Junior Grade 1 Mathematics Question Papers and Answers

Introduction: Mathematics problems are generated through the use of abstraction and logical reasoning, from counting, calculation, measurement and observation of the shape and movement of objects. The following are the first grade mathematics test papers and answers for everyone to study! First grade mathematics test papers and answers

1. Multiple choice questions (30 points)

1. The opposite of 3022 is ()

A.3022; B .-3022; C.; D.;

2. Which of the following statements is correct ()

A. The absolute value is its own number, which is a positive number; B. The reciprocal is its own number The number is ±1;

C. The square is its own number is 0; D. The cube is its own number is ±1;

3. If a＜0, b＞ 0, then the largest number among b, b+a, b-a is ()

A.b-a; B.b+a; C.a; D. Unable to determine;

4 Excessive packaging wastes resources and pollutes the environment. According to calculations, if the country reduces the use of excessive packaging paper by 10% every year, 3.12 million tons of carbon dioxide emissions can be reduced. This number is expressed in scientific notation as ()

A.3.12×105; B.3.12×106; C.31.2×105; D.0.312×107;

5. If the equations about x are 3x+5=m and x-2m=5 have the same solution, then the value of x is ()

A.3; B.-3; C.4; D.-4;

6. A takes 5 thousand If B travels for 16 minutes at a speed of 13 kilometers/hour, and B chases A at a speed of 13 kilometers/hour, then how many hours does it take for B to catch up with A ()

A.10; B.6; C .; D.;

7. The correct way to remove the brackets in the following formula is ()

A.; B.;

C.; D.;

8. Which of the following statements is true? ()

A. Line AB and line BA are two straight lines; B. Ray AB and ray BA are two rays; C. Line segment AB and line segment BA are two line segments; D. Line AB and line a cannot be the same straight line;

9. If ∠α and ∠β are complementary, and ∠α>∠β, then the following represents ∠ In the formula of the supplementary angle of β:

①90°-∠β; ②∠α-90°; ③(∠α+∠β); ④(∠α-∠β) The correct ones are ( )

A. 4; B. 3; C. 2; D. 1;

10. On the opening day of the "Langshan Tourism Festival" in Hunan, China, from Starting from 8:00 in the morning, the number of tourists entering the scenic spot every hour is about 1,000, and the number of people leaving the scenic spot every hour is about 600. It is known that the saturated number of tourists in Langshan Scenic Spot is about 2,000, so the number of tourists in the scenic spot on the opening day The time when the number of people is saturated is approximately ()

A.10:00; B.12:00; C.13:00; D.16:00;

2. Fill in the blanks (24 points)

11. Calculation: 0×(-2)-7=.

12. According to China News Service, Shanghai, June 1: Since the World Expo opened one month ago, the passenger flow has been stable. At 19:00 that night, the number of visitors has exceeded 8,000,000, which is expressed in scientific notation as 8,000,000=. < /p>

The ratio of the number of people playing shuttlecock and basketball is 1:2, which means the number of people participating in "other" activities accounts for % of the total number of people.

14.

15. The selling price of a certain apple is x yuan per kilogram. If you buy 5 kilograms with RMB with a face value of 100 yuan, you should get the yuan back.

16. It is known that ∠A and ∠B are mutually complementary. If ∠A=70°, then the degree of ∠B is.

17. As shown in the figure, if CB=4cm, DB=7cm,

And D is the midpoint of AC, then AC=.

18. Use black and white square pieces of paper to form the following pattern. The 10th one is arranged according to the rules.

There are white pieces of paper in the pattern.

3. Answer the question (22 points)

19. (6 points) Calculation:

20. (8 points) Solve the equation:

　21. (8 points) Assume,,

If, and B-2A=a, find the value of a.

IV. Application questions (24 points)

22. (8 points) The Youth League Committee of a middle school carried out a book donation activity of "Caring for Disabled Children", and all the teachers and students of the school actively donated various books. ***3000 books. In order to understand the distribution of various types of books, some books were randomly selected and divided into four categories for statistics: A. Art; B. Literature; C. Popular science; D. Others.

And draw the statistical results into two incomplete statistical charts as shown in the figure:

(1) This time the statistics extracted this book, m=, ∠α in the fan chart The degree of is.

(2) Please complete the bar chart.

(3) How many literature books are estimated to be donated by all the teachers and students in the school?

23. (8 points) The seventh "China Expo" with the theme of "Open Rise, Green Development" concluded successfully on May 20, 2012 in Changsha, Hunan. As the host, Hunan Province has signed a total of 348 overseas and domestic investment and cooperation projects outside the province, of which the number of overseas investment and cooperation projects is twice as many as 51 more than the number of domestic investment and cooperation projects outside the province.

