Rates and Unit Conversions - ISEE Lower Level: Quantitative Reasoning
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What is the unit rate (in $\text{pages per minute}$) for $45$ pages in $15$ minutes?
What is the unit rate (in $\text{pages per minute}$) for $45$ pages in $15$ minutes?
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$3\ \text{pages per minute}$. Divide the total pages by the total minutes to calculate the pages per minute.
$3\ \text{pages per minute}$. Divide the total pages by the total minutes to calculate the pages per minute.
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What is the unit rate (in $\text{ounces per dollar}$) for $24$ oz costing $\$6$?
What is the unit rate (in $\text{ounces per dollar}$) for $24$ oz costing $\$6$?
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$4\ \text{oz per dollar}$. Divide the total ounces by the total cost to obtain the ounces per dollar.
$4\ \text{oz per dollar}$. Divide the total ounces by the total cost to obtain the ounces per dollar.
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What is the unit rate (in $\text{dollars per pound}$) for $\$9$ for $3$ lb of apples?
What is the unit rate (in $\text{dollars per pound}$) for $\$9$ for $3$ lb of apples?
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$3\ \text{dollars per pound}$. Divide the total cost by the total pounds to find the dollars per pound.
$3\ \text{dollars per pound}$. Divide the total cost by the total pounds to find the dollars per pound.
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What is the unit rate (in $\text{minutes per mile}$) for $30$ minutes to run $5$ miles?
What is the unit rate (in $\text{minutes per mile}$) for $30$ minutes to run $5$ miles?
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$6\ \text{minutes per mile}$. Divide the total minutes by the total miles to determine the minutes per mile.
$6\ \text{minutes per mile}$. Divide the total minutes by the total miles to determine the minutes per mile.
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What is $3$ hours converted to minutes using $60\ \frac{\text{min}}{\text{hr}}$?
What is $3$ hours converted to minutes using $60\ \frac{\text{min}}{\text{hr}}$?
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$180\ \text{min}$. Multiply the hours by the conversion factor to express the time in minutes.
$180\ \text{min}$. Multiply the hours by the conversion factor to express the time in minutes.
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What is $5$ minutes converted to seconds using $60\ \frac{\text{s}}{\text{min}}$?
What is $5$ minutes converted to seconds using $60\ \frac{\text{s}}{\text{min}}$?
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$300\ \text{s}$. Multiply the minutes by the conversion factor to express the time in seconds.
$300\ \text{s}$. Multiply the minutes by the conversion factor to express the time in seconds.
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What is the unit rate (in $\text{feet per second}$) for $120$ ft in $6$ s?
What is the unit rate (in $\text{feet per second}$) for $120$ ft in $6$ s?
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$20\ \text{ft/s}$. Divide the total feet by the total seconds to calculate the feet per second.
$20\ \text{ft/s}$. Divide the total feet by the total seconds to calculate the feet per second.
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What is the unit rate (in $\text{dollars per hour}$) for earning $\$84$ in $7$ hours?
What is the unit rate (in $\text{dollars per hour}$) for earning $\$84$ in $7$ hours?
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$12\ \text{dollars per hour}$. Divide the total earnings by the total hours to find the dollars per hour.
$12\ \text{dollars per hour}$. Divide the total earnings by the total hours to find the dollars per hour.
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What is the unit rate (in $\text{gallons per minute}$) for $15$ gal in $5$ min?
What is the unit rate (in $\text{gallons per minute}$) for $15$ gal in $5$ min?
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$3\ \text{gal/min}$. Divide the total gallons by the total minutes to obtain the gallons per minute.
$3\ \text{gal/min}$. Divide the total gallons by the total minutes to obtain the gallons per minute.
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What is the unit rate (in $\text{words per minute}$) for $600$ words in $4$ minutes?
What is the unit rate (in $\text{words per minute}$) for $600$ words in $4$ minutes?
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$150\ \text{words per minute}$. Divide the total words by the total minutes to determine the words per minute.
$150\ \text{words per minute}$. Divide the total words by the total minutes to determine the words per minute.
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Which conversion factor correctly converts hours to minutes: $\text{hours}\times ?=\text{minutes}$?
Which conversion factor correctly converts hours to minutes: $\text{hours}\times ?=\text{minutes}$?
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Multiply by $60\ \frac{\text{min}}{\text{hr}}$. Hours are converted to minutes by multiplying by the factor of $60$ minutes per hour.
Multiply by $60\ \frac{\text{min}}{\text{hr}}$. Hours are converted to minutes by multiplying by the factor of $60$ minutes per hour.
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Which conversion factor correctly converts minutes to seconds: $\text{minutes}\times ?=\text{seconds}$?
Which conversion factor correctly converts minutes to seconds: $\text{minutes}\times ?=\text{seconds}$?
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Multiply by $60\ \frac{\text{s}}{\text{min}}$. Minutes are converted to seconds by multiplying by the factor of $60$ seconds per minute.
Multiply by $60\ \frac{\text{s}}{\text{min}}$. Minutes are converted to seconds by multiplying by the factor of $60$ seconds per minute.
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Which conversion factor correctly converts feet to inches: $\text{feet}\times ?=\text{inches}$?
Which conversion factor correctly converts feet to inches: $\text{feet}\times ?=\text{inches}$?
