grade
int64 1
6
| question
stringlengths 10
511
| golden
stringclasses 261
values | reasoning_step
int64 1
5
| num_digits
int64 1
7
|
|---|---|---|---|---|
5
|
A group of students planted trees, each of them planted 6 trees and there were 4 left; if 3 of them planted 5 trees each, each of the others planted 7 trees, it would be just finished.How many students are there in this group?
|
10
| 4
| 2
|
5
|
A rectangular carton with a square bottom surface, and its side expansion diagram is a square with a side length of 21 cm.What is the surface area of this carton in square centimeters?
|
2646
| 5
| 4
|
5
|
The area of the Forbidden City is 720,000 square meters, which is 160,000 square meters less than twice the area of Tiananmen Square.How many tens of thousands of square meters is the area of Tiananmen Square?
|
44
| 5
| 2
|
5
|
A bamboo pole is inserted into the water, the water inlet part is 5/14 meters long, the mud inlet part is 1/14 meters, and the water surface is 3/14 meters.How many meters is this bamboo pole long?
|
9/14
| 2
| 3
|
5
|
Recycling one textbook can save 2/5 kg of paper in a year. If you recycle 3 textbooks in a year, how many kilograms of paper can be saved?
|
6/5
| 2
| 2
|
5
|
On one side of the 20-meter flower bed, plant a sapling every 4 meters (only one end is planted).How many saplings are needed in total?
|
5
| 1
| 2
|
5
|
A principal's square playground covers an area of 2,800 square meters. Due to the expansion, the width has to be increased from 40 meters to 50 meters, and the length remains the same.How many square meters will the area of the expanded playground increase from the original?
|
700
| 3
| 4
|
5
|
The bottom surface of a cuboid is a square with a circumference of 16 cm and a height of 3 cm. How many cubic centimeters is the volume of this cuboid?
|
48
| 3
| 2
|
5
|
A boulevard in the Red Scarf Park has a total length of 800 meters. On one side of it, 41 trash cans are placed at equal distances from beginning to end. How many meters are there between each two trash cans?
|
20
| 2
| 3
|
5
|
The fifth-grade students went to the forest Park for a spring outing. They were going to take a 16-person van or a 24-person minibus. Whether it was a 16-person van or a 24-person minibus, they were just full.How many students in the fifth grade go to the spring outing at least?
|
48
| 2
| 2
|
5
|
Put 5 grams of salt into 355 grams of water. What is the mass of salt that accounts for the brine?
|
1/72
| 1
| 3
|
5
|
A cuboid wood has a volume of 0.078 cubic decimeters. It is known that the length of the wood is 2 cm and the width is 3 cm. How many centimeters is the height of this wood?
|
13
| 2
| 4
|
5
|
There are 11 badminton balls with exactly the same shape, of which 10 are genuine, one is defective, and the defective product is slightly lighter.If you weigh it with a balance, at least a few times will you be able to find out the defective product?
|
3
| 3
| 2
|
5
|
Fold a rope in half, fold it in half, and then fold it in half. The 3 short sections account for a fraction of the total length of the rope?
|
3/8
| 1
| 2
|
5
|
A rectangular carton with a square bottom surface, and unfolding its side is exactly a square with a side length of 6 cm. How many square meters of cardboard is needed to make this carton?
|
216
| 2
| 3
|
5
|
In the “Prize-winning reading activity” organized by the school, Xiaoxiao won the first prize. The prize was a general book with a total of 80 pages. She read 10 pages a day. What percentage of this book does she read every day?
|
1/8
| 1
| 2
|
5
|
There are 4 girls and 5 boys in the model airplane group. What percentage of the group do boys account for?
|
5/9
| 2
| 2
|
5
|
A poplar tree is planted every 2 meters around a circular pool, and a total of 40 trees are planted. What is the circumference of the pool?
|
80
| 1
| 2
|
5
|
Every time a building goes up to the first floor, it takes 16 steps to get to Xiaoying's house, and 64 steps to Xiaoying's house. Which floor does Xiaoying's house live on?
|
5
| 2
| 2
|
5
|
There are 20 books in a box, 19 of which are of the same quality, and the other 1 is of insufficient quality and lighter.Weighing it with a balance at least a few times can guarantee that this book will be found?
