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Elementary school math teacher answers basic skills competition questions _ Baidu Library

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1. Fill in the blanks. (50%)

2.250 students, 120 can sing, 40 can dance, and 30 of them can sing and dance. Then, there are people who can't sing and dance.

2. Li Ran ran up the Zushi Mountain at a speed of12m per minute from the Swallow Tomb at the foot of Yushan Mountain in Changshu, and then returned by the same route at a speed of 24m per minute. He walks an average of one meter on each branch.

3. In the table tennis competition in Changshu, * * * 32 players participated in the competition. If round robin is adopted, there will be a game; If the elimination system is adopted, * * * will have a game.

4. Party A, Party B and Party C were treated in the First People's Hospital of the city. The date of their first visit to the hospital was 1 February. The doctor asked Party A to come to the hospital every two days, Party B every four days and Party C every six days, so the second visit of three people on the same day was in _ _ _ _.

Three people eat three apples and eat them in three minutes. It takes nine minutes for a person to eat nine apples of the same size at the same time.

6. There are 73 red, black and white glass balls of the same size, which are arranged in the order of 1 red ball, 2 black balls and 3 white balls. The 68th glass ball is colored. There is a red ball.

7. There are 0, 1, 2, 3 and 4 digital cards, which can form _ _ _ two-digit numbers and _ _ _ five-digit numbers.

8. There are 45 apples and 34 pears, which are distributed to several kindergarten children on average. As a result, two pears are more and three apples are less, and they are distributed to _ _ _ _ children at most.

9. The two right-angled sides of a right-angled triangle are 3 decimeters and 5 decimeters respectively, and these two right-angled sides are taken as the axis.

After one revolution, the maximum volume of the graph is cubic decimeter.

10、4+6+8+ 10+……42+44+46=

1 1. There are 30 balls of the same size in a box, including 10 red balls, 8 white balls, 7 yellow balls and 5 green balls. Don't look with your eyes. You must take out at least 10 balls to ensure that there must be 7 balls with the same color.

12, the landscaping team will plant willows on both sides of the 300-meter-long riverbank. Plant one tree every 15 meter, and plant one tree.

13, Grandma Wu Yun is usually frugal, and she still uses the old calendar a few years later. The original Gregorian calendar dates will be repeated several years later, so the calendar for 2006 can be used as early as next year.

Class 1, Grade 5, 14, there are 30 boys and 20 girls. Now we should choose 1 boys and 1 girls to join the school's literary team. * * There are different selection methods; If you want to randomly select two students to join the school art team, * * * has different selection methods.

15, Xiao Fang * * * made 20 true and false questions, and if he answered correctly 1 plus 2 points, if he answered wrongly 1 deducted 1 point, Xiao Fang * * * got 28 points, and Xiao Fang * * * answered correctly and wrongly.

16.6 After the boys left the reading room, the ratio of boys to girls was 6: 7. 12 After the girls left, the ratio of boys to girls was 12: 1 1, so there were still people in the reading room.

17, count and fill in:

(1) There is a right angle and an acute angle in the picture on the right.

Oblique angle

There is a triangle on the right.

Parallelogram.

18, Party A and Party B run along the 400-meter circular track, starting from the same place and walking in the same direction at the same time. A runs 280 meters per minute, and B runs 260 meters per minute. After a division, I ran one more lap than B.

19, Party A, Party B and Party C each spend the same amount of money to buy an English book. After buying it back, both Party A and Party B will have six more books than Party C, so Party A and Party B will give Party C 1.5 yuan money respectively, and each English book will be RMB.

20. Use the four numbers 2, 5, 4 and 8 to form two two-digit numbers. The maximum product of these two digits is and the minimum product is.

2 1, the average weight of Kobayashi and Xiaoping is 33kg, that of Kobayashi and Xiao Qun is 33.5kg, that of Xiaoping and Xiao Qun is 34.5kg, and that of Kobayashi, Xiaoping and Xiao Qun is kg.

22. If the height of a cuboid increases by 2 cm, it will become a cube, and its surface area will increase by 56 cm. It turns out that the volume of this cuboid is.

23. The picture is a schematic diagram of the table top of the reformed billiard table. The shaded parts of the four corners in the picture represent four ball-entry holes respectively. If you hit a ball in the direction shown in the figure (the ball can be reflected many times), the ball will eventually fall into the hole.

24. A group of PLA men wanted to cross the river. There is only an empty boat by the river, and there is not even a ferryman. This ship can carry up to eight people at a time. Due to the tight time, I am going to send it six times, and the last time it is full of people. Q: There are people in this batch of PLA.

25. As shown in the figure, a cube that is all red needs at least a knife to get 100 cubes whose faces are not red.

2. Operational reasoning questions (18%)

1. Make a rectangle with a fence and a wall 238 meters long. What is the maximum enclosed area when the length and width are taken respectively? What is the area? (Take the length and width as integers and draw a schematic diagram.)

