202 1 the first volume of mathematics in grade six, winter vacation homework 1 1. Please draw a cube with a side length of 4 cm by oblique seconds.
2. Xiaodong made a cuboid model with a surface area of 160 cm2. This cuboid can be exactly divided into two identical cubes. Try asking:
(1) What is the volume of each small cube?
(2) How many cubic centimeters was the original cuboid?
3. The length, width and height of a cuboid are reciprocal in pairs and are all natural numbers greater than 1. It is known that the volume of a cuboid is 872 1 m3. What is its surface area?
4. There is a cube with a side length of 12 cm. A square hole with a side length of 4 cm passes through its front, top, left side and center. How many cubic centimeters is the volume after perforation?
A cubic iron box with a side length of 6 cm contains water. Pour the water into a rectangular water tank with a length of 9 cm and a width of 8 cm, and find the depth of the water regardless of the thickness of the iron sheet.
6. Saw a 2.4-meter-long cuboid into five sections, and the surface area increased by 96 square centimeters. What is the volume of raw wood?
7. The areas of three sides of a cuboid are 3, 6 and 8 square decimeters respectively. How many cubic decimeters is the volume of a cuboid?
8. A rectangular cardboard is 8 cm long and 6 cm wide. If folded into the side of a cuboid with a square bottom, what is the bottom area of this cuboid?
9. One thousand small cubes with a volume of 1 cm3 are combined into a large cube with a side length of10cm. After the surface of the big cube is painted, it is divided into the original small cubes. How many of these cubes have at least two surfaces painted?
10, a cuboid, the sum of the upper right areas is 209 square meters. If the length, width and height are prime numbers, what is the volume of this cuboid?
Scientific learning methods and reasonable review materials can help everyone learn mathematics better. I hope the first volume of the sixth grade math exam in winter vacation homework prepared for you will help you!
202 1 Grade 6 Volume 1 Math winter vacation homework 2 I. Fill in the blanks (20 points)
1. 1: 0.25 The simplest integer ratio is (), and the ratio is ().
2. In 3: 8, add 9 before the ratio and () after the ratio to keep the ratio unchanged.
3.4 ÷ 8 = (): 32 = () ÷ 40 = decimal = ()%.
4. The number B is 20% less than the number A, and the number A is ()% more than the number B. ..
5.a=b means a:b= (): ().
6. The ratio of the three internal angles of a triangle is 1: 4: 5, which is the triangle with the largest internal angle () degrees.
7. If the quotient of A-B is 5, then A:B= (): ().
8. A book has 80 pages. Read 20% on the first day, 30% on the second day, and which page should I start on the third day?
9. The perimeter ratio of two circles is 4: 3, in which the area of one circle is 36cm2, and the area of the other circle may be () cm2 or () cm2.
10. The ratio of circumference to diameter of a circle is (): ().
Second, the distinction (10)
1. Dissolve 1g salt in 10g water, and the ratio of salt to brine is 1: 10. ()
2. The circumference of a semicircle is half that of a circle. ()
It takes several hours to process the same part, so Master Zhang will use it. The efficiency ratio between Li Shifu and Master Zhang is 6: 5. ()
4. Turn: In the simplest integer ratio, the ratio is. ()
5,5 is 25% more than 4, and 4 is 20% less than 5. ()
Iii. Selection (10 score)
1. If the area of the small circle is large, the ratio of the radius of the small circle to the radius of the big circle is ().
A.9:25B.25:9C.3:5D.5:3
2. The ratio of a ratio is, the latter is, and the former is ().
A. 0.2 BC
3. If the number of A equals the number of B, then the number of A: the number of B = ()
A.:B.:C. 1:2D.2: 1
4. The current price of a commodity is 20 yuan, which is lower than the original price by 5 yuan, and the price is reduced ().
25%B.20%C
5. A semicircle with a radius of r and a perimeter of ().
A.2B.4C R&D resources (+2)
Fourth, calculation should be simplified if it can be simplified. (12)
×7 1+75%×2956×
(÷+ 15)÷ 120%×÷×
Fifth, solve the equation. (6 points)
5x-20%x= 19.22.5:x=-2x=
Sixth, text questions, calculation. (6 points)
1. What is 80% of a number?
How much is 40% of 2.75 more than 60?
Seven, application questions. (36 points)
1. Xiaoqing will make 2200 grams of chocolate milk. The mass ratio of chocolate to milk is 2: 9. How many grams of chocolate and milk do you need?