|
3
| 3
| 2
|
5
|
Chickens and rabbits are in the same cage, and the number of chickens and rabbits is the same. The legs of the two animals add up to 42. What is the number of chickens and rabbits?
|
7
| 5
| 2
|
5
|
Grandpa's orchard was planted with peach and pear trees. After counting them, he found that there were 36 in total. He also found that the number of peach trees was twice that of pear trees.How many pear trees are planted in Grandpa's orchard?
|
12
| 5
| 2
|
5
|
The bear, lamb and fawn jointly built a small pool.The lamb goes to the pool to drink water every 2 days, the fawn goes to the pool to drink water every 3 days, and the bear goes to the pool to drink water every 4 days.On July 1st, the three of them came to the pool to drink water at the same time, and agreed to come to the pool to drink water on time at 8:00 in the morning at the end of the month.Do you know what day this is in July?
|
24
| 3
| 2
|
5
|
A telephone pole is erected every 16 meters on both sides of a highway, and 52 telephone poles are shared. How many meters is the total length of this highway?
|
400
| 2
| 3
|
5
|
The engineering team repaired a highway. It was originally planned to repair 1.65 kilometers of road every day, which could be completed in 20 days.In fact, it only took 15 days. How many kilometers of road are actually built every day on average?
|
2.2
| 2
| 3
|
5
|
The students of Chengdong Elementary School did morning exercises. 21 students lined up in a row. The distance between the two adjacent students was equal. The distance from the first person to the last person was 40 meters. How many meters is the distance between the two adjacent people?
|
2
| 2
| 2
|
5
|
The two buildings are 56 meters apart, and one cedar tree is planted every 4 meters. How many trees can be planted in a row?
|
13
| 2
| 2
|
5
|
Students in a certain grade rent a boat to swim the lake during the spring outing. If each boat takes 10 people, there will be 2 more seats; if each boat takes 2 more people, you can rent one less boat. At this time, each person can save 5 cents.How much does it cost to rent a boat?
|
24
| 5
| 2
|
5
|
There is a piece of wood. I plan to saw each piece into 3 sections. It takes 5 minutes for each piece to be sawed. How many minutes does it take to finish all sawing?
|
10
| 2
| 2
|
5
|
Three years ago, Jingjing and her father were 45 years old. Her father was 35 years older than Jingjing. How old is her father this year?
|
43
| 5
| 2
|
5
|
What is the sum of 2 times the largest prime number and the smallest prime number within 20?
|
23
| 4
| 2
|
5
|
A cube with a surface area of 36 square decimeters. After cutting into 4 cuboids along one surface, how many square decimeters has the surface area increased?
|
36
| 4
| 2
|
5
|
The school held a painting and calligraphy competition. A total of 75 people in the fourth and fifth grades won awards. Among them, the number of winners in the fifth grade was 1.5 times that of the fourth grade. How many students in the fifth grade won awards?
|
45
| 5
| 2
|
5
|
There are 25 boys and 20 girls in Class 5 (3). What is the number of girls and what is the number of boys?(Expressed in the simplest fraction)
|
4/5
| 1
| 2
|
5
|
A cuboid with a square bottom surface, its height is 7 cm, and the sum of the length of all the edges is 100 cm. What is the volume of this cuboid in cubic decimeters?
|
0.567
| 2
| 4
|
5
|
The rectangular brick is 48 cm long and 32 cm wide. How many bricks are needed to make a square ground with such bricks?
|
6
| 3
| 2
|
5
|
The flight speed of a fighter jet is 4,000 kilometers per hour, which is 700 kilometers more than 3 times the speed of a supersonic aircraft. How many kilometers per hour does a supersonic aircraft fly?
|
1100
| 5
| 4
|
5
|
The bunker used in the long jump competition is 7 meters long and 3 meters wide. The thickness of the sand in the pit is 0.8 meters. How many cubic meters of sand is there in the bunker?
|
16.8
| 2
| 3
|
5
|
A highway is repaired in 21 days. On average, what percentage of this highway is completed every day?
|
1/21
| 1
| 3
|
5
|
Some coal was shipped from the canteen. 5/8 tons were burned on the first day and 1/4 tons were burned on the second day. How many tons were burned in two days?
