Class name score
Fill in the blanks.
1. In the formula □× 5 ÷ 3× 9+11=1991,the number to be filled in is ().
There is a two-digit number, and the tenth digit is three times the last digit. If you exchange two numbers, you will get a new two-digit number. The sum of these two numbers is 132, and the original number is ().
3. Red, yellow, blue and green 10 balls are mixed in a cloth bag, and at least () balls are taken out at a time to ensure that the colors of the two balls are the same.
4. The length of the train is150m, and it runs every second19m. It takes () seconds for the whole train to cross a 420m-long bridge.
5. There are 5 people (A, B, C, D, E * * *), and 2 people are selected as the mutual learning group. * * * There are () kinds of composition methods.
6. Simplify 24x+0.8+(8x-0.7) to ().
7. The solution of the equation 3x-5+2X= 4x-3 is X= ().
There are seven story books and three math books on the shelf. Xiao Ming has () ways to take any book from the shelf. If Xiao Ming takes a story book and a math book, there are () ways.
9. The weight of a cow is equal to the weight of two horses, three pigs, a horse plus a pig and a sheep. Then a cow is equal to the weight of () sheep.
Second, the application problem.
1. The average number of 9 known is 72. After removing one number, the average of the remaining numbers is 78. What is the number removed?
2. A car travels back and forth between Party A and Party B at a speed of 40 kilometers per hour, and returns at 60 kilometers per hour. Find the average speed of this car.
3. It takes 80 seconds for the train to pass through the bridge of 199m and 72 seconds to pass through the tunnel of 172m at the same speed. Find the speed of the train.
Master Zhang processes twice as many parts as Master Wang. If Master Zhang removes 27 parts, then Master Wang will process twice as many parts as Master Zhang. How many parts has Master Wang processed? 5. Distribute a batch of sweets to the children. If everyone is divided into three parts, it will be more 12, and if everyone is divided into five parts, it will be less 10. How many children are there?
6. There are 49 young pioneers in Hedong who are going to Hexi to attend the June 1st celebration, but there is only one boat on the river that can carry five people. How many times does it take to get to the other side?
Examination paper of fifth grade mathematics competition
1、4.4+4.4× 12+ 13×5.6=
2,18 ÷ [20 ÷ 4× (□-3)-1] = 2, then □ =
3, A, B, C, D four barrels of oil, A, B, C three barrels of average 24 kg per barrel, B, C, D three barrels of average 26 kg per barrel. It is known that the weight of a bucket is 28kg, and that of a bucket is 1 kg.
4. Young pioneers planted trees. If each person plants 5 trees, there will be 12 trees left; If there are seven trees for each race, there will be four fewer trees. There are people in the Young Pioneers team; Plant a tree.
5. Provisions: The symbol "△" means to select the larger one of the two numbers, and "○" means to select the smaller one of the two numbers. For example: 3△5=5, 3 △ 5 = 3. therefore
[(7○3)△5]×[5○(3△7)]=
6. Xiaoling has five cents and two cents * * 18, with a currency value of ***8 1. She has two nickels and five nickels.
Teacher Kun Wang provides: Basic exercises of classic combination in grade six.
1. There are two roads from A to B, four roads from B to C, three roads from A to C without B, and three different roads from A to C. 。
2. There are three, five and two "three good students" in Class A, Class B and Class C respectively. Now we have to choose two "miyoshi students" from different classes to attend the "miyoshi student congress". * * * There are different selection methods.
3. Choose two students from A, B and C to participate in the activities on a certain day, one of them will participate in the activities in the morning and the other will participate in the activities in the afternoon. There are different ways to choose.
4. Take out three letters at a time from the four letters A, B, C and D and arrange them in a row. * * * There are different arrangements.
5. If four of the six volunteers are selected to engage in four different jobs: translation, tour guide, shopping guide and cleaning, three will be selected.
6. There are five railway stations, A, B, C, D and E * * *, all of which have shuttle buses. I need to prepare an inter-station train ticket.
7. There are 14 teams participating in the national football league in a certain year, and each team has to play a game with the other team at home and away.
8. Numbers 1, 2, 3, 4, 5, 6 can form a positive integer, and there are no duplicate numbers.
9. The number of10 can form a three-digit number from 0 to 9, and there is no duplicate sign.
10.( 1) There are five different books, and three books are selected for three students, each 1. * * * There are different selection methods;
(2) There are five different books, so buy three books for three students, each 1 book.
1 1. It is planned to exhibit 10 different paintings, including watercolor painting 1 painting, 4 oil paintings and 5 Chinese paintings, which are displayed in a row, requiring that the paintings of the same variety must be connected together, so there are different display methods.
12.( 1) continuous arrangement 18 people, with few different arrangements;
(2) Arrange 18 people in two rows, with 9 people in each row, with different arrangement methods;
(3) Arrange 18 people into three rows with 6 people in each row.
13.5 people stand in a row, (1) where A and B must be adjacent and have different arrangements;
(2) A and B cannot be adjacent, so they have different arrangements;
(3) Where A does not stand at the head and B does not stand at the tail, there are different arrangements.
14.5 students and 1 teacher took photos. Teachers can't stand at the front or the back. * * * The way to stand is different.
15. Four students and three teachers lined up to take pictures. Teachers can't line up at both ends. Teachers must line up together in different ways.
16. There are 7 parking spaces in the parking lot, and now there are 4 cars to park. If you want to connect three parking spaces, there are several parking methods.
17.7 athletes choose 4 relay teams to participate in the 4× 100 meter race, so there are several arrangements for A and B not to run the middle two bars.
18. A pocket contains 7 white balls and 1 black balls of the same size. (1) Take out three balls from your pocket. * * * There are ways;
(2) Take three balls out of the pocket to make them contain 1 black ball, and take them properly;
(3) Take three balls out of your pocket and make them free of black balls.
19. Four football teams, A, B, C and D, played a round robin match:
(1) * * needs an arena;
(2) There may be champions and runners-up.
20. According to the following conditions, five people are selected from 12, with different methods.
(1) A, B and C must be selected;
(2) Party A, Party B and Party C cannot be elected;
(3) A must be selected, but B and C cannot be selected;
(4) Only one of Party A, Party B and Party C was elected;
(5) A, B and C, with a maximum of two people;
(6) Party A, Party B and Party C were elected at least 1;
2 1. A song and dance troupe has seven actors, three of whom can sing, two can dance, and two can both sing and dance. Now we will choose two of the seven actors, one singing and the other dancing, and go to the countryside to perform.
22. Three boys and two girls were selected from six boys and m-girls to undertake five jobs, A, B, C, D and E, respectively, with different distribution methods.