2. Xiaogang rode a unicycle through a road with a length of 3 1.4m, and the tire diameter was known to be 40cm. How many turns does it take to complete the journey?
3. Divide a 2 16m-long iron wire into several sections for side length, and weld it into a cuboid frame, so that the aspect ratio of the cuboid is 4: 3: 2, and calculate the cuboid volume.
When processing a batch of parts, Xiao Wang processes 36 pieces per hour, and Xiao Zhang processes 4: 5 pieces per hour. How many parts can two people process in eight hours?
5.A bus from City A to City B takes 25% in the first hour and 90 kilometers in the second hour. At this time, there is still a whole journey from B city. What's the distance from city A to city B?
6. When reading a book, read the whole book on the first day and 120 pages on the second day. At this time, the ratio of read pages to unread pages is 2: 3. How many pages are there in this book?
202 1 sixth grade volume 1 math winter vacation homework 3 me, let me fill in the blanks! (per grid 1 min, ***2 1 min)
1.38+38+38+38=()×()=()
2. 12 56 is (); 23 out of 24 is ().
3. The reciprocal of1013 is (); () and 14 are reciprocal.
4. If the number of A equals the number of B, () is regarded as the unit "1", and () is ().
5. Fill in ○ > or =
56×4○569×23○23×938× 12○3825×2○25×
6. The perimeter of a square with a side length of 12 decimeter is () decimeter, and the area is () square decimeter.
There are 50 students in Class 7.6 (1), and girls account for 25% of the class. There are () girls and () boys.
8. A bag of 25 kilograms of rice has eaten 25%, eaten () kilograms, and there are () kilograms left.
9. The number two in the first row of movie tickets is usually recorded as (1, 2), and its sum is 3, so the seat with a sum of 4 is recorded as ().
Second, I will choose the right one! (65438+ 0 points for each question, ***6 points)
1. "The number of lambs is 38 of the number of big sheep", () is the unit "1".
A. Lamb B. Goat C. Not sure
2. The reciprocal of () must be greater than 1.
A. True score B. False score C. Any number
3. The ratio of A to B is 3: 2, B is 60 and A is ().
A.48B.40C.90
4.12× (14+13) = 3+4 = 7, calculated according to ().
A. Multiplicative commutative law B. Multiplicative distributive law C. Multiplicative associative law
A rectangular vegetable field is 20 meters long and 34 meters wide. The formula for calculating the area is ().
A.20×34B.20×34+20C.20×(20×34)
The number in 6.35 where 9 is more than 27 is ().
A. 19B
Third, I am a master of judgment! (65438+ 0 points for each question, ***6 points)
1. The reciprocal of the natural number A is1a. ()
2. 1 ton of 45 is as heavy as 4 tons of 15. ()
A wire is 3 meters long. It took 25 meters, leaving 35 meters. ()
25 of 4.60 is equivalent to 3 10 of 80. ()
5. Multiply a number (except 0) by a true fraction, and the product must be less than this number. ()
6. The sum of two reciprocal must be greater than 1. ()
Fourth, I am an expert in calculation!
1. Write directly (12 points)
13×0= 14×25=56× 12=7 12×3 14=
89×38=3 10× 103=9×7 18=23×9 10=
18× 16=89×37= 13× 1 12=47×7 12=
2. Simplify what can be simplified (18 points)
×× 13× 1 1(45+3 10)×2 1+28×
-×(34+58)×3272×
Fifth, the spark of thinking! (13)
1. See graphic calculation. (5 points)
2. Xiaoming walks the maze. He started from position A (4 4,2) and followed the route of (2,2) (2,6) (5,6) (5, 1) (8, 1). Please draw this route. (3 points)
3. As shown in the left picture, connect the points A, B and C first.
Triangle, and write the coordinates, and then put three.
Each point of the angle moves 3 squares to the right, and then
Move 4 squares, draw a new triangle, and then write
Find the three-point coordinates of the new triangle. (5 points)
Three-point coordinates of the original triangle:
Three-point coordinates of the new triangle:
Sixth, I am best at solving problems! (24 points).
1. It is known that the distance between Party A and Party B is160km. A car has finished the whole journey from A to B. How far are these two cars from B?
2. An orchard, covering an area of 20 hectares, including 25 kinds of apple trees, 0/4 kinds of pear trees/kloc-,and the rest of the land is planted with citrus. How many hectares of oranges have been planted?
