The first volume of the sixth grade mathematics unit 1 examination questions
1. Think about it and fill it in. (***2 1 min)
1.():8= = 0.75=( )%= () (overall) =3: ()
1 10 of 2.3kg sugar is the same as ()% of 1kg sugar.
3. The number of albums of Math World and Math Story is 4: 6, and the number of albums of Math Story is ()% more than that of Math World.
4.50 is more than 40 ()%, 15 is less than () 40%, and () is less than 2.4 25%.
5. A machine tool factory produced a batch of parts, of which 196 were qualified and 4 were scrapped. The pass rate is (). According to this calculation, 600 parts are processed, and () is qualified.
6. If the radius of the small circle is 12 of the radius of the big circle, then the area of the small circle is ()% of the area of the big circle.
7. A kind of clothing, the original price of which is 200 yuan, is now reduced by 10% and then increased by 10%, so the current price is ().
15% off the original price of 8.40 yuan, which is equivalent to a reduction of () yuan.
9. When the radius of a circle increases by 10%, the circumference increases by ()%.
10. Uncle Wang's family harvested 9.6 tons of apples this year, 1.6 tons more than last year, an increase of more than ().
1 1. Aunt Zhang bought a batch of children's shoes and sold them at the price of 15%. The purchase price of each pair of children's shoes in 46 yuan is ().
12. Tian Tian deposited RMB 4,000 in the bank in August 2008, with a term of two years, with an annual interest rate of 4.68%, and earned interest at maturity (). (20% interest tax deducted)
13 On the eve of the Spring Festival. 08, southern China was hit by the worst snowstorm. By February 3rd, 300,000 passengers were stranded in Guangdong Station, and passenger train 120 was sent by the station. On February 4th, 60 more trains were opened. The number of stranded passengers dropped to 240,000, and passenger trains were sent ()% more on February 4th than on the 3rd. The number of stranded passengers decreased by ()% on 4th compared with 3rd.
I am a little judge. (Right? , wrong number? x？ . )
1.A is 20% more than B, and B is 20% less than A.. ()
2.72 tons is 75% less than 288 tons. ()
3. Interest rate = principal? Interest? Time ()
4. A certain country manufactured a batch of aircraft, and the output last year exceeded 25% of the annual plan, then 125% of the annual plan was completed. ()
When a commodity is sold at a discount of 65%, it is 65% lower than before. ()
3. Sit in the right position. (Fill in the serial number of the correct answer in brackets) (10)
1. When the radius of a circle increases 10, its area increases ().
A. 10
Winter clothes are discounted during the Spring Festival. My mother bought a cotton vest for 80 yuan, which was cheaper than before the discount. This cotton vest is on sale.
25% discount, 20% discount and 75% discount
3. A barrel of oil 100 kg, pour out 20% and add 20%. Now, this barrel of oil weighs 100 kg.
A.96 B. 80 C. 100
Xiaoyan has 20 children's books, 20% less than Xiaoying. How many children's books does Xiaoying have? The correct formula is ().
A.20 ? Twenty minutes? ( 1+20)c . 20？ Twenty minutes? ( 1-20﹪)
During May Day, two supermarkets, A and B, held promotional activities at the same price for the same beverage. Supermarket A bought five bottles and got 1 bottle. Supermarket B reduced the price by 20%. Li Shifu wants to buy some of these drinks for athletes. It will be cheaper to go to the supermarket.
A.A.B.B.C.A or B.
6. If 60% of A is equal to 75% of B, then A is () B. ..
A. greater than B. less than C. equal to
7.250 Jin of flour was eaten by 20%, and the remaining 20% was eaten by * * * Jin.
A.40% b . 90% c . 160
8. Interest rate represents the ratio of ().
A. Principal and interest B. Interest and principal C. Interest and time
9. The number A is 96, which is less than the number B 14%. What is the number B? The formula is ()
A.96 ? ( 1+ 14﹪) 96 ? ( 1+ 14﹪) 96 ? ( 1? 14﹪)
10. A set of underwear is sold at a 20% discount, which means that the current price is equivalent to ()
A. 80% of the original price B. 20% of the original price C. 120% of the original price
Four. Calculation:
1. Fill in the appropriate numbers in the blanks in the table below. (10)
Score 3/8
Decimal 0.25 0.4
Percentage 20% 75%
2. Solve the equation: (16 points)
30% x+30 = 75 x-20% x = 38 x+30 x = 84.5
( 1-25)x = 40.5 15 x+30 x-5 x =
4+6 = 29.4 x-32 x = 3.06 x-5 x = 5.5
3. Column calculation: (10 score)
(1.) 25% of a number is 50. What is 85% of it?
