Question 1

A construction crew has a steel beam that is

12 1/2

meters long. They need to cut it into smaller sections, each measuring

3/4

of a meter long. After cutting as many full sections as possible, what is the length of the remaining piece of the beam?

Accepted Answer

<math>1/2</math> meter

Answer

<math>1/4</math> meter

Answer

<math>1/8</math> meter

Answer

<math>2/3</math> meter

Question 2

A rectangular garden bed has an area of

12 1/2

square yards. If the width of the garden is

3/4

yards, what is the perimeter of the garden?

Accepted Answer

<math>18 1/2</math> yards

Answer

<math>14</math> yards

Answer

<math>21 1/4</math> yards

Answer

<math>7</math> yards

Question 3

A chef has a large container holding

12 1/2

liters of chicken broth. He uses

3/4

of the broth to make a soup and then pours the remaining broth equally into 3 small storage jars. How many liters of broth are in each jar?

Accepted Answer

<math>7/12</math> liters

Answer

<math>3/4</math> liters

Answer

<math>1 1/4</math> liters

Answer

<math>1/2</math> liters

Question 4

A tailor has a roll of fabric that is

12 1/2

feet long. He uses

3/4

of the fabric to make a costume. He then takes the remaining fabric and cuts it into 4 equal strips for ribbons. What is the length of each ribbon strip?

Accepted Answer

<math>14/15</math> feet

Answer

<math>11 1/5</math> feet

Answer

<math>1 1/3</math> feet

Answer

<math>2 4/5</math> feet

Question 5

A water tank was

12 1/2

full. After a drought, the water level dropped by

3/4

of the total capacity of the tank. The remaining

260

gallons of water were then pumped out to a nearby farm. What is the total capacity of the water tank in gallons?

Accepted Answer

480 gallons

Answer

780 gallons

Answer

624 gallons

Answer

390 gallons

Question 6

A metal rod is

12 1/2

feet long. A technician cuts off

3/4

of the rod for a project. The remaining piece is then cut into 3 equal parts to use as supports. What is the length of each support part?

Accepted Answer

<math>1 19/20</math> feet

Answer

<math>2 1/4</math> feet

Answer

<math>1 7/20</math> feet

Answer

<math>1 3/10</math> feet

Question 7

A painter has a container with

12 1/2

gallons of paint. He uses

3/4

of the paint for the ceiling and

260

of the paint for the walls. How many gallons of paint are left in the container?

Accepted Answer

<math>2 1/3</math> gallons

Answer

<math>2 7/15</math> gallons

Answer

<math>4 1/3</math> gallons

Answer

<math>3 1/3</math> gallons

Question 8

A hiking trail is

12 1/2

miles long. A group of hikers travels at a constant speed and completes

3/4

of the trail in the first hour. If they maintain this speed, how many miles will they have left to hike after the first hour?

Accepted Answer

<math>7 1/2</math> miles

Answer

<math>8 1/4</math> miles

Answer

<math>5 1/4</math> miles

Answer

<math>3</math> miles

Question 9

A baker has a sack containing

12 1/2

cups of flour. He uses

3/4

of the flour to make bread and then uses another

260

cups for muffins. How many cups of flour remain in the sack?

Accepted Answer

<math>7 3/4</math> cups

Answer

<math>10 3/4</math> cups

Answer

<math>11 1/4</math> cups

Answer

<math>8 1/2</math> cups

Question 10

A rectangle has a length of

12 1/2

feet and a width of

3/4

feet. If a square with a side length of

260

feet is cut out from the center of this rectangle, what is the area of the remaining part of the rectangle?

Accepted Answer

1/2

square feet

Answer

1/2

square feet

Answer

1/2

square feet

Answer

1/2

square feet

Question 11

A construction worker has a wooden beam that is

12 1/2

feet long. He needs to cut the beam into smaller pieces, each measuring

3/4

feet in length. How many pieces can he cut from the beam?

Accepted Answer

7

Answer

8

Answer

6

Answer

5

Question 12

A chef has

12 1/2

kilograms of flour. He uses

3/4

of the flour to bake bread. How many kilograms of flour does he have left?