|
7/8
| 1
| 2
|
5
|
Light can travel 300,000 kilometers per second, a distance of about 20,000 kilometers more than 7 times the length of the earth's equator.How many tens of thousands of kilometers is the earth's equator about long?
|
4
| 5
| 2
|
5
|
A rectangular glass container holds 5.5 liters of water. After putting an apple, the water level rises to 6 liters. What is the volume of this apple in cubic decimeters?
|
0.5
| 1
| 2
|
5
|
Students go to buy composition books. If each person pays 8 yuan, they will pay 8 yuan more; if each person pays 7 yuan, they will pay 4 yuan more.So how many classmates went to buy books?
|
4
| 5
| 1
|
5
|
Master Wang processes a batch of parts, 20 per day, which can be completed 1 day in advance.After 4 days of work, due to the improved technology, 5 more can be processed every day, and the result is completed 3 days in advance.Q: How many parts are there in this batch?
|
280
| 5
| 3
|
5
|
Teacher Zhang downloaded some pictures from the Internet, which took up a total of 12MB of hard disk space. Now he is going to use floppy disks to copy these pictures to the school computer. The space of each floppy disk is 1.44MB, so how many such floppy disks do these pictures need at least?
|
9
| 2
| 1
|
5
|
The circumference of a rectangle is 4.8 meters, and the length is 3 times the width.How many meters is the width of this rectangle?
|
0.6
| 3
| 2
|
5
|
41 kilograms of rapeseed oil can be fried with 100 kilograms of rapeseed.How many kilograms of rapeseed oil can be fried from 1 kilogram of rapeseed oil?
|
41/100
| 1
| 5
|
5
|
The three engineering teams worked together to repair a highway. Team A repaired 2/9 of the total length, Team B repaired 4/27 of the total length, and Team C repaired the rest.What percentage of the total length has Team C repaired?
|
17/27
| 2
| 4
|
5
|
A 3-meter-long square wood, after being cut into 3 pieces, the surface area has increased by 3.6 square meters. How many cubic meters is the volume of this square wood?
|
0.027
| 3
| 4
|
5
|
On both sides of a 50-meter-long runway, one bunting is inserted every 5 meters from start to finish. How many bunting are inserted in total?
|
22
| 3
| 2
|
5
|
A rectangular water tank, the length, width and height are 50 cm, 24 cm, and 40 cm, respectively. If 38.4 liters of water are placed in it, how many centimeters is the water surface from the upper mouth?
|
8
| 3
| 3
|
5
|
Maxim's Cake Room specially made a kind of birthday cake, each of which requires 0.32 kg of flour. Master Li received 4 kg of flour to make the cake.How many birthday cakes can he make at most?
|
12
| 2
| 3
|
5
|
A factory plans to produce 6,000 smart phones in September. In fact, 3,600 will be completed in the first half of the month. What percentage of the full-month plan will be completed in the first half of the month?
|
3/5
| 1
| 4
|
5
|
There is a rectangular vegetable plot with a length of 10.5 meters and a width of 8.2 meters. How many meters is its circumference?
|
37.4
| 2
| 3
|
5
|
Zhang Hua left home to go to school in the county seat. After walking for 2 minutes at a speed of 50 meters per minute, he found that he would be 8 minutes late if he walked at this speed.So he accelerated his speed and walked 10 more meters per minute. As a result, when he arrived at school, he was still 5 minutes away from class.What is the distance from Zhang Hua's house to school?
|
4000
| 5
| 4
|
5
|
During the holiday, the teacher asked each student to write 25 pages of brush characters. Now Lili has finished 7 pages. What percentage of the total number is not finished?
|
18/25
| 2
| 4
|
5
|
The wholesale price of peanut kernels per kilogram is 7.62 yuan, and the retail price is 8.9 yuan. Uncle Liu buys 240 kilograms of peanut kernels at the wholesale price. After the retail price is sold, how much gross profit can he get?
|
307.2
| 2
| 4
|
5
|
The length of a rectangle is 9 cm, which is equal to 1.5 times the width. How many square centimeters is the area of this rectangle?
|
54
| 5
| 2
|
5
|
There are 18.6 tons of cement in the warehouse. Now it is transported to the construction site by truck. Each truck carries 2.5 tons. How many trucks are needed?
