Requirements: refer to the seventh to twelfth math textbooks and recite every concept.
Integer and decimal parts
1. What is a cyclic decimal? 2. What is the unit of counting? 3. What are numbers?
4. What are the properties of decimals? 5. How to rewrite a number into a number in units of "ten thousand" or "hundred million"?
6. What is divisible? 7. What is a prime number? What are the prime numbers within 100?
8. What is a composite number? 9. What is a prime factor? 10. What is a factorization prime factor?
1 1. What are the characteristics of numbers divisible by 2, 3 and 5? What is an even number?
13. What is strange? What is a multiple? 15. What is a divisor?
16. How to find the greatest common divisor and the least common multiple of two numbers?
What is addition? What is subtraction? What is multiplication? What is an organization?
18. What is the relationship between the parts of addition? What is the relationship between the parts of subtraction?
19. What is the relationship between the parts of multiplication? What is the relationship between the parts of division?
20. What is the operation order of elementary arithmetic?
2 1. What is additive commutative law? How to express it in letters? What is the law of addition and association? How to express it in letters?
22. What is the multiplicative commutative law? How to express it in letters? What is the law of multiplicative association? How to express it in letters?
23. What is the law of multiplication and distribution? How to express it in letters?
24. What are the primary operations in elementary arithmetic? What are the secondary operations?
Simple equation part
1. What is an equation? 2. What is solving an equation?
3. What is the solution of the equation? 4. What is the relationship between distance, speed and time?
5. What's the relationship among total work, working hours and working efficiency?
Fractions and percentages section
1. What is a score? 2. What is a decimal unit? 3. What is percentage?
4. What kinds of scores can be divided into? 5. What is a true score? 6. What is a false score?
7. What is the simplest score? 8. What is the relationship between fraction and division?
9. What are the basic properties of music score? 10. What can be done about the basic nature of separatist scores?
1 1. What's the approximate score? 12. What is the score?
13. How to divide decimals into numbers? How to convert fractions into decimals?
14. How to turn a score into a percentage? How to divide percentages into components?
15. How to convert decimals into percentages? How to convert percentages into decimals?
16. What kind of fraction can be reduced to a finite decimal?
Measurement part of quantity
1. What are the common length units? What is the speed of progress between them?
2. What are the common units of area? What is the speed of progress between them?
3. What are the commonly used unit of volume? What is the speed of progress between them?
4. What are the commonly used time units? What is the speed of progress between them?
5. Which months of the year are big months? In which months did you miscarry? How to judge whether a year is a normal year or a leap year?
6. What is volume? 7. How to rewrite the name of a high-level unit into the name of a low-level unit? How to rewrite the name of a lower-level unit into the name of a higher-level unit? 8. How many quarters are there in a year? How many months are there in a quarter?
A rudimentary knowledge of geometry
What are the characteristics of the 1. line segment? What are the characteristics of rays? What are the characteristics of straight lines? What do they have in common?
2. What is a horn? What does the angle have to do with? What does it have to do with? 3. What kinds of angles can be divided according to angles?
4. What is an acute angle? What is a right angle? What is an obtuse angle? What is a boxer?
5. What is vertical? What is parallelism? 6. What is a triangle?
7. What kinds of triangles can be divided into by angle? According to the edge can be divided into what kinds? 8. What is an axisymmetric figure?
9. What is a quadrilateral? What is a parallelogram? What is a trapezoid? What's the circumference?
1 1. What are the characteristics of rectangles and squares? 12. What is a circle? What are the characteristics of a circle? 13. What is the diameter of the circle? What is a radius? What is the area?
15. How to calculate the perimeter of rectangle, square, circle and semicircle?
16. How to calculate the area of rectangle, square, circle, parallelogram, triangle and trapezoid?
17. How to calculate the surface areas of cuboids, cubes and cylinders?
18. How to calculate the volume of cuboid, cube, cylinder and cone?
Ratio and proportional part
1. What is a ratio? 2. What is proportion? 3. What is the basic nature of proportion?
4. What is the basic nature of the ratio? 5. What's the ratio?
6. What is the method of finding the ratio? What is the result? 7. What is the solution ratio?
8. What is the way to simplify the proportion? What is the result of simplification? 9. What is the scale?
10. What is the relationship between ratio and division? What's the relationship between score and proportion? 1 1. How to find the scale?
