Fourth grade olympiad math problem

1. A school has 100 students who participated in the math contest, with an average score of 63, including 60 for boys and 70 for girls. More boys than girls ().

There is a pile of black and white debris, in which the number of sunspots is twice that of Bai Zi. If four sunspots and three Bai Zi are taken out of this pile at the same time, after taking out () times, there are 1 albino and 18 sunspots.

The school spent 185 yuan to buy four basketballs and five volleyballs. A basketball is more expensive than a volleyball, and the unit price of basketball is () yuan.

Xiao Qiang likes collecting stamps. He bought 4 stamps and 8 stamps with 1 yuan, and 20 stamps with * * *, so he bought 4 stamps ().

5. Mother squirrel picks 20 pine nuts every day in sunny days and 12 in rainy days. It picks 1 12 continuously, with an average of 14 per day. There are () rainy days these days.

6. Some coins with 2 cents and 5 cents ***299 cents, of which the number of 2 cents is four times that of 5 cents, and there are () coins with 5 cents.

7. Some people get that 50 yuan in 240 yuan includes 2 yuan, 5 yuan and 10 yuan, among which 2 yuan and 5 yuan have the same amount, so there is () 10 yuan.

8. Buy some stamps with 4 points, 8 points and 1 point * * 15, with 100 points. You can buy at most 1 cent ().

9. Buy some stamps with 4 cents and 8 cents. It costs 80 cents for 6 yuan. It is known that there are 40 8-cent stamps more than 4-cent stamps, so there are () 8-cent stamps.

10,200 chickens and rabbits * * *, 56 chickens have fewer feet than rabbits, so there are () chickens and () rabbits?

1 1, there is a truck carrying 2000 glass bottles, and the freight is calculated according to the number of intact bottles when they arrive, and each bottle is 20 cents. If there is any damage, 1 bottle should be returned 1 yuan, and the freight is 379.6 yuan. I wonder if the glass was damaged this time.

12, a math exam ***20 questions, get 5 points for doing one question right, deduct 1 point for doing one wrong, get 0 points for not doing it, and get 76 points for Xiaohua. Ask him to do the right () question.

13. If Party A and Party B shoot and hit, Party A will get 4 points and Party B will get 5 points; If not, Party A will deduct 2 points and Party B will deduct 3 points. Each person will shoot 10, and * * * will hit 14. When the score is settled, Party A has more 10 points than Party B, and Party A is required to score () and Party B ().

14, chickens and rabbits in the same cage, * * * has 100 head and 3 16 foot, so there are only () chickens and () rabbits.

15, Xiaoming spent 4 yuan money to buy New Year cards and postcards, *** 14, with 35 points for New Year cards and 25 points for postcards. He bought () New Year cards and () postcards.

16, a math contest was held in the sixth grade of Donghu Primary School, with ***20 questions. If you answer a question correctly, you will get 5 points. If a question is not done or a question is wrong, 3 points will be deducted. If Liu Gang got 60 points in the exam, then he did a problem correctly ().

17. Chicken and rabbit * * * have 100 feet. If the chicken is replaced by a rabbit and the rabbit is replaced by a chicken, * * * has 92 feet, a chicken () and a rabbit ().

18, 100 steamed buns 100 monks, three for each big monk and one for each little monk, so there are () big monks and () little monks.

19, 30 coins, consisting of 2 points and 5 points, * * * value 99 points, 2 points for () coins and 5 points for () coins.

20. There are 27 boxes of pens and pencils, including 300 pens, 10 pens and 12 pencils, so there are () boxes of pens and () boxes of pencils.

2 1, chicken and rabbit are in a cage, * * * has 248, and rabbit is 52 less than chicken, so there are () chickens.

22. Workers delivered 250 celadon vases, and agreed to deliver them to their destination in one piece and pay the freight to 20 yuan. If one is damaged, it will cost 100 yuan. After transporting these vases, the worker got 4400 yuan, and only () was damaged.

22. There are 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces, 20 pieces

Teacher Zhang, the head teacher, took 50 students from Grade Five to plant trees. Teacher Zhang planted 5 trees, 3 boys and 2 girls, a total of 120 trees. Ask () boys and () girls.

24. The big oil bottle is 4kg in one bottle, and the small oil bottle is 2 bottles 1kg. The existing 100kg oil contains 60 bottles of * * *. There are () big bottles and () small bottles.

25. The kitten took part in the math contest, did 20 questions and got 64 points. He got 5 points right, didn't get 0 points, and made a mistake 1 point, knowing that he did as many questions as he didn't. Ask the kitten to do the correct () question.

26. There are three kinds of animals, including spiders, dragonflies and cicadas. * * There are 1 18 legs and 20 pairs of wings (spiders have 8 legs; Dragonflies have six legs and two pairs of wings; Cicada has six legs, 1 wings). How many animals are there in each of these three animals?

27。 Let the sheep eat grass, assuming that the growth rate of grass is the same every day (uniform growth), 20 sheep can eat it all in 5 days; 14 sheep 10 day can be eaten; So, how many sheep can you eat in four days?

28. A toy factory put 630 toys into five plastic bags and six paper bags respectively. There are as many toys in one plastic bag as in three paper bags. How many toys are there in each plastic bag and paper bag?

29. The department store shipped 300 pairs of sports shoes in two wooden cases and cartons. If there are as many sports shoes in two cartons as in one wooden box. How many pairs of sports shoes are there in each wooden box and carton?

30. xinhua primary school bought two tables and five chairs and handed them over to 195 yuan. As we all know, the price of each table is four times that of each chair. How much is each table?