|
8
| 2
| 3
|
5
|
Xiaoming's weight is 35 kilograms, and his weight is 8/15 lighter than his father. How many kilograms does Xiaoming's father weigh?
|
75
| 2
| 3
|
5
|
The bottom surface of a cuboid is square. If the height is increased by 3 cm, it will become a cube. At this time, the surface area is increased by 48 square centimeters compared to the original. How many cubic centimeters is the volume of the cuboid?
|
16
| 5
| 2
|
5
|
The volume of a cuboid is 56 cubic centimeters and its height is 4 centimeters. How many square centimeters is its bottom area?
|
14
| 1
| 2
|
5
|
There are 64 people in the school music group. Now they need to be notified to go out to perform. If you use the phone method, each person will talk for 1 minute. How many minutes will it take to notify each person?
|
7
| 5
| 2
|
5
|
After cutting a small cuboid with a volume of 72 cubic centimeters on a cuboid, the remaining part is a cube with an edge length of 6 centimeters. What is the surface area of this cuboid? Square centimeters?
|
264
| 5
| 3
|
5
|
Uncle Li walked at the same speed on the path full of telephone poles in the countryside.It took him 22 minutes to walk from the first telephone pole to the 12th telephone pole.If he walks for 36 minutes, which telephone pole should he walk to?
|
19
| 4
| 2
|
5
|
The simplest fraction obtained after a fraction is approximately divided is 5/7. It is known that the sum of the original fraction numerator and denominator is 72. What is the original fraction?
|
30/42
| 2
| 4
|
5
|
The exhibition hall of Hongxing Primary School is undergoing the second phase of the renovation project. The current construction site requires 52 tons of sand, which is transported 8 times by a car with a load of 4.5 tons. For the rest, it will be transported by a car with a load of 3.5 tons. How many more times will it be transported?
|
5
| 3
| 2
|
5
|
.The Li Ming family is decorating a new house. It is known that the area of the bathroom is 6m2. If you use square tiles with a side length of 0.3m to pave the floor, the price of each tile is 9.83 yuan, so how much does it cost?(The number is reserved as an integer)
|
659
| 3
| 3
|
5
|
There is a warehouse, from which the length is 25 meters, the width is 10 meters, and the height of the inventory is 3 meters.How many cubic meters of goods can be stored in this warehouse at most?
|
750
| 2
| 3
|
5
|
An isosceles triangle has a length of 4 on one side and 2 on the other. What is its circumference?
|
10
| 2
| 2
|
5
|
A 10-meter-long ribbon can be bandaged with a gift box every 1.5 meters. How many gift boxes can this ribbon be bandaged?
|
6
| 2
| 2
|
5
|
There are 9 camels and 6 tigers in the zoo. How many tigers are there than camels?
|
6/9
| 1
| 2
|
5
|
The wall clock knocks 6 times at 6 o'clock and finishes in 10 seconds. Then it knocks 9 times at 9 o'clock and finishes in how many seconds?
|
16
| 2
| 2
|
5
|
A rectangular iron block with a length of 48 cm and a width and height of 6 cm is cast into a cube iron block with a length of 3 cm. How many pieces can be cast?(Loss does not count)
|
64
| 5
| 2
|
5
|
Xiao Ming practiced running at a speed of 0.15 kilometers per minute every morning, and practiced for 12 minutes a day.According to this calculation, how many kilometers were run in 2009?(365 days in 2009)
|
657
| 2
| 4
|
5
|
Grandpa is 75 years old this year, 5 years older than Xiao Ming's age.How old is Xiaoming this year?
|
14
| 5
| 2
|
5
|
A tour group has 10 people traveling. Due to temporary changes in plans, it is necessary to notify urgently. If you use the phone method, notify 1 person every 1 minute, at least notify everyone within a few minutes?
|
4
| 4
| 2
|
5
|
There are 31 bags of fruit candy in a box, of which 30 bags are of the same quality, and the other bag is lighter. How many times can you weigh it with a balance to ensure that you find a lighter bag?
|
4
| 4
| 2
|
5
|
The rent for each boat is 30 yuan, and how many hours can 100 yuan be rented at most?