12. What are the forms of scales? 13. What is proportional quantity? How to express it in letters?
14. What is the inverse relationship? How to express it in letters?
Statistical part
1. What is the specific process when doing simple statistics? 2. What are the common statistical charts?
3. What are the characteristics of bar charts? What's the role?
4. What are the characteristics of the broken line statistical chart? What's the role?
General review of mathematics in the sixth grade of primary school (1)
(Time: 40 minutes)
Class name grade
Review content: ① Understanding of integers and decimals; ② Four operations of integers and decimals; ③ Simple calculation.
Fill in the blanks. (30 points)
1. The unit of integer counting we have learned is (the ratio between every two adjacent units is ().
2. From the unit to hundreds of billions, it is (), () and ().
3. 1295330000 is () bit, and its highest bit is () bit.
There is a decimal, which consists of eight natural number units, five tenths and twenty-two thousandths. This number is written as () and read as (its counting unit is (
5606 million writing (rewritten as "10,000" as the unit is (the mantissa after omitting 10,000 is (accurate to 100 million digits is (
6. The difference between two adjacent natural numbers is (). A natural number is neither a prime number nor a composite number. Two adjacent natural numbers are () and ().
7. In the numerical sequence table, the first digit to the right of the decimal point is (), and the counting unit is (
The number in thousandths is the () position next to the decimal point ().
8. Moving the decimal point 0.625 to the left by two places is (reduced by () times.
9. The sum of five consecutive natural numbers is 200, which are (
10. The largest decimal place is less than the largest two decimal places (); The smallest two-digit pure decimal is greater than the smallest three-digit pure decimal ().
The product of two numbers 1 1. is 70, one factor enlarges 100 times, the other factor reduces 10 times, and the product is ().
12. arrange the following figures in descending order:
0.329 1.024 1.6 0.705 1 0.333…0
Multiple choice questions (Please put the letters of the correct answer in brackets, 5 points)
1. The difference between the largest decimal unit and the smallest prime number is ().
A. 1. 1 b . 1.9 c . 0.9d . 0. 1
2. The minimum multiple of a natural number is 18, and this number has () divisors.
A.2 B. 4 C. 6 D. 8
3. If the decimal point moves two places to the right, the original number is ().
A. increase 100 times B. decrease 100 times C. enlarge 100 times D. decrease 100 times 4 .3.999 The two decimal places reserved are ().
A.3.99 B. 4.0 C. 4.00 D. 3.90
5. Numbers greater than 0 and less than 1 ().
A. None B. There are countless C. Yes10 d. None of them are on it.
True or false. (Tick "√" in brackets for correctness and "*" for error, 5 points)
1. All decimals are less than integers.
2. Add three zeros at the end of the decimal, and the original decimal will be enlarged by 1000 times.
3. Cyclic decimal must be infinite decimal.
4. 1.666 is a pure cyclic decimal.
The sum of two unequal numbers must be greater than their difference.
Numbers written directly. (14)
432- 198= 4.35+ 1.8= 2.4*5= 1.25*0.8= 1÷0.25=
68.5+40= 3.2*20=8.4÷2 1= 3.75+0= 10-0.6=
0. 1*0. 1÷0. 1*0. 1= 999+99+3= 5.4÷ 1.5÷6= 6.87-4.9-0.87=
Calculate the following problems vertically. (3*2+4= 10)
3.08* 1.7 7÷ 1 1 4.8÷0.75
(Numbers should be retained to two decimal places) (expressed by the number of decimal places in commercial circulation) (check by two methods)
Use a simple method to calculate. (Write a simple calculation process, 36 points)
6.8- 1.36-0.64 2 1.9+( 15.7+ 18. 1) (2.5*73)*0.4 2.6+7.7+7.4+3.3
9*(7000÷63) 5.6* 1.25 1 1. 1÷0.25 0.2* 1.8*0.5* 10
457÷25÷4 2 1÷ 1.25 (8700+870+87)÷87 5.3*4.9+5*5.3
Rules and simple algorithms of integer and decimal operations
Orally calculate the following questions.
10-2.65= 0.9*0.08= 528-349=6+ 14.4= 24÷0.04=
12.34-2.3= 0÷3.8=0.77+0.33= 7÷ 1.4= 6.75+0.25=
7.2÷8*4= 5- 1.4- 1.6= 168+ 15= 400÷ 125÷8= 1.9*4*0.5=
Second, use a simple method to calculate.
