1: There are 90 ping-pong balls in the sporting goods. If every two are packed in a box, can they be packed properly? If you pack a box every five, can you finish it? Why? 90#2=45 cases 90#5= 18 cases A: If two cases are packed, it can be packed. If it's packed in five cases, it's just right. Because 90 is divisible by 5. There are 57 balls in the sporting goods store, and every three balls are packed in a box. Can they be properly packed? 57#3+ 19 A: It can be just finished. 3: A and B type a document of 10000 words, A type 1 15 words per minute, and B type 135 words per minute. How many minutes will it take? 10000 # (115+135) = 40 minutes A: It can be finished in 40 minutes. 4. Grade five students plant trees, 13 or 14. Each group has just finished. How many students took part in planting trees in grade five? 13X 14= 192 people A: At least 192 people participated in tree planting in the fifth grade. Although the following questions belong to practical problems, they are related to equations. I solved it with equations. 5: Two cars came running from one place. One car runs at a speed of 3 1 km, one at a time. Equation: Solution: Two cars meet in X hours. 3 1X+44X=300 75X=300 X=4 4 hours =240 minutes A: After 240 minutes, the two cars are 300 kilometers apart. 6: Two engineering teams have to dig a tunnel with a length of 1 19 meters. Solution: Let the tunnel dig 3x+4x =1197x =19x = 17 A: The tunnel will be dug after17 days. 7: There is 140 school chorus and dance team. Solution: Suppose the dance team has X people 6x+x =1407x =140x = 20 people. Answer: There are 20 people in the dance team. From now on, this is not an equation. 8. Two brothers walk from home to the gym at the same time, and the road is 1300m. My brother walks 80m per minute, and my brother rides a bike at 65438 per minute. 1300X2=2600 meters, 2600 # (180+80) = 2600 # 260 = 10 minutes A: At this time, my brother left10 minutes. 9: On Children's Day, Mr. Wang bought 360 biscuits and 480 sweets. 360+480+400= 1240 A: You can make 1240 at most. 10: Naughty bought 40 balloons and invited students to blow them at home. In order to share the balloons equally, how many students should be invited to blow them? Naughty does 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 A: There are six ways to invite students, namely, 20 people, 10 people and 5 people. (15+24) x18 # 2 = 351m2351x 9 = 3195 plants A: This land can grow 3 159 plants of corn. 12: The number of students in a class is 65438. 5X4X3=60 students, 60+ 1=6 1 person A: There are 6/kloc-0 students in this class. 13: Wang Yue has a box of chocolate candy, and there is 1 tablet left each time. How many chocolates are there in this box? 7X5X3= 105 capsules 105+ 1= 106 capsules A: There are at least 106 capsules in this box of chocolate candy. 14: length15m and width1.2m of Chenguang Community. If each square brick is 3 yuan, how much will it cost to build this tunnel? 15m = 150 decimeter 1.2m = 12 decimeter 30cm =3 decimeter150x12 =1800 square decimeter 3X3=9 square decimeter Need 600 yuan. 15: There are two parallelogram experimental fields with the same area, one with a bottom of 70 meters, a height of 45 meters and a bottom of 90 meters. What's the height? 70x45 = 3150m2 3150 # 90 = 35m A: height 35m. 16: a batch of steel pipes are piled into a pile, with the bottom layer 10, the top layer 1 less 1 and the top layer 1. 10-5+ 1=6 floors (10+5) X6 # 2 =15x6 # 2 = 90 # 2 = 45a: There are 45 steel pipes in this batch, and so on. It is known that the pool is 18 meters long, 8 meters wide and at least how many meters deep? (1 m3 water weight 1 ton. 2. Rectangular swimming pool, 50 meters long and 25 meters wide, with original water depth of 1.2 meters. If water is pumped, it will drain 2.5 cubic meters per minute. How many hours will it take to complete the drainage? 3. The bottom area of a cuboid fuel tank is 16 square decimeter and the height is 6 decimeter. If 1 liter contains 0.74 kg of gasoline, how many kg of gasoline can this tank hold? 4. Stack 2 100 cubes with side length of 1 cm into a cuboid. Its height is 1 decimeter, and its length and width are greater than its height. How long and wide is it? Problem 1: solution: the depth is at least x meters,18 * 8x = 720144x = 720x = 5a: the depth is at least 5m. Question 2: 50*25* 1.2= 1500 (cubic meters) 1500/25=600 (minutes) 600 minutes = 10 hour A: It needs 10 hour. Question 3: 16*6=96 cubic meters =96 liters 96 * 0.74 = 71.04kg A: This oil drum can hold 71.04kg.. Question 4: 1 decimeter =10cm2100/10 = 210 (cm) 210/70 = 3 (cm) or 2/kloc. The width is 3 cm; Or a length of 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 this cube? Answer: 2*2*6=24 (square centimeter) Question 6: There is a cuboid with a length of 2 cm, a height of 2 cm and a width of 1 cm. What is the surface area? Answer: (2 * 2+2 *1+2 *1) * 2 =16 (square centimeter) Question 7: A rectangular wooden board is 2m long, 5m wide and 8m thick. What is its surface area? How many cubic meters is the volume? Answer: Surface area: (2*5+2*8+5*8)*2= 132 (square meter) Volume: 2*5*8=80 (cubic meter) Track 8: The side length of a cubic oil drum is 0.8m What is its volume? How many square decimeters does it take to make this oil drum and collect iron pieces? 