Unit Conversions - SSAT Upper Level Quantitative

1. What is $250\ \text{cm}$ in meters?

   $2.5\ \text{m}$. Divide the length in centimeters by the conversion factor of 100 centimeters per meter to obtain meters.

2. Identify the metric prefix meaning $10^{3}$ (one thousand).

   $\text{kilo-}$. The metric prefix kilo- represents a factor of $10^{3}$, used for units like kilometers or kilograms.

3. What is $2.25\ \text{lb}$ in ounces?

   $36\ \text{oz}$. Multiply the weight in pounds by the conversion factor of 16 ounces per pound to obtain ounces.

4. Identify the metric prefix meaning $10^{-2}$ (one-hundredth).

   $\text{centi-}$. The metric prefix centi- represents a factor of $10^{-2}$, used for units like centimeters or centiliters.

5. What is the conversion factor from kilograms to grams?

   $1\ \text{kg} = 1000\ \text{g}$. This standard conversion factor defines the relationship between kilograms and grams in the metric system.

6. What is the conversion factor from liters to milliliters?

   $1\ \text{L} = 1000\ \text{mL}$. This standard conversion factor defines the relationship between liters and milliliters in the metric system.

7. What is $0.6\ \text{km}$ in meters?

   $600\ \text{m}$. Multiply the distance in kilometers by the conversion factor of 1000 meters per kilometer to obtain meters.

8. Identify the metric prefix meaning $10^{-3}$ (one-thousandth).

   $\text{milli-}$. The metric prefix milli- represents a factor of $10^{-3}$, used for units like millimeters or milligrams.

9. What is the conversion factor from meters to centimeters?

   $1\ \text{m} = 100\ \text{cm}$. This standard conversion factor defines the relationship between meters and centimeters in the metric system.

10. What is the conversion factor from pounds to ounces?

    $1\ \text{lb} = 16\ \text{oz}$. This standard conversion factor defines the relationship between pounds and ounces in the imperial system.

11. What is $4500\ \text{g}$ in kilograms?

    $4.5\ \text{kg}$. Divide the mass in grams by the conversion factor of 1000 grams per kilogram to obtain kilograms.

12. What is $3.2\ \text{L}$ in milliliters?

    $3200\ \text{mL}$. Multiply the volume in liters by the conversion factor of 1000 milliliters per liter to obtain milliliters.

13. What is the conversion factor from minutes to seconds?

    $1\ \text{min} = 60\ \text{s}$. This standard conversion factor defines the relationship between minutes and seconds in time measurement.

14. What is $135\ \text{min}$ in hours?

    $2.25\ \text{hr}$. Divide the time in minutes by the conversion factor of 60 minutes per hour to obtain hours.

15. What is $4.5\ \text{ft}$ in inches?

    $54\ \text{in}$. Multiply the length in feet by the conversion factor of 12 inches per foot to obtain inches.

16. What is the conversion factor from hours to minutes?

    $1\ \text{hr} = 60\ \text{min}$. This standard conversion factor defines the relationship between hours and minutes in time measurement.

17. What is $3\ \text{mi}$ in feet?

    $15840\ \text{ft}$. Multiply the distance in miles by the conversion factor of 5280 feet per mile to obtain feet.

18. What is the conversion factor from feet to inches?

    $1\ \text{ft} = 12\ \text{in}$. This standard conversion factor defines the relationship between feet and inches in the imperial system.

19. What is $7\ \text{m}$ in centimeters?

    $700\ \text{cm}$. Multiply the length in meters by the conversion factor of 100 centimeters per meter to obtain centimeters.

20. What is the conversion factor from yards to feet?

    $1\ \text{yd} = 3\ \text{ft}$. This standard conversion factor defines the relationship between yards and feet in the imperial system.

21. What is the conversion factor from miles to feet?

    $1\ \text{mi} = 5280\ \text{ft}$. This standard conversion factor defines the relationship between miles and feet in the imperial system.

22. What is $2\ \text{yd}$ in inches?

    $72\ \text{in}$. Convert yards to feet by multiplying by 3, then feet to inches by multiplying by 12.

23. What is $1.5\ \text{hr}$ in seconds?

    $5400\ \text{s}$. Convert hours to minutes by multiplying by 60, then minutes to seconds by multiplying by 60.

24. What is the conversion factor from kilometers to meters?

    $1\ \text{km} = 1000\ \text{m}$. This standard conversion factor defines the relationship between kilometers and meters in the metric system.

25. What is the conversion factor from centimeters to millimeters?

    $1\ \text{cm} = 10\ \text{mm}$. This standard conversion factor defines the relationship between centimeters and millimeters in the metric system.

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