Types of exam questions

1, chickens and rabbits live in the same cage, with 20 heads and 62 feet. How many chickens and rabbits are there?

Chicken and rabbit live in the same cage, with 35 heads and 94 feet. How many heads do chickens and rabbits have?

In a parking lot, 32 cars and motorcycles are parked. Among them, cars have four wheels and motorcycles have three wheels. These cars have 108 wheels. How many cars and motorcycles are there?

Xiaohua bought 34 commemorative stamps of 2 yuan and 5 yuan and spent money on 98 yuan. How many commemorative stamps of two yuan and five yuan did Qiu Xiaohua buy?

6. Forty-six people in the class went boating, and * * took a 12 boat, including 5 people in the big boat and 3 people in the small boat. How many big boats and small boats are there?

7. Aunt Zhang keeps 200 chickens and rabbits. The number of chickens and rabbits is ***560. How many chickens and rabbits are there?

8, cranes and turtles in the same pool, cranes are more than turtles 12, cranes and turtles have 72 feet. How many cranes and turtles are there?

9. Xiao just bought eight stamps and four stamps *** 100, and * * * paid them to 6.8 yuan. By the way, how many stamps did Xiaogang buy back? How much do you pay each other?

10, three students from Dongfeng Primary School participated in the math competition. There were 10 questions in a test paper, and they got 10 points for answering one question correctly. Not only did they fail to score because they answered a wrong question, but they were also deducted 3 points. All three students answered correctly. Xiaoming scored 74 points, Xiaohua scored 22 points and Xiaohong scored 87 points. They were three.

1 1. knowledge contest, 10 true or false questions, scoring rules: 2 points for each correct answer and 1 point for each wrong answer. Xiao Ming answered all the questions, but in the end he only got 14. How many questions did he answer wrong?

12. A convoy transported 500 cases of thermos bottles for the supermarket, each with 6 thermos bottles. It is known that the freight for each 10 thermos bottle is 5 yuan. A damaged 10 yuan, and the transportation team will get 1.350 yuan after delivery and settlement. Q, * * * How many thermos bottles were damaged?

Spiders have eight legs, dragonflies have six legs and two pairs of wings, and cicadas have six legs and 1 pairs of wings. At present, these three species have 16 bugs, * * * have 1 18 legs and 14 pairs of wings. Q: How many birds are there in each species?

14, crab has 10 legs, mantis has 6 legs and 1 pairs of wings, and dragonfly has 6 legs and 2 pairs of wings. Now there are 37 of these three animals, and * * * has 250 legs and 52 pairs of wings. How many animals are there in each kind?

On 15, Xiaodong's mother got back the bonus 400 yuan from the company, including 80 for 2 yuan, 80 for 5 yuan and 80 for 10 RMB * *, and the same for 5 yuan and 10 RMB. How many pieces of each of these three kinds of RMB?

16, Xiaohua has 38 coins of 1, 2, 5 cents, a total of 90 cents and 2 cents. It is known that the number of coins in 1 is equal to the number of coins in 2 cents. How many coins are there in each of these three coins?

1. A math contest has ***20 questions. The grading standard is: 5 points for each question, and 1 point for each question. Xiaohua took part in the competition and got 64 points. Q: How many questions did Xiaohua get right?

2. Chickens and rabbits * * * are 65,438+000 feet. If the chicken is replaced by a rabbit and the rabbit is replaced by a chicken, * * * has 86 feet. Q: How many chickens and rabbits are there?

3. A cargo ship with a load of 260 tons and a volume of 1000 m3. Now it is carrying two kinds of goods, A and B. It is known that the volume of A is 8m3 per ton and the volume of B is 2m3 per ton. How many tons should A and B be loaded separately to make full use of the load and volume of this ship?

4. The whole cross-country cycling race is 220km, divided into 20 segments, one of which is 14km and the other is 9km. How many sections are 9 kilometers long?

There are a group of chickens and rabbits. The total number of legs is twice that of the head. There are 18 rabbits. How many rabbits are there?

6. If the multiplicand is increased by 15, the product is increased by180 with the multiplier unchanged; If the multiplicand remains the same and the multiplier increases by 4, the product increases by 120. What is the original product of multiplying two numbers?

7. How many numbers does it take to compile the page number of a 695-page story book? How many numbers are used in the number "5"?

8. It takes 6889 numbers to compile a dictionary. How many pages does this dictionary have?

9. 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 was settled, Party A scored 10 more than Party B. How many rounds did Party A and Party B win?

