SSAT Upper Level Quantitative Flashcards: Unit Rate Comparisons

What this deck covers

This deck focuses on Unit Rate Comparisons, 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: What is the unit price for $12 for $3$ notebooks?

Answer: $4 per notebook. Divide the total cost by the number of notebooks to determine the price per individual unit.

Flashcard 2: Which is a better price per minute: $24 for $8$ min or $15 for $5$ min?

Answer: Neither; both are $3 per minute. Compare rates by dividing cost by minutes; identical prices per minute mean no difference.

Flashcard 3: Which is faster: $240$ miles in $4$ hours or $180$ miles in $3$ hours?

Answer: Neither; both are $60$ miles per hour. Compare speeds by dividing distance by time for each; equal rates indicate no difference in speed.

Flashcard 4: What is the unit rate in dollars per hour for $96 for $8$ hours of work?

Answer: $12 per hour. Find hourly wage by dividing total earnings by hours worked to express pay per unit time.

Flashcard 5: What is the unit rate in dollars per pound for $9 for $4$ pounds?

Answer: $2.25 per pound. Calculate the rate by dividing cost by pounds to determine price per unit weight.

Flashcard 6: What is a unit rate?

Answer: A rate per $1$ unit of the second quantity (for example, dollars per $1$ item). A unit rate simplifies a ratio by expressing the first quantity relative to one unit of the second, enabling easy comparisons across different scales.

Flashcard 7: What is the unit rate in dollars per minute for $18 for $6$ minutes of parking?

Answer: $3 per minute. Compute the rate by dividing cost by minutes to find expense per unit time.

Flashcard 8: Which car is more fuel-efficient: $300$ miles on $10$ gal or $280$ miles on $8$ gal?

Answer: $280$ miles on $8$ gal. Compare fuel efficiency by dividing miles by gallons; higher miles per gallon indicates better performance.

Flashcard 9: What is the unit rate in words per minute for $900$ words in $6$ minutes?

Answer: $150$ words per minute. Determine typing speed by dividing words by minutes to find the rate per unit time.

Flashcard 10: What is the unit rate in miles per gallon for $360$ miles using $12$ gallons?

Answer: $30$ miles per gallon. Calculate efficiency by dividing miles by gallons to determine distance per unit fuel.

Flashcard 11: Which is the better value: $18$ items for $6 or $20$ items for $8?

Answer: $18$ items for $6. Evaluate value by dividing items by cost; higher items per dollar provide better value.

Flashcard 12: What is the unit rate in items per dollar for $15$ items costing $5?

Answer: $3$ items per dollar. Calculate the rate by dividing items by cost to express quantity obtained per unit currency.

Flashcard 13: What is the pace in minutes per mile for $30$ minutes over $5$ miles?

Answer: $6$ minutes per mile. Determine pace by dividing total time by distance to express minutes required per mile.

Flashcard 14: What is the unit rate in pages per minute for $45$ pages in $9$ minutes?

Answer: $5$ pages per minute. Calculate the rate by dividing pages by minutes to express productivity per unit time.

Flashcard 15: What is the speed in miles per hour for $150$ miles in $3$ hours?

Answer: $50$ miles per hour. Calculate speed by dividing total distance by time to find miles traveled per hour.

Flashcard 16: Which is a better deal per item: $14 for $7$ items or $9 for $4$ items?

Answer: $14 for $7$ items. Assess value by dividing cost by items; the lower price per item represents the better deal.

Flashcard 17: What is the unit rate in dollars per day for $45 for $9$ days?

Answer: $5 per day. Compute daily rate by dividing total cost by days to express expense per unit time.

Flashcard 18: What is the unit rate in gallons per minute for $12$ gallons in $3$ minutes?

Answer: $4$ gallons per minute. Compute the rate by dividing gallons by minutes to express flow per unit time.

Flashcard 19: Which is cheaper per ounce: $3.60 for $12$ oz or $4.50 for $18$ oz?

Answer: $4.50 for $18$ oz. Evaluate cost-effectiveness by dividing price by ounces; the lower unit cost per ounce is cheaper.

Flashcard 20: Which earns a higher hourly rate: $150 for $12$ hours or $130 for $10$ hours?

Answer: $130 for $10$ hours. Compare rates by dividing earnings by hours; the higher pay per hour is more lucrative.

Flashcard 21: What is the unit rate in dollars per item for $27 for $9$ items?

Answer: $3 per item. Determine cost per item by dividing total price by number of items.

Flashcard 22: Which is larger: $\frac{7}{2}$ dollars per item or $\frac{10}{3}$ dollars per item?

Answer: $\frac{7}{2}$ dollars per item. Compare the fractions directly; $\frac{7}{2} = 3.5$ exceeds $\frac{10}{3} \approx 3.333$, making it larger.

Flashcard 23: What is the unit rate in dollars per pound for $7.50 for $3$ pounds?

Answer: $2.50 per pound. Find the rate by dividing total cost by pounds to determine price per unit weight.

Flashcard 24: Which is the better buy: $18 for $6$ bottles or $20 for $8$ bottles?

Answer: $20 for $8$ bottles. Compare unit prices by dividing cost by quantity; the option with the lower price per bottle offers better value.

Flashcard 25: What is the unit rate in cups per person for $12$ cups shared by $8$ people?

Answer: $1.5$ cups per person. Find the share by dividing total cups by people to express amount per individual.