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Gr 11 Math Lit: Ch 2 sum Measurements
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Gr 11 Math Lit: Ch 2 sum Measurements

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Questions and Answers

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

  • 2.206 (correct)
  • 3.0
  • 1.8
  • 1.0
  • What is the formula to convert temperature from Celsius to Fahrenheit?

  • °F = (1.8 × °C) + 32 (correct)
  • °F = (1.2 × °C) + 28
  • °F = (2.0 × °C) + 35
  • °F = (1.5 × °C) + 30
  • What is the purpose of conversion factors in measurements?

  • To eliminate the need for conversions
  • To provide exact values for measurements
  • To simplify complex calculations
  • To switch between different units of measurement (correct)
  • 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 conversion factor used to convert volume from cubic meters to liters?

    <p>1,000</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 purpose of conversion factors specific to ingredients or materials?

    <p>To facilitate conversions between solid and liquid quantities</p> Signup and view all the answers

    What is the conversion factor used to convert volume from milliliters to grams?

    <p>Conversion Factor for Volume</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 formula for the surface area of a rectangular box?

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

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

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

    What is the conversion ratio between cubic meters and liters?

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

    What is the conversion ratio between cubic centimeters and milliliters?

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

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

    <p>To ensure that values are in the correct unit for the problem</p> Signup and view all the answers

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

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

    What is the purpose of calculating surface area and volume?

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

    What is an important consideration when converting between units?

    <p>That the conversion ratio is not always straightforward</p> Signup and view all the answers

    What is the purpose of recording a measurement or estimation?

    <p>To write down the value, ensuring that it includes the correct units and reflects the appropriate level of precision</p> Signup and view all the answers

    What is the purpose of calculating the surface area and spread rate of paint?

    <p>To determine the amount of paint needed</p> Signup and view all the answers

    What is the formula to calculate the total liters of paint needed?

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

    What is the first step in converting time recording values?

    <p>Convert the hours, minutes, and seconds to a single unit</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 breaking down time values into hours, minutes, and seconds?

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

    What is the first step in using a timetable?

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

    What is the purpose of practical tips for performing conversions?

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

    What is the key concept in interpreting time recording values?

    <p>Converting time values to a single unit</p> Signup and view all the answers

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

    <p>To use the right units and conversion factors</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 many seconds are in 5 minutes?

    <p>300</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 purpose of converting to a single unit when calculating time differences?

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

    What is the unit of measurement used to measure the weight of an object?

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

    What is the purpose of using benchmarks when estimating quantities?

    <p>To provide a known reference point for estimation</p> Signup and view all the answers

    What is the formula to convert minutes to hours?

    <p>Hours = Minutes ÷ 60</p> Signup and view all the answers

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

    <p>All of the above</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 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 purpose of error analysis in measurement?

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

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

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

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

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

    If a recipe requires 250 grams of flour, how many milliliters of flour are needed if the conversion factor is 1.25?

    <p>312.5 ml</p> Signup and view all the answers

    What is the conversion factor used to convert volume from cubic meters to liters?

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

    If a container has a volume of 2 cubic meters, how many liters does it hold?

    <p>2,000 liters</p> Signup and view all the answers

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

    <p>kg = pounds ÷ 2.206</p> Signup and view all the answers

    If a substance has a volume of 500 cubic centimeters, how many milliliters does it hold?

    <p>500 ml</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 purpose of identifying the spread rate of the paint?

    <p>To determine the amount of paint needed for a specific area</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

    Why is it important to double-check your calculations when converting between units?

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

    What is the result of converting 3 hours, 45 minutes, and 20 seconds to a single unit?

    <p>13820 seconds</p> Signup and view all the answers

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

    <p>To perform calculations involving time differences</p> Signup and view all the answers

    What is the formula to convert seconds to minutes?

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

    What is the purpose of using a timetable?

    <p>To plan and organize activities according to a specific schedule</p> Signup and view all the answers

    What is the result of converting 240 minutes to hours?

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

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

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

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

    <p>To perform calculations involving time differences</p> Signup and view all the answers

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

    <p>62 cm²</p> Signup and view all the answers

    What is the volume of a cylindrical container with a radius of 4 cm and a height of 6 cm?

    <p>384 cm³</p> Signup and view all the answers

    How many litres of water can a cubic meter hold?

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

    What is the conversion factor used to convert from cubic centimeters to milliliters?

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

    If a rectangular box has a length of 5 m, a width of 3 m, and a height of 2 m, what is its volume in cubic centimeters?