10. In a math exam ***20 questions, you get 5 points for doing one question right, 1 point for doing one wrong, and no point for doing it. Xiaohua got 76 points in the exam. How many questions did he get right?

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 return 1 yuan, and the freight is 379.6 yuan. How much glass was damaged in this transportation?

12. There are 200 chickens and rabbits, and the feet of chickens are 56 less than those of rabbits. How many chickens and rabbits are there?

13. Today, chickens and rabbits live in a cage. There are 35 rabbit heads with chicken heads and 94 rabbit feet with chicken feet. How many chickens and rabbits are there?

14. Spiders have eight legs, butterflies have six legs and two pairs of wings, and cicadas have six legs and a pair of wings. At present, there are three kinds of animals ***2 1, * * 140 legs and 23 pairs of wings. How many spiders, butterflies and cicadas are there?

There are 34 people playing on 15. 12 table tennis table. Q: How many tables are there for single and double?

16. There are 100 chickens and rabbits, and chickens have 80 more feet than rabbits. How many chickens and rabbits are there?

17. Teacher Zhang, the head teacher, took 50 students from Class Two, Grade Five to plant trees. Teacher Zhang planted 5 trees, a boy planted 3 trees and a girl planted 2 trees, a total of 120 trees. How many boys and girls did you ask?

18. One big oil bottle is 4kg, and the other two small oil bottles are 1kg. At present, 100kg oil contains 60 bottles of * * *. How many large and small oil bottles are there?

19. There are three classes *** 135 students in the third grade of Hong Ying Primary School. Class two has five more students than Class one, and Class three has seven fewer students than Class two. How many students are there in each class?

20. Teacher Liu took 4 1 students to go boating in Beihai Park, and * * * rented a boat of 10. Each big boat takes six people and each small boat takes four people. How many boats did you rent?

2 1. 20 chickens and rabbits, 44 feet long, several chickens and rabbits each.

22. In Xiaohong's piggy bank, there are 65 RMB * * * with face value of 2 yuan and 5 yuan, totaling 205 yuan. How many RMB are there in two denominations?

23. There are 50 large and small oil drums, each of which can hold 4 kilograms of oil, each of which can hold 2 kilograms of oil, and the big drum holds 20 kilograms more oil than the small drum. How many drums, big and small?

24. There are two barrels of oil weighing 86 kilograms. If you pour 4 kilograms of oil from barrel A into barrel B, the weight of the two barrels of oil is the same. How many kilograms are there in each barrel?

25. The porcelain shop entrusted the handling station to transport 800 vases, and both parties agreed that the freight for each vase was 0.35 yuan. If you break 1 vase, you will not only lose the freight, but also pay 2.50 yuan. Results After being transported to the destination, the freight for handling the station was 268.6 yuan. How many vases were broken?

26. The school held a sports meeting. There are 35 participants in grade three, and the number of participants in grade three is three times that of grade three. The number of participants in grade five is 65,438+00 more than the total number of participants in grades three and four. How many participants are there in the fifth grade?

27. Blue ink and red ink used to cost 30 cents a bottle, and Wang Ying primary school spent 12 yuan to buy several bottles every semester. Now, the price of a bottle of blue ink has increased by 5 points, while the price of a bottle of red ink has increased by 3 points. Although the quantity of two kinds of ink bottles is equal to that of each semester, they are paid more 1.8 yuan than each semester. How many bottles of each ink does this school buy each semester?

28. There are three kinds of animals in the compound. Every child wears three bells, every poodle wears a bell, and the big white goose doesn't. Xiao Ming counted that a * * * has nine heads and 28 legs, 1 1 bells. How many are there in each of the three animals?

29. The kitten took part in the math contest, did 20 questions and got 64 points. He got five points right, didn't get zero, and got two points wrong. He also knows that he did as many wrong questions as he didn't. How many questions did the kitten get right?

30. Zhao Chuanlun changed a 50 yuan RMB and a 5 yuan RMB into a 50 yuan RMB of 2.50 yuan. How many two denominations of RMB did he change?

3 1. Kindergarten bought 20 small tables and 30 small stools * * * spent 1860 yuan. It is understood that each small table is more expensive than a small stool, 8 yuan. What are the prices of small tables and stools?

Carnivores kept in zoos are divided into big animals and small animals. It is stipulated that large animals such as tigers and lions should be fed three kilograms of meat at a time, and small animals such as foxes and bobcats should be fed one kilogram every three heads. There are 100 animals in the zoo, and they need to be fed 100 kg of meat every time. How many animals are there?

