signup and view all the answers

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

    <p>It is simpler to calculate distances.</p> Signup and view all the answers

    What is the primary reason for using a bar scale over a number scale in maps?

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

    What is the first step in determining the scale of a map when given a distance?

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

    What does an elevation in a plan represent?

    <p>The front, back, or side view of a building</p> Signup and view all the answers

    What is the primary purpose of using symbols on a floor plan?

    <p>To represent various elements and fixtures within a building</p> Signup and view all the answers

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

    <p>Number scales are simpler to calculate with</p> Signup and view all the answers

    What is the purpose of converting real measurements to scaled measurements when drawing a scaled map?

    <p>To ensure accuracy in the map's scale</p> Signup and view all the answers

    What is the primary purpose of an assembly diagram?

    <p>To explain how to assemble an item in detail</p> Signup and view all the answers

    What is the primary disadvantage of using a number scale in maps?

    <p>Number scales become inaccurate when the map is resized</p> Signup and view all the answers

    What is the purpose of creating a bar scale from a number scale?

    <p>To provide a visual representation of the scale</p> Signup and view all the answers

    What is the primary purpose of a floor plan?

    <p>To provide a detailed view of the building's interior</p> Signup and view all the answers

    What is the primary purpose of understanding the front entrance on a floor plan?

    <p>To trace the path through the house</p> Signup and view all the answers

    What is a key consideration when creating a 3-D model from 2-D plans?

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

    What is the primary purpose of identifying fixtures on a floor plan?

    <p>To determine the location of built-in items</p> Signup and view all the answers

    What is a key consideration when packing fragile items into containers?

    <p>Using extra protective material to prevent damage</p> Signup and view all the answers

    What is the primary purpose of labeling rooms on a floor plan?

    <p>To provide a clear understanding of the room's purpose</p> Signup and view all the answers

    What is a key consideration when checking the door and window placements on a floor plan?

    <p>Ensuring they provide proper access and light</p> Signup and view all the answers

    What is the primary purpose of creating a floor plan?

    <p>To provide a clear understanding of the building's layout</p> Signup and view all the answers

    What is a key consideration when determining the number of boxes needed for efficient packing?

    <p>The weight of each item</p> Signup and view all the answers

    What is the primary purpose of interpreting a floor plan?

    <p>To check for errors in the layout</p> Signup and view all the answers

    What is a key consideration when packing items into containers to reduce costs?

    <p>Using larger containers to reduce the number of containers needed</p> Signup and view all the answers

    What is the main advantage of using tree diagrams in probability?

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

    What is the conversion factor for centimeters to kilometers?

    <p>1 cm = 0.00001 km</p> Signup and view all the answers

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

    <p>To show the relationships between two categorical variables</p> Signup and view all the answers

    What is the conversion factor for milliliters to liters?

    <p>1 mL = 0.001 L</p> Signup and view all the answers

    When calculating the volume of a composite shape, what step should be performed last?

    <p>Check the sensibility of the calculated volume</p> Signup and view all the answers

    What is the primary purpose of verifying the accuracy of sources and data in media?

    <p>To evaluate the reliability of the source</p> Signup and view all the answers

    What is the primary purpose of using scales in maps and plans?

    <p>To interpret distances and dimensions accurately from a scaled representation to real-life measurements</p> Signup and view all the answers

    What is the conversion factor for grams to kilograms?

    <p>1 g = 0.001 kg</p> Signup and view all the answers

    What is the primary purpose of collecting more data over time in improving accuracy?

    <p>To increase the reliability of predictions</p> Signup and view all the answers

    When drawing a scaled map from real dimensions, what must be done to the real measurements?

    <p>Converted to scaled measurements using the chosen scale</p> Signup and view all the answers

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

    <p>It remains accurate when the map is resized</p> Signup and view all the answers

    What is the primary purpose of using ratios in building conversions?

    <p>To determine the quantities needed for construction materials</p> Signup and view all the answers

    When calculating the volume of a foundation, which formula should be used?

    <p>The formula for a rectangular box</p> Signup and view all the answers

    What is the primary purpose of using a spread rate in calculated area to liquid volume conversions?

    <p>To determine the quantity of paint needed for a surface</p> Signup and view all the answers

    What is the primary purpose of analysing probability in media?

    <p>To evaluate the accuracy of predictions and sources</p> Signup and view all the answers

    What is the primary purpose of checking sensibility in volume calculations?

    <p>To verify the calculated volume makes sense in the context of the problem</p> Signup and view all the answers

    What is the probability of rolling an odd number less than 4 on a standard six-sided dice?

    <p>1/3</p> Signup and view all the answers

    When dealing with composite shapes, what should be done first?

    <p>Identify the individual parts of the composite shape</p> Signup and view all the answers

    What is the primary disadvantage of using a number scale in maps?

    <p>It becomes inaccurate when the map is resized</p> Signup and view all the answers

    A factory produces 1000 units of a product, and 30 units are defective. What is the probability of a randomly selected unit being defective?

