Final examination questions of the second volume of fourth grade mathematics
1. Fill in the blanks: (2 points for each small question, * * * 20 points)
(1) 2.5 kg = () g 3570 m = () km
3.08 tons = () kg 0.75 square meters = () square decimeter.
(2) fill in? & gt？ 、? & lt？ Or? =? .
3.04〇3.40 2.5 13〇2.52
5.3 kg 530 g 680 cm 6.80 m
(3) In a right triangle, one acute angle is 370 and the other acute angle is ().
(4)20.0752 is accurate to the tenth place (), and three decimal places () are reserved.
(5) Write () at 80.03, and rewrite it to three decimal places without changing the digital size.
(6) Fill the following decimals in the appropriate ().
0.05 3500.00 1.42
Computer: unit price () yuan Height: height () meters Egg: weight () kg
(7) The total length of the long-distance bus line is 260 kilometers, and the distance between two adjacent stops is 20 kilometers. There are () stations on this route.
(8) Without changing the size, rewrite 0.9 into three decimal places (); Rewriting 1 1 to two decimal places is ().
(9) Write the following decimals.
Written in 7.5 () and written in 13.86 ()
0.426 write () 0.0094 write ()
(10) decimal 0.8 has () tens, which is () 0.1; 0.63 has () () 0.208 has () ().
Two, multiple choice questions (5 points)
1, the following formula that can be easily calculated by multiplication and division is ().
a 、( 125+90)？ 8 B、52？ 25? four
c，7.6 X 1.25+2.4 D，(258 X 45) X 55
2. The numbers of the two formulas in the following group () are not equal.
a、25？ (200+4) and 25? 200+25? 4 B、36？ 20 1 and 36? 200+36
265？ 105? 265? 5 and 265? ( 105 15 5) D，25？ 174? 4 and 25? 4? 174
3. Don't look at the numbers below? Zero? The number of is ()
a、807. 17 B、270.05 C、400.6 1 D、30 1009
4. Which of the following figures? 0? Remove the constant size is ()
a、7055 B、7.05 C、70.55 D、7.550
5. There is a () decimal between1.1and l.3.
A, 1 1 B, 18 C, countless d, 19.
Three. Judgment: (5 points)
() (1) Three sticks of 10cm, 4cm and 3cm are connected end to end to form a triangle.
( )(2)
() (3) Enlarge 12.07 times 100 to be 120.7.
( )(4)73-73? 2=(73-73)? 2=0
(5) An isosceles triangle is an equilateral triangle.
Four. Calculation: (***30 points)
1, direct write times: (6 points)
72? 2= 120? 6= 80? 1 1= 2500? 5=
2.3+0.8= 6- 1.6= 1.2- 1.0= 4+ 1.7=
5.5-2.4= 3.6+ 1.3= 8? 5? 2= 40-30? 5=
2. Calculate by recursive equation: (12 points)
3.97+0.7- 1.32 30-(3.8+0.75) 75.6-( 14.3-8.3)
65+32? 4 (47+33) ? 13 ( 132- 17) ? (3 1-8)
3. Simple method calculation: (18 points)
73+3.4+27+5.6 7.25-3.42- 1.58 ( 125? 25)? four
363? 7+237? 7 4300? 25? 4 58+39+42+6 1
5. The following is a statistical table of the number of male and female fourth-grade students participating in interest groups in a school. (***9 points)
Class 40 1 402 403 404 405
Boys 27 30 25 32 18
Girls 20 22 18 20 26
Statistics on the number of male and female fourth-grade students participating in interest groups in a school
(1) Please complete the statistical chart according to the data in the above table. (5 points)
(2) Class () has the largest number of people participating in interest groups, while Class () has the least. (2 points)
(3) What other math questions can you ask? And answer. (2 points)
Six, solve the problem: (***25 points)
1. Zhang's income from selling apples, bananas and longan yesterday is as follows:
Apples, bananas and longan
Income (RMB) 56.6 13.25 38.4
How much more money did Uncle Zhang earn selling apples than bananas yesterday?
What was Uncle Zhang's total income yesterday?
2. The fourth-grade students of Guo Hua Town Central Primary School helped the villagers to pick peaches in the orchard. Class four (1) picked 254kg, and Class four (2) was divided into four groups, with an average of 68kg in each group. Which class has more choices? How many kilograms more?
3. This year's Arbor Day, students from Grade 4 to Grade 6 in Xiangyang Primary School planted 704 poplars and 64 pines. How many times have poplars been planted?
4. Apples and pears * * * weigh 2680 kilograms, apples are packed in a basket every 50 kilograms, and * * * is packed in 28 baskets. Pears are packed in a 40 kg basket. How many baskets of pears should I pack?
5. A red rope 120 decimeter long can make four small red flowers. How many decimeters does it take to make 25 small red flowers?
