Article 1 1. There are 100 students in grade 6, each of whom likes at least one of sports, literature and science. Among them, 55 people like sports, 56 people like literature and art, 5 1 people like science, 15 people like all three, 4 people only like sports and science, 17 people only like sports and literature. Q: How many people only like science and literature? How many people only like sports? 2. There are 28 people who take part in the track and field sports meeting, and each person takes part in at least two competitions. It is known that 8 people did not participate in running events, and the number of people who participated in throwing events and running and jumping events was 17. Q: How many people only run and throw?
3. There are three questions A, B and C in the school math contest, and at least 25 people answered correctly, including 10, 13 and 15. If only one person answered all three questions correctly, how many people answered only two questions correctly and how many people answered only one question correctly?
4. Luo Ming, Li Yang and Zhao Gang each have several books, Luo Ming and Li Yang have 33 books, Luo Ming and Zhao Gang have 39 books, and Li Yang and Zhao Gang have 34 books. Q: How many books does each of them have?
5. There are 88 students in Class A and Class B, 97 students in Class B and Class C, and 94 students in Class C and Class D. How many students are there in Class A and Class D?
On a hot summer day, 10 primary school students went to a cold drink shop, and everyone bought a cold drink. Six of them asked for soda, six for coke, four for juice, three for soda and coke, 1 both for soda and juice, and two for coke and juice. Q: (1) How many people want all three? (2) How many people are there as long as they are the same?
7. There are 28 students in a school who take part in the regional sports meeting. As can be seen from the registration form, the number of participants in the running event is 15, the number of participants in the jumping event is 13, the number of participants in the throwing event is 14, the number of participants in both running and jumping events is 4, the number of participants in both running and throwing events is 6, the number of participants in both jumping and throwing events is 5, and the number of participants in the three events is 5.
Try to prove that there is something wrong with this application form.
8. The school holds a chess competition, which consists of three items: chess, go and military chess, and each person can participate in at most two items. According to the number of applicants, the school decided to award prizes to the top six players in chess, the top four players in Go and the top three players in military chess. Q: How many winners are there at most? How many people at least?
There are 25 students in the class, of whom 17 can ride a bike, 13 can swim and 8 can skate. There are no plenary meetings for these three items. Students who know at least one of these three sports have passed math, but they are not excellent. If six people in the class fail in math, ask: (1) How many people in the class are excellent in math? (2) How many people can swim and skate in the class?
10. There are 42 students in Class One, Grade Two, including 33 Young Pioneers. There are 20 boys and 4 girls in this class who are not Young Pioneers. How many boys are young pioneers?
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65,438+0.47 students took the math and Chinese exams, of which 65,438+02 students got 65,438+000 points in Chinese, 65,438+07 students got 65,438+000 points in math, and 26 students didn't get 65,438+000 points in both subjects. Q: How many people are there in two subjects 100? 2. There are 46 students in the class, 18 can only play table tennis, 7 can play table tennis and badminton, and 6 can't. Q: How many people can only play badminton?
3. The TV station investigated the situation of 100 people watching TV yesterday. 62 people watched Channel 2, 34 people watched Channel 8, and 1 1 people watched both channels. Q: How many people have never watched any channel?
There are only two questions in the math test. Results The whole class 10 was all right, the first question was 25 right, and the second question 18 wrong. How many people are wrong about both questions?
On Children's Day, 45 students in the class went to the Summer Palace to play, 33 rowed, 20 climbed mountains, and 5 students didn't row or climb mountains because of poor health. They visited the long corridor. Q: How many students row boats and climb mountains?
There are 50 students in the class, 23 can't ride a bike, 35 can't roller skate and 4 can do both. Ask for the number of people who can't do both.
7. Wuyi Primary School held an art exhibition for primary school students, 18 for non-sixth grade and 20 for non-fifth grade. Now we know that there are 22 paintings on display in Grade Five and Grade Six. Q: How many paintings were exhibited in other grades?
8. 100 students, only 1 has never studied a foreign language, 39 has studied English, 49 has studied French, 4 1 has studied Russian, 14 has studied English and French, 13 has studied English and Russian, and 9 has studied French and Russian. Q: How many people have learned all three languages?
9. There are 42 students in a class, among whom 26 love playing basketball, 17 love playing volleyball, 19 love playing football, 9 love playing basketball and football, and 4 love playing volleyball and football. No one likes three kinds of balls, and no one doesn't like them. Q: How many people like playing both basketball and volleyball?
10.64 Primary school students have subscribed to newspapers, of which A newspaper 28, B newspaper 4 1, C newspaper 20, A newspaper, B newspaper 10, A newspaper, C newspaper 12, B newspaper and C newspaper 65438+. Q: How many people have subscribed to these three newspapers?
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1. 1 1 There are 6000 Chinese and foreign books on science, technology and literature, including 4560 Chinese books, 3060 literary books and 840 foreign books on science and technology. Q: How many foreign languages are there? How many literature books are there in China? 2. Statistics of a primary school show that there are * * * students 1200 in the school, including 650 boys, 300 senior students, 60 excellent students 100 boys, 60 senior students 160 girls, 20 senior girls and 20 non-senior girls. Try to prove that there must be something wrong with this statistic.
In class, all the students are reviewing Chinese or math. Only 48% students review Chinese and only 50% students review math. Q: What percentage of the total number of people have reviewed both courses?
4. Find the number of natural numbers in 1000 (including 1000) that cannot be divisible by any of 3, 5 and 8.
5. How many of the top 200 natural numbers are divisible by 2 or 3 or 5?
6. How many natural numbers from 1 to 10000 are not divisible by 8 or 125?
7. What is the simplest true score * * * with 105 as the denominator?
8. There are three circles with an area of 30 square centimeters each, and the intersecting areas are 5, 6 and 8 square centimeters respectively, and the intersecting area of the three circles is 3 square centimeters (see Figure 6- 16). Find the area covered by three circles and a * *?
9. There are three round pieces of paper with an area of 20 square centimeters on the desktop (Figure 6- 17). The overlapping area of three sheets of paper is 8 square centimeters, and the total area of three sheets of paper covering the desktop is 36 square centimeters. Q: What is the total shadow area in the picture?
10. There are 46 students in one class. When investigating whether there are electronic organ and violin at home, it is found that 22 students have electronic organ, 14 students have neither, and the ratio of students who only have violin to students who have both is 5∶3. Q: How many people only have electronic keyboards?