Question 1:

6 pounds of apples are needed for making each pie. How many pies can be made with 24 pounds of apples?

Question 2:

A piece of wire is x cm long. Alice cut it into 8 pieces to make earrings. Write the expression for the amount of wire used for each earring.

Question 3:

Each piece of clay is 12 mm thick. A stack of 139 pieces of clay is about how many meters high?

Question 4:

The ceiling is 8 feet 1 inches from the floor. Mike can reach up to 7 feet 3 inches when he raises his arm. If he stands on a foot stool that is 8 inches tall, can he reach the ceiling?

Question 5:

As part of their daily exercise, Samantha and Joseph were running around town. Samantha ran 6 9/12 km while Joseph ran for 3 1/6 km. How much farther did Samantha run than Joseph?

Question 6:

It takes Mary one minute to swim 1/60 of a kilometer. How far can she swim in 12 minutes?

Question 7:

A dog runs 567 mm in 27 minutes. How far (measured in cm) can the dog run in a minute?

Question 8:

The office building is x meters tall. This building has 10 levels, and each level is the same height. Write an expression for the height of each level in the building.

Question 9:

To build a house, 120 yards of rope is needed. How many houses can be built using 9 reels of rope, each of which is 750 feet long?

Question 10:

A rabbit hops 567 mm in 27 minutes. How far (measured in cm) can the rabbit hop in a minute?

Question 11:

Two kinds of birds can be found in a small tank that is 5 5/13 feet long. The parrot is 7/17 feet long and the hawk is 8/10 feet long. How much longer is the hawk?

Question 12:

It takes David one minute to swim 1/60 of a kilometer. How far can he swim in 12 minutes?

Question 13:

It takes 78 tons of cement to pave 350 meters of road. How much of a road can be paved by using one ton of cement? Give your answer in fractions.

Question 14:

Michael needs lumber 11 feet, 6 inches long to fix the garage door. He has 87 inches of lumber and 3 feet of twine. Does he have enough lumber?

Question 15:

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

Question 16:

In a class, there are 60 students. On the last Saturday of June, 4/5 of the students was not in the classroom. How many students were in the classroom?

Question 17:

John bought 2 boxes of small toys of party favors for his daughter's birthday party. The bigger box contains x toys and the smaller box contains 6 toys. He bought a total of 37 toys. Find x.

Question 18:

Rachel's kite string is 550 yards long. At first, she spread out 316 yards of the string. A 4-foot-long bird took the bait, so she let out another 122 yards of string. In yards, how much of the kite string is left in the reel?

Question 19:

In Anna's science project, there are x bundles of wires. Each bundle has 22 feet of wire. Write the expression for the total length of the wire in her science project.

Question 20:

It takes 83 tons of cement to pave 250 meters of road. How much of a road can be paved by using one ton of cement? Give your answer in fractions.

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Answer Keys

Question 1: 4

Question 2: x/8 cm

Question 3: 1.668 m

Question 4: No

Question 5: 3 7/12

Question 6: 0.2 km

Question 7: 2.1

Question 8: x/10

Question 9: 18

Question 10: 2.1

Question 11: 33/85

Question 12: 0.2 km

Question 13: 350/78

Question 14: Michael does not have enough lumber to fix the garage door.

Question 15: 18

Question 16: 12

Question 17: 31

Question 18: 112

Question 19: 22x

Question 20: 250/83

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Solutions

Question 1
Number of pies = 24 / 6 = 4.

Question 2
To find the amount of wire used for each earring, we need to divide the total length of wire (x cm) by the number of pieces (8). Therefore, the expression for the amount of wire used for each earring is x/8 cm.

Question 3
1. Convert 12 mm to meters: 12 mm / 1000 = 0.012 m. 2. Multiply the thickness of one piece by the number of pieces: 0.012 m/piece * 139 pieces = 1.668 m. 3. Therefore, a stack of 139 pieces of clay is about 1.668 meters high.

