Unit Rate Comparisons
Help Questions
SSAT Middle Level: Quantitative › Unit Rate Comparisons
Brand X yogurt costs $3.75 for 5 cups, and Brand Y costs $4.80 for 6 cups. Which option offers a better unit price?
Brand X is better because $3.75 is less total.
They have the same unit price.
Brand Y has the better unit price.
Brand X has the better unit price.
Explanation
This question tests middle school math skills: using unit rates to compare quantities. Unit rates help compare different quantities by standardizing one of the variables, such as price per unit or speed per hour. In this scenario, students are asked to determine which brand of yogurt offers the better unit rate based on provided data. The correct answer is B because it demonstrates a clear understanding of unit rate calculation, showing that Brand X has a lower price per cup of $0.75 compared to $0.80 for Brand Y (3.75 ÷ 5 = 0.75 and 4.80 ÷ 6 = 0.80). A common error is D, where students compare total costs without considering quantity, often due to overlooking the need for per-unit comparison. To teach this skill, focus on real-world applications like shopping or travel. Encourage students to practice with everyday examples, ensuring they check units and context. Emphasize the importance of precise calculation and reasoning.
A 1-pound bag of rice costs $1.80, and a 2-pound bag costs $3.40. Which option offers a better unit price?
The 2-pound bag has the better unit price.
They have the same unit price.
The 1-pound bag has the better unit price.
The 2-pound bag is better because it has more rice.
Explanation
This question tests middle school math skills: using unit rates to compare quantities. Unit rates help compare different quantities by standardizing one of the variables, such as price per unit or speed per hour. In this scenario, students are asked to determine which bag of rice offers the better unit rate based on provided data. The correct answer is B because it demonstrates a clear understanding of unit rate calculation, showing that the 2-pound bag has a lower price per pound of $1.70 compared to $1.80 for the 1-pound bag (3.40 ÷ 2 = 1.70 and 1.80 ÷ 1 = 1.80). A common error is D, where students choose based on total quantity without unit rates, often due to thinking more is always better. To teach this skill, focus on real-world applications like shopping or travel. Encourage students to practice with everyday examples, ensuring they check units and context. Emphasize the importance of precise calculation and reasoning.
A 10-ounce bag of trail mix costs $4.00, and a 14-ounce bag costs $5.74. Which option offers a better unit price?
The 10-ounce bag is better because it costs less total.
They have the same unit price.
The 14-ounce bag has the better unit price.
The 10-ounce bag has the better unit price.
Explanation
This question tests middle school math skills: using unit rates to compare quantities. Unit rates help compare different quantities by standardizing one of the variables, such as price per unit or speed per hour. In this scenario, students are asked to determine which bag of trail mix offers the better unit rate based on provided data. The correct answer is B because it demonstrates a clear understanding of unit rate calculation, showing that the 10-ounce bag has a lower price per ounce of $0.40 compared to $0.41 for the 14-ounce bag (4.00 ÷ 10 = 0.40 and 5.74 ÷ 14 ≈ 0.41). A common error is D, where students choose based on total cost without unit rates, often due to assuming lower total is always better. To teach this skill, focus on real-world applications like shopping or travel. Encourage students to practice with everyday examples, ensuring they check units and context. Emphasize the importance of precise calculation and reasoning.
A 64-ounce bottle of juice costs $3.84, and a 96-ounce bottle costs $6.24. Which option offers a better unit price?
The 64-ounce bottle is better because it is cheaper total.
The 64-ounce bottle has the better unit price.
The 96-ounce bottle has the better unit price.
They have the same unit price.
Explanation
This question tests middle school math skills: using unit rates to compare quantities. Unit rates help compare different quantities by standardizing one of the variables, such as price per unit or speed per hour. In this scenario, students are asked to determine which bottle of juice offers the better unit rate based on provided data. The correct answer is B because it demonstrates a clear understanding of unit rate calculation, showing that the 64-ounce bottle has a lower price per ounce of $0.06 compared to $0.065 for the 96-ounce bottle (3.84 ÷ 64 = 0.06 and 6.24 ÷ 96 = 0.065). A common error is D, where students choose based on total cost without calculating per ounce, often due to assuming smaller size is always cheaper. To teach this skill, focus on real-world applications like shopping or travel. Encourage students to practice with everyday examples, ensuring they check units and context. Emphasize the importance of precise calculation and reasoning.
A 10-ounce bottle of shampoo costs $3.90, and a 14-ounce bottle costs $5.18. Which option offers a better unit price?
The 10-ounce bottle has the better unit price.
The 14-ounce bottle is better because it costs more.
The 14-ounce bottle has the better unit price.
They have the same unit price.
Explanation
This question tests middle school math skills: using unit rates to compare quantities. Unit rates help compare different quantities by standardizing one of the variables, such as price per unit or speed per hour. In this scenario, students are asked to determine which bottle of shampoo offers the better unit rate based on provided data. The correct answer is A because it demonstrates a clear understanding of unit rate calculation, showing that the 14-ounce bottle has a lower price per ounce of approximately $0.37 compared to $0.39 for the 10-ounce bottle (5.18 ÷ 14 ≈ 0.37 and 3.90 ÷ 10 = 0.39). A common error is D, where students mistakenly think higher total cost means better value, often due to ignoring unit rates. To teach this skill, focus on real-world applications like shopping or travel. Encourage students to practice with everyday examples, ensuring they check units and context. Emphasize the importance of precise calculation and reasoning.