Mathematics learning methods in the fourth grade of primary school
First, establish a correct learning thought and attitude.
1, diligent and good at thinking. In the process of learning, we should carefully study the contents of textbooks, ask questions and trace back to the source. For each concept and knowledge point, we should understand its context, causality, internal relations, and mathematical ideas and methods involved in the derivation process. When solving problems, we should try our best to adopt different ways and methods, and overcome the rigid learning methods of books and machinery.
2. Apply what you have learned and practice hard. In the process of learning, we should accurately grasp the essential meaning of abstract concepts and understand the evolution process from concrete phenomena in practical things to theories; For theoretical knowledge, we should look for concrete examples in a wider scope, make them concrete, and try our best to apply theoretical knowledge and thinking methods to practice.
3, accumulate thin hair, achieve mastery through a comprehensive study. Textbooks are the main source of students' knowledge, but they are not the only source. In the process of learning, in addition to studying textbooks carefully, we should also read relevant extracurricular materials to expand our knowledge. At the same time, on the basis of extensive reading, do research seriously and master its knowledge structure.
4. Imitate internalization and actively innovate. Imitation is an indispensable learning method in mathematics learning, but it must not be copied mechanically. On the basis of digestion and understanding, use your brains and put forward your own opinions and opinions, instead of sticking to the existing framework and existing model.
5, review and organize, strengthen memory. What you learn in class must be digested on the same day, reviewed first and then practiced. Review must be carried out frequently, and after each unit, the knowledge learned should be summarized and sorted out to make it systematic and profound.
6, timely summary, scientific evaluation. Summary and evaluation in learning is the continuation and improvement of learning, which is conducive to the establishment of knowledge system, the mastery of problem-solving rules, the adjustment of learning methods and attitudes and the improvement of judgment ability. In the process of learning, we should pay attention to summing up the gains and experiences of listening, reading and solving problems. Further, there are learning methods involving specific contents, such as: how to learn mathematical concepts, mathematical formulas, rules, mathematical theorems and mathematical languages; How to improve the ability of abstract generalization, calculation, logical thinking, spatial imagination, problem analysis and problem solving; How to solve mathematical problems; How to overcome mistakes in learning; How to get the feedback information of learning; How to evaluate and summarize the problem-solving process; How to prepare for the exam? Further research and exploration of these problems will be more conducive to students' learning mathematics.
Second, develop good study habits. Good habits will benefit you for life.
Cultivating good study habits is an important aspect of forming students' learning ability and developing their personality, so developing good study habits is the key to future success. The following ten habits should be developed by every qualified student.
1, conscious preview habit: knowing new knowledge to learn; Prepare books, notebooks, stationery and materials needed for class; Use reference books to help preview; Write down what you don't understand and the difficulties you encounter.
2. Careful observation habits: consciously use sensory organs such as vision, hearing, taste, smell and touch to observe things; Observe comprehensively and clearly, and find out the characteristics and characteristics.
3. Listening habits carefully: concentrate and concentrate on listening; Listen carefully to what others say; Think and understand the content while listening; You can write down the relevant points. Report cards, classify them and label them. Collect old newspapers and periodicals regularly and form a good habit of reading newspapers. Accumulate knowledge and persist in doing it, and streams can also be merged into rivers.
Third, master the small skills in learning.
1, grab the classroom. Mathematics study focuses on weekdays and is not suitable for surprise review. The most important thing to study on weekdays is to attend class for 40 minutes. Listen attentively and keep your thoughts close to the teacher. At the same time, it should be pointed out that many students tend to ignore the mathematical ideas and methods taught by teachers and pay attention to the answers to questions. In fact, the way of thinking is far more important than the answers to some questions.
2. Complete the homework with high quality. The so-called high quality refers to high precision and high speed. When writing homework, I sometimes repeat the same type of questions. At this time, we should consciously examine the speed and accuracy, and we can have a deeper thinking about this kind of problem every time we finish it, such as the content it examines, the mathematical thinking method used, the rules and skills of solving problems, etc. In addition, the thinking questions assigned by the teacher should also be carefully completed. If not, don't give up easily. Do you want to carry it forward? Nails? Ling, meditate whenever you have time, and inspiration always comes suddenly. Most importantly, this is an opportunity to challenge yourself. Success will bring self-confidence, which is very important for learning mathematics; Even if you fail, this question will leave a deep impression on you.
3. Think hard and ask more questions. First of all, we should not only know the concepts and laws given by the teacher? Why? More? You know why? In the final analysis, this is the best way to understand. Secondly, we should be skeptical about learning any subject, especially mathematics. If you have any questions about the teacher's explanation and the content of the textbook, please feel free to ask questions and discuss with the teacher. In short, thinking and asking questions are the best ways to eliminate hidden dangers in learning.
