Who has competition questions for the Hope Cup?

Excerpts from the 17th "Hope Cup" National Mathematics Invitational Competition 2006-07-26 15:36 The first test of the first grade of junior high school

Sunday, March 19, 2006 8:30 am to 10:00

School name: Class exam number, name of tutor, score

1. Multiple choice questions

1. On the number axis, the number corresponding to point A is -2006, the number corresponding to point B is +17, then the distance between points A and B is ( )

2. There are the following four propositions: ① There is at least one positive integer between two fractions with opposite signs; ② There is at least one negative integer between two fractions with opposite signs; ③ Between two fractions with opposite signs There is at least one integer; ④ There is at least one rational number between two fractions with opposite signs.

The number of true propositions is ( )

(A) 1 (B) 2 (C) 3 (D) 4

3. Figure 1 It is a fan chart showing the participation of middle school students in extracurricular activities. Among them, students participating in mathematics interest groups account for ( ) of the number of students participating in extracurricular activities

(A) 12% (B) 22% (C) 32 % (D)20%

5. Among the traffic signs in Figure 2, the axially symmetrical figures are ( )

(A) 4 (B) 3 (C) 2 (D) 1

6. For numbers, the symbol [ ] represents the largest integer not greater than. For example, [3.14]=3, [-7.59]=-8, then the integer values ??that satisfy the relationship [ ]=4 are ( )

(A) 6 (B) 5 (C) 4 (D) 3

8. The positive integer solution of the equation is ( )

(A) 10 groups (B) 12 groups (C) 15 groups (D) 16 Group

9. As shown in Figure 4, ABCD and BEFG are two squares placed side by side. O is the intersection point of BF and EG. If the area of ??square ABCD is 9 square centimeters, centimeters, then the area of ??triangle DEO is ( )

(A) 6.25 square centimeters (B) 5.75 square centimeters (C) 4.50 square centimeters (D) 3.75 square centimeters Centimeters

10. There are the following four descriptions: ① When , ; ② When , ; ③ When , ; ④ When , . The correct description is ( )

(A)①③ (B)②④ (C)①④ (D)②③

2. Group A fill-in-the-blank questions.

11. The speed of the Shenzhou-6 spacecraft is 7.8 kilometers/second. It took 3 minutes for astronaut Fei Junlong to perform 4 "forward rolls" in the cabin. Then when Fei Junlong "flips" After completing a somersault, the spacecraft flew ( ) kilometers.

13. Figure 5 shows the profit and total assets statistics table of a factory from 2003 to 2005. It can be seen from the figure that the year with the highest asset profit rate is .

16.Assume that the reciprocal of is , then the value of the value of is ( ) .

(English-Chinese dictionary: to assume hypothesis; reciprocal reciprocal; value equation)

18.If is a solution of the equation ,

then ( ) .(English-Chinese dictionary: solution solution; equation equation)

20. As shown in Figure 7 , the circumference of the circle is 4 units in length, and the numbers 0, 1, 2, and 3 are marked at the 4 equal points of the circle.

First, let the point corresponding to the number 0 on the circle coincide with the point corresponding to the number -1 on the number axis, and then let the number axis go around the circle in a counterclockwise direction. Then the number -2006 on the number axis will be the same as the number on the circumference ( ) overlap.

3. Group B fill-in-the-blank questions.

21. Paint the surface of a cube of wood, and then saw it into 27 small cubes of the same size. Among these small cubes, there are n pieces that are not painted, and there are n pieces that have at least two sides painted.

22. As shown in Figure 8, in triangle ABC, cm, BC=6 cm. Construct squares AEDC and BCFG with AC and BC as sides respectively, then the area of ??triangle BEF is square centimeters and the area of ??hexagon AEDFGB is square centimeters.

23. The areas of the world's top ten deserts are shown in the table below: (area unit: 10,000 square kilometers)

Name area

Sahara Desert 860

Arabian Desert 233

Libyan Desert 169

Australian Desert 155

Gobi Desert 104

Patagonian Desert 67

Rub Al Khali Desert 65

Kalahari Desert 52

Great Sand Desert 41

Taklimakan Desert 32

The total area of ??the top ten deserts is ( ) million square kilometers.

It is known that the earth’s land area is 149 million square kilometers, accounting for 29.2% of the earth’s surface area. The total area of ??the top ten deserts accounts for ( )% of the earth’s surface area (retain three significant figures).

