Category name

I. Fill in the blanks:

1, calculation: 0.5×12.5× 2.5×128 = ().

2. Calculation: 555 ÷ 32+82 1 ÷ 32 = ().

3. The school bought five pairs of table tennis rackets and eight pairs of badminton rackets, which cost 2 10 yuan, of which the unit price of badminton rackets is twice that of table tennis rackets, and the unit price of table tennis rackets is (); The unit price of badminton racket is ().

4. For 8 baskets of apples with the same weight, if each basket takes 25 kilograms, the weight of the remaining apples is equal to the original 3 baskets of apples, and the weight of each basket of apples is () kilograms.

5. Xiao Zhang has 34 2-cent and 5-cent coins with a total value of 1. 1 yuan, and there are () 2-cent coins; There are () nickels.

When my grandfather was my father's age, my father was only 12 years old. Grandpa will be 84 years old by the time his father is now. Grandpa is now () years old; Father is () years old now.

Xiao Ming and Xiao Hong spent the same amount of money on exercise books together. As a result, Xiaoming got 8 copies and Xiaohong got 12 copies. In this way, Xiaohong gave Xiaoming 1. 1 yuan. The unit price of each exercise book is () yuan.

8. The sum of 3 times of one prime number and 2 times of another prime number is equal to 200, and the sum of these two prime numbers is ().

9. There are 48 pieces of sugar. If you want to divide it into 4 pieces, each piece has 2 pieces more than one piece, then the least piece has () pieces; The most one has () blocks.

10. It is known that the sum of three consecutive even numbers is 2 times larger than the largest even number. These three even numbers are,,, respectively.

1 1. On physical education class, boys line up and count off on one or two. There are 25 boys in this row, the 10 student signed up (), and the last student signed up (). Among them, * * * has () students to "one" and * * * has () students to "two".

12, March 12006 was Wednesday, so I went to class in March and had a rest for () days.

13. There are more than three yellow flowers between every two safflower, so the 4th1flower from left to right is () flower, including () safflower and () yellow flower.

14, 45 trees were planted along the river bank. These trees are planted according to the rule of 1 willow and 3 peach trees. On one side of the river bank, () willows and () peach trees were planted.

15, there is a natural number, divided by 2+ 1, divided by 3+2, divided by 4+3, divided by 5+4, divided by 6+5, then the minimum number is.

The number of digits in the sum of11.8+88+888+…+88 … 8 is _ _ _ _ _ _ _.

12. If the sum of four consecutive odd numbers is 2008, the smallest odd number is _ _ _ _ _ _ _.

13. In order to get good grades in the "Hope Cup" math competition, Xiaohua made four training questions by herself (the full score of each training question is 120). He got 90 points for the first training question and 100 for the second training question, so the third training question needs at least points to make the average score of the four training questions reach 105.

14. There is a formula: the product of three different natural numbers is 100. There are _ _ _ _ _ _ kinds of such formulas. (The calculation of the exchange factor position is the same. ) They are.

17. Nine fifth-grade students from a primary school entered the finals of the "Hope Cup" math competition. It is known that the average score of the top three in the preliminary round is 3 points higher than that of the top six, and the average score of the last six is 3 points higher than that of the last three. Then the total score of the top three students is _ _ _ _ _ _ points more than that of the last three students.

18. The sum of digits of natural numbers is 15. If their digits are different, the maximum number that meets the conditions is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

19. One key can only open one lock. There are four locks now, but I don't know which key to open which lock. How many times can I try at most to match all the keys and locks?

20. There are three red balls, five yellow balls and seven blue balls in the wooden box. If you touch it blindfolded, take out at least one ball to ensure that the two balls are the same color.

Second, the graphic understanding and operation:

Please draw regular pentagons, regular hexagons and regular octagons according to what you have learned. Excuse me, can these numbers be densely spread on the ground? Explain why.

There is a triangle in the picture on the right.

3. As shown in the figure, the sides of two squares are 5cm and 4cm respectively, and the shaded part in the figure is the overlapping part. How many square centimeters is the area difference between two square blank parts?