|
3
| 2
| 3
|
5
|
The number of A is 3/20, and the number of B is 3/10. What is the sum of the number of A and the number of B?
|
9/20
| 1
| 3
|
5
|
There are several people in the chorus. If 12 people stand in a row, there are 5 people left; if 15 people stand in a row or there are 5 people left, how many people are there in this chorus?
|
65
| 5
| 2
|
5
|
There is a parallelogram steel plate with a bottom of 8.4 decimeters and a height of 3.5 decimeters.If the steel plate weighs 0.75 kilograms per square decimeter, how many kilograms does this steel plate weigh?
|
22.05
| 2
| 4
|
5
|
A fraction is 18/30, and its numerator is doubled. To keep the size of the fraction unchanged, how much should the denominator be added?
|
30
| 2
| 4
|
5
|
Fanfan and the 3 children ate a total of 1 kg of bananas. How many kilograms did each child eat on average?
|
250
| 1
| 3
|
5
|
The garden workers planted a tree every 4 meters on the side of a section of road, and a total of 17 trees were planted.Now we have to change to planting a tree every 6 meters.So, how many trees are there that don't need to be transplanted?
|
6
| 3
| 2
|
5
|
There is an 800-meter-long highway. On one side of the highway, a poplar tree is planted every 20 meters from start to finish. How many poplar seedlings do you need?
|
41
| 2
| 3
|
5
|
There are 96 steps from the first floor to the fifth floor. How many steps does Xiaofang take from the first floor to the 20th floor?
|
456
| 4
| 3
|
5
|
There is a trapezoidal billboard with an upper bottom length of 4 meters, a lower bottom length of 6.5 meters, and a height of 2 meters. It costs 10 yuan per square meter to apply advertising paint on its front. How much does it cost to paint the entire billboard?
|
105
| 4
| 3
|
5
|
A book has 83,000 words. If you arrange 25 lines per page and 24 words per line, from page 1, how many sheets of paper do you need to complete these words at least?
|
70
| 3
| 5
|
5
|
Uncle Zhao has to complete the processing task of 100 parts, and 74 have been completed. The remaining parts account for a fraction of this batch of parts?
|
13/50
| 2
| 4
|
5
|
A two-digit number, it has both a factor of 2, a factor of 3, and a factor of 5. What is the minimum two-digit number?
|
30
| 3
| 2
|
5
|
The road in front of the park gate is 80 meters long. Poplar trees should be planted on both sides of the road, and each two trees should be 8 meters apart (both ends should also be planted).How many trees do garden workers need to prepare in total?
|
22
| 2
| 2
|
5
|
There are two piles of cargo on the dock. The first pile has 29 tons and the second pile has 32 tons. What is the weight of the first pile of cargo? What is the weight of the second pile?
|
29/32
| 1
| 4
|
5
|
There are a bunch of small screws of the same specifications. It is not easy to count them. Their mass is 1.53 kg. Count 100. The mass of these 100 small screws is 0.03kg.How many small screws are there in this pile?
|
5100
| 2
| 4
|
5
|
There is a batch of square bricks, arranged in a large square, with 32 pieces remaining; if they are arranged in a square with one more brick on each side than the original, it will be 49 pieces short.How many bricks are there in this batch?
|
1632
| 5
| 4
|
5
|
Buy a piece of parallelogram glass with a bottom of 80 cm and a height of 50 cm. The price per square meter of glass is 23 yuan. How much does it cost to buy this piece of glass?
|
9.2
| 2
| 2
|
5
|
The edge length of a square wooden box is 1.5 meters. How many square meters of wood are needed to make this wooden box?
|
13.5
| 2
| 3
|
5
|
The students went to plant trees, and the groups of 3 or 5 people were just finished.It is known that there are between 40 and 50 students participating in tree planting, so how many of these students are there at most?
|
45
| 2
| 2
|
5
|
There are 7 people in the chorus. During the summer vacation, the teacher has to notify the members of the chorus to perform. If one person is notified every minute, how many minutes does it take to notify each member?
|
3
| 3
| 1
|
5
|
There are 7 steel balls, of which 1 is lighter. It is a defective product. Only by weighing it with a balance at least a few times can it be guaranteed that it can be found out?
|
2
| 3
| 1
|
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