2. It is known that the sum of two natural numbers is 54, and the difference between the minimum common multiple and the maximum common divisor is 1 14. Find these two numbers.
3. The sum of Party A and Party B is 23, that of Party B and Party D is 30, that of Party A and Party D is 27, and that of Party A and Party D is 25. What is the sum of Party A, Party B and Party D?
4. A number divided by 2 remainder 1, divided by 3 remainder 1, divided by 4 remainder 1, divided by 5 remainder 1, divided by 6 remainder 1, what is this number?
The school choirs are all students from Class A, Class B and Class C, of which Class A and Class B have 60 students ... The choirs have 100 students who are not in Class A and 90 students who are not in Class B. Q:
(1) How many students are there in Class A and Class B in the choir?
(2) How many students are there in the choir?
6. There are 234 boys and 46 girls in a school. After dividing the boys and girls into equal groups, there are three boys and three girls left. Minimize the number of groups. How many people should there be in each group? How many groups can you divide into?
7. There are large, medium and small pools with 5m, 3m and 2m inside respectively. When two piles of gravel were submerged in the water of small and medium-sized pools, the water levels of the two pools increased by 6 cm and 4 cm respectively. If these two piles of gravel are submerged in the water of the big pool, how many centimeters will the water level in the big pool increase?
Eight, five referees give a gymnast a score, and after removing a highest score and a lowest score, the average score is 9.38. If one of the highest scores is removed, the average score is 9.26; If the lowest score is removed, the average score is 9.46. What are the highest and lowest scores of this gymnast?
9. In order to get good grades in the "Hope Cup" math contest, Xiaohua made four training questions by herself (the full score of each training question is 120). He got 90 points in the first training question and 100 points in the second training question. How many points does the third training question need at least to make the average score of the four training questions reach 105?
10, an ant found a big caterpillar, and he couldn't move it himself, so he asked 24 ants for help and hasn't moved it yet; So we have to find three ants for each ant, but we still can't move them. Everyone came back, and each ant found two more ants, and finally carried the big green bug back. How many ants carry insects?
1 1. Write the number 6 to the left of a two-digit number, and the three-digit number is exactly nine times the original two-digit number.
What are the original two digits?
Class 2 12, Grade 5 participated in tree planting. If everyone plants 7 trees, there will be a shortage of 18 trees. If everyone plants 5 trees, there will be 14 trees left. How many people are there in Class Two, Grade Five?
13. Add B and C and water 100 potted flowers at the same time. It is known that A poured 78 pots, B poured 68 pots and C poured 58 pots. So how many pots have all three watered?
14, the flour delivered by a canteen is five times that of rice. If you eat 30 kg of rice and 75 kg of flour every day, after a few days, all the rice is eaten, leaving 225 kg of flour?
15. Put 330 red glass balls and 360 green glass balls into small boxes respectively, so that the number of glass balls in each box is the same, and fill the largest number. How many small boxes can a * * * hold?
16. Li Ming sold three baskets of cabbage yesterday, each weighing one kilogram. The first basket sells for 1.04 yuan, the second basket sells for 1.95 yuan, and the third basket sells for 2.34 yuan. The price of each 1 kg cabbage is sold at the price stipulated in the local market. How many kilograms are there in each of these three baskets of cabbage? How many kilograms of cabbage did Li Mingyi sell?
17. Spot weld the iron plate shown in Figure 32- 1 on a large iron piece, so that there must be a solder joint at each corner, and the distance between the solder joints on each side is equal. How many points should I weld at least? (Unit: cm)
18. When two digits are divided by 472, the remainder is 17. What is this two-digit number?
19. A number divided by 40 is less than 2 and divided by 68 is less than 2. What is the maximum quantity?
20. There are 234 boys and 46 girls in a school. After dividing the boys and girls into equal groups, there are three boys and three girls left. Minimize the number of groups. How many people should there be in each group? How many groups can you divide into?
2 1. In a math contest, one-seventh of the students got an A, one-third got a B, one-half got a B, and the rest or less. It is understood that less than 50 students took part in the competition. How many students won?
22. A project of A will be done by B in 5 hours and completed in 3 hours; B Do it in nine hours and it will be finished in three hours. So how many hours does it take for A to do it, and what about after B does it for an hour?
23. Mingming's class took a math test, and Mingming scored 62 points, which is not a clear score. The average score of other students is 98. If you count Mingming's grades, the average score of other students is 97. How many students are there in the class?
24. Series A, 134562, 13456, 1346, what is the fourth number?
25. A classroom is 8 meters long, 6 meters wide and 4 meters high, with 22.4 square meters of doors and windows. How many square meters do you need to draw? On average, 200 grams of wall powder is used per square meter. How many kilograms of wall powder does a * * * need?