Please draw a shadow in the triangle below, so that the shadow part occupies the triangle area. How many kinds of paintings can you have?

5. In the picture on the right, it is known that the area of square ABCD is 4 times that of square EFGH, and the circumference of square Amen is 4 cm, so the circumference of square ABCD _ _ _ _ _ _ _ _ _ cm.

6. In the number array on the right, if you count from top to bottom and from left to right, you can know that the number of 1 is 1, the third number is 2, the sixth number is 3, …… then the 99th number is _ _ _ _ _ _ _ _.

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7. As shown in the figure, this is a 4×8 rectangular grid, and each cell is square. How many rectangles are there in (1)? (2) How many squares contain at least one ★?

8. The picture below shows a 9 cm ruler. Please mark three tick marks in the picture below, so that this ruler can measure the length of any whole centimeter from 1 to 9 cm at a time.

Third, application.

1. A plane from A to B, originally planned to fly 9 kilometers per minute, now flies at the speed of 12 kilometers per minute, and the result is half an hour ahead of schedule. How many kilometers is it between A and B?

There are some apples and pears. There are twice as many apples as pears. If you eat 2 pears and 6 apples every day, there are still 20 apples missing after eating the pears. How many pears are there?

3. A car carries 50 passengers, some buy A-type tickets, each 0.8 yuan, and some buy B-type tickets, each 0.3 yuan. Finally, statistics show that the income from selling tickets A is more than that from selling tickets B 18 yuan ... How many people buy first-class tickets?

4. In a math exam, the average score of a class is 9 1, 89 for boys and 92.5 for girls. There are 24 girls in this class. How many boys are there?

The road team originally planned to build 720 meters of roads every day, but actually it built 80 meters more than originally planned. In this way, when there is1160m left, the time spent is 3 days less than the time needed to complete the whole road repair task. What is the total length of this road?

6. The full score of a math contest is 100. The average score of the top six in a class is 95.5, and the average score of the sixth is 89. Each student's score is a different integer, so how many points does the third student get at least?

7. The bucket is full of water, with three bamboo poles A, B and C inserted in the water, and the parts exposed to the water are the total length in turn. The total length of the three bamboo poles is 98 cm. How many centimeters is the water depth?

8. Wang, a professional pig farmer, said, "If you sell 75 pigs, the feed can last for 20 days. If you buy 100 pigs, the feed can only last 15 days. " Q: How many pigs does Uncle Wang have?

9. There is a mountain road between A and B, which is 60 kilometers apart. Some are uphill, others are downhill. Someone rode an electric car from place A to place B, and then returned along the original road. I walked for 4.5 hours and came back for 3.5 hours. It is known that the downhill speed is 20 kilometers per hour, so how many kilometers per hour is uphill?

10. Aunt Zhang gave the same number of apples and oranges to several children, and each child got 1 apple and 3 oranges. Finally, the oranges were finished, leaving 12 apples. So how many children were given a * * *?

1 1. One day, Xiaohui and Teacher Liu had a heart-to-heart talk. Xiaohui asked, "Teacher, how old are you this year?" Teacher Liu replied: "Guess, when I was your age, you were only 1 year old;" When you reach my age, I will be 34 years old. "How old is Miss Liu this year?

12. Five judges scored a gymnast, excluding a highest score and a lowest score, with an average score of 9.38. If one of the highest scores is removed, the average score is 9.26; If the lowest score is removed, the average score is 9.46. What are the highest and lowest scores of this gymnast?

13. The school choir is all students of Class A, Class B and Class C, including 60 students of Class A and Class B, 0/00 students of non-Class A and 90 students of non-Class B in the choir. Q:

(1) How many students are there in Class A and Class B in the choir?

(2) How many students are there in the choir?

14. Today is Thursday. Mom will have a wedding reception in 49 days. Do you know what day it is today? Mother has a rest on Saturday and Sunday. Will she ask for leave that day?