    <p>30,000,000 cm³</p> Signup and view all the answers

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

    <p>To ensure that the calculations are performed in the same unit</p> Signup and view all the answers

    If a rectangular box has a surface area of 100 cm², and each side is increased by 2 cm, what is the new surface area?

    <p>196 cm²</p> Signup and view all the answers

    What is the importance of considering the context in which the conversion is being performed?

    <p>To ensure that the conversion is relevant to the problem</p> Signup and view all the answers

    What is the volume of a rectangular box with a length of 3 m, a width of 2 m, and a height of 1 m?

    <p>3 m³</p> Signup and view all the answers

    Why is it important to record the measurement or estimation?

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

    What is the conversion factor used to convert minutes to seconds?

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

    What is the first step in calculating time differences?

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

    What is the purpose of using benchmarks when estimating quantities?

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

    What is the unit of measurement used to measure the surface area of an object?

    <p>Square meters</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 result of converting 2 hours, 30 minutes, and 40 seconds to a single unit?

    <p>9000 seconds</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 conversion factor used to convert hours to seconds?

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

    What is the purpose of measuring and estimating quantities?

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

    What is the first step in using a timetable?

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

    What is the result of converting 5 kilograms to pounds using the conversion factor 2.206?

    <p>11.531 pounds</p> Signup and view all the answers

    If a temperature is 27°C, what is the equivalent temperature in Fahrenheit using the given formula?

    <p>80.6°F</p> Signup and view all the answers

    What is the result of converting 200 grams of a substance to milliliters if the conversion factor is 1.5?

    <p>133.33 ml</p> Signup and view all the answers

    If a container has a volume of 3.5 cubic meters, how many liters does it hold?

    <p>3,500 liters</p> Signup and view all the answers

    What is the result of converting 70°F to Celsius using the given formula?

    <p>20.56°C</p> Signup and view all the answers

    What is the result of converting 250 milliliters to cubic centimeters?

    <p>250 cm³</p> Signup and view all the answers

    If a recipe requires 500 grams of flour, how many milliliters of flour are needed if the conversion factor is 1.2?

    <p>416.67 ml</p> Signup and view all the answers

    What is the result of converting 4 cubic centimeters to milliliters?

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

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

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

    A cylindrical container has a radius of 4cm and a height of 10cm. What is its volume?

    <p>502.4cm^3</p> Signup and view all the answers

    What is the volume of a rectangular box with a length of 6cm, a width of 4cm, and a height of 5cm?

    <p>120cm^3</p> Signup and view all the answers

    If a paint can hold 1 liter of paint, how many cubic centimeters does it hold?

    <p>1000cm^3</p> Signup and view all the answers

    A rectangular box has a surface area of 240cm^2. If its length is 6cm and its width is 4cm, what is its height?

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

    What is the surface area of a cylinder with a radius of 3cm and a height of 8cm?

    <p>242.88cm^2</p> Signup and view all the answers

    If a container has a volume of 2.5 liters, how many cubic centimeters does it hold?

    <p>2500cm^3</p> Signup and view all the answers

    What is the volume of a rectangular box with a length of 8cm, a width of 6cm, and a height of 4cm?

    <p>192cm^3</p> Signup and view all the answers

    A cylindrical container has a radius of 5cm and a height of 12cm. What is its surface area?

    <p>442.88cm^2</p> Signup and view all the answers

    If a paint can hold 2.5 liters of paint, how many cubic meters does it hold?

    <p>0.0025m^3</p> Signup and view all the answers

    A paint can covers 25 square meters per liter. If a wall has a surface area of 150 square meters, how many liters of paint will be needed to cover it?

    <p>7.5 liters</p> Signup and view all the answers

    What is the total number of seconds in 2 hours, 45 minutes, and 30 seconds?

    <p>10230 seconds</p> Signup and view all the answers

    A painter needs to paint a room with a surface area of 300 square meters. The paint can covers 20 square meters per liter. How many liters of paint will be needed to cover the entire room?

    <p>18 liters</p> Signup and view all the answers

    What is the total number of hours in 5400 seconds?

    <p>1.5 hours</p> Signup and view all the answers

    A painter needs to paint a wall with a surface area of 200 square meters. The paint can covers 15 square meters per liter. How many liters of paint will be needed to cover the entire wall?

    <p>13.33 liters</p> Signup and view all the answers

    What is the total number of minutes in 3600 seconds?

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

    A painter needs to paint a surface with a surface area of 400 square meters. The paint can covers 25 square meters per liter. How many liters of paint will be needed to cover the entire surface?

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

    What is the total number of seconds in 1 hour, 20 minutes, and 15 seconds?

