1. A factory produced a batch of toys, and after three-fifths of the tasks were completed, 280 toys were added, so there were more toys to be made than before 10%. How many toys to make? (Please write down the calculation process)

Solution:

The increase is the original: 3/5+ 10%.

So it was supposed to be done: 280/(3/5+ 10%)=400 yuan.

The production account book of a school-run factory has increased by 30,000 yuan this month. If VAT is paid at 17% of the value-added amount, how much VAT should be paid this month? (Please write down the calculation process)

Solution: 30000* 17%=5 100 yuan should be paid.

Dad's salary this month is 2 100 yuan. According to the regulations, the income tax shall be paid on the salary1.above 600 yuan. If you pay the personal income adjustment tax at the rate of 5%, how much should Dad pay this month? How much does he actually earn? (Please write down the calculation process)

Solution: payable: (2 100- 1600)*5%=25 yuan.

Actual income: 2 100-25=2075 yuan.

PLA soldiers cultivated a parallelogram vegetable field. Its bottom is 24 meters and its height is 16 meters. What is the area of this land?

Solution: s=ah 24* 16=384

5. Trapezoidal wheat experimental field with an upper bottom of 86m, a lower bottom134m and a height of 60m. How many square meters is its area?

Solution: s = (a+b) * h/2 (86+134) * 60/2 = 6600.

6. Triangular land with a base height of 358m and a height of160m. What is the area of this land?

Solution: s=ah/2 358* 160/2=28640.

7. The People's Liberation Army Transportation Company transports a batch of coal. If each truck is loaded with 4.5 tons, it will take 16 cars to transport it at one time. If each truck is loaded with 6 tons, how many cars will it take to transport it all at once?

Solution: 4.5* 16/6= 12.

8. Students put flowers, 9 pots each, and 36 people are needed; If 18 people want to put it, how many pots should each person put?

Solution: 36*9/ 18= 18

9. Taiyanggou Primary School held a math knowledge contest. There are 60 participants in the third grade and 45 participants in the fourth grade. The number of participants in the fifth grade is twice that in the fourth grade. How many people took part in the competition in the third grade?

Solution: 45*2+45+60= 195.

10, Zhang Ming and Li Hong started from two places at the same time and came relatively. Zhang Ming walks 50 meters per minute and Li Hong walks 40 meters per minute. 12 minutes later, they met. How many meters are they apart?

Solution: (50+40)* 12= 1080.

1 1, the distance between Party A and Party B is 255 kilometers, and two cars are driving from both places at the same time. Car A travels 48 kilometers per hour and car B travels 37 kilometers per hour. Two cars meet in a few hours.

Solution: 255/(48+37)=3

Xiangqun Stationery Factory can produce 250 pencil boxes per hour. How many hours can you produce 10000?

Solution: Assume that X hours can produce 10000 pieces.

250x= 10000

x=40

Answer: 40 hours 10000.

13, a rectangular iron box, length 18cm, width 15cm and height 12cm. What is the volume of this iron box?

Solution:18 *15 *12 = 3240.

14. The side length of the cube is15cm. What is its volume?

Solution:15 *15 *15 = 3375.

15. to build a canal, it takes 30 days for team a to build it alone, and it takes 20 days for the team that has already built it alone. How many days can the two teams fix it together?

Solution:1/30+1/20 =112.

1÷ 12= 12 days

16. A train is 120 meters long, passing a bridge with a length of 880 meters at a speed of 50 kilometers per hour. How many seconds does it take for the train to get on the bridge and leave completely?

Solution:

50 kilometers = 50,000 meters

50000/(60*60)= 125/9 (m)

120+880= 1000 (m)

1000/( 125/9)=72 (seconds)

A: It takes 72 seconds for the train to get on the bridge and leave completely.

17, when a typist typed a manuscript, he typed 25% of the total on the first day, 40% of the total on the second day, and typed 6 pages more than the first day. How many pages are there in this manuscript?

Solution: If you set up a ***X page, then

40%X-25%X=6

X=40

A: One ***40 pages.

/kloc-class 0/8 and class 6 (1) 48 people arrived at school today, and two of them took time off to ask for the attendance rate of their class today.

