Fifth grade math application questions with answers

1: There are 90 table tennis balls in the sporting goods. If two are put in a box, can they be completely filled? If five are put in a box, can they be completely filled? Why?

90#2=45 boxes

90#5=18 boxes

Answer: If you put one box for every two, it can be completely filled. If you put one for every five The box can be packed just right. Because 90 is divisible by five.

2: There are 57 rubber balls in the sports store, and every three balls are packed in a box. Can they be packed completely?

57#3+19 boxes

Answer: It can be completely filled.

3: Two people, A and B, type a 10,000-word document. A types 115 words per minute and B types 135 words per minute. How many minutes can it take to finish typing?

10000# (115+135) = 40 points

Answer: You can finish the game in 40 minutes.

4: The fifth-grade students planted trees, and the groups of 13 or 14 people were divided into groups. How many fifth-grade students participated in tree planting?

13X14=192 people

Answer: There are at least 192 people in fifth grade participating in tree planting.

Although the following questions are application questions, they are related to equations. I used equations to answer them.

5: Two cars are traveling in opposite directions from one place. One car travels 31 kilometers per hour, and the other car travels 44 kilometers per hour. After how many minutes, the two cars will be 300 kilometers apart?

< p>Equation:

Solution: Two cars meet after X time.

31X+44X=300

75X=300

X =4

4 hours = 240 minutes

Answer: After 240 minutes, the two vehicles will be 300 kilometers apart.

6: The two engineering teams will** *A 119-meter-long tunnel is excavated at the same time, and the two teams are working on it from both ends. Team A digs 4 meters every day, and team B digs 3 meters every day. How many days will it take to dig through the tunnel?

Explanation: Assume that the tunnel is dug after Dig the tunnel.

7: There are 140 people in the school chorus and dance team. The number of chorus team is 6 times that of dance team. How many people are there in dance team?

Solution: Suppose there are X people in the dance team

6X+X=140

7X=140

X=20 people

Answer: There are 20 people in the dance team.

It’s not an equation problem from here on.

8: Two brothers go from home to the gymnasium at the same time. The road is 1300 meters long. The brother walks 80 meters per minute. , the younger brother rode a bicycle at a speed of 180 meters per minute to the gymnasium and returned immediately. He met his elder brother on the way. How many minutes had the elder brother walked?

1300X2=2600 meters 2600#(1880)

1300X2=2600 meters 2600#(1880)

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=2600#260

=10 points

Answer: My brother left for 10 minutes.

9:: Children’s Day , Teacher Wang bought 360 biscuits, 480 candies, and 400 fruits, and made exquisite small gift bags to give to the children as gifts. How many small gift bags can be made at most?

3648400=1240

Answer: Up to 1240 small gift bags can be made.

10: Naughty bought 40 balloons and invited classmates to come home to compete in blowing balloons. In order to divide the balloons equally, Naughty should Invite a few classmates to compete in blowing balloons? Naughty people will not participate.

40#2=20 people 40#4=10 people 40#5=8 people

40#8=5 people 40#@0=4 people 40#20=2 people

Answer: There are 6 ways to invite classmates, namely: 20 people, 10 people, 5 people, 8 people, 4 people, 2 people .

11: A trapezoidal corn field, with an upper base of 15 meters, a lower base of 24 meters, and a height of 18 meters. On average, 9 corn plants are planted per square meter. How many plants can be planted in this land in one day? Corn?

(15+24)X18#2=351 square meters

351X9=3195 plants

Answer: This land can grow 3159 corn plants.

12: The number of students in a certain class is less than 100. When lining up, there are exactly one more student in each row of 5, 4 and 3. How many students are there in this class?

5X4X3 =60 people 61=61 people

Answer: There are 61 people in this class.

13: Wang Yue has a box of chocolate candies, 7, 5, 3 each time The number of chocolate candies is 1. How many chocolate candies are there in this box?

7X5X3=105 pieces 105+1=106 pieces

Answer: There are at least 106 chocolate candies in this box. .

14: There is a rectangular corridor 15 meters long and 1.2 meters wide in Chenguang Community that needs to be paved with square tiles. The designer has prepared square tiles with a side length of 30 cm. Please calculate: How many square tiles are needed? How many square bricks are there? If each square brick costs 3 yuan, how much will it cost to pave this corridor?

Yuan?

15 meters = 150 decimeters 1.2 meters = 12 decimeters 30 centimeters = 3 decimeters

150X12=1800 square decimeters 3X3=9 square decimeters

1800#9 = 200 blocks 200 In a quadrilateral experimental field, one base is 70 meters long and the height is 45 meters, and the other base is 90 meters long. How many meters is the height?