A shoe store bought 600 pairs of leather shoes. 15 of the total amount sold in the first week, and 38 of the total amount sold in the second week.
(1) What percentage of * * * is sold every two weeks?
(2) How many pairs are sold every two weeks?
(3) How many pairs are left?
The sixth grade students donated money to the children in the disaster area. Class 6/kloc-0 donated 500 yuan, class 62 donated 45% of class 6/kloc-0, and class 62 donated 98%. How much are the donations from Class Six and Class Three?
202 1 Book 1 of Grade 6 Math winter vacation homework 4 Fill in the appropriate numbers in the box.
3/23/2 15/2; 14/9 14/94/9
5/35/35/6
dye
37.5%37.5%
Fill in the blanks according to the rules
The rule of 0.53/7 and 37.5% is that the numerator is 3, and the denominator behind it is higher than the previous one 1.
The law of 6/5,60%1.3 is: odd minus 0. 1, even plus 0. 1.
The law of 40%, 1.4, 33/20 190% is that the latter is 0.25 more than the former.
Find that area
1,10x12-3.14x (10/2) square =4 1.5 (square centimeter).
2.4X6/2+3. 14X(4/2) square /2= 18.28 (square centimeter)
solve problems
1 、( 1/3x 3/4- 1/5)/3/ 10 = 1/6
2 、( 1)( 14+ 16)/( 14+ 16+7+3+4+5+ 1)x 100% = 60%
(2)( 14+ 16+7+3+4+5)/( 14+ 16+7+3+4+5+ 1)x 100% = 98%
1- 1/( 14+ 16+7+3+4+5+ 1)x 100% = 98%
(3) Omission
Write the answer directly: 3/22/32/98/97/44/73/75y1313153/25/3415.
202 1 Grade 6 Volume I Mathematics winter vacation homework 5 1. Multiple choice questions (6 questions in this big question * * *, 2 points for each question, full score 12 points).
1. The divisible formula in the following formula is .................................................. ().
a . 0.6÷0.3 = 2； b . 22÷7 = 3…… 1；
c . 2÷ 1 = 2； d . 8 \ 16 = 0.5。
2. Among the three digits composed of 1, 5, 0, the number that can be divisible by both 2 and 5 is ...................... ().
1。
3. The following statement is correct in .......................................... ().
A. the composite number is even. Two numbers of coprime must be prime numbers.
C. A composite number has at least two factors. Positive integers can be even or odd.
4. All are positive integers. If, then the least common multiple of is ....................... ().
Asian Development Bank.
5. The number of the simplest score in the following is ................................. ().
A.2 B.3 C.4 D.5
6. Xiaoming doubled the one-meter-long rope twice, so the length of each rope is ............................ ().
A. 400 BC ..
202 1 Grade 6 Volume I Mathematics winter vacation homework 6 Page 65438 +0
1) 7/ 12 5/6 2/7 1/5 2 1/2 0 1 25 1
2) ( 1) ( 2 , 4 ) 3 6 (2) ( 6 , 8)
3) Omission
page 2
4)( 1) sketch
(2) Connect a parallelogram with a base of 4 cm, a height of 2 cm and an area of 4×2=8 (square cm).
5)( 1) The location of the Children's Palace can be represented by (6,4). It is 600 meters to the east and 400 meters to the north of the school.
The location of the gymnasium can be represented by (3,6). It is 300 meters to the east and 600 meters to the north of the school.
The location of the park can be represented by (9,5). It is 900 meters to the east and 500 meters to the north of the school.
Page 3
(2) Omission
(3) A: From home, Zhang Ming went to the Children's Palace, the library, the gymnasium and the shopping mall, and finally went home.
6) ( 1) A(2，5) B (6，5 ) C ( 4，7)
(2) Sketch, A' (2,2) B' (6,2) C' (4,4)
(3) A "(6,9) b" (6,5) c "(8,7 7) di is omitted from the drawing.
Page 4
Improve the article
(1) Shuai (5,0) Shi (5, 1) Bing (5,3) Item (7,0) Ma (7,2) Che (8,4)
(2) The next position that Xiang can go to is (5,2) or (9,2). If you keep walking, there are other places.
Most places where "Xiang" can go will appear in the same row or column.
(3) There are many answers.