Solution: 48/(48+2)=* 100%=96%

A: The attendance rate is 96%

19. My mother kept 5000 yuan in the bank for two years, with an annual interest rate of 2.25%. My mother has to pay 20% interest tax to withdraw money when it is due. How much should my mother pay? How much does mom get after paying taxes?

Solution: interest = principal * interest rate * time

Interest =5000*2.25%*2=225 (yuan)

Tax =225*20%=45 (Yuan)

After paying taxes, mom * * gets 5000+225-45=5 180 (RMB).

A: (1)45 yuan (2)5 180 yuan.

20. The sum of numbers A, B and C is 1 160. A is half that of B, and B is twice that of C. What are these three numbers?

Solution:1160 ÷ (1+2+1) = 290 (a, C) 290×2=580 (B).

2 1, a guest house has a meeting, and each room has 3 people, so 36 people have no beds; If there are 4 people in each room, there are 13 people who have no beds. What will happen if there are five people living in each room?

Scheme 1: (36-13)+(4-3) = 23 (a) 23-(4× 23+13) ÷ 5 = 2 (a) (two rooms are vacant).

Scheme 2: Scheme: There are X rooms, 3x+36 = 4x+13xx = 2323-(4x23+13) ÷ 5 = 2 (units).

22. Xiao Ming reads a book, with 83 pages on the first day, 74 pages on the second day, 7 1 page on the third day and 64 pages on the fourth day. The number of pages read on the fifth day is 3.2 pages more than the average number of pages read in these five days. How many pages did Xiao Ming read on the fifth day?

Solution1:(83+74+71+64) ÷ 4+3.2 ÷ 4+3.2 = 77 (page)

Scheme 2: Scheme: Let the fifth day read X page 83+74+7 1+64+X = 5 (X-3.2).

x=77

23. Measure the height of the bridge on the bridge. When the rope is folded in half and hung to the water surface, there are 8 meters left in the rope; After the rope was folded three times, it was still 2 meters above the water. Find the height of bridge and the length of rope.

Solution (8×2-2×3)÷(3-2)= 10 (m) (bridge height) (10+8) × 2 = 36 (m) (rope length)

24. Forty-four students went boating, and one of them took a boat of 10, including 6 people in the big boat and 4 people in the small boat. How many big boats and small boats are there?

Solution: (44-4× 10)÷(6-4)=2 (large ship) 10-2=8 (small boat)

25. The experimental primary school held a math contest in the fourth grade, and one * * * gave 10 questions. If you answered one question correctly, you will get 10 points, and if you answered one question incorrectly, you will be deducted 5 points. Zhang Hua finished all the 10 questions and got 70 points. He answered several questions correctly.

Solution:10-(10×10-70) ÷ (10+5) = 8 (Tao)

26. Buy 4 pencils and 5 erasers and * * * pay 6 yuan; Buy the same 6 pencils and 2 erasers, 4.60 yuan. How much is each pencil and eraser?

Solution: (6×3-4.60×2)÷(5×3-2×2)=0.80 yuan (rubber) (6-0.8× 5)+4 = 0.50 yuan (pencil).

27. build a road. Half of it was built on the first day, with a total length of more than 6 meters. The next day, the remaining half was built less than 20 meters. On the third day, 30 meters were built. Finally, 14 meter is left. How long is this road?

Solution: [(14+30-20) × 2+6 ]× 2 =108 (m)

28. Zhang Qiang bought a coat, a hat and a pair of shoes with 270 yuan. Coat is more expensive than shoes 140 yuan, coat and shoes are more expensive than hats 2 10 yuan. How much did Zhang Qiang spend on this pair of shoes?

Solution: [(270+210) ÷ 2-140] ÷ 2 = 50 (yuan)

29. The factory in Hong Guang plans to produce 40 refrigerators every day. After technological innovation, five more refrigerators will be produced every day than originally planned, thus completing this batch of production tasks two days ahead of schedule and producing 35 more refrigerators than originally planned. How many refrigerators have actually been produced?

Solution: [(40+5) × 2+35] ÷ 5 = 25 (day) (40+5)×(25-2)= 1035 (station).

