1、 + + + + =( )? ( )。
2. The sum of12 is (); 15 meter is () meter;
13 ton is () ton; 0.8 square meters is () square meters.
3. Fill in ○? & gt& lt? Or? =? .
? 1.4○ 9? ○ ? 9 ? zero
4. The number exceeding 30 is (); The number less than 64 is ().
More than 25 tons is () tons; /kloc-more than 0/5 tons is () tons.
5. The perimeter of a square with a side length of decimeter is () decimeter, and the area is () square decimeter.
There are 45 students in class 6.6 (1), of which girls account for the whole class, and there are () girls and () boys.
7. A bag of 50 kilograms of rice has been eaten, and () kilograms has been eaten, leaving ().
8. Read a 270-page book, read the whole book every day, and read () and () pages for four days.
Second, choose. (Choose the serial number of the correct answer and fill in the brackets) (2 points for each question, ***8 points)
1、? Is the number of sheep the number of cattle? , where () is a unit? 1? .
A. the number of sheep is uncertain
2, this year's output is more than last year, this year's output is equivalent to last year's ().
A. BC
3、 12? (-)=4-3= 1, calculated according to ().
A. Multiplicative commutative law B. Multiplicative distributive law C. Multiplicative associative law
4.7 is more than 28 ().
15 b . 14 c . 1 1
Third, the judge. (Right? , wrong number? ) (2 points for each small question, *** 10)
1, m is three times as long as1m. ( )
2. Three is smaller than five. ( )
3、a? =b? (both a and b are not 0), then a >;; B. ()
4, 2 Jin of sugar, eaten, there is still kg left. ( )
5. The length of a wire is 10 meter. If it is used, it is still10 m. ()
Fourth, calculation. (***32 points)
1, write directly. (8 points)
? = ? 30= ? = 15? =
0.9? = ? = ? 10= 1.8? =
2, can simplify (24 points)
17? ( + )? 0.8 ? + ? -
? 8? + ? 44-60?
Fifth, solve the problem. (6 points for each question, ***30 points)
1. The distance between Party A and Party B is 434 kilometers. How many kilometers did a car travel in four hours?
An orchard covers an area of 25,000 square meters. How many square meters are there for planting apple trees and pear trees?
A shoe store bought a batch of leather shoes, and sold 200 pairs in the first week, and sold more in the second week than in the first week. How many pairs are sold in two weeks?
4. The sixth grade students in clear lake Primary School donated money for the children in the disaster area. Six classes (1) donated to 800 yuan, six classes (2) donated to six classes (1), and six classes (3) donated to six classes (2). How much did Class Six (3) donate?
5. The original price of a suit is 540 yuan. Now the price is lower than the original price. What's the current price?
Additional questions: (10)
If a car goes from A to B, it can arrive 1 hour earlier than the original time if the speed is increased. After driving at the original speed120km, it can arrive 40 minutes earlier if the speed is increased. So how many kilometers is it between A and B?
Key points of mathematics learning in sixth grade
1, fractional percentage problem, ratio and proportion:
This is the key content of grade six, which accounts for a very high proportion in various school exams over the years. Focus on the following contents:
Correctly understand the unit 1 and know the difference between how much A is more than B and how much B is less than A;
The correct solution of the unit of 1, divided by the specific quantity, is the key to find the corresponding relationship;
Conversion between fractional ratio and integer ratio, understanding the relationship between positive ratio and inverse ratio;
Okay, okay. How many copies? Combining the understanding of solving the problem of sum multiple (proportional distribution) and difference multiple by proportion;
2. Travel problems:
The most important content in the application problem, due to the comprehensive investigation of students' proportion, the application of equations and the ability to analyze complex problems, often appears as the finale problem, and the focus should be on the following contents:
The proportional relationship between distance, speed and time, that is, when the distance is constant, speed is inversely proportional to time; When the speed is constant, the distance is proportional to the time; When time is fixed, speed is proportional to distance. In particular, among many topics, we must find this first? Are you sure? Number of;
When the three quantities are not equal, learn to find the ratio of the third quantity through the proportional relationship between two of them;
Learn to analyze and solve general travel problems by proportional method;
With the above foundation, we will further strengthen our understanding of the problems of repeated encounters and chases, special trips such as trains crossing bridges and running water. The key point is to learn how to analyze a complex topic, instead of just doing it.