    <p>4815 seconds</p> Signup and view all the answers

    A painter needs to paint a room with a surface area of 250 square meters. The paint can covers 12 square meters per liter. How many liters of paint will be needed to cover the entire room?

    <p>21.5 liters</p> Signup and view all the answers

    What is the total number of hours in 8100 seconds?

    <p>2.25 hours</p> Signup and view all the answers

    What is the purpose of converting between different units of measurement in the same system?

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

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

    <p>To select the appropriate tool</p> Signup and view all the answers

    What is the key concept in measuring time?

    <p>Interpreting time recording values</p> Signup and view all the answers

    What is the purpose of error analysis in measurement?

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

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

    <p>To solve problems involving speed and density</p> Signup and view all the answers

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

    <p>To enable the calculation of time differences</p> Signup and view all the answers

    What is the primary benefit of using scaling in maps and models?

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

    What is the purpose of using benchmarks when estimating quantities?

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

    What is the primary benefit of understanding the context in which the conversion is being performed?

    <p>To ensure the conversion is relevant and accurate</p> Signup and view all the answers

    If a recipe requires 150 pounds of flour, how many kilograms of flour are needed?

    <p>68.04 kg</p> Signup and view all the answers

    What is the temperature in Fahrenheit if a recipe requires 250°C?

    <p>488°F</p> Signup and view all the answers

    If a container has a volume of 1.5 cubic meters, how many liters does it hold?

    <p>1,500 l</p> Signup and view all the answers

    What is the weight in kilograms if a package has a weight of 220 pounds?

    <p>99.79 kg</p> Signup and view all the answers

    If a substance has a volume of 300 milliliters, how many cubic centimeters does it hold?

    <p>300 cm³</p> Signup and view all the answers

    What is the temperature in Celsius if a weather report states that it is 80°F?

    <p>26.67°C</p> Signup and view all the answers

    If a recipe requires 2 kilograms of sugar, how many pounds of sugar are needed?

    <p>4.409 pounds</p> Signup and view all the answers

    What is the volume in liters if a container has a volume of 2.5 cubic meters?

    <p>2,500 l</p> Signup and view all the answers

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

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

    If a cylindrical container has a radius of 4 cm and a height of 6 cm, what is its volume in milliliters?

    <p>301.59 ml</p> Signup and view all the answers

    A rectangular box has a volume of 480 cm^3. If the length and width are both 6 cm, what is the height of the box?

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

    If a container can hold 2 liters of water, what is its volume in cubic centimeters?

    <p>2000 cm^3</p> Signup and view all the answers

    What is the surface area of a cylinder with a radius of 3 cm and a height of 5 cm?

    <p>131.95 cm^2</p> Signup and view all the answers

    If a rectangular box has a length of 8 cm, a width of 5 cm, and a height of 3 cm, what is its volume in milliliters?

    <p>120.00 ml</p> Signup and view all the answers

    What is the volume of a cylindrical container with a radius of 5 cm and a height of 8 cm?

    <p>628.32 cm^3</p> Signup and view all the answers

    If a container can hold 1500 milliliters of water, what is its volume in cubic meters?

    <p>1.0 m^3</p> Signup and view all the answers

    What is the surface area of a rectangular box with a length of 10 cm, a width of 8 cm, and a height of 5 cm?

    <p>290 cm^2</p> Signup and view all the answers

    If a cylindrical container has a radius of 6 cm and a height of 10 cm, what is its surface area in square centimeters?

    <p>452.39 cm^2</p> Signup and view all the answers

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

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

    What is the purpose of calculating the total liters of paint needed?

    <p>To ensure that sufficient paint is available for the job.</p> Signup and view all the answers

    What is the key concept in measuring time?

    <p>Understanding the concept of seconds, minutes, and hours</p> Signup and view all the answers

    What is the key concept in interpreting time recording values?

    <p>Converting time values to a single unit.</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 formula to convert minutes to hours?

    <p>Hours = Minutes / 60</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

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

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

    What is the primary purpose of error analysis in measurement?

    <p>To identify potential sources of error</p> Signup and view all the answers

    What is the purpose of double-checking your calculations when converting between units?

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

    What is the formula to convert minutes to seconds?

    <p>Seconds = Minutes x 60</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 identifying the quantity to be measured or estimated?

    <p>To determine the appropriate unit of measurement</p> Signup and view all the answers

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

    <p>To make it easier to perform calculations.</p> Signup and view all the answers

    What is the formula to convert hours to seconds?

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

    What is the key concept in estimating quantities?

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

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

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

    What is the purpose of using practical tips for performing conversions?

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

    What is the formula to convert hours to seconds?

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

    What is the first step in converting time recording values?

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

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