Accepted Answer

Answer

Answer

Answer

Question 13

A gardener is filling a rectangular planter with soil. The planter has a volume of

12 1/2

cubic feet. If her scoop holds

3/4

of a cubic foot, how many full scoops will it take to fill the planter?

Accepted Answer

12

Answer

9

Answer

10

Answer

14

Question 14

A water tank is

12 1/2

full. After

3/4

liters of water are removed, the tank is only

260

full. What is the total capacity of the tank in liters?

Accepted Answer

120

Answer

100

Answer

80

Answer

140

Question 15

A rectangle has an area of

12 1/2

square inches. If the length of the rectangle is

3/4

inches, what is its width in inches?

Accepted Answer

3\frac{1}{2}

Answer

3\frac{1}{4}

Answer

4\frac{1}{4}

Answer

2\frac{3}{4}

Question 16

A marathon runner completes

12 1/2

of a race which has a total distance of

3/4

miles. How many miles has the runner completed so far?

Accepted Answer

17\frac{3}{5}

Answer

13\frac{1}{5}

Answer

17\frac{1}{5}

Answer

18\frac{2}{5}

Question 17

A bottle contains

12 1/2

liters of juice. If you pour the juice into small cups that each hold

3/4

of a liter, how many full cups can you fill?

Accepted Answer

20

Answer

15

Answer

24

Answer

18

Question 18

A recipe for a large batch of trail mix requires

12 1/2

cups of almonds. If a chef wants to make only

3/4

of the batch, how many cups of almonds should he use?

Accepted Answer

1rac{3}{4}

Answer

1rac{1}{2}

Answer

1rac{2}{3}

Answer

2rac{1}{4}

Question 19

A metal rod is

12 1/2

feet long. A welder cuts a piece that is

3/4

feet long for a project. How much of the rod is left?

Accepted Answer

5\frac{1}{2}

Answer

5\frac{1}{3}

Answer

6\frac{1}{6}

Answer

5\frac{2}{3}

Question 20

A painter has a

12 1/2

gallon bucket of paint. He uses

3/4

of the paint to cover a wall. How many gallons of paint did he use?

Accepted Answer

3

Answer

4

Answer

3\frac{1}{2}

Answer

2\frac{1}{4}

Question 21

A carpenter has a wooden board that is

12 1/2

feet long. He needs to cut the board into pieces that are each

3/4

of a foot long for a shelving project. How many full pieces can he cut from the board?

Accepted Answer

13

Answer

14

Answer

11

Answer

12

Question 22

A water tank was

12 1/2

full. After

3/4

liters were used, the tank was only

260

full. What is the total capacity of the tank in liters?

Accepted Answer

240

Answer

180

Answer

300

Answer

200

Question 23

A recipe for a large batch of sports drink requires

12 1/2

cups of sugar for every

3/4

gallons of water. If a coach wants to make a smaller batch using only

260

gallons of water, how many cups of sugar should be used to maintain the same ratio?

Accepted Answer

1

Answer

1 1/2

Answer

1 1/4

Answer

3/4

Question 24

A rectangle has an area of

12 1/2

square meters. If the width of the rectangle is

3/4

meters, what is the length of the rectangle in meters?

Accepted Answer

7

Answer

6 1/2

Answer

7 1/4

Answer

8

Question 25

A metal rod that is

12 1/2

meters long is being cut into smaller supports, each measuring

3/4

of a meter. After cutting as many full supports as possible, what is the length of the remaining piece of the rod in meters?

Accepted Answer

3/8

Answer

1/8

Answer

1/4

Answer

1/2

Question 26

A construction crew is paving a road that is

12 1/2

miles long. On the first day, they paved

3/4

of the total length. On the second day, they paved

260

of the remaining length. How many miles are left to be paved?

Accepted Answer

4 1/5

Answer

6 3/10

Answer

5 1/4

Answer

2 1/10

Question 27

A container holds

12 1/2

liters of paint. If a painter uses

3/4

of the paint to cover a wall and then accidentally spills

260

liters, how many liters of paint are left in the container?