70X45=3150 square meters 3150#90=35 meters

Answer: The height is 35 meters.

16: A batch of steel pipes are stacked in a pile. There are 10 steel pipes on the bottom layer. One less steel pipe is placed on each upper layer, and 5 steel pipes are placed on the upper layer. This How many steel pipes are there in the batch?

10-5+1=6 layers (15)X6#2

=15X6#2

=90# 2

=45 pieces

Answer: There are 45 steel pipes in this batch.

Wait————and————

1. Donggao Village will build a rectangular reservoir, which is planned to be able to store 720 tons of water. It is known that the length of the pool is 18 meters, the width is 8 meters, and the depth is at least how many meters? (1 cubic meter of water weighs 1 ton.) (Answer with equations)

2. A rectangular swimming pool is 50 meters long and 25 meters wide. The original water depth in the pool is 1.2 meters. If a water pump is used to drain water, 2.5 cubic meters per minute will be drained. How many hours will it take to drain the water?

3. A rectangular gasoline barrel has a bottom area of ??16 square decimeters and a height of 6 decimeters. If 1 liter of gasoline contains 0.74 kilograms, how many kilograms of gasoline can it hold?

4. Use 2100 cubes with sides of 1 cm to form a cuboid. Its height is 1 decimeter, and its length and width are both greater than its height. What are its length and width in centimeters?

First question:

Solution: The depth is at least X meters,

18*8X=720

144X=720

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X=5

Answer: The depth is at least 5 meters.

Second question:

50*25*1.2=1500 (cubic meters)

1500/25=600 (minutes)

600 minutes=10 hours

Answer: It takes 10 hours.

Question 3:

16*6=96 cubic meters=96 liters

96*0.74=71.04 kilograms

Answer: This oil drum can hold 71.04 kilograms.

Question 4:

1 decimeter = 10 centimeters

2100/10=210 (cm)

210/70= 3 (cm) or 210/30 = 70 (cm)

Answer: The length is 70 cm; the width is 3 cm; or the length is 30; the width is 7 cm.

Question 5:

There is a cube with a side length of 2 cm. What is the surface area of ??the cube?

Answer: 2*2*6=24 (square centimeters)

Question 6:

There is a cuboid with a length of 2 cm and a height of 2 cm. The width is 1 cm, what is the surface area?

Answer: (2*2+2*1+2*1)*2=16 (square centimeters)

Question 7: A rectangular wooden board, 2 meters long, It is 5 meters wide and 8 meters thick. What is its surface area in square meters? How many cubic meters is the volume?

Answer: Surface area: (2*5+2*8+5*8)*2=132 (square meters)

Volume: 2*5*8=80 (cubic meters)

Cathedral 8: The edge length of a cube oil drum is 0.8 meters. What is its volume in liters? How many square decimeters of iron sheet are needed to make this oil barrel?

0.8*0.8*0.8=0.512 (square meter) = 512 (liter)

0.8*0.8*6=3.084 (square meters) = 348 (square decimeters)

Leader 9: There are three wooden sticks, 12 cm, 44 cm, and 56 cm long respectively.

We need to cut them all into small sticks of the same length, with no leftovers allowed. How many centimeters can each stick be at its longest?

Answer: What we are looking for here is the greatest common divisor of 12, 44, 56! Calculate it yourself!

Question 10: A cube fish tank without a lid, the edge length 50cm, what is the minimum size of glass needed?

Answer: 50*50*5=12500 (square centimeters)

Question 11: A pack of candies can be divided exactly between 8 or 10 people. This pack can be divided exactly. How many pieces of candy are there at least?

Answer: Here is the least common multiple of 8 and 10.

Question 12: There is a box of milk, divided between 5 or 7 people, and there is still one bottle of milk left. How many bottles are there in this box of milk?

Answer: What you are looking for here is The least common multiple of 5 and 7 is + 1

Question 13: The length of a rectangle is 40 meters and the width is 45 meters. It is equal to the area of ??another parallelogram with a base of 75 meters. This parallelogram has a length of 40 meters and a width of 45 meters. How many meters high is it?

Answer: 40*45=1800 (square meters)

1800/75=24 (meters)

Question 14: The area of ??the triangle is 3.4 square meters Meters, what is the area of ??a parallelogram with the same height as it?

Answer: 3.4*2=6.8 (square meters)

Question 15: A rectangular pool is 8.5 meters long, 4 meters wide, and 1.5 meters deep. The bottom area of ??this pool is How many square meters?

