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Big brother and big sister help me find some small math problems in primary school.
Preliminary contest of the second "Spring Cup" primary school mathematics competition in Beijing

Questions and answers

1. There are three natural numbers. When they are added or multiplied, they all get the same result. The largest of these three numbers is _ _ _ _.

The sum of four people's ages is 77 years old. The youngest 10 years old, he and the oldest are 7 years older than the other two, and the oldest is _ _ _ _ _.

3. Add the minuend, subtraction and difference to get 40, and the minuend is _ _ _ _ _.

4. There is a building with floors 17, and there are steps 17 between two adjacent floors. When someone walks from the first floor to the eleventh floor, they need to climb _ _ _ _ steps.

5. There are 65,438+000 passengers, of whom 65,438+00 know neither English nor Russian, 75 know English, 83 know Russian, and _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

6. There is a triangular plot with three sides of 120m, 150m and 80m respectively. Plant a tree every 10m, and plant _ _ _ _ _ _ trees on three sides.

7. Among all the integers from 40 1 to 1000, there are _ _ _ numbers that are the remainder of 1 divided by 8.

8. The difference, sum and quotient obtained by subtracting, adding and dividing a natural number from itself add up to exactly 10 1, and this natural number is _ _ _ _.

Class 9.43' s class exercises are arranged in three rows with equal numbers, with Xiao Ming in the middle row and the eighth from the back. There are _ _ _ _ students in the class.

10. Write the number 5 to the left of a three-digit number, and then add 400 to the four-digit number. At this time, their sum is 55 times of this three-digit number, and this three-digit number is _ _ _ _.

1 1. Find the _ _ _ whose blank area is square in Figure 43. (score)

12. There are large, medium and small baskets of apples. The small basket contains half of the middle basket, the middle basket contains less 16 Jin than the big basket, and the big basket contains four times as many apples. There are apples _ _ _ _ Jin in large, medium and small baskets.

The sum of 13.A and B is 1986, and the maximum sum of the first and last digits of the product of these two numbers is _ _ _ _ _.

14. If you cut a piece of white paper into a square with a side length of 4 cm, it will be exactly cut into 20 pieces. If the cutting area is a right triangle of 4 square centimeters, you can cut _ _ _ _ pieces.

15. When two numbers are divided by quotient 8, the remainder is 16. The sum of dividend, divisor, quotient and remainder is 463, and the dividend is _ _ _ _.

16.0978 Gregorian calendar 65438+ 1 is a Sunday, and 2000 Gregorian calendar 65438+ 1 is a week _ _ _ _.

17.568 is followed by three numbers to form a six-digit number, which can be divisible by 3, 4 and 5 respectively. The smaller the number, the better. This six-digit number is _ _ _ _.

18. There are _ _ _ _ squares in the number diagram 44.

19. The multiplier is 9, the product is 720 more than the multiplicand, and the multiplicand is _ _ _ _ _.

20. There are two baskets of apples in A and B. The number of apples in A basket is more than that in B basket 19 kg. Taking out _ _ _ _ _ kg from A basket and putting it in B basket can make the number of apples in B basket more than 3 kg. ..

2 1. A primary school held a math contest, *** 15. Every time he does a problem correctly, he gets 8 points. Every time he made a wrong question, he got 4 points and Xiao Ming got 72 points. He did a correct problem.

22. A car was full of people when it left the station, and it was halfway.

There are _ _ _ _ passengers in the car.

23. Xiaoming climbs the mountain on the Double Ninth Festival and starts climbing at 9: 00 in the morning. Go up the mountain 6 miles per hour, rest at the top of the mountain 1.5 hours and start going down the mountain, and walk 7.5 miles per hour. It's already 1: 30 in the afternoon at the foot of the mountain, and Xiao Ming goes up and down the mountain _ _ _ _.

24. The triangle ABC in Figure 45 is a right triangle. The area of the shadow (1) is 23 square meters smaller than that of the shadow (2), and the length of BC is _ _ _ _ _ _ meters (take π as 3).

25. There are two barrels of oil, A and B. If 15kg is poured from barrel A to barrel B, the weight of the two barrels of oil is equal; If 48kg is poured from barrel B into barrel A, the weight of barrel A oil is four times that of barrel B oil. A barrel of crude oil _ _ _ _ Jin.

26. There are 96 apples in the basket. If you don't take it out right away, you won't take it out one by one. It is required to take out the same number every time, and when it is used up, it is neither more nor less. * * * There are _ _ _ kinds of grips.