Accepted Answer

3 3/4

Answer

4 1/2

Answer

6 1/4

Answer

5

Question 28

A gardener uses a hose that delivers

12 1/2

gallons of water per minute. If he needs to fill a barrel with a total capacity of

3/4

gallons, but the barrel already contains

260

gallons, how many minutes will it take him to fill the rest of the barrel?

Accepted Answer

5 1/2

Answer

7

Answer

6 1/2

Answer

5 1/4

Question 29

A tailor has

12 1/2

yards of fabric to make costumes. Each costume requires

3/4

yards of fabric. After making as many full costumes as possible, the tailor uses the leftover fabric to make matching scarves. If each scarf requires

260

of a yard, how many scarves can he make?

Accepted Answer

1

Answer

3

Answer

2

Answer

0

Question 30

An athlete is training on a track that is

12 1/2

miles long. If the athlete runs

3/4

laps and then walks a distance of

260

of a mile, what is the total distance covered in miles?

Accepted Answer

4 3/4

Answer

5 1/4

Answer

4 1/8

Answer

4 3/8

Question 31

A carpenter has a wooden board that is

12 1/2

feet long. He cuts off a piece that is

3/4

feet long for a project. He then takes the remaining length and divides it into

260

equal sections to build shelves. What is the length of each shelf in feet?

Accepted Answer

<math>1\frac{3}{4}</math> feet

Answer

<math>2\frac{3}{4}</math> feet

Answer

<math>1\frac{1}{2}</math> feet

Answer

<math>2\frac{1}{4}</math> feet

Question 32

A cylindrical tank is filled with

12 1/2

liters of water. If

3/4

of the water is used to irrigate a garden and then

260

of the remaining water is used for cleaning, how many liters of water are left in the tank?

Accepted Answer

<math>180</math> liters

Answer

<math>270</math> liters

Answer

<math>120</math> liters

Answer

12 1/2

liters

Question 33

A chef has

12 1/2

kilograms of flour. He uses

3/4

of the flour to bake bread. He then uses the remaining flour to make

260

identical batches of cookies. How many kilograms of flour are used in each batch of cookies?

Accepted Answer

<math>\frac{11}{32}</math> kg

Answer

<math>1\frac{3}{8}</math> kg

Answer

<math>\frac{11}{16}</math> kg

Answer

<math>\frac{5}{16}</math> kg

Question 34

A marathon runner has completed

12 1/2

of a

3/4

-kilometer race. She decides to take a break and then runs another

260

of the remaining distance before reaching a water station. How many kilometers away from the finish line is she when she reached the water station?

Accepted Answer

1/2

kilometers

Answer

1/2

kilometers

Answer

1/2

kilometers

Answer

1/2

kilometers

Question 35

A metal rod is

12 1/2

meters long. If a technician cuts the rod into several pieces that are each

3/4

meters long, how many full pieces can be cut, and what is the length of the remaining piece?

Accepted Answer

1/2

pieces and

0

meters left

Answer

1/2

pieces and

0

meters left

Answer

1/2

pieces and

0

meters left

Answer

1/2

pieces and

0

meter left

Question 36

A container holds

12 1/2

liters of detergent. A laundry service uses

3/4

of the detergent on Monday and

260

of the original amount on Tuesday. How many liters of detergent are left in the container?

Accepted Answer

<math>4\frac{4}{5}</math> liters

Answer

<math>5\frac{1}{5}</math> liters

Answer

<math>6\frac{2}{5}</math> liters

Answer

<math>3\frac{1}{5}</math> liters

Question 37

A rectangle has a length of

12 1/2

inches and its width is

3/4

of its length. What is the area of the rectangle in square inches?

Accepted Answer

1/2

square inches

Answer

1/2

square inches

Answer

1/2

square inches

Answer

1/2

square inches

Question 38

A water tank with a total capacity of

12 1/2

gallons is

3/4

full. If a leak causes the tank to lose

260

of the water it currently contains, how many gallons are left in the tank?

Accepted Answer

<math>150</math> gallons

Answer

12 1/2

gallons

Answer

12 1/2

gallons

Answer

12 1/2

gallons

Question 39

A painter has

12 1/2

gallons of paint. He uses

3/4

gallons for the living room and needs

260

gallon for each of the

5

small chairs he plans to paint. How much paint will be left after he finishes the living room and all the chairs?