0.8*0.8*0.8=0.5 12 (square meter) =5 12 (liter) 0.8*0.8*6=3.084 (square meter) =348 (square decimeter) Lane 9: There are three sticks, each with a length of/klm. All should be cut into small sticks of the same length, and no extra ones are allowed. How long can each stick be? Answer: What we are seeking here is the greatest common divisor of12,44,56! Do the math yourself! Question 10: How much glass does a cubic fish tank without a cover need, which is 50 cm long? Answer: 50*50*5= 12500 (square centimeter) Question 1 1: A bag of candy can be divided into 8 people or 10 people, which is exactly right. How many pieces are there in this bag of sweets? Answer: Here is the least common multiple of 8 and 10. Question 12: There is a box of milk. Is it divided among five people or seven people? There is only one bottle left. How many bottles are there in this box? Answer: The least common multiple of 5 and 7 is above+1. Question 13: The rectangular land is 40 meters long and 45 meters wide, which is equal to the area of another parallelogram with a base length of 75 meters. What is the height of this parallelogram land? Answer: 40*45= 1800 (square meters) 1800/75=24 (meters) Question 14: The area of a triangle is 3.4 square meters. What is the area of a parallelogram with the same height? Answer: 3.4*2=6.8 (square meters) Question 15: A rectangular pool is 8.5m long, 4m wide and1.5m deep. What is the area of this swimming pool? Answer: 8.5*4=34 (square meters) Question 16: A rectangular wooden box is 12 decimeter long, 8 decimeters wide and 6.5 decimeters high. If its shell is painted, how many square decimeters is the painted area? Answer: 12 * 8+(12 * 6.5+8 * 6.5) * 2 = 356 (square decimeter) Question 17: The trapezoidal top and bottom are 5m, and the bottom12m is 8m high. What is its area? Answer: (5+ 12)*8=68 (square meters) Question 18: The box made of cuboids is 0.8m long, 0.6m wide and 0.4m high. How much material does it take to make this box? Answer: (0.9*0.6+0.6*0.4+0.9*0.4)*2=228 (square meters) Question 19: The side length of a cubic carton is 0.6 meters. How much material does it take to make a carton? Answer: 0.6*0.6*6=2. 16 (square meters) Question 20: Li Xiaoming schools have 1000 meters. He walks 100 meters per minute. How many hours does it take to get back to school? Answer:1000/100 =10 (minutes) = 1/6 hours 2 1. The greatest common factor of two numbers is 30, and their least common multiple is 180. One of them is known as 65438+. Answer: 30 22. The total length from one end of the playground to the other is 96 meters. Originally, a small red flag was inserted every 4 meters from one end to the other. Now a small red flag is planted every 6 meters. How many little red flags are there? Answer: Because the total length of the sports ground is 96, there are 1 red flags every 4 meters, so we can know that 4 is divided by 96 = 24, and every 6 meters is changed to 34 = 1226 = 12, so two red flags are drawn every 4 sides, and 24 divided by 2= 12 is 24. There are 25 peaches and 75 peaches. How many peaches does each child get? How many oranges? Answer: (25,75) = 25 (25 is the greatest common denominator of 25 and 75) 25/25= 1 75/25=3 can be distributed to 25 children at most, and each child can get 1 peach and 3 oranges. 24. Lan Lan's parents work in other places, and she lives in her grandmother's house. My mother visits her once every six days, and my father travels a long way, only once every nine days. Please think about it, at least a few days, mom and dad can come to see her at the same time. How many times can their family get together every two months? Answer: (6,9) = 65,438+08 days (65,438+08 is the least common multiple of 6 and 9) 60/65,438+08 = 3 times ... 