A 24-count box of pencils costs $4.56, and a 30-count box costs $6.00. Which option offers a better unit price?
They have the same unit price.
The 24-count box is better because it costs less total.
The 30-count box has the better unit price.
The 24-count box has the better unit price.
Explanation
This question tests middle school math skills: using unit rates to compare quantities. Unit rates help compare different quantities by standardizing one of the variables, such as price per unit or speed per hour. In this scenario, students are asked to determine which box of pencils offers the better unit rate based on provided data. The correct answer is B because it demonstrates a clear understanding of unit rate calculation, showing that the 24-count box has a lower price per pencil of $0.19 compared to $0.20 for the 30-count box (4.56 ÷ 24 = 0.19 and 6.00 ÷ 30 = 0.20). A common error is D, where students focus on total cost instead of per-unit price, often due to not performing the division. To teach this skill, focus on real-world applications like shopping or travel. Encourage students to practice with everyday examples, ensuring they check units and context. Emphasize the importance of precise calculation and reasoning.
A 12-ounce jar of peanut butter costs $3.12, and a 20-ounce jar costs $5.40. Which option offers a better unit price?
They have the same unit price.
The 12-ounce jar has the better unit price.
The 12-ounce jar is better because it costs less total.
The 20-ounce jar has the better unit price.
Explanation
This question tests middle school math skills: using unit rates to compare quantities. Unit rates help compare different quantities by standardizing one of the variables, such as price per unit or speed per hour. In this scenario, students are asked to determine which jar of peanut butter offers the better unit rate based on provided data. The correct answer is B because it demonstrates a clear understanding of unit rate calculation, showing that the 12-ounce jar has a lower price per ounce of $0.26 compared to $0.27 for the 20-ounce jar (3.12 ÷ 12 = 0.26 and 5.40 ÷ 20 = 0.27). A common error is D, where students choose based on total cost without unit rates, often due to assuming lower total means better value. To teach this skill, focus on real-world applications like shopping or travel. Encourage students to practice with everyday examples, ensuring they check units and context. Emphasize the importance of precise calculation and reasoning.
A 3-pound bag of apples costs $4.50, and a 5-pound bag costs $7.25. Which option offers a better unit price?
The 5-pound bag has the better unit price.
The 3-pound bag has the better unit price.
They have the same unit price.
The 3-pound bag is better because it is cheaper total.
Explanation
This question tests middle school math skills: using unit rates to compare quantities. Unit rates help compare different quantities by standardizing one of the variables, such as price per unit or speed per hour. In this scenario, students are asked to determine which bag of apples offers the better unit rate based on provided data. The correct answer is A because it demonstrates a clear understanding of unit rate calculation, showing that the 5-pound bag has a lower price per pound of $1.45 compared to $1.50 for the 3-pound bag (7.25 ÷ 5 = 1.45 and 4.50 ÷ 3 = 1.50). A common error is D, where students focus on total cost instead of per-pound price, often due to not calculating units. To teach this skill, focus on real-world applications like shopping or travel. Encourage students to practice with everyday examples, ensuring they check units and context. Emphasize the importance of precise calculation and reasoning.
A 5-ounce tube of toothpaste costs $2.25, and a 7-ounce tube costs $3.08. Which option offers a better unit price?
They have the same unit price.
The 5-ounce tube has the better unit price.
The 5-ounce tube is better because it is cheaper total.
The 7-ounce tube has the better unit price.
Explanation
This question tests middle school math skills: using unit rates to compare quantities. Unit rates help compare different quantities by standardizing one of the variables, such as price per unit or speed per hour. In this scenario, students are asked to determine which tube of toothpaste offers the better unit rate based on provided data. The correct answer is A because it demonstrates a clear understanding of unit rate calculation, showing that the 7-ounce tube has a lower price per ounce of $0.44 compared to $0.45 for the 5-ounce tube (3.08 ÷ 7 ≈ 0.44 and 2.25 ÷ 5 = 0.45). A common error is D, where students choose based on total cost without unit rates, often due to assuming lower total is better. To teach this skill, focus on real-world applications like shopping or travel. Encourage students to practice with everyday examples, ensuring they check units and context. Emphasize the importance of precise calculation and reasoning.
A 2-pound bag of dog food costs $5.60, and a 5-pound bag costs $13.25. Which option offers a better unit price?
The 2-pound bag is better because it costs less total.
The 2-pound bag has the better unit price.
The 5-pound bag has the better unit price.
They have the same unit price.
Explanation
This question tests middle school math skills: using unit rates to compare quantities. Unit rates help compare different quantities by standardizing one of the variables, such as price per unit or speed per hour. In this scenario, students are asked to determine which bag of dog food offers the better unit rate based on provided data. The correct answer is A because it demonstrates a clear understanding of unit rate calculation, showing that the 5-pound bag has a lower price per pound of $2.65 compared to $2.80 for the 2-pound bag (13.25 ÷ 5 = 2.65 and 5.60 ÷ 2 = 2.80). A common error is D, where students focus on total cost instead of per-pound price, often due to not dividing. To teach this skill, focus on real-world applications like shopping or travel. Encourage students to practice with everyday examples, ensuring they check units and context. Emphasize the importance of precise calculation and reasoning.