Answer: 8.5*4=34 (square meters)

Question 16: A rectangular wooden box is 12 decimeters long, 8 decimeters wide and 6.5 decimeters high. If How many square decimeters is the area covered by paint on its perimeter?

Answer: 12*8+(12*6.5+8*6.5)*2=356 (square decimeter)

Question 17: The upper and lower base of the trapezoid is 5 meters. The base is 12 meters and the height is 8 meters. What is its area?

Answer: (5+12)*8=68 (square meters)

Question 18: Make a rectangular box with a length of 0.8 meters, a width of .6 meters, and a height of 0.4 meters . How many materials are needed to make this box?

Answer: (0.9*0.6+0.6*0.4+0.9*0.4)*2=228 (square meters)

Question 19: The edge length of a cube carton is 0.6 meters. How to make How much material is needed for a cardboard box?

Answer: 0.6*0.6*6=2.16 (square meters)

Question 20: Xiao Mingli’s school is 1,000 meters away. If he walks 100 meters per minute, how many hours will it take him to return? To school?

Answer: 1000/100=10 (minutes) = 1/6 hour 21. The greatest common factor of two numbers is 30, and their least common multiple is 180. It is known that one of the numbers is 180, find Another number?

Answer: 30

22. The total length of the sports field is 96 meters from one end to the other. It turns out that a small red flag is placed every 4 meters from one end to the other. , now it is necessary to insert a small red flag every 6 meters. How many small red flags are there that cannot be pulled out?

Answer: Because the total length of the sports field is 96 meters, we can know that there is 1 red flag every 4 meters* **There are 96 divided by 4 = 24 flags, and because it is changed to 3% 4 = 12 and 2% 6 = 12 every 6 meters, 2 red flags are pulled out for every four flags. 24 divided by 2 = 12 flags

23. There are 25 peaches and 75 oranges, and they are distributed to a number of children. It is required that each person gets an equal number of peaches and oranges. So how many children can be given at most? How many peaches does each child get? How many oranges are there?

Answer: (25,75)=25 (25 is the greatest common divisor of 25 and 75)

25/25=1

75/ 25=3 pieces

It can be divided among up to 25 children. Each child will get 1 peach and 3 oranges.

24. Lanlan’s parents work out of town, and she lives at her grandma’s house. Her mother visits her every 6 days, but her father lives far away and can only visit her once every 9 days.

Please think about it, for at least how many days can father and mother visit her at the same time? How many times can their family be reunited in two months?

Answer: (6,9)=18 days (18 is the least common multiple of 6 and 9)

60/18=3 times...6 days

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Dad and mother can visit her at the same time for at least 18 days, and the whole family can be reunited three times in two months

25. Bus 25 leaves every 6 minutes, 15 every 8 minutes Buses start once, and bus No. 9 leaves every 12 minutes. Now the buses and buses of the three routes leave from the starting point at the same time. At least how many minutes will it take for the buses of the three routes to leave at the same time.

Answer: 6=2*3

8=2*2*2

12=2*3*2

3 *2*2*2=24

26. The length is 72 decimeters and the width is 48 decimeters. The greatest common factor is 24 decimeters. The tablecloth cut into a square with the largest area has a side length of 2 meters and 4 decimeters< /p>

Answer: (72÷24)×(48÷24)=3×2=6

You can cut 6 pieces.

27. Auntie gave roses today Watering is done at the same time as the Clivia, the rose is watered every 4 days, and the Clivia is watered every 6 days, at least how many days later should the two flowers be watered at the same time?

Answer: Find the least common multiple of 4 and 6, which is equal to 24 days

28. There are 30 pieces of cake and 36 oranges. They are divided among several children. Each person gets the same amount. What is the maximum number of children that can be divided among them?

Answer: Find the greatest common divisor of 30 and 36, which is equal to 6

29. The upper meter is 50 kg, the middle meter is 60 kg, and the lower meter is 90 kg. They are packed into equal weights. There are several bags, and all kinds of rice are just filled. What is the maximum weight of each bag in kilograms?

Answer: Find the greatest common divisor of 50.60 and 90, which is equal to 10.

30. Use 24 red flowers, 36 yellow flowers and 48 purple flowers to make a bouquet, so that there are Just as many flowers. How many bouquets can these flowers make?

Answer: Find the greatest common divisor of 24.36 and 48, which is equal to 12.

31. There is a cuboid, the width is three times the height, and the sum of the width and height is equal to the length. Now cut it horizontally and then vertically to get 4 small cuboids, and the surface area has increased by 200 square centimeters. What is the original volume of the cuboid?

