Review of sixth grade in primary school

Math always reviews 1, numbers and number operations.

fill (up) a vacancy

(1) 10 | 6005 | 0860 is pronounced as (1.65860 billion), which is rewritten as (10600508600 million) and rounded to 100 million digits (1 1 billion).

(2) The decimal unit of 2 is (), and it has (9) such units. Minus (7) such units is the smallest prime number.

(3) Divide the 3-meter-long iron wire into 8 segments on average, with each segment being () meters long and each segment being 3 meters long (), that is, 1 meter ().

(4) The integers in 1 .2, 0, 4, 30, 17, 15, 18 are (0, 4, 30, 17,

5] A = 2× 3× 5, B = 2× 5× 7, the greatest common divisor of A and B is (10), and the smallest common multiple is (2 10).

[6] The unit of the score is the sum of all the simplest true scores of (2/ 15).

Once a number consists of two 1 and three, it is (2/5) and its reciprocal is (5/2).

(8) Move the decimal point of a number three places to the right, and then reduce it by 100 times to 30, and the result is (30).

⑼30÷50 = =(60)% =(6)

⑽ The prime factor of decomposing 2 10 is (3,7,2,5).

⑾ The maximum divisor of a number is 15, and the minimum multiple of this number is ().

⑿ The least common multiple of two prime numbers is 123, and these two numbers are () and () or () and ().

[13] A number can be divisible by 4, which is about a multiple of 5 or 6. The minimum quantity is ().

[14] The salt content of a brine is 10%, so the salt in this brine accounts for () of water.

⒂ Draw 6 ● first and then △. To make △ greater than ●, draw △( 10), and ● is △ ().

Has displayed more boys than girls, girls less than boys ()%, boys accounted for () of the total number.

⒄: For a steel bar, it takes 12 minutes to saw into three sections and () minutes to saw into six sections.

⒅ Number A equals number B, number B is 105, and number A is ().

Trick 2.05km = (2050) m 3 hours and 24 minutes = (3) hours.

⒇ The numerator should be enlarged by 3 times, and the denominator should also be increased () to keep the fractional value unchanged.

Second, judgment.

(1) Decimal is smaller than integer. (×)

⑵ More than 0.63 and less than 0.65 have only one or two decimal places. (×)

(3) If it is a false fraction, then the numerator must be greater than the denominator. (×)

(4) Two numbers that become prime numbers must both be prime numbers. (×)

5] When reading the number 9602900, zero will not be read. (√)

Because the denominator of this fraction, 12, contains not only prime factors 2 and 5, it cannot be converted into a finite decimal. ( )

Once two different prime numbers are multiplied, they must be a composite number. (√)

⑻ Decompose 60 into prime factor 60 = 1× 2× 2× 3× 4. (×)

⑼ Add 0 or remove 0 at the end of the decimal, and the size of the decimal remains the same. (√)

⑽ A is greater than B, and B is less than A 25%. ( )

Third, multiple choice questions

(1) When a is a natural number, the smallest of the following results is ().

A.a×b . a×( 1-)c . a \d . a \( 1-)

(2) If the number of A equals the number of B, then A (a) B.

A. > B. < C. Not sure

(3) 3.2 cans (b)

A. Divided by 2

(4) If 4a = b, then the greatest common divisor of a and b is ().

A.4b . A . c . B

5] Among the five scores, a * * has (b) simplest fraction.

A. 1 B. 2 C. 3

(6) Rounding to 1 10,000 digits in (c) below results in 530,000.

A.524999 B. 535000 C. 527482

Once the quotient of number A divided by number B is 5, the remainder is 3. If A and B are simultaneously expanded by 65,438+00 times, the remainder (A) is obtained.

A. unchanged B. expanded by 10 times C. expanded by 100 times.

Three digits must be a multiple of 3.

A.3、0、2 B. 5、2、4 C. 3、0、6

Levies1,2, 3 and 5 are all 30 (b).

A. prime number B. prime factor C. divisor

⑽(B) is both a composite number and a prime number.