Page 5
1) 1/3 9/20 20 25 1/ 12 4/7 3/2 0
2)( 1) 1,3
(2)5/9,5/9
(3) 3/5, 1/3
(4) 2/3, 10
(5) 40
(6) 6/5,9/ 100
3) 5/2 1/80 9 1 6/ 1 1 10
Page 6
4)( 1)×(2)× (3)√(4)× (5)×(6)√
5)( 1)C(2)A (3)B
6) 7/2 14/3
Page 7
1 1 30 3/ 16 13 1/5 2/3
7) (1) 51000× (1-7/10) = 51000× 0.3 =15300 (ten thousand square kilometers).
(2) 405× (1+7/45) = 405× 52/45 = 468 (m)
Page 8
(3) 21000× (1-1/3 )× 3/7 = 21000× 2/3× 3/7 = 6000 (yuan)
Improve the article
1) 1/2 1/2 1/6 1/6 1/ 12 1/ 12 1/20
1/20 1/30 1/30 1/42 1/42
Because the numerator is 1, the difference between the two fractions of the denominator coprime is equal to the difference between the denominator as the numerator and the product of the denominator as the denominator.
2) The original formula =1-1/2+1/3+1/3-1/4+1.
3) The original formula =1-1/2+1/3+1/3-1/4+1.
Page 9
1) 1/20 1 1/4 7/3 2 3/7 12 1/6 9 5
2) ( 1) 8/9 9 1/9
(2) 3/2÷3/8=4 3/2÷4=3/8
(3) 4/3 1/ 12
(4)>& gt& lt& lt= & lt
3) ( 1) × (2) × (3) × (4) √
Page 10
4)( 1) A (2) B (3) C (4) C
5)( 1) 7/9÷35/36=4/5
(2) 4/5×3/4=3/5 tons
(3) 8÷2/3× 1/6=8×3/2× 1/6=2
(4) 180× 1/3÷2/3=60×3/2=90
Page 1 1
6)( 1)2+2=2×2 or 0+0=0×0
(2)①4/ 15,4/ 15②9/70,9/70
③25/66,25/66④36/9 1,36/9 1
(3)4,7,3/7,3/7,
2/3×2/5=2/3-2/5 (there are many answers to this little question)
7) (1) 21÷ 7/17 = 51(pieces)
(2)8÷( 1-3/4)=8×4=32 (kg)
(3) 750 ÷ (1-7/32) = 750 ÷ 32/25 = 960 (m)
Page 12
(4)96-45=5 1 (page 1)
Mingming: 96× 3/4-15 = 72-15 = 72-15 = 57 (page) ≠ 51(page)
Congcong: 96×1/2+3 = 48+3 = 51(page) = 51(page)
A: Cong Cong is right.
Improved articles:
(1) The original formula = 20xx/2011xx (20xx+1) = 20xx+2010/20xx.
(2) The original formula = 63/2× 2/3+124/3× 3/4+205/4× 4/5 = 21+31= 93.
(3) The original formula = 3/2× 4/3× 5/4×…×100/99×1100 =10.
Page 15
(2)(42-24)÷ 1/4= 18×4=72
(3)18 ÷ 3/5-18 = 30-18 =12 (person)
(4) (2/5 ÷ 4) × (2/5 ÷ 4) =110 ×1=100 (square meter)
8) (1) 5.4 ÷ (1+8) = 5.4 ÷ 9 = 0.6 (kg)
0.6× 8 = 4.8kg.
(2) 360× (1-1/3) = 240 (only) 5+3=8 (copies)
Black rabbit: 240×5/8= 150 (only) grey rabbit: 240×3/8=90 (only) white rabbit: 360× 1/3= 120 (only).
Page 16
(3)9,36, 12
Improve the article
1)( 1)7:9(2)2:3:5(3)3:4: 10
2) The quality of pears is 2/5 of that of oranges, which means the ratio of pears to oranges is 2: 5.
Then the mass ratio of pear, orange and apple is 2: 5: 6, that is, the three fruits * * * are divided into 2+5+6= 13 (portions), and pear accounts for 2/ 13, so the pear is 260×2/ 13=40 (kg
Page 18
(5)3:4
(6) 1/5 1/4
(7)7/6
4)80+60+ 100=240 (kWh)
Jia Xiaoming:120× 80/240 = Jia Xiaohong, 40 yuan: 120×60/240=30 yuan.
Jia Xiaohua: 120× 100/240=50 (yuan)
5)X=5/2X= 1/ 18
6) A: This ratio is different from that in the textbook. Sports competitions only record scores.
