- A young tree was 2 feet 9 inches tall. A year later, it had grown 1 foot 7 inches. What is the tree's new height?
Answer: 4 feet 4 inches
Add the feet and inches separately. Feet: 2 + 1 = 3 feet. Inches: 9 + 7 = 16 inches. The height is 3 feet 16 inches. Now, convert the inches to feet and inches. Since 12 inches = 1 foot, 16 inches = 1 foot and 4 inches. Add this to the original feet sum: 3 feet + 1 foot 4 inches = 4 feet 4 inches.
- A rectangular garden is 5 feet wide and 2 yards long. What is the perimeter of the garden in feet? (1 yard = 3 feet)
Answer: 22 feet
First, convert the length from yards to feet. Length = 2 yards × 3 feet/yard = 6 feet. The garden is 6 feet long and 5 feet wide. The formula for the perimeter of a rectangle is P = 2 × (length + width). So, P = 2 × (6 feet + 5 feet) = 2 × 11 feet = 22 feet.
- Leo is building a bookshelf and needs 4 shelves, each measuring 3 feet 10 inches long. What is the total length of wood Leo needs for all the shelves?
Answer: 15 feet 4 inches
First, multiply the feet and inches by 4. Feet: 4 × 3 feet = 12 feet. Inches: 4 × 10 inches = 40 inches. The total length is 12 feet 40 inches. Since 12 inches make a foot, we convert 40 inches to feet. 40 ÷ 12 = 3 with a remainder of 4. So, 40 inches is equal to 3 feet and 4 inches. Add this to the feet part: 12 feet + 3 feet 4 inches = 15 feet 4 inches.
- 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?
Answer: 24 in
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.
- 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?
Answer: $32.00
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.
- Your class plans a school play set, and the stage is 5 ft wide. You measure the backdrop paper in inches. You remember that 1 ft equals 12 in. The art team needs the width written in inches. How many inches are in 5 ft?
Answer: 60 in
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 5 feet into inches by multiplying 5 × 12 = 60 inches for the stage width. The correct answer, D (60 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 (50 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.
- A toy car travels at a constant speed of 2 inches per second. How many feet does the car travel in one minute?
Answer: 10 feet
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.
- You craft a bookshelf for your room, and it stands 60 in tall. You want to tell your parent the height in feet. You know that 12 in make 1 ft. The wood store also lists heights in feet. If a bookshelf is 60 in tall, how many feet is it?
Answer: 5 ft
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 60 inches into feet by dividing 60 ÷ 12 = 5 feet for the bookshelf height. The correct answer, B (5 ft), is accurate because it reflects the proper application of the conversion factor, demonstrating a clear understanding of how to switch between units. The distractor D (60 ft) fails because it results from a common mistake of forgetting to convert and simply changing the unit label from inches to 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.
- A square picture frame has a side length of 1 foot 4 inches. What is the perimeter of the frame in inches?
Answer: 64 inches
First, convert the side length to inches. 1 foot is 12 inches, so 1 foot 4 inches is 12 + 4 = 16 inches. A square has four equal sides, so the perimeter is 4 times the side length. Perimeter = 4 × 16 inches = 64 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?
Answer: 72 in
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 design a garden and plan a short gate that is 2 ft 10 in wide. You need the width in inches for a label. You remember 1 ft equals 12 in. The label maker only prints inches. Convert 2 ft 10 in to inches.
Answer: 34 in
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 2 feet 10 inches into inches by calculating (2 × 12) + 10 = 24 + 10 = 34 inches for the garden gate. The correct answer, B (34 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 D (24 in) fails because it results from a common mistake of forgetting to add the extra 10 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.
- 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?
Answer: 54 inches
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.
- A stack of identical books is 5 feet 3 inches tall. If each book is 9 inches high, how many books are in the stack?
Answer: 7
First, convert the total height of the stack into inches. 5 feet is 5 × 12 = 60 inches. Add the remaining 3 inches: 60 + 3 = 63 inches. Now, divide the total height in inches by the height of one book: 63 inches ÷ 9 inches/book = 7 books.
- 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?
Answer: Chloe
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?
Answer: 3 feet 9 inches
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.
- Sam is 5 feet 1 inch tall. His older brother, Tom, is 63 inches tall. What is the difference in their heights?
Answer: 2 inches
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 plan a small garden and mark a fence line that is 4 ft 8 in. You want to write the full length in inches. You use the fact that 1 ft equals 12 in. The garden club needs the number in inches for ordering. Convert 4 ft 8 in to inches.
Answer: 56 in
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 4 feet 8 inches into inches by calculating (4 × 12) + 8 = 48 + 8 = 56 inches for the garden fence. The correct answer, A (56 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 (48 in) fails because it results from a common mistake of forgetting to add the extra 8 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.
- A roll of fabric is 10 feet long. If a tailor cuts off a piece that is 4 feet 8 inches long, how much fabric is left on the roll?
Answer: 5 feet 4 inches
To subtract 4 feet 8 inches from 10 feet, we need to borrow since we can't subtract 8 inches from 0 inches. We can rewrite 10 feet as 9 feet and 12 inches. Now, we subtract: 9 feet 12 inches - 4 feet 8 inches. Subtract the inches: 12 - 8 = 4 inches. Subtract the feet: 9 - 4 = 5 feet. The remaining fabric is 5 feet 4 inches.
- 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?
Answer: 135 inches
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.
- You plan a school play set and hang a curtain that is 7 ft 3 in long. You must record the length in inches. You know 1 ft equals 12 in. The drama club writes all curtain sizes in inches. Convert 7 ft 3 in to inches.
Answer: 87 in
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 7 feet 3 inches into inches by calculating (7 × 12) + 3 = 84 + 3 = 87 inches for the curtain length. The correct answer, A (87 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 (84 in) fails because it results from a common mistake of forgetting to add the extra 3 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.