6 days at least 18 days, parents can visit her at the same time, and their whole family can get together three times in two months. Answer: 6 = 2 * 38 = 2 * 2 * 212 = 2 * 3 * 23 * 2 * 2 = 24 26. The greatest common factor is 72 decimetres long and 48 decimetres wide. The largest square tablecloth was cut into 2 meters and 4 minutes long. Answer: (72. Answer; Find the least common multiple of 4 and 6, which is equal to 24 days. 28. There are 30 cakes and 36 oranges, which are distributed to several children. Everyone gets the same income. How many children can you allocate at most? Answer: Find the greatest common divisor of 30 and 36, which is equal to 6 29. 50 kilograms of rice, 60 kilograms of rice and 90 kilograms of rice are packed in several bags of equal weight, and all kinds of rice have just been eaten. What is the maximum weight of each bag? Answer: Find the greatest common divisor of 50.60 and 90, which is equal to 65,438+00 30. Make a bouquet with 24 red flowers, 36 yellow flowers and 48 purple flowers, so there are as many flowers in the bouquet. How many bunches can these flowers make at most? Answer: Find the greatest common divisor of 24.36 and 48, which is equal to 12 3 1. There is a cuboid whose width is three times the height, and the sum of width and height is equal to the length. Now cut horizontally and vertically to get four small cuboids, and the surface area has increased by 200 square centimeters. What is the volume of the original cuboid? Answer: If the height is a, the width is 3a and the length is 4a, the surface area will increase by 2*3a*4a after transverse cutting and 2 * a * 3a2A2+6a2 = 200a = (20/3) 0.5 volume v = 12a 3 = 160 after longitudinal cutting. Answer: 0.4× 0.25+2× 0.25× 0.3+0.4× 0.3 = 0.1+0.15+0.24 = 0.49 ㎡ 33. Fold a cubic frame with 36 cm wire. What is the side length of this cube? If the surface of the frame is covered with paper, how many square centimeters of paper is needed at least? Answer: 36÷ 12=3㎝ 6×3×3 =54 square centimeters 34. A rectangle with a square bottom and square sides. The height of a cuboid is 8 decimeters and the volume is. Answer: the height of the cuboid = the circumference of the bottom =8 decimeters; The side length of the bottom of the cuboid =8÷4=2 (decimeter); Volume = bottom area × height =2×2×8=32 (cubic decimeter); 35. 12 sugar, distributed to 3 people on average. How many points do these sugars give each? 12/3= 12/3 36. Three identical cubes are spliced into a cuboid, and the surface area is reduced by 120 cm2. What is the surface area of the mosaic cube? Answer: 120÷4=30 (square centimeter) 3×4×+ 1×2= 14 (pieces) The area of a small cube is 14×30=420 (square centimeter) 30. Answer: 5× 5× 5÷ (24× 9) =125÷ 216 ≈ 0.5787 38. The sum of all sides of the cube is 84 cm. How many cubic centimeters is its volume? How many square centimeters is the bottom area? Answer: 84/ 12=7 (cm) Volume: 7 * 7 = 343 (cm 3) Bottom area: 7*7=49 (cm 2) 39. On the first day, the full length 1/4 was repaired, and on the second day, there were 90 meters left. How long is this road? The answer is: this section of road is x meters long,1/4x+90+150 = xx-1/4x = 90+1503/4x = 240x = 32040. There is a pile of yellow sand on the construction site, and just 2/4 is used. How many tons is this pile of yellow sand? The answer is 60/2/3=90 (ton) 4 1 With 5000 kilograms of wheat, 4250 kilograms of flour can be ground, and the flour yield of wheat can be obtained. Answer 4250/5000 * 100% = 85% 42 The flour yield of wheat is 80%. How many kilograms of wheat does it take to grind 640 kilograms of flour? Answer 640/80% = 800 (Jin) 43 Teacher Wang went to the sporting goods store to buy five small soccer balls, paid 100 yuan and got back 32.5 yuan. How much is each small football? Answer (100-32.5)/5= 13.5 (yuan) 44 How much did you buy cabbage for the first time, and for the second time 175 kg, calculated at 6 cents per kg? Answer (25+ 175)*6= 1200 (angle) = 120 (yuan) 45 Xiaohua showed Xiaogang a book, and Xiaohua read 132 pages in four days, and Xiaogang read 96 pages in three days. Who reads fast? Why? The answer is Xiaohua, look fast! Because Xiaohua: 132/4=33 (page) Xiaogang: 96/3=32 (page) 46 Before, there were 72 basketballs in sporting goods stores, and two-thirds of them were sold and 45 were bought. How many basketballs are there now? Answer 72*2/3=48 (only) 72-48=24 (only) 24+45=70 (only) 47 The length of a cuboid is 0.54 m, 8 cm more than its width and 5 cm higher. What is the area of this cuboid? The answer is 0.54m = 54cm54-8 = 46cm54 * 46 * 5 =12420cm2 =1.242m2.48 The length of a steel bar 1m is cut off by 2/5m. How many meters are left? Answer 1-2/5=3/5 m 49 It is planned to adopt 2/5 kinds of peach trees, 1/3 kinds of pear trees and the rest of apple trees in the orchard. What percentage of apple trees are there? Answer1-(2/5+1/3) = 4/1550 A rectangular pool is 5 meters long and 3 times wide. How many meters wide? Answer 5 * 3 =15m. That's it! Hope to adopt!