27. Fill in the figures according to the law:

2 6 18 54 ( ) 486 1458

1 4 9 16 ( ) 36 49

Please find out that the sum of the numbers in two brackets is equal to _ _ _ _.

The sum of these five even numbers is _ _ _ _.

29. There are three steel pipes, of which the length of the first one is 1.2 times that of the second one and half that of the third one, and the third one is 280 cm longer than the second one. Now, cut these three steel pipes into equal sections as long as possible, and * * * cut them into such short sections.

3 1. The sixth-grade students travel to a certain place by bus, buy 99 tickets and spend * * * 28 yuan. One-way ticket to 0.2 yuan, round-trip ticket to 0.4 yuan, the difference between one-way ticket and round-trip ticket is _ _ _ _.

Learning contest. "The rest of the boys and girls are exactly the same. There are _ _ _ _ girls in this school.

33. Connect the midpoints of the sides of a triangle with right angles of 16cm and 12cm into a triangle, and then connect the midpoints of the sides of this triangle into a triangle. Find _ _ _ _ of the smallest triangle area is the largest triangle area. (score)

34. Party A has 128 copies and Party B has 160 copies. The number of books in A is C.

35. There is a four-digit number, and the numbers on thousands and hundreds have been erased. I know that the number in the tenth place is 1 and the number in the second place is 2. I also know that subtracting 7 from this number can be divisible by 7, subtracting 8 can be divisible by 8 and subtracting 9 can be divisible by 9. This four-digit number is _ _ _ _.

36. The sum of two numbers is equal to 462, and the last digit of a number is 0. If you remove 0, it is the same as the second number. The larger of these two numbers is _ _ _ _ _.

37. Dongxiang planted 450 trees last spring, with a survival rate of 80%, and planted trees last autumn with a survival rate of 90%. It is understood that 18 trees died last spring than in autumn, and this town planted _ _ _ _ _ _ trees last year.

38. A sporting goods store bought 100 football and 80 basketballs from the wholesale department, which cost 2800 yuan. When retailing in stores, the price of each football increases by 5% and the price of each basketball increases by 65,438+00%, so the income of * * * after all sales is 3020 yuan, which was originally * * * _ _ yuan for a football and a basketball.

39. Brother and sister are playing by a circular pool with a circumference of 30 meters. They walked around the pool with their backs to the same place at the same time. Brother walks 1.3 meters per second, and sister walks 1.2 meters per second. When they meet for the tenth time, my sister still needs to walk _ _ _ _ meters to get back to the starting point.

40. Find the area of the shaded part in Figure 46 as _ _ _ square centimeter (take π as 3).

4 1. Party A, Party B, Party C and Party D made a total of 370 parts. If the number of parts manufactured by Party A increases by 10, the number of parts manufactured by Party B decreases by 20, the number of parts manufactured by Party C is multiplied by 2, and the number of parts manufactured by Party D is divided by 2, then the number of parts manufactured by four people is exactly equal. Then B actually made _ _ _ _ parts.

42. A school sent 360 students to summer camp, and it was found that 40% of them were boys. In order to make boys account for 50%, a group of boys were sent abroad, with _ _ _ _ _ _ boys.

43. Someone was walking on the highway when a car came. He asked the driver, "Is there a bike behind?" The driver replied, "I passed a bike ten minutes ago." The man walked on for ten minutes. When he met a bicycle, it was known that the speed of a bicycle was three times that of a human being, and the speed of a car was _ _ _ _ _ times that of a human being.

44. Starting from the clock pointing to 4 o'clock, after _ _ _ _ minutes, the hour hand coincides with the minute hand.

45. At present, there are 64 ping-pong balls and 8 ping-pong boxes/kloc-0. Each box can hold up to 6 ping-pong balls, and at least several ping-pong boxes have the same number of ping-pong balls.

Save 120 copies. There are _ _ _ _ _ books on the second shelf.

47. If the fish's tail weighs 4 kilograms, the weight of the fish's head is equal to the weight of the fish's tail plus half the weight of the fish's body, and the weight of the fish's body is equal to the weight of the fish's head plus the fish's tail, then the fish weighs _ _ _ _ _ _ kilograms.

48. An encyclopedia needs 6869 pages, so this book has _ _ _ _ _ pages.

49. Four brothers went to buy a TV set together, and the money brought by the boss was the sum of the money brought by the other three people.

50. A passenger fell asleep on the way. When he wakes up, he will continue to walk half the distance he walked when he was asleep, and ask him if the distance he walked when he was asleep was the whole _ _ _ _ _. (score)