SSAT Upper Level Quantitative Flashcards: Rate And Unit Word Problems

What this deck covers

This deck focuses on Rate And Unit Word Problems, giving you a quick way to review the definitions, rules, and examples that matter most for SSAT Upper Level Quantitative.

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: If apples cost $6 for $4$ lb, what is the unit price in \/\text{lb}$?

Answer: \1.50/\text{lb}$. Divide total cost by weight in pounds to determine the price per pound.

Flashcard 2: State the unit conversion for $1$ kilometer in meters.

Answer: $1\text{ km}=1000\text{ m}$. Metric length conversion where one kilometer equals one thousand meters.

Flashcard 3: State the unit conversion for $1$ foot in inches.

Answer: $1\text{ ft}=12\text{ in}$. Imperial length conversion where one foot equals twelve inches.

Flashcard 4: State the unit conversion for $1$ meter in centimeters.

Answer: $1\text{ m}=100\text{ cm}$. Metric length conversion where one meter equals one hundred centimeters.

Flashcard 5: A cyclist rides $18$ km in $45$ min. What is the speed in km/h?

Answer: $24\text{ km/h}$. Divide distance by time in hours (converting minutes to hours) to find speed.

Flashcard 6: A car uses $9$ gallons to go $270$ miles. What is the fuel efficiency in mpg?

Answer: $30\text{ mpg}$. Divide miles traveled by gallons used to compute miles per gallon.

Flashcard 7: If a machine makes $12$ parts in $4$ minutes, how many parts does it make in $15$ minutes?

Answer: $45\text{ parts}$. Determine rate per minute, then multiply by total time to find parts produced.

Flashcard 8: A tank holds $60$ gallons and drains at $5\text{ gal/min}$. How long to empty it?

Answer: $12\text{ min}$. Divide tank capacity by drainage rate to find time to empty in minutes.

Flashcard 9: Find the distance traveled at $12\text{ m/s}$ for $15\text{ s}$.

Answer: $180\text{ m}$. Multiply speed in meters per second by time in seconds to find distance in meters.

Flashcard 10: Identify the unit rate: $150$ miles in $3$ hours equals how many mph?

Answer: $50\text{ mph}$. Divide total distance by time to compute the average rate in miles per hour.

Flashcard 11: State the unit conversion for $1$ pound in ounces.

Answer: $1\text{ lb}=16\text{ oz}$. Imperial weight conversion where one pound equals sixteen ounces.

Flashcard 12: State the unit conversion for $1$ hour in minutes.

Answer: $1\text{ hr}=60\text{ min}$. Standard time conversion where one hour equals sixty minutes.

Flashcard 13: A printer makes $24$ pages in $3$ minutes. What is the rate in pages per minute?

Answer: $8\text{ pages/min}$. Divide total pages by time in minutes to find the printing rate.

Flashcard 14: State the formula relating distance, rate, and time.

Answer: $d=rt$. This formula calculates distance as the product of constant rate and time elapsed.

Flashcard 15: A runner completes $6$ miles in $48$ minutes. What is the pace in minutes per mile?

Answer: $8\text{ min/mi}$. Divide total time by distance to find pace in minutes per mile.

Flashcard 16: State the unit conversion for $1$ minute in seconds.

Answer: $1\text{ min}=60\text{ s}$. Standard time conversion where one minute equals sixty seconds.

Flashcard 17: State the unit conversion for $1$ mile in feet.

Answer: $1\text{ mi}=5280\text{ ft}$. Imperial length conversion where one mile equals five thousand two hundred eighty feet.

Flashcard 18: Find the time needed to travel $120$ miles at $40\text{ mph}$.

Answer: $3\text{ hr}$. Divide distance in miles by rate in miles per hour to find time in hours.

Flashcard 19: State the unit conversion for $1$ gallon in quarts.

Answer: $1\text{ gal}=4\text{ qt}$. Imperial volume conversion where one gallon equals four quarts.

Flashcard 20: State the unit conversion for $1$ yard in feet.

Answer: $1\text{ yd}=3\text{ ft}$. Imperial length conversion where one yard equals three feet.

Flashcard 21: Convert a speed of $90\text{ mph}$ to miles per minute.

Answer: $1.5\text{ mi/min}$. Divide miles per hour by sixty to convert to miles per minute.

Flashcard 22: A recipe uses $\frac{3}{4}$ cup sugar per batch. How many cups for $6$ batches?

Answer: $\frac{9}{2}\text{ cups}$. Multiply sugar per batch by number of batches to find total cups needed.

Flashcard 23: Two machines make parts at $5$ parts/min and $7$ parts/min. What is the combined rate?

Answer: $12\text{ parts/min}$. Add individual rates of machines working together to find combined production rate.

Flashcard 24: Convert a speed of $3\text{ mi/min}$ to miles per hour.

Answer: $180\text{ mph}$. Multiply miles per minute by sixty to convert to miles per hour.

Flashcard 25: A map scale is $1$ inch : $20$ miles. How many miles does $3.5$ inches represent?

Answer: $70\text{ miles}$. Multiply map distance by scale ratio to convert to actual miles.