Question 1:

A 5-storey building is 44 feet tall. Between which two whole numbers does the height of each storey lie? Give your answer in fractions.

Question 2:

David has 21 meters of blue ribbon and 42 meters of fabric. For clothing, he wants to cut the blue ribbon into smaller pieces measuring 3/7 meters each. How many smaller ribbons will he have?

Question 3:

104 feet of packing tape is needed to seal a shipping box. How many boxes can be sealed with 660 yards of packing tape?

Question 4:

Each square of paper towel is 4 centimeters long. A box of paper towels contains 75 squares. In total, About how many meters of paper towel are there?

Question 5:

To construct a bridge, 3,000 blocks of wood is needed. How many bridges can be constructed using 9 crates of wood, each of which is 900 blocks long?

Question 6:

9 feet of packing tape is needed to seal a shipping box. How many boxes can be sealed with 66 yards of packing tape?

Question 7:

The assembly of a 140-meter bridge was accomplished in 12 weeks. How much of the bridge was constructed on average each week? Give your answer in fractions.

Question 8:

Randy usually rides his skateboard about 3 4/5 hours every day. The distance between the post office and department store is 5/6 mile. Yesterday the skateboard had a problem and Randy only rode his skateboard 4/7 of the way from post office to the department store and walked the rest of the way. How far did he ride his skateboard?

Question 9:

A dining table is 3.5 feet wide and 6 feet long. It is 5 feet above the floor. What is the volume of space under the dining table?

Question 10:

The lake is x miles away from home. Maggie drove to and from the lake with a total distance of 36 miles. Find x.

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Answer Keys

Question 1: 8 4/5 and 9 1/5

Question 2: 49

Question 3: 19 boxes

Question 4: 3

Question 5: 2

Question 6: 22 boxes

Question 7: 35/3

Question 8: 20/21 mile

Question 9: 105

Question 10: 18

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Solutions

Question 1
We can divide the total height of the building (44 feet) by the number of storeys (5) to determine the height of each storey. This gives us a result of 8.8 feet per storey. Since we're looking for the whole numbers between which the height of each storey lies, we can round down and round up to get our answer. Therefore, the height of each storey lies between 8 and 9 feet. Writing this as a fraction, we have 8 4/5 feet (lower bound) and 9 1/5 feet (upper bound). Thus, the answer is between the fractions 8 4/5 and 9 1/5.

Question 2
To find out how many smaller ribbons David will have, we need to divide the total length of blue ribbon by the length of each smaller ribbon. Total length of blue ribbon = 21 meters Length of each smaller ribbon = 3/7 meters Number of smaller ribbons = 21 / (3/7) = 49 smaller ribbons. Therefore, David will have 49 smaller ribbons.

Question 3
1. Convert 660 yards to feet: 660 yards * 3 = 1980 feet 2. Divide the total amount of tape by the amount needed for each box: 1980 feet / 104 feet = 19.038 3. Round down to the nearest whole number since you can't have a fraction of a box: 19 boxes

Question 4
Each square of paper towel is 4 centimeters long. Therefore, a box of paper towels, which contains 75 squares, is 75 x 4 = 300 centimeters. To convert centimeters to meters, we divide by 100: 300 / 100 = 3 meters.

Question 5
Each crate of wood has 900 blocks, so the total number of blocks is 900 * 9 = 8,100 blocks. To construct one bridge, 3,000 blocks of wood is needed, so the number of bridges that can be constructed is 8,100 / 3,000 = 2.7. Since we can't construct a fraction of a bridge, the answer is 2 bridges.

Question 6
1. Convert 66 yards to feet: 66 yards * 3 = 198 feet 2. Divide the total amount of tape by the amount needed for each box: 198 feet / 9 feet = 22 3. Round down to the nearest whole number since you can't have a fraction of a box: 22 boxes

Question 7
To find the amount of the bridge constructed on average each week, we need to divide the total length of the bridge (140 meters) by the number of weeks it took to construct (12 weeks). This gives us the fraction 140/12, which simplifies to 35/3. Therefore, on average, 35/3 meters of the bridge were constructed each week.

Question 8
20/21 mile

Question 9
The volume of the space under the dining table is the same as the volume of a rectangular prism. We can find the volume by multiplying the length, width, and height. The length is 6 feet, the width is 3.5 feet, and the height is 5 feet. Volume = length x width x height Volume = 6 ft x 3.5 ft x 5 ft Volume = 105 cubic feet

Question 10
Since Maggie drove a total of 36 miles to and from the lake, we can set up the following equation: 2x = 36 Dividing both sides by 2 gives us: x = 18 Therefore, the lake is 18 miles away from home.