1 125-997 278+498 16÷2.5 125*32 ( 1.25+7)*8
1.3+4.25+3.7+3 1874-324-476 17. 15-(3.5-2.85) 4.2÷ 1.2÷5
3.4*99+3.4 4.8* 1.0 1 7.5*99 4.3-2.45+5.7-4.55
95.6* 18+0.4* 18 9.56* 180-95.6*8 ( 1.6+ 1.6+ 1.6+ 1.6)*25
Application problem.
1. There are two bags of rice. After pouring 4 kilograms from the big bag into the small bag, there are 2 kilograms more in the big bag than in the small bag. How many kilograms of rice are there in the big bag?
2. Xiaohong followed her grandmother upstairs (the stairs on each floor are the same). Xiaohong is twice as fast as her grandmother. When grandma rushed to the third floor, Xiaohong just got home. What floor does Xiaohong live on?
Fourth, challenges. Calculate in a simple way
( 1)9999*7778+3333*6666 (2)3.6*3 1.4+43.9*6.4
General review of mathematics in the sixth grade of primary school (2)
(Time: 40 minutes)
Class name score
Review content: ① Divisibility of numbers ② Elementary arithmetic of integers and decimals.
I. Fill in the blanks (42 points)
1. In 1, 2, 3, 5, 9, 28, 37 and 5 1, odd numbers are (even numbers are (odd numbers but not prime numbers,) even numbers but not composite numbers.
2. The smallest three-digit number that can be divisible by 2, 3 and 5 at the same time is (), and the prime factor to decompose this number is (
Minimum multiple of 3. 9 is (), and the approximate number of 13 is (); The greatest common divisor of 9 and 13 is (), and the least common multiple is ().
4. Among natural numbers (except 0), () has the largest reciprocal; Among prime numbers, the reciprocal of () is the largest.
5.a and B are prime numbers, their least common multiple is 124, and A and B are (and) or (and).
6. A number is divided by 5, 3, 7, 5, 9 and 7. The minimum quantity is ().
7. Add the minuend, subtraction and difference to get 96, and the minuend is ().
8. Fill in the right number in the box of 24, so that this four-digit number can be divisible by 3 and 5 at the same time. There are () different ways to fill it.
9. A six-digit, 100,000-digit number is a prime number, 10,000-digit number is a composite number, 1000-digit number is twice that of 10,000-digit number, and 10-digit number is three times that of one-digit number. It is known that the sum of all the numbers in this six-digit number is a multiple of 9, so this number is (
10. There are four unequal natural numbers, the difference between the largest number and the smallest number is equal to 4, the product of the smallest number and the largest number is odd, the sum of these four numbers is the smallest two-digit prime number, and the product of these four numbers is ().
Second, choose (put the letters of the correct answer in brackets, 10)
1. The divisible number in the following formula is ().
a、20÷2.5=8 B、8÷5= 1.6 C、42÷6=7 D、 1.2÷0.4=3
2.4 is 12 and 36 ().
A, prime factor b, multiple c, greatest common divisor d, common divisor
3.m is odd, N is even, and the value of () below must be odd.
a、4M+3N B、3M+2N C、2M+7N D、2(M+N)
4. Of the four numbers1,3, 5 and 25, the prime number is ().
A, 2 to B, 3 to C, 4 to D, 5 to 5. There are two natural numbers. Their greatest common divisor is 4 and their least common multiple is 120. Such a natural array has ().
A, 1 group b, group c, group d and group III. Numbers written directly (10 points)
2004- 125*8= 20+ 10÷4=3.2+2.5*0.4= 0.4*0.4* 10=
1.8*7÷9= 1.5- 1.5÷3= 3÷4-0.5=6.9+3. 1-6.9+3. 1=
1. 1* 1. 1* 1. 1- 1. 1* 1. 1=99.99*77.78+33.33*66.66=
Four, column comprehensive formula calculation (18 points)
What is the product of 200 times 125 and half the sum of 65?
How much is the quotient of 3.24 divided by 0.6 less than the product of 5.7 times 1. 1?
Divide 5 1 43 into 17 parts. How much is it per share?
What is the sum of 3.9 and 2.4 multiplied by their difference?
How much is more than one tenth of 16.8?
What is the product of all prime numbers within 10, plus the smallest composite number and MINUS the smallest three digits?
