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300 questions and answers about primary school mathematics knowledge
1. Among the following years, there are () leap years.

1994 1996 2000 2003 2008 20 10

①3 ②2 ③4

2. It takes 15 hours for Team A to complete a project alone, and 4 hours for Team B to complete the project alone. () High working efficiency.

① A Construction Team ② B Construction Team ③ Not sure.

3 In the figure below, the one with symmetry axis is (), and the one with the most symmetry axis is ().

① Square ② equilateral triangle ③ isosceles trapezoid ④ circle

4. Xiao Fang and Xiaojun go home from school at the same time after school, and Xiao Fang goes home once every minute.

Walk 60 meters, Xiaojun walks 70 meters per minute, and gets home at the same time in 5 minutes.

The distance from Xiao Fang's home to Xiaojun's home is listed as ().

①60+70 ②(60+70)×5 ③60×5 ④70×5

figure

3. Five students from two groups (1) donated books in charity activities held by the school, as shown in the following table:

By comparison, which group of students donated more books on average? (Keep one decimal place except infinite number)

4. Swallows fly for 2 hours 120km. At this speed, the swallow flew from A to B for five hours. How many kilometers is the distance from A to B? (According to the following requirements, solve in two different ways. )

(1) Think: According to the equivalence relation: () × () = ().

Solve by arithmetic:

(2) Think about it: According to "at this speed", that is to say, the car's () is certain, and the car's () is directly proportional to ().

1, a tank of water, used 1/2 and 5 barrels, with 30% left. How many barrels of water are there in this tank?

2. The length of a steel pipe is10m. Cut off 7/ 10 for the first time, and cut off the remaining 1/3 for the second time. How many meters are left?

3. After 2/3 of the expressway is completed, it is16.5km away from the midpoint. What is the total length of this highway?

4. The master and the apprentice made a batch of parts together, and the apprentice made 2/7 of the total, 2 1 less than the master. How many parts are there in this batch?

5. There is a batch of chemical fertilizers in the warehouse, and 2/5 of the total amount was taken out for the first time, and less than 1/3 of the total amount was taken out for the second time. At this time, there are 24 bags left in the warehouse. How many bags are taken out twice?

6. The distance between Party A and Party B is 1 152km. A bus and a truck leave from two places at the same time. Trucks run 72 kilometers per hour, 2/7 faster than buses. How many hours did it take for two cars to meet?

7. A coat is more expensive than a pair of trousers 160 yuan, in which the price of trousers is 3/5 of that of a coat. How much is a pair of trousers?

8. There are 60 black rabbits in the feeding group, and there are more white rabbits than black rabbits 1/5. How many white rabbits are there?

9. The school wants to dig an 80-meter-long sewer. 1/4 was dug on the first day, and 1/2 was dug on the second day. How many meters have you dug in two days? How many meters are left?

10. The circumference of a rectangle is 24 cm, and the length-width ratio is 2: 1. How many square centimeters is the area of this rectangle?

1 1. The sum of the sides of a cuboid is 96 cm, and the ratio of length, width and height is 3: 2:1. What is the volume of this cuboid?

12. The total length of a cuboid is 96 cm, the height is 4 cm, and the aspect ratio is 3 ∶2. What is the volume of this cuboid?

13. There are 42 computer interest groups in a school. The ratio of male to female is 4: 3. How many boys are there?

14. There are two baskets of fruits, and the first basket weighs 32kg. After taking out 20% from the second basket, the weight ratio of the two baskets of fruits is 4:3. How many kilograms were there in the original two baskets of fruit?

15. Make a 600g bean paste bun, and the ratio of flour, red beans and sugar is 3:2: 1. How many grams of flour, red beans and sugar do you need?

16, Xiao Ming reads story books. On the first day, he read 1/9 of the book, and the next day, he read 24 pages. The ratio of pages read in two days to remaining pages is 1: 4. How many pages are there in this book?

17, the ratio of the three internal angles of a triangle is 2:3:4. What are the degrees of these three internal angles?

18. The output value of a chemical fertilizer plant this year increased by 20% compared with last year, with an increase of 5 million yuan. What is the market value this year?

19. The fruit company stored a batch of apples. After selling 30% of the apples, we shipped 160 boxes, which was more than the original apples110. How many boxes of apples are there?

20. The original price of a commodity is 20% less than the current price, and the current price is 1028 yuan. What is the original price?

2 1. Interest earned from education savings is tax-free. Dad saved Xiao Xiao's education savings for three years, with an annual interest rate of 5.40%. Upon maturity, * * * received the principal and interest of 22,646 yuan. What is the principal of the education savings fund that Dad gave Xiao Xiaocun?