24. When A walks from A to B for 5.5 minutes, B walks from B to A, walking 30 meters more per minute than A. They met at point C on the way. It takes A 4 minutes longer to get from A to C than it takes to get from C to B, and it takes 3 minutes longer for B to get from C to A than from B to C. Then A takes ( ) minutes to get from A to C. The distance is ( ) meters.

25. Write the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 in any order in a row, where the three adjacent numbers form a three-digit number, ** *There are seven three-digit numbers. If you sum these seven three-digit numbers, each arrangement of the numbers 1 to 9 corresponds to a sum (for example, write the numbers 1 to 9 as 1, 3, 4, 2, 7, 5 , 8, 9, 6, can form seven three-digit numbers 134, 342, 427, 275, 758, 589, 896, and their sum is 3421). Among the obtained sums, the largest number is , and the smallest number is ( ).

Junior Grade 1 Mathematics Hope Cup Competition Practice Paper

Class___________ Name__________

1. Multiple choice questions:

1. Already We know that the three points A, B, and C on the number axis represent rational numbers, 1, and -1 respectively, then it means ( )

(A) The distance between the two points A and B (B) The distance between the two points A and C

(C) The sum of the distances from two points A and B to the origin (D) The sum of the distances from two points A and C to the origin

2. Mr. Wang is at the market He first bought back 5 sheep at an average price of RMB 1,000 per head, and later bought back 3 sheep at an average price of RMB 1.00 per head. Later, he sold all the sheep at the price of each, and found that he lost money. The reason for the loss was ( )

(A) (B) (C) (D) has nothing to do with the size of

3. The sum of two positive numbers is 60, and their least common multiple is 273 , then their product is ( )

(A) 273 (B) 819 (C) 1199 (D) 1911

4. There are 48 students in a certain class during the spring outing. Go boating on the West Lake in Hangzhou. Each small boat can seat 3 people, and the rent is 16 yuan. Each large boat can seat 5 people, and the rent is 24 yuan. The class will cost at least ( ) to rent.

(A) 188 yuan (B) 192 yuan (C) 232 yuan (D) 240 yuan

5. It is known that the perimeter of a triangle is, if one side is twice the other side, then the smallest side of the triangle is The range is ( )

(A) and between (B) and between (C) and between (D) and between

6. Two identical bottles Fill the bottle with alcohol solution. The ratio of the volumes of alcohol and water in one bottle is: 1. The ratio of the volumes of alcohol and water in the other bottle is: 1. Mix the two bottles of solution together. The ratio of the volumes of alcohol and water in the mixed solution is The ratio is ( )

(A) (B)

2. Fill in the blanks:

7 , it is known that, , , and >> , then = ;

8. Assume a polynomial, it is known that when = 0, ; then, , ,

Then, then, = ;

9. Arrange the positive and even numbers into 5 columns according to the table:

Column 1 Column 2 Column 3 Column 4 Column 5

First row 2 4 6 8

The second row 16 14 12 10

The third row 18 20 22 24

The fourth row 32 30 28 26

... ... ... ... ... ...

According to the rules in the table, the even number 2004 should be in the first row and the first column;

10. A and B start from 400 meters On the circular runway, point A starts at the same time with their backs facing each other. Eight minutes later, the two people meet for the fifth time. It is known that A walks 0.1 meters more than B per second. Then, the place where the two people meet for the fifth time is the same as point A on the runway. The shortest distance is __________ meters;

11. Someone asked Teacher Li: "How many students are there in your class?" ", Teacher Li said: "Half of the students in my class are currently participating in math competitions, a quarter of the students are participating in music interest groups, one-seventh of the students are in the reading room, and there are still three female classmates watching TV." . Then the number of students in Teacher Li’s class is;

12. As shown in the figure, B, C, and D are the three points on the line segment AE. It is known that AE=8.9cm and BD=3cm, then in the figure The sum of the lengths of all line segments with the five points A, B, C, D and E as endpoints is equal to.

13. A certain clothing dealer first purchased three pieces of clothing for 160 yuan. He bought a batch of children's clothing and purchased twice as much children's clothing as the last time at a price of 210 yuan per 4 pieces. He wants to sell all these two batches of children's clothing and make a profit of 20, so he needs to pay ______ for every 3 pieces. Yuan takes action.

