20 12 winter vacation homework's answer to mathematics in the first volume of the sixth grade.

Mathematical solution of new space-time in winter vacation

P4 No.5

Fill in the appropriate number in the box: 3/2 3/215/2; 14/9 14/9 4/9; 5/3 5/3 5/6

What is the percentage of the drawn part area to the rectangular area: 37.5% 37.5%.

Fill in the figures according to the law:

1.0.5, 3/7, 37.5%, the law is: when these numbers are converted into fractions with molecules, the denominator will increase from 1 in turn.

2.6/5, 60%, 1.3, the law is: there are two groups of laws here, which appear at intervals. The first group decreased by 0. 1, and the second group increased by 0. 1.

3.40%, 1.4, 33/20, 1.90%, the law is: every two adjacent numbers increase by 0.25.

Find the area of the colored part in the picture below:

1. Radius = 10÷2=5 (cm) Shadow area =12×10-5× 5× 3.14 = 41.5.

2. Radius =4÷2=2 (cm) Shadow area = 2× 2× 3.14 ÷ 2+4× 6 ÷ 2 =18.28 (cm 2).

Solve the problem:

1.( 1/3×3/4- 1/5)÷3/ 10=( 1/4- 1/5)÷3/ 10= 1/20÷3/ 10= 1/6

2.( 1)( 14+ 16)÷( 14+ 16+7+3+4+5+ 1)=60%

(2) Method 1: (14+16+7+3+4+5) ÷ (14+16+7+3+4+5+1)

Method 2:1÷ (14+16+7+3+4+5+1) = 2%1-2% = 98%.

(3) The answer is not unique.

P 10- 1 1

Numbers written directly: 3/22/32/98/97/44/73/716/3153/25/34/15.

Look at the picture and calculate: 2/ 15 4/5 8/ 15

Fill in the blanks:

1. 100、40

2. 1:3

3.270

4. 1、3、2、 1/4、3/2

Options: a, b, a, b, b, b.

Use your head:

1.3/7、3/28

2.3/7、3/4、9/28

P 16- 17

Observe carefully:

Select:

1.a and c

2.B

3.C

Arrange the following groups in descending order:

1. 1 2/3 > 1.66 > 1 16.7%

2.34%> 1/3>0.333

Fill in the form: 3/4 75%

0.575 57.7%

0.34 17/50

Turn the following scores into percentages: 50% 25% 20% 12.5% 5% 4% 2%.

Solve the problem:

1.540 ÷ (44+45+46) = 4 (human) class 1: 4×44= 176 (tree) class 2: 4×45= 180 (tree

2.309÷6 18=50%

3.( 1) Radius = 16÷2=8 (cm) 8×8×3. 142= 100.48 (cm 2).

(2) Radius =6÷2=3 (cm) 6× 6 ÷ 2+3× 3.14 ÷ 2 = 32.13 (square cm).

Page 22-23

It can be easily calculated by a simple method.

1. There is no need to be simple. The answer is 1/24.

2. Simple, the answer is 13.

3. Simple, the answer is 1.

4. Simple, the answer is 48

Fill in the blanks:

1.3/4 0.75 75% 75%

2.5/8 0.625 62.5% 3/5 60%

3. For example: 192 384 576

Use >,, =

Column calculation:

1.[3.09-37/ 12÷( 1. 15+ 1/ 12)]× 10%=[3.09-37/ 12÷37/30]× 10%=[3.09-5/2]× 10%=0.59×0. 1=0.059

2. Let the number B be x, then the number A is 4/7X, x+4/7x = 2 1, X=49, and the number A is 49×4/7=28.

3.12000× 3.14 %× 3+12000 =13130.4 (yuan)

4.1200-1200× 99.5% = 6 (person)

Write the positions of various animals in the picture: snail (0,7), chicken (4,6), crab (8,6), puppy (1 2), rabbit (5,0).

Page 28-29

Draw, calculate and write:

This topic is sketched, with an area of 12 square centimeter. Pay attention to the vertex position after rectangle, trapezoid and parallelogram are drawn.

Ratio length:

1. The length is equal, because the sum of the semi-perimeters of two small circles is equal to that of a big circle.

2. The lengths of the three routes in the figure (1) are exactly one length plus one width, so they are the same length; In Figure (2), 1 and 2 are equal in length, which is half of the circumference of the great circle; 3 is the diameter; Not as long as in Figure (3).

Solve the problem:

1.9÷25=36%

2.(700-280+350)÷700- 1= 10%

For the same distance, speed is inversely proportional to time. (8-5)÷5=60%

4. (1) 40× (25%+20%) =18 (person)

(2) 40× (40%-15%) =10 (person)

P34-35

Direct number: 0.92.1.28 0.28 5/8 59/75129 4

Show the colored part of the picture as a percentage: 46% 73%.

Fill in the form: 1.5cm 9.42cm 7.065cm 2.