22. The clothing store bought two pieces of clothes at the same time, each of which earned 120 yuan, but one of them earned 20% and the other accompanied 20%. Did the two clothes sold by the clothing store make money or lose money?

23. The father is 43 years old and the daughter is 1 1 year old. A few years ago, my daughter was 20% older than my father.

24. 20% of less than 2/5 tons is () tons, and 30% of () tons is 60 tons.

25, a 200-page book, read 20%, and left () pages unread. 40% of the number A is equal to 50% of the number B. The number A is 120 and the number B is ().

26. A factory used 5,400 tons of water in the second half of April, saving 20% compared with the first half. How many tons of water were used in the first half of the year?

27. Zhang Ping has 500 yuan money and plans to deposit it in the bank for two years. There are two deposit methods. One is to save it for two years, with an annual interest rate of 2.43%. One is to save it for one year with an annual interest rate of 2.25%. When the first year expires, take out the principal and after-tax interest and deposit it for another year. Which method can I choose to get more after-tax interest?

28. Xiaoli's mother saved 5,000 yuan in the bank for a year, with an annual interest rate of 2.25%. When withdrawing money, the bank withheld and remitted 20% interest tax. How much interest tax was paid at maturity?

29, the flour yield of a wheat is 85%, to grind out 13.6 tons of flour, you need _ _ _ _ tons of such wheat.

30. There is a ring. The circumference of the inner circle is 3 1.4 cm, the circumference of the outer circle is 62.8 cm, and what is the width of the ring?

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Elementary school mathematics summer camp examination questions (sixth grade)

Author: Anonymous article Source: Reprinted hits: 308 Update time: 2009-12-919: 23: 02

1. A three-digit number divided by 9 plus 7, divided by 5 plus 2, divided by 4 plus 3. Such a three-digit * * has _ _ _ _ _.

I bought 83 Jin of oranges, apples, bananas and persimmons from 2 yuan, 3 yuan, 2 yuan and 4 yuan, and spent 228 yuan. As we all know, buying oranges is as expensive as buying apples, and buying persimmons is twice as expensive as buying bananas. Then oranges bought _ _ _ _ _ _ _ kilograms, and apples bought _ _ _ _ _ _ _ kilograms.

3. According to the provisions of the tax law, if the income from one-time labor service is less than that of 800 yuan, it shall be exempted from income tax. If you exceed 800 yuan, you have to pay income tax. Specific standards are: 800 ~ 2000 is 10%, 2000 ~ 5000 yuan is 15%, and 5000 ~ 10000 yuan is 20%. The tax amount of a person's income from a labor service is 1300 yuan, and his after-tax net income from the labor service is _ _ _ _ _ _ _.

Octal addition is to convert each octal into one, for example, 13+6 = 2 1, 77+4 = 103. In the following octal addition vertical formula, the six numbers A, B, C, D, E and F are just composed of the six numbers 1, 2, 3, 4, 5 and 6, so there is an _ _ _ _ _ _ * addition formula that meets the conditions in the question.

5. The regular hexagon in the figure below consists of 24 small equilateral triangles with the side length of 1. There are _ _ _ _ _ _ * triangles with edges other than 1 among the triangles whose vertices are grid points and whose areas are the same as the shaded parts.

6. 1 By 2000, the maximum number of _ _ _ _ _ can be taken out, so that the sum of any three of these numbers cannot be divisible by 7.

7. The six rectangles with an area of 1, 2, 3, 4, 5 and 6 are arranged as shown below, and the shaded area is _ _ _ _ _.

8. The cost of a commodity is 80 yuan per piece. If you sell them at 100 yuan each, you can sell them at 1000 yuan. When the price of this commodity increases by 1 yuan, the sales volume will decrease by 20. In order to make the biggest profit, the price should be set at RMB _ _ _ _ _ _.

9. A bug climbs from A to B. If its speed increases by 1 meter per minute, it can arrive 15 minutes earlier. If its speed is increased by 2 meters per minute, it can arrive 15 minutes earlier. The distance between a and b is _ _ _ _ _ meters.

10. The alcohol concentration in bottle A is 70%, the alcohol concentration in bottle B is 60%, and the alcohol concentration after mixing the two bottles is 66%. If two bottles of alcohol are mixed with 5 liters each, the concentration after mixing is 66.25%. Q: It turns out that bottles A and B have _ _ _ _ _ liters and _ _ _ _ _ liters respectively.

1 1. Use the nine numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 to form the smallest nine digits divisible by 1 1. This nine-digit number is _ _ _ _ _ _ _.