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Multiply by $12\ \frac{\text{in}}{\text{ft}}$. Feet are converted to inches by multiplying by the factor of $12$ inches per foot.
Multiply by $12\ \frac{\text{in}}{\text{ft}}$. Feet are converted to inches by multiplying by the factor of $12$ inches per foot.
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Which conversion factor correctly converts yards to feet: $\text{yards}\times ?=\text{feet}$?
Which conversion factor correctly converts yards to feet: $\text{yards}\times ?=\text{feet}$?
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Multiply by $3\ \frac{\text{ft}}{\text{yd}}$. Yards are converted to feet by multiplying by the factor of $3$ feet per yard.
Multiply by $3\ \frac{\text{ft}}{\text{yd}}$. Yards are converted to feet by multiplying by the factor of $3$ feet per yard.
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What is the total cost at a rate of $\$4$ per ticket for $7$ tickets?
What is the total cost at a rate of $\$4$ per ticket for $7$ tickets?
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$\$28$. Multiply the rate per ticket by the number of tickets to find the total cost.
$\$28$. Multiply the rate per ticket by the number of tickets to find the total cost.
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Which option is faster: $150$ miles in $3$ hours or $180$ miles in $4$ hours?
Which option is faster: $150$ miles in $3$ hours or $180$ miles in $4$ hours?
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$150\ \text{miles in}\ 3\ \text{hours}$. Compare speeds by dividing distance by time; the higher rate is faster.
$150\ \text{miles in}\ 3\ \text{hours}$. Compare speeds by dividing distance by time; the higher rate is faster.
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What is the unit rate (in $\text{dollars per item}$) for $\$12$ for $4$ items?
What is the unit rate (in $\text{dollars per item}$) for $\$12$ for $4$ items?
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$3\ \text{dollars per item}$. Divide the total cost by the number of items to determine the cost per item.
$3\ \text{dollars per item}$. Divide the total cost by the number of items to determine the cost per item.
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What is the unit rate (in $\text{miles per hour}$) for $180$ miles in $3$ hours?
What is the unit rate (in $\text{miles per hour}$) for $180$ miles in $3$ hours?
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$60\ \text{mph}$. Divide the total distance by the total time to find the speed in miles per hour.
$60\ \text{mph}$. Divide the total distance by the total time to find the speed in miles per hour.
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Which conversion factor correctly converts dollars per hour to dollars per minute?
Which conversion factor correctly converts dollars per hour to dollars per minute?
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Multiply by $\frac{1\ \text{hr}}{60\ \text{min}}$. Dollars per hour are converted to dollars per minute by multiplying by the factor that accounts for $60$ minutes in an hour.
Multiply by $\frac{1\ \text{hr}}{60\ \text{min}}$. Dollars per hour are converted to dollars per minute by multiplying by the factor that accounts for $60$ minutes in an hour.
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What is $2.5$ feet converted to inches using $12\ \frac{\text{in}}{\text{ft}}$?
What is $2.5$ feet converted to inches using $12\ \frac{\text{in}}{\text{ft}}$?
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$30\ \text{in}$. Multiply the feet by the conversion factor to express the length in inches.
$30\ \text{in}$. Multiply the feet by the conversion factor to express the length in inches.
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What is $4$ yards converted to feet using $3\ \frac{\text{ft}}{\text{yd}}$?
What is $4$ yards converted to feet using $3\ \frac{\text{ft}}{\text{yd}}$?
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$12\ \text{ft}$. Multiply the yards by the conversion factor to express the length in feet.
$12\ \text{ft}$. Multiply the yards by the conversion factor to express the length in feet.
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What is $90$ seconds converted to minutes using $60\ \frac{\text{s}}{\text{min}}$?
What is $90$ seconds converted to minutes using $60\ \frac{\text{s}}{\text{min}}$?
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$1.5\ \text{min}$. Divide the seconds by the conversion factor to express the time in minutes.
$1.5\ \text{min}$. Divide the seconds by the conversion factor to express the time in minutes.
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Which option is the better buy: $12$ oz for $\$3$ or $20$ oz for $$6$?
Which option is the better buy: $12$ oz for $\$3$ or $20$ oz for $$6$?
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$12\ \text{oz for}\ \$3$. Compare unit rates by dividing ounces by dollars; the higher value indicates the better buy.
$12\ \text{oz for}\ \$3$. Compare unit rates by dividing ounces by dollars; the higher value indicates the better buy.
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Which option is cheaper per pound: $5$ lb for $\$10$ or $8$ lb for $$20$?
Which option is cheaper per pound: $5$ lb for $\$10$ or $8$ lb for $$20$?
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$5\ \text{lb for}\ \$10$. Compare unit prices by dividing cost by pounds; the lower value is cheaper per pound.
$5\ \text{lb for}\ \$10$. Compare unit prices by dividing cost by pounds; the lower value is cheaper per pound.
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Which option has a higher rate: $240$ words in $2$ min or $300$ words in $3$ min?
Which option has a higher rate: $240$ words in $2$ min or $300$ words in $3$ min?
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$240\ \text{words in}\ 2\ \text{min}$. Compare typing rates by dividing words by minutes; the higher value has the greater rate.
$240\ \text{words in}\ 2\ \text{min}$. Compare typing rates by dividing words by minutes; the higher value has the greater rate.
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