26. There are large, medium and small pools, the inside of which is 5m, 3m and 2m respectively. When two piles of gravel were submerged in the water of small and medium-sized pools, the water levels of the two pools increased by 6 cm and 4 cm respectively. If these two piles of gravel are submerged in the water of the big pool, how many centimeters will the water level in the big pool rise?
27. A barrel of oil weighs 5 kilograms. I used 3/5 for the first time and1/4kg for the second time. How many kilograms of oil are left?
28. The sum of the maximum factor, minimum divisor and minimum multiple of a number is 25. What's this number?
29. The product of two prime numbers is 46. What is the sum of these two prime numbers?
30. Use prime numbers within 10 to form a three-digit number, which can be divisible by 3 and 5 at the same time. What is the minimum quantity? What's the highest?
3 1, Xiaoming is a junior two student. Once, he took part in a math contest and won a prize. According to Xiaoming's ranking, the product of his score and his age is 3237. What is Xiaoming's age, score and ranking?
32. It is known that the sum of two natural numbers is 54, and the difference between the minimum common multiple and the maximum common divisor is 1 14. Find these two numbers.
There are 5 grams of sugar in a glass of water. After being filled with water, the first person drinks half, then adds 3 grams of sugar and leaves. The second man drank half of it, then added 3 grams of sugar and left ...1995 When everyone drank the water in the cup, everyone also added 3 grams of sugar to the cup and stirred it evenly. Can the water in the cup be increased to 10g at this time? Why?
34. There are three kinds of drinks at the dinner party. After dinner, 65 bottles of three kinds of drinks were used. On average, every two people drink a bottle of drink A, every three people drink a bottle of drink B and every four people drink a bottle of drink C.. Excuse me: * * How many people will attend the party?
35. It is known that the sum of squares of two natural numbers is 900, and the product of their greatest common factor and least common multiple is 432. Think about it: What are these two natural numbers?
36. Find the natural number solution of 3x+2y= 14.
37. The sum of A and B is 23, the sum of B and D is 30, the sum of A and D is 27, and the sum of A and D is 25. What is the sum of Party A, Party B and Party D?
38. Xiaoming walks 100 meters per minute, and Xiaohong walks 80 meters per minute. After two people walked back for five minutes at the same time, Xiao Ming turned to chase Xiaohong. How many meters did Xiaoming catch up with Xiaohong?
There are about 20 strawberries in a plate, and several children share them. If everyone is divided into three parts, there are still two left. If everyone is divided into four parts, it's three parts short. How many strawberries are there in this plate?
40. Pour part of a barrel of oil into an empty tank. When the weight of oil in the barrel is 4 kg more than that in the tank, then pour 27 kg of oil in the barrel into the tank. At this time, the proportion of oil in the tank is 184 g. How many kilograms is this barrel of oil? (Equation solving)
4 1. A cuboid with the same length and width, if the height is cut off by 4 decimeters, the rest becomes a cube, and the surface area is 80 square decimeters less than the original. What is the volume of the original cuboid?
42. If a pupil walks from home to school at a speed of 50m/min, he will be three minutes late; If you walk at a speed of 70 meters per minute, you will arrive at school five minutes early. Ask him about the distance between his home and school.
43. For a project, it takes 9 days for Party A and Party B to cooperate, 65,438+08 days for Party B and 65,438+02 days for Party A, Party B and Party C.. How many days does it take for Party A, Party B and Party C to cooperate?
44. Along the escalator rising at a constant speed, A went down from top to bottom, taking 150 steps; B walked from bottom to top, taking 75 steps. If the speed of A is three times that of B, how many steps does this escalator have? (See Part)
45. A number divided by 2 remainder 1, 3 remainder 1, 4 remainder 1, 5 remainder 1, 6 remainder 1. What is the number?
46、 1*2*3*4*。 . . . . . *98*99* 100 is a number. * * * How many zeros are there?
47. Five judges scored a gymnast, and after removing a highest score and a lowest score, the average score was 9.38. If one of the highest scores is removed, the average score is 9.26; If the lowest score is removed, the average score is 9.46. What are the highest and lowest scores of this gymnast?
48. One day, Xiaohui and Teacher Liu had a heart-to-heart talk. Xiaohui asked, "Teacher, how old are you this year?" Teacher Liu replied: "Guess, when I was your age, you were only 1 year old;" When you reach my age, I will be 34 years old. "How old is Miss Liu this year?
49. If the sum of four consecutive odd numbers is 2008, what is the smallest odd number?
50. Aunt Zhang gave the same number of apples and oranges to several children, and each child got 1 apple and 3 oranges.