    <p>0.03</p> Signup and view all the answers

    What is the primary application of calculating volume in real-life scenarios?

    <p>Determining the cost of materials needed</p> Signup and view all the answers

    If a medical test has a 5% false positive rate, what is the probability that a person who tests positive actually has the disease if 1% of the population has the disease?

    <p>20%</p> Signup and view all the answers

    When creating a bar scale from a number scale, what should be done?

    <p>Use the ratio to create a visual representation</p> Signup and view all the answers

    A survey finds that 70% of people prefer sunny weather, and 30% prefer rainy weather. What is the probability that a randomly selected person prefers neither sunny nor rainy weather?

    <p>0</p> Signup and view all the answers

    A fair six-sided dice is rolled three times. What is the probability that the sum of the numbers is 18?

    <p>1/46,656</p> Signup and view all the answers

    In a survey, 40% of people responded 'yes' to a question, 30% responded 'no', and 30% did not respond. What is the probability that a randomly selected respondent answered 'yes'?

    <p>0.57</p> Signup and view all the answers

    A game has two possible outcomes: A and B. The probability of A occurring is 0.4, and the probability of B occurring is 0.5. What is the probability of neither A nor B occurring?

    <p>0.1</p> Signup and view all the answers

    A factory produces 500 units of a product per day. If 3% of the units are defective, how many defective units are produced per day?

    <p>15</p> Signup and view all the answers

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

    <p>60 cm³</p> Signup and view all the answers

    A circle has a diameter of 14 cm. What is its circumference?

    <p>42 cm</p> Signup and view all the answers

    What is the area of a triangle with a base of 5 cm and a height of 6 cm?

    <p>20 cm²</p> Signup and view all the answers

    A rectangular garden measures 10 meters by 5 meters. What is its area?

    <p>25 m²</p> Signup and view all the answers

    What is the perimeter of a square with a side length of 4 cm?

    <p>16 cm</p> Signup and view all the answers

    A cylinder has a radius of 3 cm and a height of 5 cm. What is its volume?

    <p>60 cm³</p> Signup and view all the answers

    What is the conversion factor for millilitres to litres?

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

    A rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. What is its surface area?

    <p>84 cm²</p> Signup and view all the answers

    What is the area of a circle with a radius of 7 cm?

    <p>165 cm²</p> Signup and view all the answers

    A triangle has a base of 8 cm and a height of 5 cm. What is its perimeter?

    <p>22 cm</p> Signup and view all the answers

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

    <p>It allows for simpler calculations with only one measurement needed</p> Signup and view all the answers

    When creating a bar scale from a number scale, what is the first step?

    <p>Convert the number scale into an easily readable segment</p> Signup and view all the answers

    What is the purpose of an elevation in a plan?

    <p>To display the front, back, or side view of a building</p> Signup and view all the answers

    What is the first step in drawing a scaled map from real dimensions?

    <p>Obtain real measurements of the area or object to be mapped</p> Signup and view all the answers

    What is the purpose of symbols on a floor plan?

    <p>To represent various elements and fixtures within a building</p> Signup and view all the answers

    What is the primary disadvantage of using a bar scale in maps?

    <p>It requires measuring the length of a segment and calculating the number of segments</p> Signup and view all the answers

    When determining the scale of a map, what is the first step?

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

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

    <p>It is more accurate when the map is resized</p> Signup and view all the answers

    What is the purpose of a plan?

    <p>To display the design and layout of a building or area</p> Signup and view all the answers

    What is the primary purpose of understanding scales in maps?

    <p>To interpret distances and dimensions accurately from a scaled representation to real-life measurements</p> Signup and view all the answers

    What is the primary purpose of ensuring the logical arrangement of fixtures and entryways in a floor plan?

    <p>To ensure proper access and light without compromising privacy or functionality.</p> Signup and view all the answers

    What is the key consideration when determining the number of boxes needed for efficient packing?

    <p>The weight of each item and the maximum weight limit of the larger box.</p> Signup and view all the answers

    What is the primary advantage of creating a 3-D model from 2-D plans?

    <p>It allows for accurate representations of buildings or other structures.</p> Signup and view all the answers

    What is the key aspect to check when interpreting a floor plan?

    <p>The placement of fixtures and entryways.</p> Signup and view all the answers

    What is the primary purpose of calculating the area of items when packing?

    <p>To account for the shapes and how they fit together in reality.</p> Signup and view all the answers

    What is the purpose of identifying the front entrance on a floor plan?

    <p>To determine the path through the house.</p> Signup and view all the answers

    What is the key consideration when creating a 3-D model from 2-D plans?

    <p>Understanding scales and measurements.</p> Signup and view all the answers

    What is the purpose of checking door and window placements when interpreting a floor plan?

    <p>To ensure proper access and light without compromising privacy or functionality.</p> Signup and view all the answers

    What is the primary purpose of packing items efficiently?

    <p>To reduce the cost of shipping.</p> Signup and view all the answers

    What is the key consideration when determining the scale of a 3-D model?

    <p>The level of detail required.</p> Signup and view all the answers

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