14. It is known that x and y satisfy , then the value of the algebraic expression is ________.

15. It is known that 12 22 32 …… n2 = 16 n(n 1)(2n 1), then 22 42 62 …… 1002 =________.

3. Answer the questions:

16. Find the integer solution of the inequality.

17. When the three hands of the clock overlap at 12 o'clock, how many minutes have passed before the second hand bisects the angle between the minute hand and the hour hand (referring to the

acute angle) for the first time? (expressed as fractions)

18. Two people A and B are running at a constant speed along the circular track. They start from both ends of the diameter AB and run in opposite directions at the same time. When they first meet, they are 100 meters away from point A. It is 60 meters away from point B when they meet again. Find the total length of the circular runway.

19. The sums of the five integers a, b, c, d, and e added in ascending order are 183, 186, 187, 190, 191, 192, 193 respectively. ,194,196,x. Known alt; blt; clt; dlt; e, xgt; 196.

(1) Find the values ??of a, b, c, d, e and x;

(2 ) If y=10x 4, find the value of y.

"Hope Cup" Mathematics Invitational Competition Training Question 1

1. Multiple choice questions (only one of the four choices in each question below is correct)

1. The absolute value of -7 is ( )

(A) -7 (B) 7 (C) -1/7 (D) 1/7

The value of 2.1999- Equal to ( )

3. There are four propositions below:

① There is and is only one positive integer that is the same as its opposite.

②There is and is only one rational number that is the same as its opposite.

③There is and is only one positive integer that is the same as its reciprocal.

④There is and is only one rational number that is the same as its reciprocal.

The correct proposition is: ( )

(A) ① and ② (B) ② and ③

The similar terms of 4.4ab c are ( )

(A) 4bc a (B) 4ca b (C) ac b (D) ac b

5． The output of a certain product produced by a factory in July was 20% lower than that in June. If the output of the product in August is to reach the output in June, the output in August will be higher than that in July ( )

(A) 20% (B) 25% (C) 80% (D) 75%

6. , , , among the four numbers, the number with the smallest absolute value of the difference from is ( )

(A) (B) (C) (D)

7. If x=―, Y=0.5, then the value of X ―Y ―2X is ( )

(A)0 (B) (C) (D) ―

8. If ax b=0 and mx n=0 have the same solution equation with respect to the unknown number x, then there is ( )

(A) a m gt; 0. (B) mb≥an.

9． The result of (-1) + (-1) - (-1) × (-1) ÷ (-1) is ( )

(A) -1 (B) 1 (C) 0 ( D) 2

10． Among the following operations, the wrong one is ( )

(A) 2X + 3X ＝5X (B) 2X -3X ＝-1

11. It is known that alt; 0, simplify and get ( )

(A) 2 (B) 1 (C) 0 (D) -2

12. The result of calculating (-1) + (-1) ÷|-1| is ( )

(A) 0 (B) 1 (C)-1 (D) 2

13. Among the following formulas, the correct one is ( )

(A)a ?a =a . (B)(x ) =x .

14. The negative reciprocal of the opposite of -|-3| is ( )

(A)-(B) (C)-3 (D) 3

15. At the gathering of relatives and friends on October 1st, Xiao Ming calculated that the average age of everyone was exactly 38 years old. The grandpa said that these people also gathered on October 1st two years ago, so the average age of everyone at the gathering two years ago was ( ) years.

(A) 38 (B) 37 (C) 36 (D) 35

16. If alt; 0, then 4a 7|a| is equal to ( )

(A) 11a (B)-11a (C) -3a (D)3a

17. If the rational number x. y satisfies |2x-1| (y 2) = 0, then the value of x. y is equal to ( )

(A)-1 (B) 1 (C)-2 (D ) 2

18. The corresponding points of the rational numbers a, b, c on the number axis are as shown in the figure: then the correct one in the following formula is ( )

(A) c b gt; a b. (C) ac gt; ab

(B)cb lt; ab. (D) cb gt; ab

19. There are ( ) positive integer solutions to the inequality lt; 1.

(A) 2 (B) 3 (C) 4 (D) 5

20. A certain computer system can only perform one task at the same time, and can only perform the next task after completing the task. The existing times of U, V, and W are 10 seconds, 2 minutes, and 15 minutes respectively. The relative time of a task is The waiting time is the ratio of the time from submitting a task to completing the task and the time it takes the computer system to execute the task. Then among the following four execution sequences, the execution that minimizes the sum of the relative waiting times of the three tasks is ( ).

(A) U, V, W. (B) V, W, U

21. As shown in the figure, the lengths of line segments AD, AB, BC and EF are 1, 8, 3, 2, 5 and 2 respectively. Note that the area of ??the closed polyline AEBCFD is S, then the correct one of the following four choices is ( )

(A) S=7.5 (B) S=5.4

22. The number of participants in the first Hope Cup was 110,000, and that in the 10th was 1.48 million. The closest value to the average growth rate of the number of participants in the 10th Hope Cup is ( ).

