Length, Time, and Conversions - ISEE Lower Level Quantitative Reasoning

1. What is the average speed in mph for $120\text{ mi}$ traveled in $3\text{ hr}$?

   $40\text{ mph}$. Average speed is calculated by dividing total distance by total time, so $120$ miles divided by $3$ hours.

2. What is the conversion from miles to feet (feet per $1$ mile)?

   $1\text{ mi}=5280\text{ ft}$. This is the standard conversion factor in the customary system where one mile equals 5280 feet.

3. What is the elapsed time from $2{:}15\text{ PM}$ to $3{:}05\text{ PM}$?

   $50\text{ min}$. Calculate the time difference by adding $45$ minutes from $2:15$ to $3:00$ and $5$ minutes to $3:05$.

4. What is the conversion from yards to feet (feet per $1$ yard)?

   $1\text{ yd}=3\text{ ft}$. This is the standard conversion factor in the customary system where one yard equals three feet.

5. What is the conversion from meters to centimeters (centimeters per $1$ meter)?

   $1\text{ m}=100\text{ cm}$. This is the standard conversion factor in the metric system where one meter equals 100 centimeters.

6. What is $30\text{ in}$ in feet?

   $2.5\text{ ft}$. Divide $30$ inches by the conversion factor of $12$ inches per foot to convert to feet.

7. What is the conversion from feet to inches (inches per $1$ foot)?

   $1\text{ ft}=12\text{ in}$. This is the standard conversion factor in the customary system where one foot equals twelve inches.

8. What is $4\text{ yd}$ in feet?

   $12\text{ ft}$. Multiply $4$ yards by the conversion factor of $3$ feet per yard to convert to feet.

9. What is the conversion from kilometers to meters (meters per $1$ kilometer)?

   $1\text{ km}=1000\text{ m}$. This is the standard conversion factor in the metric system where one kilometer equals 1000 meters.

10. What is the conversion from minutes to seconds (seconds per $1$ minute)?

    $1\text{ min}=60\text{ s}$. This is the standard time conversion where one minute equals 60 seconds.

11. What is $3\text{ min}$ in seconds?

    $180\text{ s}$. Multiply $3$ minutes by the conversion factor of $60$ seconds per minute to convert to seconds.

12. What is $3600\text{ s}$ in hours?

    $1\text{ hr}$. Divide $3600$ seconds by $60$ to get minutes, then divide by $60$ again to convert to hours.

13. What is $90\text{ min}$ in hours?

    $1.5\text{ hr}$. Divide $90$ minutes by the conversion factor of $60$ minutes per hour to convert to hours.

14. What is $2\text{ hr}$ in minutes?

    $120\text{ min}$. Multiply $2$ hours by the conversion factor of $60$ minutes per hour to convert to minutes.

15. What is the conversion from decades to years (years per $1$ decade)?

    $1\text{ decade}=10\text{ yr}$. This is the standard time conversion where one decade equals 10 years.

16. What is the conversion from hours to minutes (minutes per $1$ hour)?

    $1\text{ hr}=60\text{ min}$. This is the standard time conversion where one hour equals 60 minutes.

17. What is the conversion from weeks to days (days per $1$ week)?

    $1\text{ wk}=7\text{ days}$. This is the standard time conversion where one week equals 7 days.

18. What is the elapsed time from $7{:}40\text{ AM}$ to $8{:}10\text{ AM}$?

    $30\text{ min}$. Calculate the time difference by adding $20$ minutes from $7:40$ to $8:00$ and $10$ minutes to $8:10$.

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

    $2.5\text{ m}$. Divide $250$ centimeters by the conversion factor of $100$ centimeters per meter to convert to meters.

20. What is $5\text{ ft}$ in inches?

    $60\text{ in}$. Multiply $5$ feet by the conversion factor of $12$ inches per foot to convert to inches.

21. What is $2\text{ mi}$ in feet?

    $10560\text{ ft}$. Multiply $2$ miles by the conversion factor of $5280$ feet per mile to convert to feet.

22. What is the conversion from centimeters to millimeters (millimeters per $1$ centimeter)?

    $1\text{ cm}=10\text{ mm}$. This is the standard conversion factor in the metric system where one centimeter equals 10 millimeters.

23. What is $3\text{ km}$ in meters?

    $3000\text{ m}$. Multiply $3$ kilometers by the conversion factor of $1000$ meters per kilometer to convert to meters.

24. What is the conversion from days to hours (hours per $1$ day)?

    $1\text{ day}=24\text{ hr}$. This is the standard time conversion where one day equals 24 hours.

25. What is the conversion from years to months (months per $1$ year)?

    $1\text{ yr}=12\text{ mo}$. This is the standard calendar conversion where one year equals 12 months.

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