3 meters 6 meters 28.26 square meters

6 decimeters 18.84 decimeters 28.26 square decimeters

4 decimeters 25. 12 decimeters 50.24 square decimeters

Find the number represented by graph:110158.

Solve the problem:

1.2 ÷ 4/7× 40% = 1.4 (ton)

2.1÷ (110-115) = 30 (hours)

3.18× 80% (1+20%) =12 (yuan)

4. The answer is not unique. We can know that the total cost is 4,000 yuan, food is 65,438 yuan+0,000 yuan, and transportation to 800 yuan. Suggestion: reasonable expenses and slight savings.

P40-4 1

Simplify first, then find the proportion;

1. 1:2000= 1/2000

2.9: 10=9/ 10

3.3: 1=3

Analyze the correspondence between the unit "1" and the specific quantity: the specific quantity corresponding to the unit "1" is105 km; 2/7 corresponds to 30 kilometers.

Look at the formula of line segment diagram:180× 65% =117 (ton)

What laws can you find from the following calculations:

1. Fill in the blanks in the first group: 1/8 246 7/8.

2. Fill in the blanks in the second group: 4/75 4/75.

Use the above method to work out the answer: 435/9245/9981/377/255/1766/37.

Find out the areas of the following colored parts respectively:

1.3.14× (5× 5-3× 3) = 50.24 (square centimeter)

2. Small radius =4÷2=2 (cm) and large radius = 2+3 = 5 (cm) 3. 14× (5× 5-2× 2) = 65.94 (square cm).

Solve the problem:

1. It is more convenient to use equations for this problem.

Solution: If the income of the Zhang family this month is X yuan, the income of the Li family this month is 4 yuan.

10/13 (x-1200) = 4/5x-1000x = 2,500, and the Li family has 2,000 yuan.

This problem can also be done by equation.

Solution: suppose there are x chickens, then there are 200-x rabbits.

2x-4 (200-x) =160x =16040 rabbit.

P46-47

Fill in the figures according to the law:

1. 1/4

2. 1 and 1/2

3.23、46

Fill in the blanks:

1.2:5 2 5 2/5

2. 16:9 4:3

3.25: 1 25

4.4: 3 4/3 times 5

5. 1 1:4 33/ 12 5.5 275%

How many symmetry axes can you draw in the following figure: 1, 3, 2, 2.

The axisymmetric figure around it is abbreviated.

Solve the problem:

1.(1) 2/5×1/8÷1/5 =1/4 (square decimeter)

(2) 2/5 ÷1/8+2/5 ÷1/5-2/5 = 24/5 (square decimeter)

2.84-33 = 51(page) 84 ÷ 2/3-5 = 51(page) 84 ÷ 4/7+3 = 51(page).

3. Assuming all the guesses are correct, that is: 15× 10= 150 (point) (150-90) ÷ (5+ 10) = 4 (.

P52-53

Write the reciprocal of1/91/5212/54/35/23/10. The rule is that two numbers whose product is 1 are reciprocal.

Use a line chart to indicate the meaning of the following scores, with one line for the upper two questions and two lines for the lower two questions. Sketch.

According to the conditions, ask and answer:

1. How many meters did you fill in? Formula: 1000×2/5=400 (m)

2. How high can I fill in last year? Formula:140× (1+1/20) =147 (cm)

3. How many people are there in Workshop B? Formula: 84× (1+25%) = 105 (person)

Fill in the blanks with pictures:

1. 1/2 1/4

2. 1/4 1/ 12

3. 1/5 3/20

Rule: 1/C a/bc

The following table is a statistical table of a class's favorite activities. When answering questions, you should calculate the fan-shaped central angles of 120 degrees, 180 degrees and 60 degrees, and then draw a fan-shaped statistical chart, paying attention to adding titles and illustrations to distinguish them with different shapes or patterns.

Use your head:

Suppose the whole ship, (8× 9-52) ÷ (9-5) = 5 (strips) 8-5=3 (strips).

P58-59

Fill the circle with >, >.

Compared with the product of the first factor, when the second factor is ≥ 1, the first factor is ≤ product; When the second factor < 1, the first factor > product.

Fill in the blanks:

1.20% 80%

2.3/5 24 60% 40% discount

3.40% 250% 150% 60%

4.94%

5.62.5%

Calculate the perimeter and area of the figure below.

1. Radius =60÷2=30 (cm) circumference: 60×3. 14= 188.4 (cm) area: 30×30×3. 14=2826.

2. Radius = 15÷2=7.5 (cm) circumference:15× 3.14+40× 2 =127.1(cm) area: 7.

Solving Equation: Answer 1/4 62 0.7 5/8

Solve the problem:

1. Current time: 1-40% = 60% Time ratio between past and present: 100%: 60% = 5: 3, Speed ratio between past and present: 3: 5.