Question 4
No, Mike cannot reach the ceiling. First, convert all the measurements to inches for consistency. The ceiling is 97 inches high (8 feet 1 inch), and Mike can reach up to 87 inches (7 feet 3 inches). When he stands on the foot stool, his height will be raised by 8 inches. So his maximum reachable height will be 87 + 8 = 95 inches, which is lower than the height of the ceiling. Therefore, he cannot reach the ceiling.

Question 5
Step 1: Convert both mixed numbers to improper fractions. 6 9/12 = (6 x 12 + 9)/12 = 81/12 3 1/6 = (3 x 6 + 1)/6 = 19/6 Step 2: Find the difference between the distances run by both. 81/12 - 19/6 = (81 - 38)/12 = 43/12 Step 3: Simplify the answer and convert it back to a mixed number, if required. 43/12 = 3 7/12 Therefore, Samantha ran 3 7/12 km farther than Joseph.

Question 6
To find how far Mary can swim in 12 minutes, we need to multiply the distance she can swim in 1 minute by 12. Distance in 1 minute = 1/60 km. Distance in 12 minutes = (1/60) * 12 = 0.2 km. Therefore, Mary can swim 0.2 km in 12 minutes.

Question 7
The dog runs 21 mm/min. Converting mm to cm, the dog runs 2.1 cm/min.

Question 8
To find the height of each level, you can divide the total height of the building by the number of levels. Expression: height of each level = x/10.

Question 9
1 yard = 3 feet, so 120 yards = 360 feet. Each reel of rope is 750 feet long, so the total length of rope is 750 * 9 = 6,750 feet. To build one house, 360 feet of rope is needed, so the number of houses that can be built is 6,750 / 360 = 18.75. Since we can't build a fraction of a house, the answer is 18 houses.

Question 10
The rabbit hops 21 mm/min. Converting mm to cm, the rabbit hops 2.1 cm/min.

Question 11
Subtract the parrot's length from the hawk's length: 8/10 - 7/17 = 136/170 - 70/170 = 66/170 = 33/85

Question 12
To find out how far David can swim in 12 minutes, we need to multiply the distance he can swim in one minute by 12. 1/60 km per minute x 12 minutes = 12/60 km Simplifying the fraction, we get 1/5 km or '0.2 km'. Therefore, David can swim 0.2 km in 12 minutes.

Question 13
To find out how much road can be paved by using one ton of cement, divide the length of the road (350 meters) by the amount of cement (78 tons): 350 meters / 78 tons = 350/78 meters per ton.

Question 14
Convert 11 feet 6 inches to inches: 11*12 + 6 = 138 inches Add the available lumber in inches: 87 inches Total available lumber in inches: 87 + 3*12 = 123 inches Michael needs 138 inches of lumber, which is greater than the available 123 inches. Therefore, Michael does not have enough lumber to fix the garage door.

Question 15
Since Jason drove a total of 36 miles to and from the stadium, we can set up the following equation: 2x = 36 Dividing both sides by 2 gives us: x = 18 Therefore, the stadium is 18 miles away from home.

Question 16
To find the number of students who were in the classroom on the last Saturday of June, we need to subtract the number of students who were not in the classroom from the total number of students. So, if 4/5 of the students were not in the classroom, then 1/5 of the students were in the classroom. Therefore, the number of students in the classroom would be (1/5) x 60 = 12.

Question 17
1. Let x be the number of toys in the bigger box. 2. Write down the total number of toys equation and solve for x: x + 6 = 37 x = 37 - 6 x = 31 3. Therefore, the bigger box contains 31 toys.

Question 18
To find out how much of the kite string is left in the reel, we can subtract the total length of string that Rachel has used from the original length of the string. First, we add the length of string that Rachel initially used to the length of string she let out after the bird took the bait: 316 + 122 = 438. Then, we subtract this total from the original length of the string: 550 - 438 = 112. Therefore, 112 yards of the kite string is left in the reel.

Question 19
Total length of wire in Anna's science project can be expressed as 22x feet.

Question 20
To find the length of road that can be paved by using one ton of cement, we need to divide the total length of road (250 meters) by the total amount of cement (83 tons). The answer will give the length of road in meters that can be paved by one ton of cement. So, the solution is: 250/83.