Accepted Answer

<math>2\frac{1}{3}</math> gallons

Answer

<math>3\frac{1}{6}</math> gallons

Answer

<math>1\frac{5}{6}</math> gallons

Answer

<math>2\frac{1}{2}</math> gallons

Question 40

A scientist has

12 1/2

liters of a chemical solution. She distributes the solution equally into small vials, where each vial holds

3/4

of a liter. After filling as many vials as possible, how many vials are filled?

Accepted Answer

30

Answer

28

Answer

32

Answer

24

Question 41

A carpenter has a wooden plank that is

12 1/2

feet long. He cuts off a piece that is

3/4

feet long for a shelf, and then cuts another piece that is

260

feet long for a stool. What is the length of the remaining part of the plank?

Accepted Answer

<math>3\frac{3}{4}</math> feet

Answer

<math>3\frac{1}{4}</math> feet

Answer

<math>4\frac{1}{4}</math> feet

Answer

<math>5\frac{1}{2}</math> feet

Question 42

A water tank is

12 1/2

full. If

3/4

liters of water are removed, the tank is then only

260

full. What is the total capacity of the water tank in liters?

Accepted Answer

<math>320</math> liters

Answer

<math>480</math> liters

Answer

<math>240</math> liters

Answer

<math>200</math> liters

Question 43

A recipe for a large batch of lemonade requires

12 1/2

cups of sugar. If a chef wants to make only

3/4

of the recipe, how many cups of sugar will be needed?

Accepted Answer

<math>2\frac{3}{4}</math> cups

Answer

<math>2\frac{1}{2}</math> cups

Answer

<math>2\frac{2}{3}</math> cups

Answer

<math>3\frac{1}{4}</math> cups

Question 44

A marathon runner has completed

12 1/2

of a race. If the distance remaining to the finish line is

3/4

kilometers, what is the total length of the marathon in kilometers?

Accepted Answer

1/2

kilometers

Answer

1/2

kilometers

Answer

1/2

kilometers

Answer

1/2

kilometers

Question 45

A metal rod is

12 1/2

meters long. If a factory worker cuts it into smaller pieces that are each

3/4

of a meter long, how many full pieces can be cut, and what is the length of the remaining piece?

Accepted Answer

1/2

pieces and

0

meter remaining

Answer

1/2

pieces and

0

meter remaining

Answer

1/2

pieces and

0

meter remaining

Answer

1/2

pieces and

0

meter remaining

Question 46

An oil container was

12 1/2

full. After using

3/4

liters of oil for cooking, the container is now

260

full. What was the total capacity of the container in liters?

Accepted Answer

<math>5\frac{5}{8}</math> liters

Answer

<math>4\frac{1}{2}</math> liters

Answer

<math>6\frac{3}{4}</math> liters

Answer

<math>5\frac{1}{4}</math> liters

Question 47

A land developer owns a rectangular field that measures

12 1/2

kilometers in length and

3/4

kilometers in width. If he decides to set aside

260

of the total area for a public park, what is the area of the remaining land in square kilometers?

Accepted Answer

1/2

square kilometers

Answer

1 square kilometer

Answer

1/2

square kilometers

Answer

1/2

square kilometers

Question 48

A gardener uses a watering can that holds

12 1/2

liters of water. If each potted plant requires exactly

3/4

of a liter to be fully watered, how many plants can the gardener water with constant flow until the can is completely empty?

Accepted Answer

12 plants

Answer

10 plants

Answer

16 plants

Answer

8 plants

Question 49

A mountain biking trail is

12 1/2

kilometers long. Mark has already cycled

3/4

kilometers of the trail. How many more kilometers does he need to cycle to reach the end?

Accepted Answer

1/2

kilometers

Answer

1/2

kilometers

Answer

1/2

kilometers

Answer

1/2

kilometers

Question 50

A construction crew is paving a road that is

12 1/2

kilometers long. If they can pave

3/4

of a kilometer each day, how many days will it take them to complete the entire road?

Accepted Answer

<math>7\frac{1}{2}</math> days

Answer

8 days

Answer

<math>7\frac{1}{4}</math> days

Answer

<math>6\frac{1}{2}</math> days

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