A.B. 12 and 15 C. 8 and 9

Fourth, calculation

1. Oral calculation

36+29=65 0.25×8=2 0.8×87.5%= 1÷ =

- = 820-370=450 3÷25=0. 12 9 10÷70= 13

1+ 10%= 1. 1= 1 10% 6.2- 1 = ×4= 42.9÷3= 14.3

36-3.6=32.4 1.07-0.48=0.59 16×25=400 ÷0.75=

1 +2.7= 2.7÷ 10%=27 3.6× = 1 +3 =4

2. Simple calculation

567+98=665 8753-997=7756 8.8×250=2200 18 -(6 +9 )=

0. 125×7 ×8= 0.25×(0.4+4)=0. 1 1 ― ― = 16÷2.5=6.4

2 1 ÷7=3 ( + )×45= 0.4×7+ ×3= 4.5× 1.02=4.59

75%× +0.75× + ÷ 1 = ( + )×9+23÷4 1=

3. Basic arithmetic

8×3.4+9÷3.6=29.7 (0.75×2.9+ 1. 1× )÷2 =

4 ÷ 15× ÷ = (2 - 1 )÷( ×4.2)=

[4 -( + 1 ×2)]÷2.5= [( 1-0.95)÷0.05+0.95]÷0. 125=

2.4÷ +9.6× - 1 = 1.6×3.5+58.8÷2. 1=

1÷[ 1+ 1÷(2+ )]= 3÷0.25-3 × =

Verb (abbreviation of verb) text problem

(1) What is the reciprocal of the difference obtained by subtracting the sum of three from the minimum composite number?

What is the quotient of the sum of1plus 3.4 divided by 1.4?

(3) What is the quotient of sum and subtraction? ( - )÷( + )=

(4) Divide the smallest three digits by the sum of their reciprocal. What is the quotient? (+7)÷ 100= 14 1.

5] What is the quotient of addition and division, and the product of multiplication?

Minus 40%. What is the difference? - ×40%=

Once a number is 1.5 greater than 7.5, what is it?

What is the quotient of 25% of 3.6 divided by 6 times of 0.75? (3.6×25%)÷(0.75×6)=0.2

Ask questions according to the formula on the left.

Mom goes to the fruit shop to buy fruit, pears are 2.8 yuan per kilogram, apples are 3.2 yuan per kilogram.

Ask questions with formulas

(1) (2.8+3.2) × 3 (Mom went to the fruit shop to buy fruit, and bought 3 kilograms of pears and 3 kilograms of apples. How much did it cost? )

(2) 2.8×2+3.2÷2 ( )

(3)(3.2-2.8)×2 ( )

3. Ask questions after adding conditions according to the formula on the left.

Transport cement by car. The first shipment 15 vehicles, each with 80 packs.

Question on the complement condition of formula

( 1)80× 15+ 100× 18( )( )

(2) 100× 18-80× 15( )( )

(3) 100× 18÷80- 15( )( )

4. Analyze the following sentences and find out what the unit "1" is.

(1) Grain crops account for cultivated land area. Think of it as "1", and the area of other crops is "1".

(2) Some coal is left after a pile of coal is used up. Considering that the unit is "1" and the coal used is "1".

(3) The electricity consumption this month is less than last month. The unit is "1" and the electricity consumption this month is "1".

5. Change the statements of sentences to make them have the same meaning.

(1) A pile of coal is used, which means a pile of coal is left.

(2) The farm raised 400 pigs this year, 25% more than last year, which means that the number of pigs raised this year is the same as last year.

(3) The ratio of eaten to not eaten is 1: 4, that is, the ratio of eaten to total is 1: 5, and the eaten accounts for the total.

Think about it: do you have any other different statements?

6. There are 40 students in grade one and 50 students in grade two in Nanhu Primary School.

(1) Freshmen are sophomores.

(2) The number of second-year students is the number of first-year students.

(3) The number of freshmen is less than that of sophomores.

(4) There are more senior two students than senior one students.

7.( 1) Wang Fang has read an 8 1 page story book and has read 27 pages. What percentage of this book have you read?

