Mathematics examination questions of post examination for primary school teachers

Simulated examination paper for teacher recruitment examination [primary school mathematics subject]

(Full score is 100)

First, multiple-choice questions (among the four alternative answers to each question, choose a correct answer that meets the meaning of the question, and write its options in brackets after the question is dry. There are *** 10 small questions in this big topic, with 3 points for each small question and 30 points for * * *)

1. A number divided by a, quotient 6 is greater than 3, and this number is ().

A.(a-3)÷6b . 6a+3

c . 6a-3D。 (a+3)÷6

There are () pairs of prime numbers in 2.2, 4, 7 and 8.

a . 2b . 3c . 4d . 5

3. Arrange 3, 5 and 8 into a three-digit number, so that the three-digit number arranged in this way is a multiple of 5. There are () kinds of arrangements.

a . 1b . 2c . 3d . 6

The rectangular playground has a circumference of 28 meters and an aspect ratio of 4∶3. The area of this land is () square meters.

a . 192 b . 48c . 28d . 12

5. The following calculation is correct ().

a . a3-a2 = aB。 (a2)3=a5

C.a6÷ a2 = a3D.a2？ a3=a5

6. In the following patterns, the one that is both central and axial symmetry is ().

Accelerated business collection and delivery system (adopted by the United States post office)

7. In the function, the value range of the independent variable x is ().

a . x≦-2b . x & gt； -2

c . x≠0d . x≠2

8. If the radius of the bottom of the cylinder is 4cm and the length of the bus is 5cm, then its lateral area is equal to ().

A.20πB.40π

c . 20d . 40

9. In the following pictures, the one that can just spell a rectangle with Figure 3 is ().

Accelerated business collection and delivery system (adopted by the United States post office)

10. If there are exactly four Sundays in October, then 10 and 1 cannot be ().

A. Friday B. Thursday

C. Wednesday D. Monday

2. Fill in the blanks (this big question * * 10 small question, 3 points for each small question, 30 points for * * *).

1.2 hours and 50 minutes = hours

5 tons 40 kg = tons

1040 square decimeter = square meter

2. 1.8: In a simple integer ratio, the ratio is.

3. Fill in the figures according to the law.

4.[ + 1 ×(5.4-2.7)]÷349= 。

5. Bu Si Nuo. Bus station/kloc-runs every 0/20 minutes, and bus No.5/kloc-runs every 0/5 minutes. After the station leaves at the same time at 8 o'clock, it will leave for at least one more minute.

6. It takes 20 days for Team A to complete a project alone, and 30 days for Team B to complete it alone. If Team A does it alone for four days, Team B will do the rest. It will take several days to complete the task.

7. In Rt△ABC, ∠ C = 90, AB = 5 and BC = 3, then cos∠B=.

8. In a closed circuit, the power supply voltage is constant, and the current I(A) is inversely proportional to the resistance R (ω). The following figure is the image of the functional relationship between current I and resistance R in this circuit, so the analytical function of current I is represented by resistance R.

9. The solution set of an inequality group about X is represented on the number axis shown in the above figure, so the solution set of this inequality group is.

10. points A(- 1, y 1) and B (-3, Y2) are on the hyperbola y=, so the relationship between Y 1 and y2 is.

Third, the calculation problem (this big problem ***3 small questions, 4 points for each small question, *** 12 points)

1. If you subtract 3 from 8, the difference is divided by 2. What is the quotient?

2.a3-ab2

3. As shown in the figure, the positions of real numbers A and B on the number axis.

simplify

Four, short answer questions (this topic ***2 small questions, each small question 5 points, *** 10 points)

1. There are 10 questions to be answered in the quiz competition of Class 6 (3) party, and it is stipulated that 1 questions get 5 points correctly, 1 questions get -8 points incorrectly, 0 points are not answered, and Lingling * * gets 12 points. How many questions did you answer wrong?

2. There are two ways to pay for PHS mobile phones in a certain area: (1) free of monthly rent, and the call is 0.25 yuan per minute, and the basic monthly consumption is 15 yuan; (2) The monthly fee is 18 yuan, and the telephone charge is 0. 1 per minute. Please calculate: the monthly call time is 100 minutes, 200 minutes. Which payment method is more cost-effective? If you have PHS, which payment method do you think is better? Why?

V. Application problem (this big problem * *1small problem, 8 points)

A bookstore offers discounts to customers. Customers can get 90% of the book price if they buy more than 100 books of the same kind. A unit went to a bookstore to buy two kinds of books, A and B. Among them, the number of copies of book B was 35, and only book A got a 10% discount. At this time, the total amount paid for purchasing Book A is twice that of Book B. Given that the price of Book B is 15 yuan, what is the price of Book A?

Six, mathematics teaching skills (this big topic * * 1 small topic, 10 points)

Teaching evaluation:

Mathematics Curriculum Standard for Full-time Nine-year Compulsory Education (experimental draft) points out that "mathematics learning activities should be a lively, proactive and personalized process", in which "students are the masters of mathematics learning". The following is a teaching clip of a special-grade teacher's "meeting topic". Please talk about how to properly grasp the role orientation of teachers in primary school mathematics teaching according to the educational concept of the new curriculum and the teaching fragments. (10)

Teaching clips:

……

Two students went on stage to simulate the scene: at eight o'clock, Zhang San and Li Si set out from their respective homes at the same time, and at eight o'clock, they met.

Thinking: How many minutes did Zhang San walk? How many minutes did Li Si walk? A * * * walk for a few minutes? Why?