3. Geometric problems:
Geometry is the focus of investigation in various schools, which is divided into two parts: plane geometry and solid geometry. Specific plane geometry is divided into linear problems and circles and sectors. Solid geometry is divided into two parts: surface area and volume. Students should focus on the following:
Application of equal product transformation and area proportion;
Geometric problems related to the perimeter area of circles and sectors, and related methods to deal with irregular graphics problems;
Three-dimensional graphics area: dyeing problem, section problem, projection method, cutting problem;
Volume of three-dimensional graphics: simple volume solution, volume transformation, soaking problem.
4, number theory problems:
The content of the regular exam can also be applied to strategic questions, crossword puzzles, calculation questions and other topics, which are quite important, and we should focus on the following contents:
Master the properties that can be divisible by special integers, such as numbers and integers that can be divisible by 9 must be multiples of 9;
It is best to understand the reason, because this method can be used in many topics, including some number puzzles;
Mastering the nature of divisor multiple, I can find the greatest common factor and the least common multiple of two numbers by decomposing prime factor method, short division and tossing division;
Learn the method of finding divisor. In order to improve the ability of flexible application, we need to understand the principle of this method.
Understand the concept of congruence and learn to turn the remainder problem into an divisible problem. The following property is very useful: two numbers are divided by the third number, and if the remainder is the same, the difference between the two numbers can be divisible by this number;
It can solve the problem of finding the remainder of multiple digits divided by smaller natural numbers, such as101121314? The remainder of 9899 is divided by 1 1, and the remainder of 20082008 is divided by 13.
5, calculation problems:
Calculation problems are usually more likely in the first few topics, mainly in two aspects. One is the basic ability of four operations, while some skills such as quick calculation and split term substitution are often the focus of investigation. We should focus on the following points:
Training in basic computing skills;
The multiplication distribution rate is used for fast calculation and ingenious calculation;
Conversion and operation between fractions and decimals, complex fraction operation;
Estimation and comparison;
Application of calculation formula. Such as arithmetic progression summation and square difference formula.
Formula of crack term, substitution term and general term.
Sixth grade math review plan
First, the objectives of the review are:
1. Grasp the concepts, laws and formulas learned this semester, which can be used to guide calculation and solve some practical problems.
2. Through review, students can skillfully calculate fractional multiplication and fractional division, and correctly calculate fractional elementary arithmetic problems.
3. Can correctly answer the application questions of scores and percentages, and further improve the ability of analysis, judgment and reasoning.
4. Know the circle, master the characteristics of the circle, master the circumference, area and calculation formula of the circle, and calculate it correctly.
Second, review the key points and difficulties:
1. Fractional elementary arithmetic and fractional and percentage application problems are the focus of review. Fractional elementary arithmetic is comprehensive, and its calculus process is complex, which is the comprehensive embodiment of four kinds of fractional calculation abilities.
2. The review of score and percentage application problems focuses on finding out the structural characteristics of basic application problems through comparison and contrast, and clarifying the ideas and methods of solving problems.
3. The complex application of fractions and percentages is the difficulty of this unit.
Third, review requirements:
1. Make students master the calculation rules of fractional multiplication and division more skillfully, and improve the elementary arithmetic ability of fractions.
2. Make students further know and understand the quantitative relationship of fractional multiplication and division application problems, better grasp the problem-solving ideas and rules of fractional multiplication and division application problems, and improve their thinking ability and ability to solve application problems.
3. Make students further understand the meaning and basic nature of ratio, correctly and skillfully calculate ratio and simplify ratio, use the knowledge of ratio to solve related application problems, further communicate the relationship between ratio, fraction and division, and improve the ability of flexible problem solving.
4. Make students know more about the significance and characteristics of the statistical graph with broken lines, and draw broken lines on the horizontal and vertical axes to represent the data; Can correctly and simply analyze the data in the statistical chart.
5. Make students further understand the meaning of percentage, deepen their understanding of the mathematical relationship and problem-solving methods of percentage application problems, and correctly apply the knowledge of percentage to solve some simple practical problems.
6. Make students know more about the characteristics of the circle, deepen their understanding and mastery of the circumference, area and calculation method of the circle, calculate the circumference and area of the circle according to the specific situation, and solve some simple problems with practice.
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