② Wang Fang read an 8 1 page story book. She has read it. How many pages have you read?

(3) Wang Fang read a story book, has read 27 pages, accounting for 27% of the book. How many pages are there in this book?

8.( 1) There are two buses, A and B. The first bus is 480 kilometers, and the second bus is more than the first bus. How many kilometers is the second garage?

(2) There are two buses, A and B, which are 480 kilometers long, and B has fewer lines than A ... How many kilometers is the second garage?

(3) There are two buses, A and B, which are 480 kilometers long, and A has more lines than B.. How many kilometers is the second garage?

(4) Two buses, A and B, are 480 kilometers long, and the number of lines of A bus is less than that of B bus. How many kilometers is the second garage?

Think about it: can you sum up some rules from questions 7 and 8?

9. List the formula according to the meaning of the question, and do not calculate it.

A project will be completed by team A in 5 days and team B in 8 days.

(1) Which part of the project was completed by Group A in four days? () (2) After team B worked alone for 2 days, how much is left in this project? ( )

(3) How much of this project was completed after three days of cooperation between two teams? ( )

(4) After two days of cooperation, how many projects are left? ( )

(5) How many days did it take for the two teams to cooperate to complete the whole project? ( )

(6) Team B will do it alone for 2 days, and then Party A and Party B will cooperate. How many days will it take? ( )

10, list formulas or equations according to the meaning of the question, and do not calculate.

A car traveled120km from A to B,

(1) did 65% of what it didn't do. How many kilometers is this highway? ( )

(2) What is not done is 35% done. How many kilometers is this highway? ( )

(3) What is not done is 20% less than what is done. How many kilometers is this highway? ( )

(4) There are more people who have traveled than those who have never traveled 15%. How many kilometers is this highway? ( )

(5) 70% of the whole journey has been completed. How many kilometers are left? ( )

(6) The rest is 60% of the whole journey. How many kilometers are left? ( )

Column equations solve the following problems (arithmetic formulas can also be used)

1 1. The school organized students to sweep the "Martyrs Cemetery", with 248 students in grade four, two less than those in grade five. How many people are in the fifth grade?

12, 13 baskets of eggs and 260 kg of duck eggs were delivered from the market, and the eggs and duck eggs weighed 572 kg. How much does each basket of eggs weigh?

13. Two cars, A and B, go to the orchard to transport peaches. Car A transported 320 baskets more than car B, car A transported 9 times, with an average of 80 baskets each time, and car B transported 8 times. How many baskets are delivered at a time?

14. There are two bags of rice, and the weight of bag A is 1.2 times that of bag B. If you put another 5 kilograms of rice in bag B, the two bags will be equally heavy. How many kilograms are there in two bags of rice

15, 340 peach trees and apricot trees were planted in the orchard, of which 20 apricot trees were less than peach trees. How many trees have been planted in these two kinds of trees?

Use the proportional method to solve the following problems.

16, Uncle Zhang originally planned to process 60 parts per hour and complete a batch of processing tasks in 8 hours. It will take six hours to finish now. How many pieces are processed per hour on average?

17, full length from A to B160km, and a car travels 64km in two hours. At this rate, how many hours will it take to go back and forth between the two places?

18, a kind of iron wire is15m long and weighs 3kg. At present, this kind of iron wire is 475 kilograms. How long is it?

19, the same brick floor should be paved in 320 yuan with 24 square meters. How many bricks do you need to lay 30 square meters?

20. The summer camp prepared a fee of 10 for 360 people, and 450 people came. How many days can the original preparation cost be maintained if the activity cost per person per day remains unchanged?

Choose the appropriate method to answer the following questions.

2 1. The factory shipped a batch of coal. It was originally planned to burn 4 tons a day and last for 30 days. Due to the improvement of the stove, 1.6 tons are saved every day. How many days can this batch of coal burn?

22. The construction team will build an expressway. 40 meters will be built every day 8 days before the plan, and 580 meters will be built on the second day 12 to complete the task. In fact, it only took 15 days to complete the task. How many meters are actually repaired every day?