(2) A number is B number. What percentage is B more than A?
60% of a number is 7 more than its 59. What's this number?
(4) 25% of 32 is equal to 40% of a number. What's this number?
(5) Suppose that 75% of a number is 60, what is 50% of this number?
(6) The number of A is 240, and the number of B is 25% more than A. Find the number of B. ..
Verbs (short for verb) solve problems:
1. Xiaohong poured out 40% of the oil from the oil drum, leaving 12kg. If she pours this barrel of oil 12%, how many kilograms should it be?
There are 48 students in class 5/kloc-0 today. One of them is on sick leave, and the other is on personal leave. What is the attendance rate?
A hotel has a turnover of 250,000 yuan in May, and there is 237,500 yuan left after tax payment. What is the tax rate for this hotel?
4. A car traveled from A to B for 3 hours, the first hour traveled 60 kilometers, the second hour traveled 73 kilometers, and the third hour traveled 30% of the whole journey. How many kilometers is it between A and B?
Beibei's family plans to spend 1800 yuan this month, of which 40% is classified as living expenses, 25% as cultural expenses and the rest as other expenses. (1.) How much is the cultural expenditure this month?
(2) What percentage is the cultural expenditure less than the living expenditure?
(3) What percentage of other expenditures are more than cultural expenditures?
6. The turnover of a hotel in June 5438+ 10 was 10.5 million yuan. In June 5438+10, the turnover ratio increased by 20%. If the business tax is paid at 5% of the turnover, how much business tax will be paid in these two months?
7. It is stipulated that individual income tax shall be paid for the part with monthly income exceeding 3,000 yuan. Teacher Zhang earns 4600 yuan a month. How much personal income tax should he pay? (See the table below for tax rates)
Monthly taxable income tax rate
Not more than 5% of 500 yuan.
Exceeding 500 yuan ~2000 yuan 10%.
More than 2000 yuan to 5000 yuan.
8. A shopping mall priced a commodity at 50% of the purchase price, and then wrote? Reward guests? . Selling at 80% of the marked price will result in a profit for every commodity, 20 yuan. What is the purchase price of this commodity?
On February 23rd, 9.65438, the People's Bank of China announced that it would reduce the one-year deposit interest rate from 2.52% to 2.25% (temporarily exempt from interest tax).
(1.) According to the interest rate before adjustment, 20,000 yuan will be saved for one year. How much interest should I earn after it expires?
(2) It is also 20,000. How much interest is less after adjustment than before?
Math learning methods in sixth grade
First, seize the classroom.
Science study focuses on weekdays and is not suitable for surprise review. The most important thing to study on weekdays is to attend class for 45 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 mentioned by teachers and pay attention to the answers to questions, such as? Return? 、? Combination of numbers and shapes? The way of thinking is far more important than the answer to a question.
Second, finish the homework with high quality.
The so-called high quality refers to high precision and high speed. When writing homework, sometimes the same type of questions will be repeated. 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 science; Even if you fail, this question will leave a deep impression on you.
Third, think hard and ask more questions.
First of all, we should not only know the laws and theorems 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 science. 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.
Fourth, sum up and contrast, and clear up ideas.
(1) summary and comparison of knowledge points. After learning each chapter, you should make a frame diagram of the content 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.
Fifth, do extracurricular exercises selectively.
Spare time is very precious to us middle school students, so when you do extracurricular exercises, you should be less and better. As long as you do two or three questions every day, your mind will be broadened after a long time.
It is important to learn mathematical methods, but the spirit of studying hard and improving is more important. 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!
The following are several problems that often appear in mathematics learning:
1, the understanding of knowledge points stays at the level of a little knowledge;
2. We can never master the key mathematical skills of solving problems, treat each problem in isolation, and lack the ability to draw inferences from others;
3. When solving a problem, there are too many small mistakes, and the problem can never be completely solved;
4. The problem-solving efficiency is low, and a certain number of problems cannot be completed within the specified time, which is not suitable for the examination rhythm;
5. I haven't formed the habit of summarizing and summarizing, and I can't habitually summarize the knowledge points I have learned;
Common problems in sixth grade mathematics
(1) Explore concepts and formulas carefully.