3 1. Uncle Wang bought 3 Jin of litchi and 4 Jin of longan, and paid 156 yuan. As we all know, the price of 5 kg litchi and 2 kg longan is equal. How much is litchi and longan per kilogram?

32. Weight of a barrel of oil180kg. Half used, there is still 100 kg in the bucket. How much does the oil and barrel weigh?

33. A basket of pears weighs 38 kilograms. Half sold, there are still 20 kilograms in the basket. How much do pears and baskets weigh?

34. A basket of apples weighs 35 kilograms. Give half to the children in kindergarten first, and then half to the children in grade one. The remaining apples are 1 1 kg. How much does this basket of apples weigh?

35. There is some oil in the oil drum. If the oil is doubled, the oil drum will weigh 38 kilograms. If the oil quadruples, the oil and oil drums will weigh 46 kilograms. How many kilograms of oil are there in the oil drum?

36. There are five boxes of tea. If 200 grams are taken out of each box, the remaining tea leaves are exactly the same as the original four boxes of tea leaves. How many grams are there in each box of tea?

37. There are six baskets of pears, and each basket has the same number of pears. If you take out 40 pears from each basket, the sum of the remaining pears is exactly the same as the original two baskets. How many pears are there in each basket?

There are as many oranges in five wooden boxes. If you take out 60 oranges from each box, the sum of the remaining oranges is exactly the same as the original two wooden boxes. How many oranges are there in each box?

39. A grocery store has the same five boxes of biscuits. If you take out 20 kilograms from each box, the total number of biscuits left is exactly equal to the weight of the original three boxes of biscuits. How many kilograms are there in each box of biscuits?

40. A timber factory will produce a batch of desks. Originally planned to produce 60 sheets a day, in fact, 4 sheets were produced more than originally planned. Results The task was completed 1 day ahead of schedule. How many desks were originally planned to be produced?

4 1, the TV factory received a batch of production tasks. It is planned to produce 90 sets per day, which can complete the task on time; Actually, five more units were produced every day, and the task was completed 1 day in advance. How many TV sets are there in this batch?

42. Xiaoming read a story book. He planned to read 12 pages every day, but actually he read 8 more pages every day. As a result, he finished reading it two days in advance. How many pages does this story book have?

43. Build an expressway. It was originally planned to build 60 meters a day, but actually it was built 15 meters more than the original plan, and it was completed four days ahead of schedule. How many meters did a * * * make?

44. There are two boxes of pushpins, 72 in A box and 48 in B box. How many pushpins should be taken from A box and put into B box to make the two boxes of pushpins equal?

45. There are two bags of flour. The first bag of flour is 24 kg, and the second bag of flour 18 kg. How many kilograms are taken from the first bag of flour and put into the second bag of flour to make the two bags of flour equal?

46. There are two boxes of pushpins, 72 in box A and 48 in box B. Take out four pushpins from box A and put them in box B at a time. How many times can you take them to make two boxes of thumbtacks equal?

47. There are two bags of sugar. There are 68 pieces in the first bag and 20 pieces in the second bag. Take 6 tablets out of the first bag and put them in the second bag at a time. How many times do you have to eat to make these two bags equal?

48. A power plant has 10200 tons of coal. In the first 10 days, it burned 300 tons of coal every day. Later, it improved the stove and burned 240 tons of coal every day. How many days can this pile of coal burn?

49. A refrigerator factory wants to produce 1560 refrigerators. It has been produced for 8 days. One day, 120 refrigerators were produced, and the other day, 150 refrigerators were produced. How many days will it take to complete this task?

50. A factory plans to produce 36,500 sets of bearings. In the first five days, an average of 265,438+000 sets were produced every day. Later, the operation method was improved, and an average of 2600 sets were produced every day. How many days will it take to complete this batch of bearings?

5 1. A machine tool factory plans to produce 40 machine tools every day and complete the task in 30 days. Now we must finish the task 10 days in advance. How many units will we produce every day?

52. The master and apprentice began to process 200 parts at the same time, and the master processed 25 parts per hour. When completing the task, the apprentice has to work for 2 hours to complete the task. How many parts does the apprentice process per hour?

53. Master Zhang and he started making 90 toys at the same time. Master Zhang makes 10 toys every day. When completing the task, Li Shifu must do 65,438+0 days to complete the task. How many parts are produced in Li Shifu every day?

54. Xiao Ming of Obana started to write 192 Chinese characters at the same time. Xiaohua writes 24 times a day to complete the task, and Xiao Ming has to write for 4 days to finish it. How many words does Xiaoming write every day?

55. The Harvest Farm Tool Factory planned to produce 2,400 farm tools in 20 days, but actually produced 30 more every day. This can finish the task a few days in advance.

56.a and B are 200 kilometers apart. It takes 5 hours by car and 40 hours on foot. Xiao Ming starts from A and walks for 8 hours before taking the bus. How many hours will it take?

57. The workshop of a toy factory should produce 900 toys. If it is done by hand, it will take 20 hours to finish, and it only takes 4 hours to use the machine. The workers in the first workshop will do it by hand for 5 hours, and then turn the machine. How many hours will it take to finish this task?

58.a and B are 200 kilometers apart. It takes 5 hours by car and 40 hours on foot. Xiaoming starts from place A, takes a five-hour bus ride first, and then walks. How many hours does it take him to get from A to B?

59.a and B are 300 kilometers apart. It takes five hours for a motorcycle company to complete the journey, and 25 hours for a bicycle. Xiao Ming starts from place A, first rides a bike for 5 hours, and then rides a motorcycle. How many hours does it take him to get from A to B?

60. A road team built a 4,200-meter-long road. Originally, it was planned to build 4 meters per person every day, but it was completed by 2 1 person. Four people were added in the actual construction, so the task can be completed a few days in advance.