4. Summarize and compare, and clear your mind. (1) summary and comparison of knowledge points. After learning a unit, you should sort out the contents of this chapter or go through it in your mind to clarify the relationship between them. Similar and confusing knowledge points should be summarized and compared separately, and sometimes they can be distinguished by association. (2) Summary and comparison of topics. Students can set up their own question bank. I have two sets of problem sets. One is wrong and the other is accurate. Write down the mistakes in the usual homework and exams selectively, and mark the matters needing attention with a red pen on one side. Just read what is written in red pen before the exam. I also wrote down some extremely clever or difficult problems I saw, and marked the methods and ideas used in this problem with a red pen. After a long time, I can sum up some types of problem-solving rules and write them down in red notes. In the end, they will become your precious wealth and be of great help to your math study.
5. Do extracurricular exercises seriously. Spare time is very precious to our primary school students, so you should be accurate and precise when you do extracurricular exercises. As long as you do three or two pages carefully every day, you can do math study for a long time? Accumulated sand into a tower? The harvest is fruitful. It is important to learn mathematical methods, but it is more important to study hard to improve the spirit of mathematics. As long as you persist in your efforts, you are sure to learn math well. Believe in yourself, math will make your wisdom shine more!
Matters needing attention in the fourth grade examination of primary school
Fill in the blanks
1, read the topic carefully and completely.
2. Recall related concepts, properties, laws, formulas, rates and methods.
3, careful calculation (drawing)
4. Is there any special method?
5. Is the result the simplest (the simplest score, the simplest proportion)?
6. Unit unification: with units.
Second, multiple choice questions
1, read the topic carefully and completely.
2. Recall related concepts, properties, laws, formulas, rates and methods.
3. Exclude the impossible from the options (exclusion method)
4, calculation control (reasoning), the results can be substituted into the topic to test whether it is reasonable.
Third, the judgment question
1, read the topic carefully and completely.
2. Recall related concepts, properties, laws, formulas, rates and methods.
3. Specialize the problem (concretize the problem)
4. Can you come up with data and give an example to overturn the given conclusion?
5. Consider whether the limit is exceeded.
Fourth, the graphic operation
1, read the questions carefully and find out the requirements.
2, recall the drawing requirements
3. Draw pictures carefully according to the practice requirements.
4. Mark relevant data and names.
Five, the practice of geometry problems
1. Read the questions, draw sketches and mark the conditional questions.
2, unified unit
3. Recall relevant formulas and methods (cutting, supplementing, translating and rotating; Pay attention to the equivalent changes)
Spelling:
The perimeter of the plane figure changes, while the total area remains the same.
The sum of the side lengths of three-dimensional graphics becomes smaller, the surface area becomes smaller, and the total volume remains unchanged.
Change: spell (merge), divide (separate), and distinguish who changes and who remains the same.
Cut:
The perimeter of the plane figure becomes larger, and the total area remains unchanged.
The sum of the side lengths of three-dimensional graphics increases, the surface area increases, and the total area remains unchanged.
Six, application questions
1. Read the question carefully and make clear the meaning of the question (find out the conditions and problems).
For example, use the list method.
Plan 40 days a day 105m.
Every day 120 meters? sky
Painting: line drawing, sketch of things, etc.
2. Analyze the topic and find the mathematical relationship.
① Find the relationship between conditions and the relationship between conditions and problems.
② Method: Grasp the problem and find the conditions.
How many days? Total length (constant)? The number of meters planned every day, the total number of days planned
③ Find out the equivalence relation.
Formula law
Proportion (positive proportion, inverse proportion):
1), which two quantities are changing and which one is unchanged;
2) What is the relationship between the variable quantity and the constant quantity?
Ratio (quotient) relationship (positive ratio)
Relationship of b product (inverse proportion)
3, column calculation (or column equation calculation)
4, check
Whether (1) meets the conditions and problems.
(2) Whether equal relations are satisfied.
③ Is the calculation correct (? Equation)
(4) is the unit unified?
⑤ Rationality of the results
* Changes in shape
* pour water (add objects? Can't find the same)
5. Pay attention to whether there is 2 in the formula. 、3? Or 2? 、3? ;
6, pay attention to the unit
VII. Calculation Problems
Steps:
Step 1: Look (1) to see what operation symbols are in the problem;
(2) Look at the characteristics of the characters.
Step 2: Thinking: (1) Think about whether it can be simple and what rules can be used easily;
(2) What is the sequence of operations?
(3) Thinking about calculation methods, including calculation methods.
The third step: calculate, calculate carefully;
Step 4: Check
1, check whether the number is wrongly copied;
2. Check whether the operation symbol is correct;
3, check whether the operation method is used correctly;
4. Check whether the operation sequence is correct;
5. Check whether the calculation method is correct;
6. Check whether the calculation result is correct;
7. Check whether the counting point is correct;
8. Check whether the result is the simplest.