(A) 21.8. (B) 33.5 (C)45 (D) 50

23． It is known that X and YI satisfy 3X + 4Y = 2, X-Ylt; 1, then ( ).

(A) (B) (C) (D)

24. Which of the following four sentences is correct ( )

A. The greatest common divisor of positive integers a and b is greater than or equal to a.

B． The least common multiple of positive integers a and b is greater than or equal to ab.

C. The greatest common divisor of positive integers a and b is less than or equal to a.

D. The common multiple of positive integers a and b is greater than or equal to ab.

25． It is known that a≤2, b≥-3, c≤5, and a-b+c=10, then the value of a+b+c is equal to ().

(A) 10 (B) 8 (C) 6 (D) 4

"Hope Cup" Mathematics Invitational Competition Training Question 2

26. The result obtained by dividing the absolute value of -6 by the opposite number is __________.

27. Expressed in scientific notation: 890000＝＿＿＿＿.

28. Use the rounding method to approximate 1999.509 (accurate to single digits), and the approximate number obtained is __＿.

29. Two rational numbers are known -12.43 and -12.45. Then, the difference between the larger number and the smaller number is __.

30． It is known that and are similar terms, then ＝＿＿.

31. The sum of the negative reciprocal of and the reciprocal of -|4| is equal to ____.

32. To approximate the number 0, the significant digits of 1990 are __＿.

33. The sum of the four numbers A, B, C, and D is equal to -90. The number A is minus -4, the number B is plus -4, the number C is multiplied by -4, and the number D is divided by -4. If the ratios are equal, then the largest of the four numbers is A number is greater than the smallest number.

34． It is known that the formula +□= , then the number to be filled in □ is __.

35. ( ÷ )÷ ＿＿＿.

36. It is known that the supplementary angle of angle a is equal to 3.5 times of angle a, then angle a is equal to __ degrees.

37． It is known that the equation (1.9x-1.1)-( )=0.9(3 x-1)+0.1, then the value of x is _.

38. Building A is 24.5 meters higher than Building C, Building B is 15.6 meters higher than Building C, then Building B is ___ meters lower than Building A.

39. As shown in the figure, the sum of the four numbers filled in the four small triangles is equal to zero, then the sum of the absolute values ??of these four numbers is equal to ____.

40. The equations about x 3mx+7=0 and 2 x+3n=0 are equations with the same solution, then

x-2y=1999

41. The solution of the system of equations is __________.

2x－y=2000

42． Xiao Ming rides a bicycle from place A to place B, first going uphill and then downhill. After arriving at place B, he immediately returns to place A. It takes 34 minutes. It is known that the uphill speed is 400 meters per minute and the downhill speed is 450 meters. / minutes, then the distance from point A to point B is ____ meters.

43. If his father is 24 years older than Xiao Ming, and his age in 1998 is three times that of Xiao Ming in 2000, then Xiao Ming’s age in 1999 is ____ years old.

44． It is known that and are similar terms, then ＿＿＿.

45． , and = . Then

46． are all two-digit positive whole floors. It is known that their least common multiple is 385, then the maximum value of is __＿.

47. The concentration of salt water in bottle A is 8%, the concentration of salt water in bottle B is 12%, the weight of the two bottles of salt water is 1000 grams, the concentration of the two bottles of salt A and B is 10.08%, then the weight of bottle A is ____ gram.

48. As shown in the figure, there are *** triangles that can be counted in the five-pointed star.

49. If it is known then =_____.

50． It is known that the number string 1, 1, 2, 3, 5, 8, 13,..., starting from the third number, each number is equal to the sum of the two adjacent numbers before it, then, the 1999th number in the number string The remainder obtained by dividing a number by 3 is _.

"Hope Cup" Mathematics Invitational Competition Training Question 3

51. Divide a rectangle with a length of , and a width of 6 into six identical small rectangles,

Then draw a shape like the letter M in the rectangle, remember the shape of the letter M

The area is S, then S＝＿＿.

52. Among the rational numbers -3, +8, -, 0.1, 0, , -10.5, -0.4, the sum of all positive numbers is filled in 0 of the following formula, and the sum of all negative numbers is filled in □ of the formal formula, and the following formula is calculated The result is filled in on the horizontal line to the left of the equal sign. 〇÷□＝＿＿.