30. Professors 16, some graduate students 1, some graduate students 2 and some graduate students 3. They * * * brought 27 graduate students, of whom 1 graduate students have as many professors as there are two and three graduate students. How many professors are there?

Solution: 16÷2=8 (person) 27-8= 19 (person) (3×8- 19)÷(3-2)=5 (person).

3 1. My brother and my brother each bought several exercise books. If the elder brother gives the younger brother three copies, the number of exercise books is the same. If the younger brother gives his brother 1 copy, the number of exercise books of his brother is three times that of his younger brother. How many exercise books did my brother and brother buy?

Solution: (3× 2+/kloc-0 /× 2) ÷ (3-1)+1= 5 (ben) (di) 5+3× 2 =11(ben).

32. Malaysia is four times as old as a pony. In 20 years, Malaysia will be twice as old as pony, 14 years old. How old are Malaysia and Pony?

Solution: Suppose the pony is X years old, then Malaysia is 4x years old, 4x+20=2(x+20)- 14 x=3 (pony).

4x= 12 (Malaysia)

33. 1000 people signed up for the entrance exam, and finally 150 people were admitted. The average score of applicants is 38 points lower than that of non-applicants, and the average score of all candidates is 55 points, and the admission score is 6.3 points lower than that of applicants. What is the admission score?

Solution: 1000- 150=850 (person) (55×1000+38× 850) ÷1000-6.3 = 81(.

The average weight of Party A, Party B and Party C is 63kg. The average weight of Party A and Party B is 3kg more than that of Party C, and Party A is 2kg more than that of Party C. Find the weight of Party B. ..

Solution: A+B is 3×2=6 (kg) more than 2 C, and B is 6-2=4 (kg) more than C.

(63×3-4-2)÷3+4=65 kg

35. A class goes boating. They calculated that if one more boat was added, each boat could only accommodate six people; If one ship is reduced, each ship must take 9 people. How many students go boating in this class?

Solution: (6+9) ÷ 4 (9-6) = 5 (strips) 6× (5+ 1) = 36 (person)

36. Carton 14, of which 1 ball, 2 balls and 3 balls. There are 25 balls. The number of boxes containing 1 ball is equal to the sum of the number of boxes containing 2 balls and 3 balls. 1, 2, 3 How many boxes of balls are there?

Solution: Pack 1 ball 14÷2=7 (box) with 2 balls in X box and 3 balls in 7-x box.

1×7+2x+3(7-x)= 25 x = 3(2)7-x = 4(3)

37. From A to B in Betty Wong, the first half time is 1 km per minute, and the second half is 0.8 km per minute. The distance between AB and b is 60 kilometers. How many minutes does it take from A to B in Betty Wong?

Suppose it takes x minutes for Betty Wong to get from place A to place B, then

( 1/2)X * 1+( 1/2)X * 0.8 = 60

X=200/3。

38. The waterway length of Shanghai and Wuhan is 1075 km. Two ships set out from two ports at the same time, facing each other. The speed of the ship from Hankou is 26 kilometers per hour, and that from Shanghai is 17 kilometers per hour. The two ships met in a few hours.

Suppose two ships meet in x hours, then

26*X+ 17*X= 1075

Drawing: X=25

39. Party A and Party B walk in opposite directions at the same time, with Party A walking 4.5km per hour and Party B walking 3km per hour. After meeting for the first time, they walked on. As soon as A arrives at B, it returns at the same speed, and as soon as B arrives at A, it returns at the same speed. They walked for four hours from the beginning to the second meeting. What is the distance between a and b?

Two people began to meet for the second time, and * * * left three AB, so

The distance between AB =(4*4.5+4*3)/3= 10KM.

40. The ratio of the number of parts planned to be processed by master and apprentice is 1: 3. After processing 60 pieces each, the proportion of the remaining parts is 3; 10, how many parts does the apprentice have now?

The ratio of the number of master-apprentice plans is (1*7):(3*7) The difference is 3*7- 1*7=2*7, and the difference remains unchanged after handling 60 pieces.

7 : 2 1 2 1 - 7= 14

(3*2):( 10*2) The difference is 10*2-3*2=7*2, (the rest are consistent with the scheme).

