First, fill in the blanks. (***24 points)

1. The number of books and paper for binding exercise books is as follows: (7 points)

Base1234 56 …

Number of sheets (sheets) 25 50 75100125150 ...

(1) In the table, (number) and (number of sheets) are two related quantities.

(2) Find two groups of corresponding numbers randomly in the table, and write their ratios (25: 1) and (50:2) respectively, both of which are (25).

(3) Because the ratio (ratio) of the number of books bound to the number of sheets used is fixed, the number of books bound is directly proportional to the number of sheets used.

2. The car travels a certain distance, and the distance and time per hour are as follows: (6 points)

Distance traveled per hour (km) 270 135 90 60 45

Driving time (hours) 1 234.56

(1) In the table, (distance traveled per hour) and (time traveled) are two related quantities.

(2) Find two groups of corresponding numbers in the table and calculate their products (270× 1=270) and (135×2=270) respectively.

(3) Because the product of the distance traveled per hour and the time traveled is constant, the distance traveled per hour is inversely proportional to the time traveled.

3. Among the three quantities of each question below, when one of them is fixed, what is the ratio of the other two quantities?

(1) scale, the distance on the map and the actual distance. (3 points)

When the scale is fixed, (actual distance) and (distance on the map) are in (positive) proportion;

When the distance on the map is constant, (actual distance) is inversely proportional to (scale);

When the actual distance is constant, (the distance on the map) and (the scale) are in (positive) proportion.

(2) unit price, quantity and total price. (3 points)

When the unit price is fixed, (total price) and (quantity) are in (positive) proportion;

When the quantity is fixed, (total price) and (unit price) are in (positive) proportion;

When the total price is fixed, (unit price) and (quantity) are inversely proportional.

4. It is known that X is directly proportional to Y, and Y: X = 14. Complete the table below. (0.5 points for each blank, ***3 points)

y 14 2 1 56 1 12 70 9.8

x 1 1.5 4 8 5 0.7

5. The formula of the circle is expressed in letters, which is the (inverse) ratio of C =(πd), (π) and (d). (2 points)

Second, judge whether the two quantities in each of the following questions are proportional. Proportion, what proportion is written? (10)

1, Xiaoming is tall and heavy. ............................................ (disproportionate)

2. People's age and height. ................................................ (disproportionate)

3. Subscribe to the number of copies of the evening paper and the amount of money. ................................. (proportional)

4. The circumference, pi and diameter of a circle are fixed. .......................................... (inversely proportional)

5. The trapezoid has a certain area, upper bottom and height. ................................... (disproportionate)

6. Square of the area and radius of a circle. ................................. (proportional)

7, the wheel radius is certain, the distance and the number of laps. ..................................................................................................................................................................................

8. A rectangle has a certain circumference, length and width. ................................... (disproportionate)

9, the ratio is certain, the first and last items of the ratio. .............................. (proportional)

10, the total number of tablets is certain, the number of tablets per bag and the number of bags. ..................................................................................................................................................................................

Third, multiple choice questions. (Per grid 1 minute, ***6 points)

1, if x: 4 = 5: y, then x and y(B).

A, proportional to B, inversely proportional to C, out of proportion

2, x and y are two related quantities.

(1) If x=8y, then x and y(B).

(2) If x: 5 = y, then x and y(A).

(3) If x-3 = y, then x and y(C).

A, proportional to B, inversely proportional to C, out of proportion

3. The two quantities in the following sentence are (c) and (e).

A, square area and side length;

B, the triangle has a certain bottom and a high area;

C, numerator is definite, denominator and fractional value;

D, the minuend is certain, and the sum of the minuend is different;

E, the total price and number of copies of "Math Newspaper for Primary School Students"

Fourth, judge whether the two quantities in each of the following questions are proportional, what proportion, and explain the reasons. (2 points for each question, *** 10)

1, certain working efficiency, working hours and total work.

A: In direct proportion.

2, the reduction is certain, the sum and difference of the minuend.

A: Out of proportion.

3. The cylinder has a certain volume and a high bottom area.

A: It is inversely proportional.

4. The height, side area and bottom radius of the cylinder.

A: In direct proportion.

5. The side length of a square is fixed, and the area and side length of the square.

A: Out of proportion

5. Operate as required and answer the following questions. (*** 18)

1, Xiaoming prepared syrup according to certain requirements, recorded the dosage of syrup, and drew the following table.

Observe the relationship between sugar and the weight of syrup in the table and fill in the blanks. (3+2+2+2=9 points)

Sugar (g) 2468 10 …

Sugar water (g) 1632 48 6480 …

(1) According to the data in the table, draw the points corresponding to the weight of sugar and syrup in the figure below, and then connect them in turn.

(2) Is the weight of sugar needed to make this syrup directly proportional to the weight of water? What makes you judge?

A: In direct proportion.

(3) How many grams of sugar do you need to add to make 320 grams of this syrup?

320÷( 16÷2)

=40 (grams)

A: 40 grams of sugar.

2. Hongxing Machinery Factory plans to process a batch of machine parts, and the quantity and time required for processing per hour are shown in the following table.