23. A garment factory planned to make 660 sets of clothes, which took five days, with an average of 75 sets per day, and the rest made 95 sets per day. How many days will it take to complete this task?

Two ships, Party A and Party B, left Qingdao for Shanghai at the same time. Ship A travels 36.5 kilometers per hour and ship B travels 43.2 kilometers per hour. After 8.5 hours, how many kilometers are the two ships apart?

25. A workshop plans to process a batch of parts, originally planned to process 35 parts every day, but actually processed 7 more parts every day than planned. It took 10 days to actually complete the planned task. How many days did it originally plan to complete the task?

26. The washing machine factory plans to produce 16800 washing machines throughout the year. Results The annual production task was completed two months ahead of schedule. At this rate, how many washing machines can be produced throughout the year?

27. Master Wang used machine tools to process a batch of parts and produced 1400 four days ago. At this rate, the remaining tasks will be completed in two days. How many parts will there be in this batch?

28. Two trains, A and B, run opposite each other. Car A travels 70 kilometers per hour and car B travels 60 kilometers per hour. It takes 1 hour for a car to leave, and then the two cars meet after 3.5 hours. How many kilometers is the railway between these two places?

29. The electrical appliance city bought 240 air conditioners for the first time, and the second time was the first time. The total number has been sold. How many units have been sold?

There are 36 students reading books and newspapers in the reading room, including girls. Later, four boys came to read books and newspapers. What is the percentage of female students in the reading room at this time?

3 1, (1) a section of iron wire, cut the whole length and connect it with 9 meters. At this time, the wire is longer than the original one. How many meters was the original wire?

(2) Cut a section of electric wire and then connect it to 9 meters. At this time, the wire is longer than before. How many meters was the original wire?

Compare these two problems and think about what you should pay attention to.

32. Xiaohong read a story book. On the first day, she read 32 pages the next day. At this time, the ratio of the number of pages read to the total number of pages is 2: 3. How many pages are there in this book?

33. The number of boys in the sixth grade of Yuhong Primary School accounted for 55% of the total number of students in the last semester. At the beginning of this year, three boys transferred and three girls transferred. At this time, the number of girls accounted for 48% of the total number. How many students are there in Yuhong Primary School now?

34. There is a pool of water. On the first day, 65 tons were released, and the remaining water was 5 tons less than the original. How many tons of water were there in the original pool?

35. Xiaoming reads a story book. On the first day, he finished reading the total pages of the book, and the next day, he read 15 fewer pages than the first day, just finishing reading the book in two days. How many pages are there in this book?

36. The library has purchased three new books, of which 180 is a reference book, and science and technology books account for the total. The ratio of the number of literary books to the total number of other two books is 1: 5. How many of these three books did you buy?

37. Pack a batch of fruit. If you use large baskets, you need to pack 80 baskets. If you use small baskets, you need to pack 120 baskets. As we all know, the big basket is 20 kilograms heavier than the small one. How many kilograms are there in this batch of fruit?

38. Dongdong built a road, 45 kilometers more than that without it. How many kilometers is this road?

39, a bag of melon seeds, the ratio of eaten and not eaten is 1: 4. If you eat 150 Jin, you have eaten 40% of this bag of melon seeds. How much does this bag of melon seeds weigh?

40. Students who are about to graduate from a school are divided into two groups on average to go to the clinic to check their eyesight. Results The vision of the first group of students was all normal, while that of the second group was normal. There are 180 students with known normal vision. How many students are there in the graduating class of this school?

1. Fill in the appropriate units of measurement.

(1) The capacity of a thermos bottle is 3(L).

The weight of an egg is about 45g.

(3) The weight of a sheep is about 80 ()

(4) The school playground covers an area of 5200 ()

(5) The Red Scarf Park covers an area of 22.5 ()

(6) A binary coin weighs 1 ()

(7) The Yangtze River is the longest river in China, with a total length of 6300 ().

(8) The length of the pencil is 17.5 ()

(9) The load capacity of the truck is 8.5 ()

(10) The area of a class desktop is about 28 ().

2. Life tips self-test.