Many students pay insufficient attention to concepts and formulas. This problem is reflected in three aspects: first, the understanding of the concept only stays on the surface of the text, and the special situation of the concept is not paid enough attention. For example, the concept of algebraic expression (an expression expressed by letters or numbers is algebraic expression) has been neglected by many students? Is a single letter or number algebraic? . Second, concepts and formulas are blindly memorized and have nothing to do with practical topics. The knowledge learned in this way can't be well connected with solving problems. Third, some students do not pay attention to the memory of mathematical formulas. Memory is the basis of understanding. If you can't memorize the formula, how can you skillfully use it in the topic?
Our suggestions are: be more careful (observe special cases), go deeper (know the common test sites in the topic), and be more skilled (we can use it freely no matter what it looks like).
(2) Summarize similar topics.
This work is not only for teachers, but also for our classmates. When you can summarize the topics, classify the topics you have done, and know what types of problems you can solve, what common problem-solving methods you have mastered, and what types of problems you can't do, you will really master the tricks of this subject and really do it. Let it change, I will never move? . If this problem is not solved well, after entering the second and third grades, students will find that some students do problems every day, but their grades will fall instead of rising. The reason is that they do repetitive work every day, and many similar problems are repeated, but they can't concentrate on solving the problems that need to be solved. Over time, the problems that can't be solved have not been solved, and the problems that can be solved have also been messed up because of the lack of overall grasp of mathematics.
Our suggestion is: summarize? Asking fewer and fewer questions is the best way.
(3) Collect your typical mistakes and solve the problems that you can't solve.
The most difficult thing for students is their own mistakes and difficulties. But this is precisely the problem that needs to be solved most. There are two important purposes for students to do problems: First, to practice the knowledge and skills they have learned in practical problems. The other is to find out your own shortcomings and make up for them. This deficiency also includes two aspects, mistakes that are easy to make and contents that are completely unknown. However, the reality is that students only pursue the number of questions and deal with their homework hastily, rather than solving problems, let alone collecting mistakes. We suggest that you collect your typical mistakes and problems that you can't do, because once you do, you will find that you thought you had many small problems before, but now you find this one is recurring; You thought you didn't understand many problems before, but now you find that these key points have not been solved.
Our suggestion is: doing problems is like digging gold mines. Every wrong question is a gold mine. Only by digging and refining can we gain something.
(4) Ask and discuss questions that you don't understand.
Find problems you don't understand and actively ask others for advice. This is a very common truth. But this is what many students can't do. There may be two reasons: first, insufficient attention has been paid to this issue; Second, I'm sorry, I'm afraid of asking teachers to be trained and asking students to be looked down upon by them. With this mentality, you can't learn anything well. ? Close the door? It will only make your problems more and more. Knowledge itself is coherent, the previous knowledge is unclear, and it will be more difficult to understand later. When these problems accumulate to a certain extent, you will gradually lose interest in the subject. Until I can't keep up.
Discussion is a very good learning method. A difficult topic, after discussion with classmates, may get good inspiration and learn good methods and skills from each other. It should be noted that it is best to discuss with your classmates at the same level, and everyone can learn from each other.
Our suggestion is: study hard? Is the foundation? Good question? Is the key.
(5) Pay attention to the cultivation of actual combat (examination) experience.
Examination itself is a science. Some students usually get good grades. Teachers ask questions in class, and they can do anything. I can also do problems after class. But when it comes to the exam, the results are not ideal. There are two main reasons for this: first, the test mentality is not bad, and it is easy to be nervous; Second, the examination time is tight and it can never be completed within the specified time. Bad mentality, on the one hand, we should pay attention to our own adjustment, but at the same time we also need to exercise through large-scale examinations. Every exam, everyone should find a suitable adjustment method and gradually adapt to the rhythm of the exam with the passage of time. The problem of slow problem solving needs students to solve in their usual problem solving. Doing homework at ordinary times can limit time and gradually improve efficiency. In addition, in the actual exam, we should also consider the completion time of each part to avoid unnecessary panic.
Our suggestion is: release? Do your homework? As an exam, right? Exam? As homework.
People who have seen the "sixth grade mathematics unit 1 test questions" also see:
1. Unit 4 Mathematics Test Paper of Grade Six
2. The sixth grade mathematics volume Unit 4 manuscript
3. The first volume of the sixth grade mathematics examination paper and the answers.
4. Answers to the first volume of the sixth grade mathematics examination paper