12. Arrange the 625 natural numbers of 1 ~ 625 clockwise into a circle. Clockwise from 1 erase 1, keep 2, then erase 3, 4, keep 5, erase 6, keep 7, and then erase 8, 9, keep 10 ... so erase one number, keep one number, erase two numbers and keep one number; Erase one more number, keep the next number, erase two numbers, keep one number ... all the time, and the last number left is _ _ _ _ _ _ _.

fill (up) a vacancy

1, 250m is ()% of 500m. 12 is ()% of 36.

2, 43% of the decimal unit is (), plus () this unit is the smallest prime number.

3. 1/4 tons is more than 1/5 tons ()%, 1/5 tons is less than 1/4 tons ()%.

4. The actual output is 12% higher than the planned output, which is actually ()% of the planned output.

5. () meter is 25% more than 200m, and 200m is 20% less than () meter.

6.7/8 = ()% = (): 24 = 35 ÷ () = () (fill in decimal places)

7. Interest = ().

8. () and () are called interest rates.

9. 20% of Party A is equal to 1/3 of Party B, (Party A and Party B ≠0), and Party A () and Party B are ()% of Party A..

10, in 0.3, 1/3, 30% and 0.03, the maximum number is () and the minimum number is ().

() and () are equal.

1 1, A is 1.2 times of B, A is ()% of B, and B is less than A ()%.

12, a 400-page book, read 25% on the first day, and start reading from page () the next day.

13, a is 60% more than b, and b is ()% less than a.

14, a canal, was repaired by 20% first, then the remaining 25%, and ()% of the whole length was repaired.

Ropes with lengths of 1.5 and 5m can be cut into sections with lengths of1/2m or () sections, each of which accounts for ()% of the total length.

16, a rope, used 4 meters, just accounting for 10% of the total length, the total length is () meters, and there are () meters left.

17, A is 50 10%, B 10% is 50, and the sum of Party A and Party B ().

18. If Party A gives 20% of the stored grain to Party B, the two warehouses will be equal. The original ratio of Party A to Party B was ().

19, 50% of A is less than 40% of B. 6, A is 24, and B is ().

20.5 1 class, 3 people were sick, and 1 class asked for personnel leave, and the attendance rate was 92%. There are () people in the class.

2 1. Divide the 5m-long rope into 8 segments on average, each segment is () meters long, and each segment accounts for ()% of the total length.

Second, judgment.

1, 100 pieces of a batch of products are qualified, 5 pieces are unqualified, and the unqualified rate is 5%. ( )

2.A is 20% more than B, and B is 20% less than A. ()

3. 100m is reduced by 20% first and then increased by 20%, and the result is less than the original. ( )

4. Fractions with denominator of 100 are percentages. ( )

5. If the percent sign is removed from the percentage, the original number will be expanded to 100 times. ( )

6. Peanut oil yield is 100%. ( )

7. Xiaohong's time from home to school is 8 minutes shorter than the original 10 minute, and the speed is increased by 25%.

8.100g of water contains 20g of salt, and the salt content of salt water is 20%. ( )

9. The actual investment is 240,000 yuan, saving 60,000 yuan and saving 25%. ( )

10, A is 25% more than B, and B is 20% less than A ... ()

Four, column calculation:

A is 40, and B is 25% more than A. What's B? A is 40, 25% more than C. What's C?

40% of a number is more than 25% 18. What's this number?

70% of a number is exactly 50% of 140. What's this number?

1, actually burned 400 kilograms of coal in April, and planned to burn 500 kilograms of coal. How much did you actually save?

In February and September, the output value was 6,543,800 yuan+600,000 yuan, 400,000 yuan less than planned. What percentage was saved?

3. After subtracting 6 yuan from a calculator, its price is 24 yuan. What percentage is the subtraction?

There are 92 students in Luz Primary School today, of whom 5 are on sick leave and 3 are on personal leave.

5. A total of 400 seedlings were planted with a survival rate of 95%. How many trees died?

6. Xiaohong's father saved 2000 yuan for Xiaohong's education for three years at an annual interest rate of 3.24%. After the expiration of the period, the certificate of non-compulsory education can be exempted from interest tax. How much principal and interest can he get at maturity?

7. Teacher Wang's monthly salary is 2500 yuan, and personal income tax is levied at 5% for the part exceeding 2000 yuan. How much does Mr. Wang earn a year?

8. Xiaohong's mother deposited 4000 yuan in the bank for three years, with an interest rate of 2.5%. How much can she withdraw after the expiration? (Pay tax at the interest rate of 5%)

9. A batch of parts were produced, and the qualified rate was 94%. There are 120 unqualified parts. How many parts have you produced?

10, a commodity is now sold in 800 yuan, which is 20% cheaper than before. How much cheaper than before?

1 1, 70% of the total length of a road has been repaired, leaving 12km. How long is this road?