When a mouse met a cat, it ran away and the cat chased it closely. When the mouse was about to catch, the mouse fled to a round pool and jumped into the water, while the cat jumped into the air. The cat is unwilling. He stared at the mouse closely and ran with it by the pool, ready to catch it when it landed. The running speed of a cat is 2.5 times that of a mouse. Is there any way for mice to swim ashore without being caught by cats? (Draw a picture and tell the analysis process)

3. Divide the picture below into four small squares with the same size and shape, and then make a rectangle.

4、

(1) The positions of the three vertices A, B and C of a triangle in the graph are represented by number pairs.

(2) If the triangle is translated 3 squares to the left, the positions of the three vertices of the translated triangle are represented by number pairs.

(3) Rotate the triangle clockwise for 90 degrees around point B every time, and draw a graph after the first rotation; Draw the figures after the second and third rotation respectively.

(4) B 1, B2 and B3 are used to represent the rotated position of point b, respectively, and are represented by number pairs. Then connect B, B 1, B2 and B3 in turn to see what the number is.

5. How to cut a rectangular carton (as shown in the figure below) with a length of 10 cm and a width of 6 cm into a 2 cm cube (the seams are ignored)? In the figure, the part to be cut is indicated by the shaded part. At least two different schemes are given.

Three. Solve practical problems: (32%)

1. A rectangular playground will be extended by 20 meters in length and width, and the area will increase by 3,400 square meters. What was the circumference of the playground?

2. Make a cylindrical barrel without a cover, with a side area of 62.8 square decimeters and a bottom circumference of 12.56 decimeters. How many square decimetres of iron sheet does it take to make this barrel? How many liters of water can this barrel hold?

3. A fashion shop has a dress. It was sold at the original price on the first day, and no one came to buy it. The price was reduced by 10% the next day, but no one came to buy it. On the third day, the price was reduced 120 yuan, and the transaction was finally concluded. The known selling price is exactly 66% of the original price. What is the original price of this dress?

4. Each hard seat ticket of Suning Express is for 45 yuan, and each soft seat ticket is for 68 yuan. Scenery Travel Agency bought a * * *15,859 yuan for each of these two tickets. How many tickets do you want for each of these two kinds of tickets?

The number plates of 5, 3, 1, 2, 3, 4, ... 8, 9, put them upside down on the table and touch them one at a time.

(1) How likely is it to pick a card and touch each number?

(2) How likely is it to touch a multiple of 3 by touching it twice at will?

(3) How likely is it to touch the prime number after six random touches?

(4) If Xiao Ming and Xiao Hong randomly choose one of them, Xiao Ming wins by touching odd numbers and Xiao Hong wins by touching even numbers, is this game fair? Why?

6. The length of rectangular ABCD is 8 cm and the width is 6 cm. Fold the diagonal BD in half to get the following geometry. What is the circumference of the shaded part in the picture?

7. Party A, Party B and Party C cooperated to complete a project and were awarded 1800 yuan. The three people completed this work as follows: Project 3 completed by Party A and Party B in 8 days (1); Then Party B and Party C will cooperate for another 2 days to complete the remaining 4 (1); After five days of cooperation, three people completed the project. Pay according to work, how much should everyone get?

8. A cubic water tank with a length of 10 cm has been filled with some water. If you rotate along one side, the angle between the two sides of the cube and the ground is 45 degrees. The picture below shows the side view of the water tank, and the water surface is marked at point A. If you need to add 125 cubic centimeters of water to fill the water tank, what is the area of the triangular ACD?

Answers to the Test Paper of Basic Skills Competition for Solving Problems for Primary School Mathematics Teachers in Changshu City

Fill in the blanks.

1, 40009000.002405438+00000

2、 120

3、3486 83

4、 13

5、3

6. Black 13

7、 16 96

8、 16

9、78.5

10、550

1 1、36

12、42

13、20 1 1

14、600 2450

15、 16 4

16、 1 10

17、( 1)、2 17 1

(2)、5、 3

18、20

19、0.75

20、4428 1200

2 1、32 34 35

22、44 1

The 23rd and 2nd.

24、43

25、 17

2. Operation reasoning questions (18 points)

1, 80×79=44 1 m2

2. The mouse is in the center of the circle. When it saw the cat there, it swam in the opposite direction. It takes only one radius to swim to the shore, but the cat has to walk ∏ times the radius, and the mouse runs away.

3、

4 、( 1)A(6，7) B(4，4) C(6，4)

(2)A(3，7) B( 1，4) C(3，4)

(3) Sketch

(4) Square

Step 5 sketch

6 ellipsis

Three. Solve practical problems: (30 points)

1, (3400-400) ÷ 20× 2 = 300m

2,62.8÷12.56 = 5 decimeters

12.56 \3. 14 \2 = 2 decimeters

The surface area is 62.8+3. 14×2×2=75.36 square decimeter ≈76 square decimeter.