Observe the relationship between sugar and the weight of syrup in the table and fill in the blanks. (3+2+2+2=9 points)

Work efficiency (unit) 10 20 30 40 50 60

Time (hours) 60 30 20151210

(1) According to the data in the table, draw the points corresponding to work efficiency and time in the figure below, and then connect them in turn.

(2) What is the ratio of work efficiency to time? What makes you judge?

A: It is inversely proportional.

(3) If it takes 6 hours to complete, how many pieces will be processed per hour?

60× 10÷6

= 100 (piece)

Answer: Processing 100 pieces per hour.

Sixth, the application problem. (4 points for each question, ***32 points)

1. Bind a batch of books. If each book has 24 pages, you can bind 500 books. Now each book has 30 pages. How many books can you bind?

24×500÷30

=400 (Ben)

A: You can bind 400 volumes.

Xiaoming bought four identical exercise books and used 4.8 yuan. How many such exercise books can 3.6 yuan buy?

3.6÷(4.8÷4)

=3 (Ben)

You can buy three copies.

The school needs to decorate a conference room. It takes 720 square bricks to pave the floor with a square brick with a side length of 0.4 meters. If it is paved with a square brick with a side length of 0.3 meters, how many square bricks do you need?

0.4× 0.4× 720 ÷ (0.3× 0.3) =1280 (square)

4, a pile of coal, originally planned to burn 12.5 tons a day and burn it in 32 days. If you save 2.5 tons a day, how many days can this pile of coal actually burn?

2.5 × 32 ÷ (12.5-2.5)-32 = 8 (days).

5. Build a 3500-meter-long expressway, which has been built for 2 100 meters in three days. At this rate, how many days will it take to finish the rest?

(3500-2100) ÷ (2100 ÷ 3) = 2 (days)

□ I

6. A barrel of oil weighs 34 kilograms. After pouring the oil, the barrel weighs 26 kilograms. How much does this oil drum weigh?

34-(34-26) ÷ = 2 (kg).

7. A cement factory shipped a batch of sand and piled it into a cone. The weight of sand per cubic meter is about 1.7 tons. How many tons does this pile of sand weigh? (Keep the whole ton as a figure)

12.56 ÷ 3. 14 ÷ 2 = 2cm, 3.14× 2×1.5×1.7 =/kloc-

8. During the summer vacation, Xiaoming traveled by plane with his father, mother and grandmother. They found two airlines. Company A stipulates that one of them will be charged as an adult ticket, and the other three will be charged at half the price. Company B stipulates that all children and adults are charged at full price, just as the original prices of these two airlines are the same. If you follow the principle of spending less money, which company should you choose to buy tickets economically? (Please write down the calculation process)

A:1+3÷ 2 = 2.5; b:4×= 2； 2.5 & gt2 ; So choose company B.

Sixth grade mathematics book 5 unit 1 "positive proportion and inverse proportion" test reference answer

First, fill in the blanks. (***24 points)

1, number, sheet number, ellipsis, ellipsis, 25; Ratio; In direct proportion.

2, speed, time, 270, 270, product, inversely proportional.

3.( 1) Distance on the map, actual distance, positive; Actual distance, proportion and reciprocal; Distance on the map, scale, positive.

(2) Total price, quantity and positive number; Total price, unit price, positive; Unit price, quantity, reversal.

4. Uplink: 2 1, 1 12, 9.8; Downline: 1, 4, 5.

5.Pi × radius; Pi, radius, out of proportion.

Second, judge whether the two quantities in each of the following questions are proportional. If yes, what is the proportion of writing? (10)

1, out of proportion; 2. Out of proportion; 3. Directly proportional; 4, disproportionate; 5. Out of proportion;

6. Directly proportional; 7. Directly proportional; 8, disproportionate; 9. Directly proportional; 10, inversely proportional.

Third, multiple choice questions. (Per grid 1 minute, ***6 points)

1、B、2、A、A、C、3、B、E .

Fourth, judge whether the two quantities in each of the following questions are proportional, what proportion, and explain the reasons. (2 points for each question, *** 10)

1, in direct proportion; 2. Out of proportion; 3. inversely proportional; 4. Directly proportional; 5. Out of proportion.

5. Operate as required and answer the following questions. (*** 18)

A little.

Sixth, the application problem. (4 points for each question, ***32 points)

1, 24×500÷30=400 (Ben).

2,3.6 ÷ (4.8 ÷ 4) = 3 (Ben).

3.0.4× 0.4× 720 ÷ (0.3× 0.3) =1280 (block).

4.12.5× 32÷ (12.5-2.5)-32 = 8 (days).

5. (3500-2100) ÷ (2100 ÷ 3) = 2 (days).

6,34-(34-26) ÷ = 2 (kg).

7, 12.56÷3. 14÷2=2 cm, 3.14× 2×1.5 ÷ 3×1.7 =/kloc.

8. Answer:1+3÷ 2 = 2.5; b:4×= 2； 2.5 & gt2 ; So choose company B.