ISEE Lower Level Quantitative Reasoning Flashcards: Rates And Unit Conversions

What this deck covers

This deck focuses on Rates And Unit Conversions, giving you a quick way to review the definitions, rules, and examples that matter most for ISEE Lower Level Quantitative Reasoning.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What is the unit rate (in $\text{pages per minute}$) for $45$ pages in $15$ minutes?

Answer: $3\ \text{pages per minute}$. Divide the total pages by the total minutes to calculate the pages per minute.

Flashcard 2: What is the unit rate (in $\text{ounces per dollar}$) for $24$ oz costing \6$?

Answer: $4\ \text{oz per dollar}$. Divide the total ounces by the total cost to obtain the ounces per dollar.

Flashcard 3: What is the unit rate (in $\text{dollars per pound}$) for \9$for$3$ lb of apples?

Answer: $3\ \text{dollars per pound}$. Divide the total cost by the total pounds to find the dollars per pound.

Flashcard 4: What is the unit rate (in $\text{minutes per mile}$) for $30$ minutes to run $5$ miles?

Answer: $6\ \text{minutes per mile}$. Divide the total minutes by the total miles to determine the minutes per mile.

Flashcard 5: What is $3$ hours converted to minutes using $60\ \frac{\text{min}}{\text{hr}}$?

Answer: $180\ \text{min}$. Multiply the hours by the conversion factor to express the time in minutes.

Flashcard 6: What is $5$ minutes converted to seconds using $60\ \frac{\text{s}}{\text{min}}$?

Answer: $300\ \text{s}$. Multiply the minutes by the conversion factor to express the time in seconds.

Flashcard 7: What is the unit rate (in $\text{feet per second}$) for $120$ ft in $6$ s?

Answer: $20\ \text{ft/s}$. Divide the total feet by the total seconds to calculate the feet per second.

Flashcard 8: What is the unit rate (in $\text{dollars per hour}$) for earning \84$in$7$ hours?

Answer: $12\ \text{dollars per hour}$. Divide the total earnings by the total hours to find the dollars per hour.

Flashcard 9: What is the unit rate (in $\text{gallons per minute}$) for $15$ gal in $5$ min?

Answer: $3\ \text{gal/min}$. Divide the total gallons by the total minutes to obtain the gallons per minute.

Flashcard 10: What is the unit rate (in $\text{words per minute}$) for $600$ words in $4$ minutes?

Answer: $150\ \text{words per minute}$. Divide the total words by the total minutes to determine the words per minute.

Flashcard 11: Which conversion factor correctly converts hours to minutes: $\text{hours}\times ?=\text{minutes}$?

Answer: Multiply by $60\ \frac{\text{min}}{\text{hr}}$. Hours are converted to minutes by multiplying by the factor of $60$ minutes per hour.

Flashcard 12: Which conversion factor correctly converts minutes to seconds: $\text{minutes}\times ?=\text{seconds}$?

Answer: Multiply by $60\ \frac{\text{s}}{\text{min}}$. Minutes are converted to seconds by multiplying by the factor of $60$ seconds per minute.

Flashcard 13: Which conversion factor correctly converts feet to inches: $\text{feet}\times ?=\text{inches}$?

Answer: Multiply by $12\ \frac{\text{in}}{\text{ft}}$. Feet are converted to inches by multiplying by the factor of $12$ inches per foot.

Flashcard 14: Which conversion factor correctly converts yards to feet: $\text{yards}\times ?=\text{feet}$?

Answer: Multiply by $3\ \frac{\text{ft}}{\text{yd}}$. Yards are converted to feet by multiplying by the factor of $3$ feet per yard.

Flashcard 15: What is the total cost at a rate of \4$per ticket for$7$ tickets?

Answer: \28$. Multiply the rate per ticket by the number of tickets to find the total cost.

Flashcard 16: Which option is faster: $150$ miles in $3$ hours or $180$ miles in $4$ hours?

Answer: $150\ \text{miles in}\ 3\ \text{hours}$. Compare speeds by dividing distance by time; the higher rate is faster.

Flashcard 17: What is the unit rate (in $\text{dollars per item}$) for \12$for$4$ items?

Answer: $3\ \text{dollars per item}$. Divide the total cost by the number of items to determine the cost per item.

Flashcard 18: What is the unit rate (in $\text{miles per hour}$) for $180$ miles in $3$ hours?

Answer: $60\ \text{mph}$. Divide the total distance by the total time to find the speed in miles per hour.

Flashcard 19: Which conversion factor correctly converts dollars per hour to dollars per minute?

Answer: 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.

Flashcard 20: What is $2.5$ feet converted to inches using $12\ \frac{\text{in}}{\text{ft}}$?

Answer: $30\ \text{in}$. Multiply the feet by the conversion factor to express the length in inches.

Flashcard 21: What is $4$ yards converted to feet using $3\ \frac{\text{ft}}{\text{yd}}$?

Answer: $12\ \text{ft}$. Multiply the yards by the conversion factor to express the length in feet.

Flashcard 22: What is $90$ seconds converted to minutes using $60\ \frac{\text{s}}{\text{min}}$?

Answer: $1.5\ \text{min}$. Divide the seconds by the conversion factor to express the time in minutes.

Flashcard 23: Which option is the better buy: $12$ oz for \3$or$20$oz for$$6$?

Answer: 12\ \text{oz for}\ \3$. Compare unit rates by dividing ounces by dollars; the higher value indicates the better buy.

Flashcard 24: Which option is cheaper per pound: $5$ lb for \10$or$8$lb for$$20$?

Answer: 5\ \text{lb for}\ \10$. Compare unit prices by dividing cost by pounds; the lower value is cheaper per pound.

Flashcard 25: Which option has a higher rate: $240$ words in $2$ min or $300$ words in $3$ min?

Answer: $240\ \text{words in}\ 2\ \text{min}$. Compare typing rates by dividing words by minutes; the higher value has the greater rate.