Show examples:

Xiao Qiang and Xiao Li set out from their respective homes at the same time and walked in opposite directions. Xiao Qiang walked 100 meters per minute, and Xiao Li walked 50 meters per minute. Four minutes later, they met. How many meters are Xiao Qiang and Xiao Li apart?

Students use their own stationery to demonstrate.

Thinking: Where did they meet? Who is closer to the assembly point?

Choice: Do the teachers speak or do the students themselves?

Students urge themselves to do it.

Students who have finished their homework demonstrate various solutions on the stage: if they have the same idea, they will go on stage and sign their names next to the same solution; If it's not the same, write it on stage.

With students as primary school teachers, organize a discussion plan 1: 100×4+50×4.

Students (students borrowed from open classes) began to feel at a loss, and slowly it was pointed out that the unit did not write it and the format was too complicated.

It's all irrelevant side issues.

Teacher (sitting in the little teacher's seat, raising his hand): Teacher, I don't know anything. May I ask you a question?

After being affirmed, the teacher asked:

What does 100×4 mean?

What does 400+200 mean?

What's the distance between Xiao Qiang and Xiao Li?

As soon as each question came out, the students scrambled to help the teacher. Some students can understand but can't explain clearly, so other students use gestures or demonstrations to help him continue to understand clearly.

Can you organize the discussion and questions of the next formula by yourself?

All students: Yes!

Students discuss independently (100+50)×4

What does student 1: 100+50 mean?

What does student 2: 150× 4 mean?

The little teacher called the roll to answer, and the students had a heated discussion. Some students could clearly explain the meanings of 100+50 and 150×4. Teacher's courseware demonstration: 1 150m, 2 150m, 3 150m, 4 150m.

Reference answers and analysis of simulated test papers for teacher recruitment examination [primary school mathematics subject]

First, multiple choice questions

1.b [resolution] 6a+3.

2.b [analysis] 2,4,7,8 are prime numbers: 2,7; 4,7; 7, 8***3 pairs.

3.b [analysis] 385835.

4.b [Analysis] Suppose the length is 4a, the width is 3a, and the circumference is 2×(4a+3a)=28, then a=2, the length is 8m, the width is 6m, and the area is 48m2.

5.d [analysis] omitted.

6.c [analysis] omitted.

7.d [analysis] x-2 ≠ 0, x ≠ 2.

8.b [Analysis] The side area of the cylinder = the perimeter of the bottom × the height =2π×4×5=40π.

9.c [analysis] omitted.

10.a [analysis] This topic focuses on the ability of analysis, reasoning and judgment. 65438+ October has 3 1 day, 3 1 ÷ 7 = 4...3. 10 If there are sundays in the first three days of June, there will be five sundays in this month. If 65438+1 October1is a Friday, then 65438+1October 3 is a Sunday, and there will be five Sundays in 65438+1October; If 10 1 is Thursday, Wednesday or Monday, there are no sundays in the first three days, and there are only four sundays in 10. So 10 June 1 can't be Friday.

Second, fill in the blanks

1.17/65.0410.4 [Analysis] omitted.

2. 18/53.6 [Analysis] omitted.

3. 144/233 [Analysis] omitted.

4. 1.5 [Analysis] Original formula = = 1.5

5.60 [analysis] According to the meaning of the question, it should be the least common multiple of 20,15,60.

6.24 【 Analysis 】 Suppose it takes X days for B to complete the task, 1-× 4 = x30, and x = 24.

7.35[ resolution] cos ∠ b =

8.I = 6/r [analysis] omitted.

9.- 1≤x & lt； 4 [analysis] omitted.

10 . y 1 & gt； Y2[ analytic] y 1 =, y2 =.

Third, the calculation problem

1.(8-3× )÷2 =2

2. The original formula =a(a2-b2)=a(a+b)(a-b)

3.∵a & lt； 0，b & gt0∴a-b & lt； 0

∴ Original formula = | a |-b || a-b | =-a-b+(a-b) =-2b.

Fourth, short answer questions

1. [Answer analysis] She answered four questions correctly and made a mistake 1 question.

Lingling * * * got 12, assuming she got 1 and -8 wrong, she got 20 wrong; Suppose she got 2 and-16 wrong, and she got 28 wrong ... only 20 is a multiple of 5, so she got 4 questions right and 1 wrong.

2. [Answer analysis] 100 minutes (1) is better, ∫0.25× 100.

Choose (2)200 minutes, ∫ 0.25× 200 >; 18+0. 1×200; Comparing 0.25a with 18+0. 1a, when a = 120min, the expenses of the two payment methods are the same; When the monthly call time is less than 120 minutes, choose the prepaid method; If it exceeds 120 minutes, choose the second payment method.

Verb (abbreviation of verb) application problem

[Answer analysis] Set the price of a book at X yuan per book and buy a book.

× 15 = 2 x = 20 (yuan)

Six, mathematics teaching skills

[Key points] Make it clear that teachers' roles in teaching are organizers, guides and collaborators.

Combined with class examples, it is explained that teachers who are "organizers", "guides" and "collaborators" should do the following:

Study hard before class (1), accurately interpret the teaching materials, grasp the students' existing experience and foundation, and design the core problems of mathematics learning and appropriate teaching activities;

(2) In the classroom, we should establish a democratic, equal and harmonious relationship between teachers and students and create a good learning atmosphere;

(3) In class, organize activities effectively, give full play to students' main role, guide students to participate extensively and actively, and conduct in-depth exploration, ideological collision and sharing of thinking results around core issues.

In short, teachers should accurately grasp the role orientation in teaching, give full play to students' main role, be good organizers, guides and collaborators, and promote students' comprehensive, harmonious and sustainable development.