12. A canal was built for 4 days, with an average of 35 kilometers per day. The restored canal is 30% longer than the rest. How many kilometers are left?

13, a story book, 25% read equals 30% unread, and 150 pages unread. How many pages are there in this book?

14. There are 240 male employees in a factory, and 40 female employees are more than 80% of male employees. How many employees are there in the whole factory?

Fill in the blanks. 20%

1, a number, consisting of 80000500 and 3 1, this number is (), 5600443 rounded to ten thousand is () ten thousand.

Add 8 to the numerator of 2.444/ 1 1, and increase the denominator () to keep the size of the fraction unchanged; If you multiply its denominator by 2, the original score is ().

3. The decimal unit of 222/5 is (), and the decimal unit such as () is the smallest composite number.

4. Two digits are prime numbers, and the numbers on each digit are also prime numbers. The difference between them is neither prime number nor composite number. This number is ().

The radius of a circular garden is 3 meters, and then it is expanded to 9 meters, and the area of this circular garden is increased by () square meters.

6. If the six digits B2B2B9B 1 are divisible by 3, then there are () digits B that can be filled. If BBB2B9B 1 is divisible by 9, b should be ().

7. On the map with the scale of 1: 250000, the distance between A and B is120cm; Then on the map of 1: 7500000, the distance between A and B is () cm.

8. There is a score. If the molecule is subtracted by 1, the fractional value is11/2; If you add 1 to the molecule, the fractional value is 12 1. The original score was ()

9. There are three natural numbers, the ratio of A to B is 3∶5, the ratio of C to the sum of A and B is 1∶4, the sum of the three numbers is 250, and A is ().

10, the radius of the big circle is twice that of the small circle, the area of the big circle is larger than that of the small circle 12 square centimeter, and the area of the small circle is ().

Second, choose the serial number of the correct answer and fill it in brackets. 16%

1, rectangle, square and circle have equal perimeters, and the largest area is ().

A. rectangle B. square C. circle D. indefinite

2. Choose two numbers from 2, 3, 6 and 7 to form a pair of prime numbers, and one * * * has () pairs.

Answer. 2 B .3 degrees Celsius. Four dimensions. Five.

3. It is known that m is a true fraction and n is 1. Among the four formulas A to D, the formula with an answer greater than n is ().

A.n. Attention. M× N C. Doctor of Medicine. Noun-noun

4. The ratio of the three internal angles of a triangle is 2: 3: 4. This triangle must be ().

A. right triangle B. acute triangle C. oblique triangle D.

5, the area of the circle is certain, and the radius and radius of the circle ().

A. Be in direct proportion to ... Be out of proportion to be in inverse proportion to ...

6. A+0.5 = B-0.5 = C × 0.5 = D ÷ 0.5 =1.5, and the larger number among A, B, C and D is ().

A.A.B. 200 BC. C.D.D.

7. Put10g of medicinal powder into100kg of water, and the ratio of medicinal powder to liquid medicine is ().

1∶ 10 . 1: 9 C . 1: 1 1 D . 1: 1000 1

4. Graphic calculation: 6%

Two right-angled triangles with right-angled sides of 6 cm and 8 cm, respectively, are rotated around one of the right-angled sides to get a geometry. How many cubic centimeters does this geometry occupy?

Fourth, the application problem. 35%

1. In order to meet the city sports meeting, it is necessary to lay a lawn of 1800 square meters around the stadium, which will be completed in the first five days 1/4. According to this calculation, how many days will it take to pave it all?

2. In order to welcome the International Children's Day on June 1st, the toy factory planned to produce 12000 pieces in May and 10000 pieces in the first half of the month, which was 5% more than the whole month. How many toys will be produced in the second half of the month?

3. The number of absenteeism in a workshop accounted for110 of the total number, and then two people took time off to work. At this time, the number of absenteeism accounts for 1/8 of the total number. How many people are there in the whole workshop?

4. The ratio of the area of triangle (shaded part) to the area of square in the figure is 4: 9. The side length of a square is 6 cm. What is the length of the alternating side of a triangle?

5. In Yucai Middle School, there are 35 more boys than girls taking part in the math competition in senior high school, all the girls passed, two thirds of the boys passed, and 45 boys and 45 girls passed. How many boys are taking part in the math contest?

6. It takes 13 days for Party A, Party B and Party C to cooperate to complete a project ... Party C takes two days off, and Party B does four more days, or both parties cooperate to do more 1 day. How many days does it take for this project to be completed by A alone?

7. The radius and height of the cone bottom are equal to the side length of the cube. The volume of a cube is 120 cm2. What is the volume of this cone in cubic centimeters?