Rate and Measurement Problems - SSAT Middle Level Quantitative

1. What is $3$ kilometers expressed in meters?

   $3000\text{ m}$. Multiply kilometers by 1000 to convert to meters: $3 \times 1000 = 3000$.

2. What is the unit conversion for quarts to gallons?

   $1\text{ gal}=4\text{ qt}$. To convert quarts to gallons, divide by 4 since there are 4 quarts in a gallon.

3. What is $90$ minutes expressed in hours?

   $1.5\text{ hr}$. Divide minutes by 60 to convert to hours: $90 \div 60 = 1.5$.

4. What is the unit rate in dollars per pound: $12 for $3$ lb?

   $\$4\text{ per lb}$. Divide total cost by pounds to find unit rate: $\ 12 \div 3 = \ 4$ per pound.

5. What is $3$ pounds expressed in ounces?

   $48\text{ oz}$. Multiply pounds by 16 to convert to ounces: $3 \times 16 = 48$.

6. Identify the speed in mph: A car travels $120$ miles in $2$ hours.

   $60\text{ mph}$. Divide distance by time to find the rate: $120 \div 2 = 60$ miles per hour.

7. What is the unit conversion for yards to miles?

   $1\text{ mi}=1760\text{ yd}$. To convert yards to miles, divide by 1760 since there are 1760 yards in a mile.

8. What is $250$ centimeters expressed in meters?

   $2.5\text{ m}$. Divide centimeters by 100 to convert to meters: $250 \div 100 = 2.5$.

9. What is $5$ feet $8$ inches expressed in inches?

   $68\text{ in}$. Convert feet to inches and add: $5 \times 12 + 8 = 68$.

10. What is the unit conversion for minutes to hours?

    $1\text{ hr}=60\text{ min}$. To convert minutes to hours, divide by 60 since there are 60 minutes in an hour.

11. What is the unit conversion for cups to pints?

    $1\text{ pt}=2\text{ c}$. To convert cups to pints, divide by 2 since there are 2 cups in a pint.

12. What is the unit conversion for seconds to minutes?

    $1\text{ min}=60\text{ s}$. To convert seconds to minutes, divide by 60 since there are 60 seconds in a minute.

13. What is the relationship among distance, rate, and time for constant speed?

    $d=rt$. Distance equals rate multiplied by time when speed is constant.

14. What is the unit conversion for feet to yards?

    $1\text{ yd}=3\text{ ft}$. To convert feet to yards, divide by 3 since there are 3 feet in a yard.

15. What is the formula for time in terms of distance and rate?

    $t=\frac{d}{r}$. Time is found by dividing distance by rate.

16. What is the unit conversion for meters to kilometers?

    $1\text{ km}=1000\text{ m}$. To convert meters to kilometers, divide by 1000 since there are 1000 meters in a kilometer.

17. What time is needed: A cyclist goes $45$ miles at $15$ mph.

    $3\text{ hours}$. Divide distance by rate to find time: $45 \div 15 = 3$ hours.

18. What is the unit conversion for millimeters to centimeters?

    $1\text{ cm}=10\text{ mm}$. To convert millimeters to centimeters, divide by 10 since there are 10 millimeters in a centimeter.

19. What is the unit conversion for inches to feet?

    $1\text{ ft}=12\text{ in}$. To convert inches to feet, divide by 12 since there are 12 inches in a foot.

20. What is the unit conversion for centimeters to meters?

    $1\text{ m}=100\text{ cm}$. To convert centimeters to meters, divide by 100 since there are 100 centimeters in a meter.

21. What is $2.5$ hours expressed in minutes?

    $150\text{ min}$. Multiply hours by 60 to convert to minutes: $2.5 \times 60 = 150$.

22. What is the unit conversion for pints to quarts?

    $1\text{ qt}=2\text{ pt}$. To convert pints to quarts, divide by 2 since there are 2 pints in a quart.

23. What distance is traveled: A runner moves at $8$ mph for $\frac{1}{2}$ hour.

    $4\text{ miles}$. Multiply rate by time to find distance: $8 \times 0.5 = 4$ miles.

24. What is the formula for rate in terms of distance and time?

    $r=\frac{d}{t}$. Rate is calculated by dividing distance by time.

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