53. Fill in the numbers: 〇 fills in the smallest natural number, △ fills in the smallest non-negative number, □ fills in the number of integers that are not less than -5 and less than 3, write the calculation result of the following formula on the right side of the equal sign on the horizontal line. (〇＋□)×△＝＿＿.

54. Take three different numbers from the set, fill in □ with the maximum product that can be obtained, fill in 0 with the minimum product that can be obtained, and write the result calculated by the following formula on the horizontal line to the right of the equal sign. －（－□）÷〇＝＿＿.

55. Calculation:

56. There is a simple algorithm to measure whether your weight is normal. The standard weight of a boy (in kilograms) is his height (in centimeters) minus 110. Normal weight is between standard body weight minus 10% of standard body weight and plus 10% of standard body weight.

It is known that student A is 161 cm tall and weighs W. If his weight is normal, the range of kilograms of W is _____.

57. If A is a rational number, then the minimum value of is ＿＿＿.

58. Calculation:

59. The position of rational numbers on the number axis is as shown in the figure, simplified

60. X is a rational number, then the minimum value of is _____.

61. As shown in the figure, C is the midpoint of line segment AB, and D is the midpoint of line segment AC. It is known that the sum of the lengths of all line segments in the figure is 23,

Then the length of line segment AC The length is _____.

62. Assume and are non-negative integers. It is known that the least common multiple of and is 36,

63. A and B are both at the 100-meter starting line. A stays where he is, while B runs to the 100-meter finish line at a speed of 7 meters per second. After 5 seconds, A hears B's cry and sees B falling to the ground. , it is known that the propagation speed of sound is 340 meters per second. At this time, B has run _____. meters (accurate to single digit)

64. There is an algebraic expression when the value of the

algebraic expression is when the value of the algebraic expression is then

65. As shown in the figure, a square with an area of ??50 square centimeters and another small square are placed side by side, then the area of ??

is __＿square centimeters.

66． Among the six-digit numbers 25 52, all are numbers greater than 7. This six-digit number is divisible by 11, then, the four-digit number is .

67． Today there are 15 1-cent, 2-cent and 5-cent coins, and the maximum value is 50.2 cents. The product of the numbers of the three coins is ____.

68. If the number of boys in the math group is greater than 40% and less than 50% of the total number of people in the group, then the math group has at least ____ members.

69． Using three digits 1 and three digits 2, you can form ____ different four-digit numbers.

70． Among three-digit numbers, the hundreds place is smaller than the tens place, and the tens place is smaller than the ones place. There are *** digits.

71. Among the nineteen hundred natural numbers from 100 to 1999, there are *** only ones with the same tens and ones digits.

In 72, someone asked Pythagoras how many students there were in his school. He replied: "Half of the students study mathematics, a quarter study music, one-seventh are resting, and There are three female students left.” How many students were there in Pythagoras’ school?

Answer: There were ____ students in Pythagoras’ school.

73. The epitaph on the foundation stone of Diophantus (a Greek mathematician in the second century) records: "The philosopher Diophantus is buried here. He lived a long life, one-sixth of his childhood and one-twelfth of his youth. After another seventh of his life, he married a bride and gave birth to a son five years later. Unfortunately, the son only lived half of his father's lifespan. His father died in four years. How long did Diophantus live? "

Answer: Diophantus’ lifespan was ____ years.

74. Someone asked a child how many brothers and sisters he had, and he replied: "How many brothers and sisters there are." Then asked his sister how many brothers and sisters she had, and she replied: "I have twice as many brothers as sisters." Ask them how many brothers and sisters they have?

Answer: They have brothers and sisters.

75. A said to B: "When I was as old as you, your Luo Shu was equal to half of my age this year. When you were as old as me, my age was twice your age this year and 7 years younger." ."How old are each of them now? Answer: A is ____ years old now, and B is ____ now.

"Hope Cup" Mathematics Invitational Competition training questions 4

Answer questions

76. A bus travels 8 stations from the starting station to the terminal station (including the starting station and the terminal station).

It is known that 100 people got on the train at the first 6 stations, and a total of 80 people got off except the terminal station. How many passengers got on the train at the first 6 stations and got off at the terminal?

77. It is known that the algebraic expression , the values ??of are 1-, 2, 2 respectively, and is not equal to 0. What is the value of the algebraic expression at that time?

