Measurement With Unit Rates
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ISEE Lower Level: Mathematics Achievement › Measurement With Unit Rates
If paint covers 200 square feet per gallon, how many gallons are needed for 600 square feet?
3 gallons
2 gallons
0.33 gallons
800 gallons
Explanation
This question tests the ability to solve measurement problems using unit rates on the ISEE Lower Level. Understanding unit rates involves calculating how one unit relates to another, such as miles per hour or cost per item. In this specific problem, students must apply the given unit rate of 200 square feet per gallon to determine how many gallons are needed for 600 square feet. The correct answer, Choice B (3 gallons), is calculated by dividing the total area (600 square feet) by the coverage per gallon (200 square feet per gallon): 600 ÷ 200 = 3 gallons, which shows a correct understanding of applying unit rates. Choice C (800 gallons) is incorrect because it reflects a common student error of adding the numbers instead of dividing (600 + 200), while Choice D (0.33 gallons) results from dividing in the wrong order (200 ÷ 600). To help students, encourage them to practice identifying unit rates in various contexts and performing calculations step-by-step. Teach students to double-check units and ensure each calculation step logically follows from the last, remembering that number of units needed = total amount ÷ amount per unit.
If paint covers 150 square feet per gallon, how many gallons are needed for 450 square feet?
2 gallons
3 gallons
0.30 gallons
300 gallons
Explanation
This question tests the ability to solve measurement problems using unit rates on the ISEE Lower Level. Understanding unit rates involves calculating how one unit relates to another, such as miles per hour or cost per item. In this specific problem, students must apply the given unit rate of 150 square feet per gallon to determine how many gallons are needed for 450 square feet. The correct answer, Choice B (3 gallons), is calculated by dividing the total area (450 square feet) by the coverage per gallon (150 square feet per gallon): 450 ÷ 150 = 3 gallons, which shows a correct understanding of applying unit rates. Choice C (300 gallons) is incorrect because it reflects a common student error of subtracting the numbers (450 - 150), while Choice D (0.30 gallons) results from dividing in the wrong order (150 ÷ 450 ≈ 0.33). To help students, encourage them to practice identifying unit rates in various contexts and performing calculations step-by-step. Teach students to double-check units and ensure each calculation step logically follows from the last, remembering that number of units needed = total amount ÷ amount per unit.
If a car travels at 45 miles per hour, how long will it take to travel 90 miles?
1 hour
45 hours
2 hours
4 hours
Explanation
This question tests the ability to solve measurement problems using unit rates on the ISEE Lower Level. Understanding unit rates involves calculating how one unit relates to another, such as miles per hour or cost per item. In this specific problem, students must apply the given unit rate of 45 miles per hour to determine how long it takes to travel 90 miles. The correct answer, Choice B (2 hours), is calculated by dividing the total distance (90 miles) by the speed (45 miles per hour): 90 ÷ 45 = 2 hours, which shows a correct understanding of applying unit rates. Choice C (45 hours) is incorrect because it reflects a common student error of using the speed as the answer without performing any calculation, while Choice A (1 hour) might result from incorrectly halving the distance without considering the speed. To help students, encourage them to practice identifying unit rates in various contexts and performing calculations step-by-step. Teach students to double-check units and ensure each calculation step logically follows from the last, remembering that time = distance ÷ speed.
If bananas cost $0.80 per pound, what is the total cost for 6 pounds?
$0.13
$4.80
$5.20
$6.80
Explanation
This question tests the ability to solve measurement problems using unit rates on the ISEE Lower Level. Understanding unit rates involves calculating how one unit relates to another, such as miles per hour or cost per item. In this specific problem, students must apply the given unit rate of $0.80 per pound to determine the total cost for 6 pounds of bananas. The correct answer, Choice A ($4.80), is calculated by multiplying the price per pound ($0.80) by the number of pounds (6): $0.80 × 6 = $4.80, which shows a correct understanding of applying unit rates. Choice C ($0.13) is incorrect because it reflects a common student error of dividing instead of multiplying ($0.80 ÷ 6 ≈ $0.13), while Choice B ($6.80) might result from adding instead of multiplying or making a calculation error. To help students, encourage them to practice identifying unit rates in various contexts and performing calculations step-by-step. Teach students to double-check units and ensure each calculation step logically follows from the last, remembering that total cost = price per unit × number of units.