6 : 20 20 - 6 = 14

Apprentices processed 2 1-20= 1 copy, that is, 60 copies, and now there are 60*20= 1200 apprentices.

4 1. The passenger car and the truck travel from A and B at the same time. Three hours later, the bus arrived at the midpoint of A and B, 30 kilometers away from the truck. If the speed ratio of bus and truck is 4; 3. How many kilometers is it between Party A and Party B?

After 3 hours, the bus has moved 1/2, and the truck has moved (1/2)*(3/4)=3/8.

Whole journey: that is, the distance between Party A and Party B is 30/(1/2-3/8) = 240km.

42. Master and apprentice will process a batch of parts, and it is planned to allocate them to master and apprentice for simultaneous processing according to the ratio of 3: 2. The apprentice processes six pieces per hour, and the master processes 10 pieces per hour. When the master is finished, the apprentice still has three parts to deal with. How many pieces did the apprentice process?

The master has 10 per hour, and the apprentice should do10 * 2/3 = 20/3 according to the master's 2/3, but he actually did 6 per hour, and he did 20/3-6=2/3 less per hour.

It took 3/(2/3)=4.5 hours. After the master finished, the apprentice left three parts unprocessed and the apprentice processed 6*4.5=27.

43. 13 plums = 2 apples+1 peach, 4 plums+1 apple = 1 peach, and several plums = 1 peach?

13 plums =2 apples +4 plums+1 apple

3 plums = 1 apple

1 peach =4 plums +3 plums =7 plums

44. There are 83 students in Class A and Class B, 86 students in Class B and Class C, and 85 students in Class C. How many students are there in each class?

A+B+C =[83+86+85]/2= 127

A = 127-86=4 1

B = 127-85=42

C = 127-83=44

45. Two cows and four sheep graze 27kg a day, six cows and 15 sheep graze 90kg a day, and 1 cow and 1 sheep graze how many kilograms a day?

6 cows+12 sheep =27*3=8 1

3 sheep =90-8 1=9

1 sheep =3

1 ox =[27-4*3]/2=7. five

1 cattle+1 sheep =3+7. 5= 10。 5 kg

46. Four basketballs and three volleyballs * * cost 14 1 yuan, five basketballs and four volleyballs * * cost 180 yuan. How much is basketball and volleyball each?

1 basket+1 line =180-141= 39

1 basket = 14 1-39*3=24

1 row = 39 * 4-141=15 yuan.

47. Xiao Qiang bought five boxes of sugar and Xiaohong bought five boxes of cakes, which made a total of 44 yuan. If Xiao Qiang and Xiaohong exchange a box, the price of everything will be equal. How much is a box of sugar and a box of cake?

1 sugar+1 egg =44/5=8. eight

4 sugar+1 egg =44/2=22

1 sugar =[22-8. 8]/3=4。 4 yuan

1 egg =8. 8-4。 4=4。 four

48. There are 10 red ball black ball * *, 7 red ball white ball * *, 5 black ball white ball * *. How many balls are there in each of the three kinds?

Red+white+black = [10+7+5]/2 =11.

Red = 1 1-5=6.

White =11-10 =1

Black = 1 1-7=4

49. There are two barrels of oil weighing 275 * *. After taking out five-tenths of the first barrel and four-sevenths of the second barrel, the remaining two barrels weigh the same. How many kilograms are there in the first two barrels?

Solution:. Four-nineths of the first bucket is equal to three-sevenths of the second bucket. So the weight ratio of the two barrels is three-sevenths: four-nineths = 27: 28.

So the first bucket has 275 * 27/(28+27) = 135.

The second bucket has 275 * 28/(27+28) = 140.

50. A bamboo pole is stuck in the river. Water accounts for one-third of the total length, one-third more than mud, and the length above the water surface is 3 meters. What is the total length of this bamboo pole?

Solution: Because there is 1/3 in the water, more than 1/3 in the mud, and 4/3 in the mud, there is (1/3) * (4/3) = 1/4 in the mud, so there is some nudity.

1-1/3-1/4 = 5/12 = 3m, so the total length = 3/(5/12) = 7.2m..