(1) How many overseas and domestic investment cooperation projects outside the province have been signed by Hunan Province?

(2) If the average investment capital for each project of overseas and domestic investment cooperation projects outside the province is 600 million yuan and 750 million yuan respectively, please ask the host Hunan Province for this "China Expo"** *How many billion yuan of capital is introduced?

24. (8 points) (1) In the figure, point C is on line segment AB, line segment AC=6cm, BC=4cm, points M and N are the midpoints of AC and BC respectively, find What is the length of line segment MN?

(2) According to the calculation process and results of (1), assuming AC+BC=a, other conditions remain unchanged, can you guess the length of MN? In one sentence, describe the pattern you discovered?

(3) For (1), if the description is: "It is known that the line segment AC=6cm, BC=4cm, point C is on the straight line AB, and points M and N are the midpoints of AC and BC respectively. , find the length of line segment MN? "Will the result change? If so, find the result.

5. Comprehensive questions (20 points)

25. (10 points) It is known that point O is a point on straight line AB, ∠COE=90°, OF is the bisector of ∠AOE Line,

(1) When points C, E, and F are on the same side of straight line AB (as shown in Figure ①), try to explain ∠BOE=2∠COF;

(2) When point C and points E and F are on both sides of straight line AB (as shown in Figure ②), does the conclusion in (1) still hold? Please give your conclusion and explain why.

(3) Rotate the ray OF in Figure ② clockwise around point O by m° (0＜m＜180) to obtain the ray OD. Suppose ∠AOC=n°, if ∠BOD=° , then what is the degree of ∠DOE? (Expressed by a formula containing n)

26. (10 points) During the National Day holiday, Li Ping, Wang Li and other students went to a park with their parents to play. The following is what Li Ping and Wang Li said when buying tickets. Based on the conversation between Ping and his father, try to answer the following questions based on the information in the picture:

(1) How many adults did Li Ping and the others have together? How many students?

(2) Could you please help me calculate which way to buy tickets saves more money? Give reasons.

(3) After purchasing the tickets, Li Ping found that Zhang Ming and other 8 classmates and 12 of their parents ***20 people also came to buy tickets. Please design a more economical ticket for them. Ticket purchase plan and find the ticket purchase cost at this time.

Reference answers:

1. Multiple choice questions: 1. B; 2. B; 3. A; 4. B; 5. B; 6. C;

7, C; 8, B; 9, B; 10, C;

2. Fill in the blanks: 11, -7; 12, 8×106; 13, 20; 14, 5xy2- 3x2y; 15, 100-5x;

16, 20°; 17, 6cm; 18, 31;

3. Answer the question: 19, 0; 20, x=-8 ;

21. B-2A=-2()=7x-5y

From this we can get: x=2a, y=3; B-2A=7x-5y=- 14a-15=a, the solution is a=-1

IV. Application Problem 22. (1) 40÷20﹪=200; 80÷200=0.4=40﹪; °

< p> (2) The original number of B: 200-40-80-20=60, the drawing is omitted:

(3) 3000×=900 (original)

23. ( 1) Assume x overseas investment cooperation projects, we get: 2x-(348-x)=51, the solution is: ) Answer: slightly

(2) Total amount of introduced funds: 133×6+215×7.5=241.05 (billion yuan) Answer: slightly

24. (1) MN=5cm , (2) MN=a.

(3) There will be changes.

When point C is on the line segment AB, MN=5cm;

When point C is on the extension of line segment AB, MN=1cm;

5. Comprehensive questions: 25. (1) As shown in Figure ①, assuming ∠COF=α, then ∠EOF=90°-α

Because OF is the bisector of ∠AOE, ∠AOF=∠EOF=90°-α

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　So, ∠AOC=(90°-α)-α=90°-2α

　∠BOE=180°-∠COE-∠AOC=180°-90°-(90 °-2α)=2α, that is, ∠BOE=2∠COF;

(2) is established. As shown in Figure ②, assuming ∠AOC=β, then ∠AOF=,

So ∠COF=∠AOC+∠AOF=β+=(90°+β)

And ∠BOE =180°-∠AOE=180°-(90°-β)=90°+β, that is, ∠BOE=2∠COF;

(3) Because ∠DOE=180°-∠AOE- ∠BOD=180°-(90°-n°)-°=°

26. (1) Suppose there are x persons, then (12-x) students, we get: 35x+35×0.5 (12-x)=350

Solution: x=8, so there are 4 students.

(2) If you buy a group ticket: 35×0.6×16=336 (yuan), so you can save money by buying group tickets.

(3) The most economical way is to buy group tickets for 16 people and then buy student tickets for 4 people.

Ticket purchase fee: 35×0.6×16+4×35×0.5=406 (yuan).