33. Xiao Zhang has 20 yuan 20: 50 1 RMB *** 12 yuan RMB. How many three denominations of RMB are there?

34. Chickens and rabbits are cages. There are 26 more chickens than rabbits, with 274 feet. How many chickens and rabbits are there?

A TV factory produces 500 TV sets every day. In the quality appraisal, each qualified TV set will be deducted 5 points, and each unqualified TV set will be deducted 18 points. If you call 993 1 minute in four days, how many qualified TV sets have been produced in these four days?

All the students in Class Two, Grade Six planted 180 trees on Arbor Day. On average, each boy planted 5 trees and each girl planted 3 trees. It is also known that there are four more girls than boys. How many boys and girls are there in this class?

37. Cui went hunting in the mountains, killing two rabbits with five shots and six pheasants with nine shots. He shot 25 shots and got 14 prey. How many animals did everyone kill?

Detailed explanation of the application of chicken and rabbit in the same cage (four stages)

Chicken and Rabbit Cage Problem (1) Basic Level

1. Chickens and rabbits live in the same cage. Chickens and rabbits have 35 heads and 94 legs. How many chickens and rabbits are there?

Chicken and rabbit live in the same cage, with 20 heads and 62 feet. How many chickens and rabbits are there?

In a parking lot, 32 cars and motorcycles are parked. Among them, cars have four wheels and motorcycles have three wheels. These cars have 108 wheels. How many cars and motorcycles are there?

Xiaohua bought 34 commemorative stamps of 2 yuan and 5 yuan and spent money on 98 yuan. How many commemorative stamps of two yuan and five yuan did Qiu Xiaohua buy?

5. Forty-six people in the class went boating, and * * * took a 12 boat, including five people in each big boat and three people in each small boat. How many big boats and small boats are there?

Aunt Zhang keeps 200 chickens and rabbits, and the number of chickens and rabbits is ***560. How many chickens and rabbits are there?

7. Xiao just bought 80 stamps and 40 stamps *** 100, and * * * paid to 68 yuan. By the way, how many stamps did Xiaogang buy back? How much do you pay each other?

8. In a parking lot, 48 cars and motorcycles were parked, including 4 wheels for each car and 3 wheels for each motorcycle. These cars have 65,438+072 wheels. How many cars and motorcycles are there in the parking lot?

9. The PE teacher bought ***2 1 sportswear tops and pants, and * * * spent 439 yuan, including 19 yuan for the tops and pants. How many shirts and trousers did the teacher buy?

10. 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. How many days are it rainy these days?

1 1. Mother White Rabbit picks mushrooms, 24 mushrooms a day on sunny days and 6 mushrooms a day on rainy days1. It has picked 168 mushrooms for several days, averaging 2 1 mushroom per day. How many mushrooms were picked on a sunny day?

12. Wang Mai Jr. bought 20 movie tickets * * *. The average ticket price of the two kinds of movie tickets is 26 yuan, while the actual ticket price of the first movie ticket is 30 yuan and the actual ticket price of the second movie ticket is 20 yuan. How many tickets did you buy for each movie?

The problem of chickens and rabbits in the same cage (2) escalation

1. There are 15 chickens in the same cage, 132 chickens and rabbits have feet. How many chickens and rabbits are there?

Chicken and rabbit live in the same cage, 40 heads, 32 feet more than rabbit's feet. How many chickens and rabbits are there?

Chicken and rabbit live in the same cage. There are more chickens than rabbits 10, but chicken feet are 60 less than rabbits. How many chickens and rabbits are there?

Chickens and rabbits live in the same cage. Chicken 10, chicken feet 10. How many chickens and rabbits are there?

5. Aunt Zhang has more chickens than rabbits 13 and rabbits are less than chickens 16. How many chickens and rabbits are there?

6. Tongchi 12 cranes, 72 cranes and turtles have feet. How many cranes and turtles are there?

7. Chickens and rabbits have 1 10, but the feet of chickens are 20 less than those of rabbits. How many chickens and rabbits are there?

8. A chicken and a rabbit have 1 10 feet, but the number of chickens is 20 less than that of rabbits. How many chickens and rabbits are there?

9. Donghu Primary School held a math contest in the sixth grade, with 20 questions. If you answer a question correctly, you will get 5 points, but if you don't do a question or do a wrong question, you will get 3 points. If Liu Gang got 60 points, how many questions did he get right?

