Unit Rate Comparisons - SSAT Upper Level: Quantitative
Card 1 of 25
Which is larger: $\frac{7}{2}$ dollars per item or $\frac{10}{3}$ dollars per item?
Which is larger: $\frac{7}{2}$ dollars per item or $\frac{10}{3}$ dollars per item?
Tap to reveal 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.
$\frac{7}{2}$ dollars per item. Compare the fractions directly; $\frac{7}{2} = 3.5$ exceeds $\frac{10}{3} \approx 3.333$, making it larger.
← Didn't Know|Knew It →
What is the unit price for $\$12$ for $3$ notebooks?
What is the unit price for $\$12$ for $3$ notebooks?
Tap to reveal answer
$\$4$ per notebook. Divide the total cost by the number of notebooks to determine the price per individual unit.
$\$4$ per notebook. Divide the total cost by the number of notebooks to determine the price per individual unit.
← Didn't Know|Knew It →
What is the unit rate in dollars per day for $\$45$ for $9$ days?
What is the unit rate in dollars per day for $\$45$ for $9$ days?
Tap to reveal answer
$\$5$ per day. Compute daily rate by dividing total cost by days to express expense per unit time.
$\$5$ per day. Compute daily rate by dividing total cost by days to express expense per unit time.
← Didn't Know|Knew It →
Which is a better deal per item: $\$14$ for $7$ items or $$9$ for $4$ items?
Which is a better deal per item: $\$14$ for $7$ items or $$9$ for $4$ items?
Tap to reveal answer
$\$14$ for $7$ items. Assess value by dividing cost by items; the lower price per item represents the better deal.
$\$14$ for $7$ items. Assess value by dividing cost by items; the lower price per item represents the better deal.
← Didn't Know|Knew It →
What is the unit rate in words per minute for $900$ words in $6$ minutes?
What is the unit rate in words per minute for $900$ words in $6$ minutes?
Tap to reveal answer
$150$ words per minute. Determine typing speed by dividing words by minutes to find the rate per unit time.
$150$ words per minute. Determine typing speed by dividing words by minutes to find the rate per unit time.
← Didn't Know|Knew It →
What is the unit rate in pages per minute for $45$ pages in $9$ minutes?
What is the unit rate in pages per minute for $45$ pages in $9$ minutes?
Tap to reveal answer
$5$ pages per minute. Calculate the rate by dividing pages by minutes to express productivity per unit time.
$5$ pages per minute. Calculate the rate by dividing pages by minutes to express productivity per unit time.
← Didn't Know|Knew It →
What is a unit rate?
What is a unit rate?
Tap to reveal 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.
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.
← Didn't Know|Knew It →
Which is cheaper per ounce: $\$3.60$ for $12$ oz or $\$4.50$ for $18$ oz?
Which is cheaper per ounce: $\$3.60$ for $12$ oz or $\$4.50$ for $18$ oz?
Tap to reveal answer
$\$4.50$ for $18$ oz. Evaluate cost-effectiveness by dividing price by ounces; the lower unit cost per ounce is cheaper.
$\$4.50$ for $18$ oz. Evaluate cost-effectiveness by dividing price by ounces; the lower unit cost per ounce is cheaper.
← Didn't Know|Knew It →
What is the unit rate in dollars per pound for $\$7.50$ for $3$ pounds?
What is the unit rate in dollars per pound for $\$7.50$ for $3$ pounds?
Tap to reveal answer
$\$2.50$ per pound. Find the rate by dividing total cost by pounds to determine price per unit weight.
$\$2.50$ per pound. Find the rate by dividing total cost by pounds to determine price per unit weight.
← Didn't Know|Knew It →
Which is faster: $240$ miles in $4$ hours or $180$ miles in $3$ hours?
Which is faster: $240$ miles in $4$ hours or $180$ miles in $3$ hours?
Tap to reveal answer
Neither; both are $60$ miles per hour. Compare speeds by dividing distance by time for each; equal rates indicate no difference in speed.
Neither; both are $60$ miles per hour. Compare speeds by dividing distance by time for each; equal rates indicate no difference in speed.
← Didn't Know|Knew It →
What is the unit rate in gallons per minute for $12$ gallons in $3$ minutes?
What is the unit rate in gallons per minute for $12$ gallons in $3$ minutes?
Tap to reveal answer
$4$ gallons per minute. Compute the rate by dividing gallons by minutes to express flow per unit time.
$4$ gallons per minute. Compute the rate by dividing gallons by minutes to express flow per unit time.
← Didn't Know|Knew It →
What is the pace in minutes per mile for $30$ minutes over $5$ miles?
What is the pace in minutes per mile for $30$ minutes over $5$ miles?
Tap to reveal answer
$6$ minutes per mile. Determine pace by dividing total time by distance to express minutes required per mile.
$6$ minutes per mile. Determine pace by dividing total time by distance to express minutes required per mile.
← Didn't Know|Knew It →
What is the speed in miles per hour for $150$ miles in $3$ hours?
What is the speed in miles per hour for $150$ miles in $3$ hours?
Tap to reveal answer
$50$ miles per hour. Calculate speed by dividing total distance by time to find miles traveled per hour.
$50$ miles per hour. Calculate speed by dividing total distance by time to find miles traveled per hour.