Answer: Let the height be a, the width be 3a, and the length be 4a

Then after cross cutting, the surface area increases by 2*3a*4a

After vertical cutting , the surface area increases by 2*a*3a

24a^2+6a^2=200

a=(20/3)^0.5

Volume v= 12a^3=160/3*(15)^0.5

32. A rectangular fish tank without a cover, 0.4 meters long, 0.25 meters wide and 0.3 meters deep. This fish tank must be made of at least glass How many square meters?

Answer: 0.4×0.25+2×0.25×0.3+0.4×0.3

=0.1+0.15+0.24

=0.49㎡

< p>33. Use 36 cm wire to fold a cube frame. What is the edge length of this cube? If the surface of the frame is covered with paper, how many square centimeters of paper will be needed?

Answer: 36÷12=3cm

6×3×3

=54 square centimeters

34. A base is A square rectangle is exactly a square when its sides are unfolded. The height of the cuboid is 8 decimeters, and its volume is 8 decimeters.

Answer:

The height of the cuboid = the circumference of the base = 8 decimeters

The length of the side of the base of the cuboid = 8÷4=2 (decimeters)

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Volume = base area How many?

12/3=12/3

36. If three identical cube wooden blocks are assembled into a rectangular parallelepiped, the surface area will be reduced by 120 square centimeters. What is the surface area of ??the cube in square centimeters?

Answer: 120÷4=30 (square centimeters)

3×4×+1×2=14 (area of ??small cubes)

14 ×30=420 (square centimeters)

30×6×3=540 (square centimeters)

37. Pour into a rectangular water tank with a length of 24, a width of 9, and a height of 8 6 deep water, and then put a cube iron block with an edge length of 5, how much does the water level rise?

Answer: 5×5×5÷(24×9) ??

= 125÷216

≈0.5787

38. The sum of the lengths of all edges of a cube is 84cm. What is its volume in cubic centimeters? What is the base area in square centimeters?

Answer: 84/12=7 (cm)

Volume: 7*7*7= 343 (cubic centimeters)

Base area: 7*7 =49 (square centimeters)

39 To build a section of road, 1/4 of the total length was built on the first day, and 90 meters were built on the second day. At this time, 150 meters were left unbuilt. How many meters long is this road?

The answer is: the total length of this road is X meters,

1/4X+9150=X

X-1/4X=9150

3/4X=240

X=320

40 There is a pile of yellow sand at the construction site. 2/3 has been used, which is exactly 60 tons. . How many tons did this pile of yellow sand originally weigh?

The answer is 60/2/3=90 (tons)

41 Using 5000 kilograms of wheat, 4250 kilograms of flour can be ground. Find the flour extraction rate of wheat.

Answer 4250/5000*100%=85%

42 The flour extraction rate of wheat is 80%. How many kilograms of wheat are needed to grind 640 kilograms of flour?

The answer is 640/80% = 800 (kilograms)

43 Teacher Wang went to the sporting goods store and bought 5 small footballs. He paid 100 yuan and got back 32.5 yuan, each small football. How much does football cost?

Answer (100-32.5)/5=13.5 (yuan)

44 In the canteen, 25 kilograms of cabbage was bought for the first time, and 175 kilograms of cabbage was bought for the second time. Calculated at 6 cents per kilogram of cabbage, how much does it cost to buy cabbage per kilogram in the canteen?

Answer (25+175)*6=1200 (corner) = 120 (yuan)

45 Xiaohua read a book to Xiaogang, Xiaohua read 132 in 4 days Xiaogang read 96 pages in 3 days. Who can read faster? Why?

Xiaohua can read the answer quickly!

Because Xiaohua: 132/4=33 (pages)

Xiaogang: 96/3=32 (pages)

46 Sports Goods Store originally had 72 basketballs, 2/3 were sold, and 45 more basketballs were purchased. How many basketballs are there now?

The answer is 72*2/3=48 (only)

72-48=24 (only)

24+45=70 (only)

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47 The length of a cuboid is 0.54 meters, 8 centimeters longer than the width, and the height is 5 centimeters. What is the area of ??this cuboid in square meters?

The answer is 0.54 meters = 54 centimeters

54-8=46 centimeters

54*46*5=12420 square centimeters=1.242 square meters

48 A steel bar is 1 meter long and 2/5 of the meter is cut off. How many meters are left?

Answer 1-2/5=3/5 meters

49 In the orchard, it is planned to use 2/5 of the land for peach trees, 1/3 for pear trees, and the remaining Plant apple trees.

What percentage are apple trees?

Answer 1-(2/5+1/3)=4/15

50 A rectangular pool is 5 meters long and 3 times as wide as the length. How many meters is it wide? ?

That’s the answer: 5*3=15 meters! Hope to adopt!