78. As shown in the figure, there are three marbles moving counterclockwise on a circular track at the same time. It is known that A catches up with B at the 10th second, catches up with C at the 30th second, catches up with B again at the 60th second, and catches up with C again at the 70th second. Ask what time B used to catch up with C. How much time?

79. None of the rational numbers is 0, and suppose that try to find the value of the algebraic expression 2000.

80. It is known that is an integer, if , please prove: .

Answer: 370116 - Level 16 2007-3-16 17:56

Report /information1/5456.htm

Give me some points.

Respondent: 358585686 - Level 2 2007-3-16 17:56

Report the first-year mathematics Hope Cup competition practice paper

Class___________ Name_ _________

1. Multiple-choice questions:

1. It is known that the three points A, B, and C on the number axis represent rational numbers, 1, and -1 respectively, then it means ( )

(A) The distance between two points A and B (B) The distance between two points A and C

(C) The sum of the distances from two points A and B to the origin (D) A, C The sum of the distances from two points to the origin

2. Old man Wang first bought back 5 sheep at the market, with an average of 1 yuan each, and later bought 3 sheep with an average of 1 yuan each. He sold all the sheep at the price of each one, and found that he lost money. The reason for the loss was ( )

(A) (B) (C) (D) It has nothing to do with the size of

3. The sum of two positive numbers is 60, their least common multiple is 273, then their product is ( )

(A) 273 (B) 819 (C) 1199 (D) 1911

4. ***48 people in a certain class went boating on the West Lake in Hangzhou during their spring outing. Each small boat can seat 3 people. The rent is 16 yuan. Each large boat can seat 5 people.

People, the rent is 24 yuan, then the class will cost at least ( )

(A) 188 yuan (B) 192 yuan (C) 232 yuan (D) 240 yuan

5. It is known that the perimeter of a triangle is, one side is twice the other side, then the range of the smallest side of the triangle is ( )

(A) and between (B) and between (C) and between (D) and between

6. Two identical bottles are filled with alcohol solution. The volume ratio of alcohol to water in one bottle is: 1, and the volume ratio of alcohol to water in the other bottle is The volume ratio is: 1. Mix the two bottles of solution together. The ratio of the volumes of alcohol and water in the mixed solution is ( )

(A) (B)

2. Fill in the blanks:

7. It is known that , , , and ＞＞ , then = ;

8. Assume a polynomial, known When = 0, ; at that time, ,

Then at that time, = ;

9. Arrange the positive even numbers into 5 columns according to the table:

No. 1 Column 2 Column 3 Column 4 Column 5

First row 2 4 6 8

Second row 16 14 12 10

Third row Row 18 20 22 24

The fourth row 32 30 28 26

…… … … … … …

According to the rules in the table, the even number 2004 should be ranked Row, column;

10. Two people A and B set off from point A on the 400-meter circular track at the same time. After 8 minutes, they meet for the fifth time. It is known that A and B every second If B walks 0.1 meters further than B, then the shortest distance along the runway between the place where the two meet for the fifth time and point A is __________ meters;

11. Someone asked Teacher Li: "Is there anyone in your class? How many students? ", Teacher Li said: "Half of the students in my class are currently participating in math competitions, a quarter of the students are participating in music interest groups, one-seventh of the students are in the reading room, and there are still three female classmates watching TV." . Then the number of students in Teacher Li’s class is;

13. A certain clothing dealer first purchased a batch of children's clothing at a price of 160 yuan for 3 pieces, and then purchased twice as much children's clothing as the last time at a price of 210 yuan for 4 pieces. He If he wants to resell all these two batches of children's clothing and make a profit of 20, he needs to sell them for ______ yuan per 3 pieces.

14. It is known that x and y satisfy , then the value of the algebraic expression is ________.

15. It is known that 12 22 32 …… n2 = 16 n(n 1)(2n 1), then 22 42 62 …… 1002 =________.

3. Answer the questions:

16. Find the integer solution of the inequality.

17. When the three hands of the clock overlap at 12 o'clock, how many minutes have passed before the second hand bisects the angle between the minute hand and the hour hand (referring to the

acute angle) for the first time? (expressed as fractions)

19. The sums of the five integers a, b, c, d, and e added in ascending order are 183, 186, 187, 190, 191, 192, 193 respectively. ,194,196,x. Known alt; blt; clt; dlt; e, xgt; 196.

(1) Find the values ??of a, b, c, d, e and x;

(2 ) If y=10x 4, find the value of y.

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Do you know the little singer Lin Yiting in Music Express? How old is she? What songs has she sung? If you have any nice photos, send me some. .

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