← Didn't Know|Knew It →
Which is the better buy: $\$18$ for $6$ bottles or $$20$ for $8$ bottles?
Which is the better buy: $\$18$ for $6$ bottles or $$20$ for $8$ bottles?
Tap to reveal answer
$\$20$ for $8$ bottles. Compare unit prices by dividing cost by quantity; the option with the lower price per bottle offers better value.
$\$20$ for $8$ bottles. Compare unit prices by dividing cost by quantity; the option with the lower price per bottle offers better value.
← Didn't Know|Knew It →
What is the unit rate in dollars per pound for $\$9$ for $4$ pounds?
What is the unit rate in dollars per pound for $\$9$ for $4$ pounds?
Tap to reveal answer
$\$2.25$ per pound. Calculate the rate by dividing cost by pounds to determine price per unit weight.
$\$2.25$ per pound. Calculate the rate by dividing cost by pounds to determine price per unit weight.
← Didn't Know|Knew It →
What is the unit rate in dollars per item for $\$27$ for $9$ items?
What is the unit rate in dollars per item for $\$27$ for $9$ items?
Tap to reveal answer
$\$3$ per item. Determine cost per item by dividing total price by number of items.
$\$3$ per item. Determine cost per item by dividing total price by number of items.
← Didn't Know|Knew It →
Which is the better value: $18$ items for $\$6$ or $20$ items for $$8$?
Which is the better value: $18$ items for $\$6$ or $20$ items for $$8$?
Tap to reveal answer
$18$ items for $\$6$. Evaluate value by dividing items by cost; higher items per dollar provide better value.
$18$ items for $\$6$. Evaluate value by dividing items by cost; higher items per dollar provide better value.
← Didn't Know|Knew It →
What is the unit rate in miles per gallon for $360$ miles using $12$ gallons?
What is the unit rate in miles per gallon for $360$ miles using $12$ gallons?
Tap to reveal answer
$30$ miles per gallon. Calculate efficiency by dividing miles by gallons to determine distance per unit fuel.
$30$ miles per gallon. Calculate efficiency by dividing miles by gallons to determine distance per unit fuel.
← Didn't Know|Knew It →
Which car is more fuel-efficient: $300$ miles on $10$ gal or $280$ miles on $8$ gal?
Which car is more fuel-efficient: $300$ miles on $10$ gal or $280$ miles on $8$ gal?
Tap to reveal answer
$280$ miles on $8$ gal. Compare fuel efficiency by dividing miles by gallons; higher miles per gallon indicates better performance.
$280$ miles on $8$ gal. Compare fuel efficiency by dividing miles by gallons; higher miles per gallon indicates better performance.
← Didn't Know|Knew It →
What is the unit rate in dollars per hour for $\$96$ for $8$ hours of work?
What is the unit rate in dollars per hour for $\$96$ for $8$ hours of work?
Tap to reveal answer
$\$12$ per hour. Find hourly wage by dividing total earnings by hours worked to express pay per unit time.
$\$12$ per hour. Find hourly wage by dividing total earnings by hours worked to express pay per unit time.
← Didn't Know|Knew It →
Which earns a higher hourly rate: $\$150$ for $12$ hours or $$130$ for $10$ hours?
Which earns a higher hourly rate: $\$150$ for $12$ hours or $$130$ for $10$ hours?
Tap to reveal answer
$\$130$ for $10$ hours. Compare rates by dividing earnings by hours; the higher pay per hour is more lucrative.
$\$130$ for $10$ hours. Compare rates by dividing earnings by hours; the higher pay per hour is more lucrative.
← Didn't Know|Knew It →
What is the unit rate in items per dollar for $15$ items costing $\$5$?
What is the unit rate in items per dollar for $15$ items costing $\$5$?
Tap to reveal answer
$3$ items per dollar. Calculate the rate by dividing items by cost to express quantity obtained per unit currency.
$3$ items per dollar. Calculate the rate by dividing items by cost to express quantity obtained per unit currency.
← Didn't Know|Knew It →
What is the unit rate in dollars per minute for $\$18$ for $6$ minutes of parking?
What is the unit rate in dollars per minute for $\$18$ for $6$ minutes of parking?
Tap to reveal answer
$\$3$ per minute. Compute the rate by dividing cost by minutes to find expense per unit time.
$\$3$ per minute. Compute the rate by dividing cost by minutes to find expense per unit time.
← Didn't Know|Knew It →
Which is a better price per minute: $\$24$ for $8$ min or $$15$ for $5$ min?
Which is a better price per minute: $\$24$ for $8$ min or $$15$ for $5$ min?
Tap to reveal answer
Neither; both are $\$3$ per minute. Compare rates by dividing cost by minutes; identical prices per minute mean no difference.
Neither; both are $\$3$ per minute. Compare rates by dividing cost by minutes; identical prices per minute mean no difference.
← Didn't Know|Knew It →
What is the unit rate in cups per person for $12$ cups shared by $8$ people?
What is the unit rate in cups per person for $12$ cups shared by $8$ people?
Tap to reveal answer
$1.5$ cups per person. Find the share by dividing total cups by people to express amount per individual.
$1.5$ cups per person. Find the share by dividing total cups by people to express amount per individual.
← Didn't Know|Knew It →