1. Two parallel lines will never intersect-()

2. A trapezoid can be divided into two identical parallelograms-().

3. Two trapezoids can be combined into a parallelogram-().

4. A parallelogram is also a quadrilateral-()

5. Two triangles with the same size can form a parallelogram-().

6. The parallelogram is easily deformed -() 1. Two parallel lines will never intersect-(√).

2. The trapezoid can be divided into two identical parallelograms -(X)

3. Two trapezoids can be combined into a parallelogram-(√).

4. A parallelogram is also a quadrilateral-(√)

5. Two triangles with the same size can form a parallelogram-(√).

6. Parallelogram is easy to deform-(×)

Reason:

1. Two parallel lines will never intersect.

-The parallels do not intersect.

2. A trapezoid can be divided into two identical parallelograms.

-A parallelogram can be divided into two identical trapezoids.

3. Two trapezoids can be combined into a parallelogram.

-Because a parallelogram can be divided into two trapezoids.

4. A parallelogram is also a quadrilateral.

-it has the characteristics of quadrilateral.

Two triangles of the same size can form a parallelogram.

-Two identical triangles also include the same size.

6. Parallelogram is easy to deform

-the expression is not clear. In a threesome, there must be a teacher.

1. Two parallel lines will never intersect-(√)

2. A trapezoid can be divided into two identical parallelograms-(×).

3. Two trapezoids can be combined into a parallelogram-(×).

4. A parallelogram is also a quadrilateral-(√)

5. Two triangles with the same size can form a parallelogram-(×).

6. Parallelogram is easy to deform-(√)

3. Two trapezoids can be combined into a parallelogram.

What kind of trapezoid? Any two, okay? You can't. Wrong.

Two triangles of the same size can form a parallelogram.

-What's the concept of size?

Same area? Same circumference? It should be exactly the same. So this is wrong.

6. Parallelogram is easy to deform

-Any parallelogram is easily deformed. This basic concept is in the original textbook. The ugly duckling can become a white swan because it is a swan.

UID250242 post 1 1406 essence 9 points 384422 reading rights 150 online time 352 1 hour registration time 2005-6-29, and finally login 201-/.

A trapezoid can be divided into two identical parallelograms -(X)

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Send text messages in personal space and add them as friends. The current offline 6# primary and secondary school was released in 2006- 12-9 2 1:49, depending on the author.

Reply to #4' s silly post.

Two trapezoids can be combined into a parallelogram.

What I hate most is this judgment. I don't know what to say.

Because: it is wrong that two trapezoids can be combined into a parallelogram.

Two identical trapezoids are also two trapezoids,

So: two identical trapezoids can be put together.

application problem

1. Plastic triangular ruler with a bottom of 20cm and a height half of the bottom. How many square centimeters is its area?

Analysis: the area of triangle = base (20)× height (20÷2)÷2.

Solution: 20× (20 ÷ 2) ÷ 2 = 100 (square centimeter)

Its area is 100 square centimeter.

2. Make a pennant with red paper. A piece of red paper is 3 meters long and 0.8 meters wide. How many faces can you make for flags with right angles of 0.3m and 0.2m respectively?

Analysis: When the width of red paper is a multiple of the right-angled side of the pennant, it can be directly calculated as "the area of paper-the area of the flag = the number of flags"; You can also find out how many rectangles the red paper can be divided into, the length and width of which are 0.3 meters and 0.2 meters respectively, and each rectangle can be divided into two triangles, thus calculating the number of flags.

Solution: 3× 0.8 ÷ (0.3× 0.2 ÷ 2) = 80 (surface)

You can make 80 such flags.

3. The areas of two triangular iron sheets are equal. It is known that the first bottom is 0.52m long and 0.38m high, and the second bottom is 1.6 times that of the first bottom. What is the height of the second block?

Analysis: triangle area = base × height ÷2. When the second triangle is "bottom× 1.6", the area should remain the same (equal to the first triangle) and the height must be divided by1.6.

Solution: 0.38 ÷ 1.6 = 0.2375 (m)

A: The height of the second block is 0.2375 meters.

4. Divide the rectangular ABCD (as shown in the figure) into three parts: A, B and C. It is known that the area of C is 30 square centimeters. What are the areas of A and B respectively?

Analysis: Given the area (30) and the base (8) of triangle C, the height, that is, the width of rectangle, can be obtained, and thus the area of rectangle A can be obtained.