Page 19
One,
1、2.05 2.05
2、64
3、 125 20
4, 18-2.5 times
5、24
Second,
3/ 16 1
Fourth,
1. These three piles each have 40 30 26 glass balls.
2. The baby's heartbeat is 60 times more than that of teenagers.
3. Every hamburger, 8 yuan, and every coke, 5 yuan.
Mathematics amusement park 6 72
Page 20
International commercial bank
Two. 0.88 3
Mathematics paradise
1, it takes at least 9 batches to cross the river.
2. Transport 34 rabbits at a time.
3. It will take at least 13 minutes.
Page 2 1
One,
1、68.75
2、0.32 & lt 1/3 & lt； 3 14% & lt； Pi?
3、20
4、50
Second, D B B
Third,
1. It costs the least to go to shopping center C.
2. (1) The volume of the No.3 fish tank, and the No.2 fish tank uses the least materials.
Page 22
I. √××××××√
Second, A C A A
Mathematics paradise
1、b & ltc & lta p = " " & gt& lt/c & lt； a & gt
There are 60 students in the sixth grade.
Page 23
International Arbitration Commission
Third,
1.3 hour journey180km
2, 700 kg of this soybean can squeeze out 9 1 kg of oil;
We need 9200 kilograms of this soybean.
3. Boys 14.
4. At least 13 1.28 square decimeter of glass is required.
Page 24
One,
What is the sum of 1 and 32 3/8?
Given that the product of two numbers is 25 and one factor is 5/7, what is the other factor?
2、95%
3、80 125
Two. √× √ √
Mathematics paradise
1, "smart" this year 12 years old
2. There are 25 big monks and 75 little monks.
Comprehensive exercise 1
I. 1.405
5.3. 14
7.300
8. 120%
9. 12.56
2, 1.×2.×3.×4.×
Three, 1. C2
Volts, 6.88 square centimeters
VII. 1.240 Basket
2.320 heads
3.2607 yuan
4.32 km
5.3 hours
6. 1 cm
Page 7. 120
Comprehensive exercise 2
I. 1.4000
3.5,30, 12,60%,3:5
4.0.097
5.32.5%
6.4:5= 12: 15
9.50 24 square centimeters
10.22
2, 1.D2
3, 1.×2. √3.×4.×
6. 1.500 km
2.48 km
3.60 strains, 48 strains
4.879.2 square meters
5. 100 cm2
Comprehensive exercise 3
I. 1. 1250
36,600,640
5. 1t
7.π
8. 134 cm2
9. 150.72 cubic centimeters
10.8:5
2, 1.√2.√3.√4.×
Three, 1. C2
Iv. 1.879
2.0. 19
3.0.2
5.586
9. 1
10.2
V length: 6.28cm width: 2cm
Vii. Page 1.40
2.650 tons
3.1108km
4. 167%
5.609 sets
6.360 km
7. 1200
8.3768 kg
Fill in the blanks
1.b； a
2.3,5,7; 4,6,8, 10; nine
3.2 10
4.60
5.( 1) 1; 1 1; 3; 9; 5; seven
(2)2; 10; 4; 8; 6; six
(3)4; eight
(4)5; seven
6.36; 36=2×2×3×3
7.70 1(700= 1×700)
8.4 (Let B be X, then A is 6x+2, and C is 6(6x+2)+2, so x+6x+2+6(6x+2)+2= 188, and x=4).
9.2; 4; 1; 0; 0
10. 1 and 21; 3 and19; 5 and17; 7 and15; 9 and 13 (select three groups)
1 1.32
12. 14
13. and others
14.
15.2.5(20÷ × =2.5)
16.
2. Multiple choice problem
1.a； B
2.B( 1+2=3)
3.B(3，5， 1 1， 17，29)
4.A
5.D
6.A
7.B
8.B( 18+30=48)
9.d( 1000- 142-76+ 10 = 792)
10.D ([4，6，8]=24)
Three. Computational problem
1.2
2.23
Step 4 solve the problem
1.90= 1×90=2×45=3×30=5× 18=6× 15=9× 10
So there are six kinds, namely 1 and 90,2 and 45,3 and 30,5 and18,6 and15,9 and 10.
2.336=2×2×2×2×3×7=6×7×8
6+7+8=2 1
3.( 1)260=2×2×5× 13
So these two numbers are 4 and 65.
(2)420=2×2×3×5×7
So these two numbers are 4 and 105, 12 and 35, 15 and 28, 20 and 2 1.
;