Verb (abbreviation of verb) calculation (12 points)
2.3*25+3÷0.375 2.5*5.2÷ 1.04+77.5 356-2 16÷9*8 40÷( 1.2+9.3*4)
6. Fill in the same number to make the equation hold: (8 points)
( 15*-60)÷3= ÷25+4*=87
Simple arithmetic and operation of integers and decimals
I. Fill in ""
3.25*0.993.25 3.25÷0.993.25 3.25* 13.25
3.25÷ 13.25 3.25* 1.23.25 3.25÷ 1.23.25
Second, calculate the following questions, which can be simple or simple, and write the main simple process.
12.8*8-20. 1÷3 3.4+5.6÷7*4 9.8- 1.72-3.28
4.5* 1.8+ 1.8*5.5 (3.2- 1.5)*(0.8+2) 13.6-(7.8+3.6)
0.77÷35 269- 198 7.3* 102 39.36-(7.2* 1.3+9.8)
9. 18÷ 1.7-0.28* 1.5 15÷0.75+ 15÷0.25 1.5*[(3.2+4.06)÷6.05]
9.37+16.2+0.9 * 0.7 4.2 ÷ 2.8 (10-3.78) ÷ 3 (the number is kept to two decimal places)
Third, the column comprehensive formula calculation.
What is the sum of the quotient of 1 and 324 divided by 9 plus the product of 4.5 and 0.8?
What is the product of the difference between 2.0.42 and 0.29 times 1000?
3,40 minus the sum of 4.72 and 1.38, and the difference is divided by 0.3. What is the quotient?
4. What is the quotient of the difference between12 and 1 1.6 divided by the product of 1.6 and 2?
What is the difference between the quotient of 5 times of 4.2 minus 0.45 and 0. 15?
General review of mathematics in the sixth grade of primary school (3)
(Time: 40 minutes)
Class name score
Review content ① Compound application problem ② Typical application problem (average application problem, trip application problem, one application problem)
Complete the following quantitative relationship.
1. Quantity = total price 2. Savings 3. Distance ÷ time 4. Time = total workload 5. Interested in answering the following application questions.
1. The school bought 25 volleyballs and more than 2 footballs. The fruit shop delivered 45 boxes of oranges and 10 boxes of apples.
/kloc-Volleyball over 0/5, how much * * * 960kg for two kinds of balls. It is known that each box of oranges weighs 16 kg.
Answer? How many kilograms does each box of apples weigh?
3. The highway team wants to build a 120km highway, which has already been completed. Xiaohong used to use 28 tons of water every month to save water.
After 40 days of repair, 1.2km is repaired every day. After the rest of the faucet, the water used for one year can be used now.
After 30 days, how many kilometers are repaired every day on average? More than two months. How many tons of water are used every month now?
5. Young Pioneers planted trees, and 48 trees were planted in the fifth grade. 6. A factory wants to manufacture a batch of machine tools, and plans to produce them every day.
The number of trees planted in grade one is twice that of grade five, with 64 trees planted in 10 and 15 days, which is actually three days ahead of schedule.
How many trees can be planted in grade six than in grade five? Completed the task, and actually produced more machines than planned every day.
How many beds?
7. Zhenhua Machinery Factory made a machine, which was originally used. 8. There are two piles of cement ***900 bags on a construction site, such as
Steel 1.44 tons, after technical transformation, 40 bags are now taken out from pile A and put into pile B. At this time, pile A
Save 0.24 tons. The cement used to make 50 machines is four times that of pile B, but pile B
How many sets of steel can you make now? How many bags of cement?
9. A binding team will bind 2,640 books and 3 short books 10. Two ships, A and B, set out from two ports. Each ship
240 copies of vogue have been ordered. According to this calculation, the remaining hour is 30 kilometers, and the second ship is 35,000 per hour.
How many hours does it take to bind this book? After the M.B. ship left 1 hour, the A ship left.
Four hours later, the two ships met. The two ports meet.
How many kilometers away?
1 1. Master Wang produced 96 12 four days before a week. Two cars, A and B, came from A and B at the same time.
Parts, after 3 days, the average daily production of 26. Out, a car 60 kilometers per hour, b car every
How many parts are produced on average every day this week? The hourly line is 59 kilometers. When two cars meet, one car
It takes more than 8 kilometers to find the distance between A and B. 。