Feet and Inches Conversion
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ISEE Lower Level: Mathematics Achievement › Feet and Inches Conversion
A group of friends measured their model rockets. Anna's is 4 feet 2 inches. Ben's is 51 inches. Chloe's is 4 feet 5 inches. David's is 48 inches. Whose rocket is the longest?
Chloe
David
Ben
Anna
Explanation
To compare the lengths, convert them all to inches. Anna's rocket: (4 × 12) + 2 = 48 + 2 = 50 inches. Ben's rocket: 51 inches. Chloe's rocket: (4 × 12) + 5 = 48 + 5 = 53 inches. David's rocket: 48 inches. Comparing the lengths in inches (50, 51, 53, 48), the greatest length is 53 inches, which belongs to Chloe's rocket.
The total length of three identical wooden beams placed end-to-end is 11 feet 3 inches. What is the length of a single beam?
3 feet 1 inch
4 feet 5 inches
4 feet 1 inch
3 feet 9 inches
Explanation
To divide 11 feet 3 inches by 3, first convert the total length to inches. 11 feet × 12 inches/foot = 132 inches. Add the extra 3 inches: 132 + 3 = 135 inches. Now, divide the total inches by 3: 135 inches ÷ 3 = 45 inches. Finally, convert 45 inches back to feet and inches. 45 ÷ 12 = 3 with a remainder of 9. So, each beam is 3 feet 9 inches long.
A toy car travels at a constant speed of 2 inches per second. How many feet does the car travel in one minute?
60 feet
5 feet
10 feet
120 feet
Explanation
First, find the total distance in inches. There are 60 seconds in a minute. The car travels 2 inches each second, so in one minute it travels 60 × 2 = 120 inches. Next, convert this distance to feet. There are 12 inches in a foot. 120 inches ÷ 12 inches/foot = 10 feet.
After a carpenter cut 3 feet 5 inches from a pipe, the remaining piece was 7 feet 10 inches long. What was the original length of the pipe in inches?
115 inches
53 inches
132 inches
135 inches
Explanation
To find the original length, add the length of the cut piece to the length of the remaining piece. Add the feet: 3 + 7 = 10 feet. Add the inches: 5 + 10 = 15 inches. The original length was 10 feet 15 inches. Convert 15 inches to 1 foot 3 inches. Add this to the feet: 10 feet + 1 foot 3 inches = 11 feet 3 inches. Finally, convert the total length to inches: (11 × 12) + 3 = 132 + 3 = 135 inches.
A piece of string is 6 feet long. If Amy cuts off a piece that is one-fourth of the total length, how long is the remaining piece in inches?
18 inches
54 inches
72 inches
36 inches
Explanation
First, find the total length of the string in inches: 6 feet × 12 inches/foot = 72 inches. Amy cuts off one-fourth, so three-fourths of the string remains. Calculate the length of the remaining piece: (3/4) × 72 inches. To do this, divide 72 by 4, which is 18. Then multiply by 3: 18 × 3 = 54 inches.
Decorative rope is sold for $4 per foot. Sarah needs 90 inches of rope for a project. If the store only sells rope in whole-foot lengths, how much will she pay?
$22.50
$30.00
$32.00
$360.00
Explanation
First, determine how many feet of rope Sarah needs. Convert 90 inches to feet: 90 inches ÷ 12 inches/foot = 7.5 feet. Since the store only sells rope in whole-foot lengths, Sarah must buy 8 feet of rope to have enough. Then, calculate the cost: 8 feet × $4/foot = $32.00.
Sam is 5 feet 1 inch tall. His older brother, Tom, is 63 inches tall. What is the difference in their heights?
Tom is shorter.
2 inches
12 inches
3 inches
Explanation
To find the difference in height, both heights must be in the same unit. Let's convert Sam's height to inches. 5 feet is 5 × 12 = 60 inches. Add the extra inch: 60 + 1 = 61 inches. Sam is 61 inches tall, and Tom is 63 inches tall. The difference is 63 - 61 = 2 inches.
You and a friend build a treehouse platform that is 6 ft long. You measure carefully so the wood fits well. You remember that 1 ft equals 12 in. The floor boards must match the platform length exactly. How many inches are in 6 ft?
60 in
18 in
6 in
72 in
Explanation
This question tests the ability to convert between feet and inches, a key skill in mathematics achievement for ISEE Lower Level. Conversion between feet and inches relies on the understanding that 1 foot equals 12 inches, and this conversion is critical for solving measurement problems. In this scenario, you apply the conversion factor to translate 6 feet into inches by multiplying 6 × 12 = 72 inches, as needed for the treehouse platform. The correct answer, B (72 in), is accurate because it reflects the proper application of the conversion factor, demonstrating a clear understanding of how to switch between units. The distractor A (60 in) fails because it results from a common mistake of multiplying by 10 instead of 12, confusing the decimal system with the imperial system. To help students master this skill, practice converting between units using real-world examples, and reinforce the conversion factor through drills. Encourage students to double-check their work by reversing the conversion to ensure accuracy.
You build a treehouse ladder that measures 3 ft 6 in. You want to write the length in inches only. You use 12 in for each foot. The hardware store asks for the ladder length in inches. Convert 3 ft 6 in to inches.
42 in
39 in
30 in
36 in
Explanation
This question tests the ability to convert between feet and inches, a key skill in mathematics achievement for ISEE Lower Level. Conversion between feet and inches relies on the understanding that 1 foot equals 12 inches, and this conversion is critical for solving measurement problems. In this scenario, you apply the conversion factor to translate 3 feet 6 inches into inches by calculating (3 × 12) + 6 = 36 + 6 = 42 inches for the treehouse ladder. The correct answer, A (42 in), is accurate because it reflects the proper application of the conversion factor, demonstrating a clear understanding of how to switch between units. The distractor B (36 in) fails because it results from a common mistake of forgetting to add the extra 6 inches, only converting the feet portion. To help students master this skill, practice converting between units using real-world examples, and reinforce the conversion factor through drills. Encourage students to double-check their work by reversing the conversion to ensure accuracy.
You build a treehouse railing using a board that is 8 ft long. The plan says the railing should be 6 ft long. You measure in inches when you cut. You use 12 in for each foot. If you have a piece of wood that is 8 ft long, how many inches need to be cut to make it 6 ft?
12 in
36 in
2 in
24 in
Explanation
This question tests the ability to convert between feet and inches, a key skill in mathematics achievement for ISEE Lower Level. Conversion between feet and inches relies on the understanding that 1 foot equals 12 inches, and this conversion is critical for solving measurement problems. In this scenario, you need to find the difference between 8 feet and 6 feet, which is 2 feet, then convert to inches: 2 × 12 = 24 inches that need to be cut. The correct answer, B (24 in), is accurate because it reflects the proper application of the conversion factor, demonstrating a clear understanding of how to switch between units. The distractor A (12 in) fails because it results from a common mistake of thinking the difference is only 1 foot instead of 2 feet. To help students master this skill, practice converting between units using real-world examples, and reinforce the conversion factor through drills. Encourage students to double-check their work by reversing the conversion to ensure accuracy.