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In 2005, the sixth grade first volume unit 4 mathematics examination paper.
The sixth grade mathematics first volume unit 4 examination questions (Beijing Normal University Edition)

Fill out a form. (28 points)

1. 10: 36 is pronounced as ().

2.():5 = 9/ 15 = 27 ÷ () = ()% = () process.

3. The side length of a square is a, the ratio of side length to perimeter is (): (), and the ratio of side length to area is (): ().

4.A is 8.4, B is 3.6 less than A, A: B = (): (), and the ratio is ().

5. The ratio of the degrees of the three internal angles of a triangle is 4: 3: 2, and the degrees of these three internal angles are (), () and () respectively, which is a () triangle.

6. A rectangle with a circumference of 36㎝ and an aspect ratio of 7: 2 has an area of () square centimeters.

7. A brine, the ratio of salt to water is 1: 10. At present, this kind of brine is * * * 550g, of which () grams is salt and () grams is water.

8. The side length ratio of two squares is 4: 1, so their perimeter ratio is (): (), and their area ratio is (): ().

9. There are more girls than boys in a class 1/4, so the ratio of girls to boys is (): (), and the ratio of boys to girls is (): (); The ratio of the number of girls to the number of students in the class is (): ().

10. From place A to place B, it took Xiao Li 4 hours and Xiao Zhang 3 hours. The time ratio between Xiao Li and Xiao Zhang is (): (), and their speed ratio is (): ().

1 1. Alloy of iron and zinc, in which iron accounts for 2/9 of the alloy, then the mass ratio of iron and zinc is (): (); The mass of alloy is () times that of zinc.

12. The quotient of a divided by b is 2, so the simplest integer ratio of a and b is (): ().

13. 100g salt is put into 5kg water, and the mass ratio of salt to water is (): (). In 5% brine, the mass ratio of salt to water is (): ().

Two multiple-choice questions (choose the serial number of the correct answer) (5 points)

(1) Compared with the former and the latter ()

A. None of them can be 0 b. All of them can be 0 c. The former item can be 0 d. The latter item can be 0.

(2) The school bought 380 books and distributed them to three classes according to a certain proportion. Their ratio may be ().

A.2:3:5 B.2:3:4 C. 1:2:3

(3) The ratio of 3/5: 0.2 to the simplest integer is ().

A. 1:3

(4) It takes 30 seconds to saw the stick into 3 segments and () seconds to saw it into 6 segments.

A.60 B.75 C.90

(5) The highest attendance rate can reach ()

A. 10 1%

Three. Simplify the following ratio (14 points)

4.2:7/4 120:72 1/7: 1/49 1: 1/3

36 minutes: 1 hour 308 cubic centimeters: 2 cubic decimeters 1 square meter: 4320 square centimeters.

4. Find the ratio of the following ratios. (15)

40:28 1.6:2.5 7/2:8.4 5/2: 1 1/2 9.2:2.05

Verb (abbreviation for verb) solves problems (38 points)

(1) Three pig farmers A, B and C * * * raise 840 pigs, and the number ratio of pigs is 9:10:1. Ask for the number of pigs per household.

(2) The perimeter of the rectangular playground is 420m, and the length-width ratio is 4: 3. What is the area of this playground?

(3) Xiaohong, Xiaogang and Xiaohua collect stamps. The ratio of the number of stamps collected by Xiaohong and Xiaogang is 2: 3, and that of Xiaogang and Xiaohua is 6: 13. Three people collected 230 stamps. How many stamps have they collected?

(4) For a long style, the ratio of its length to width is 4: 3: 2, and the sum of its sides is 108㎝. What is the surface area and volume of this cuboid?

(5) For a batch of parts, if the ratio of the number of processed parts to the number of unprocessed parts is known as 1: 3, then 150 parts are processed, and the ratio of the number of processed parts to the number of unprocessed parts is 2: 3. How many parts are there in this batch?

(6) 390 yuan, the price of a suit and trousers is 5/8 of that of a coat. How much are these trousers and this coat?

Additional questions: (each course 10)

1. Xiaohong has 60 stamps and Xiaoming has 52 stamps. How many stamps does Xiaohong give Xiaoming, and the number ratio of stamps between Xiaohong and Xiaojun is 9: 5?

Two cars, A and B, start from two places and drive in opposite directions at the same time. The distance is 900 kilometers, and the speed ratio of the two cars is 2: 3. Meet in six hours. What's the speed of the two cars?

There is a bookshelf with two layers of books on it. The ratio of the number of upper books to the number of lower books is 5: 6. After taking 30 books from the upper level to the lower level, the number ratio of books in the upper and lower levels is 3: 4. How many books are there on the upper and lower floors?

4. A triangle, one of its internal angles accounts for 1/6 of the sum of internal angles, and the other two angles are distributed according to the residual degree of 2: 3. What triangle is this triangle?

5. There are a batch of parts. Master Zhang handled all 1/6, Li Shifu handled the rest 1/4, and Master Sun handled fewer parts than Master Zhang 1/4. At this point, there are still 980 parts unprocessed. How many parts are there in this batch?

6. There are two steel pipes, the first one is 54 meters long and the second one is 50 meters long. After using two steel pipes with the same length, the remaining length of the second steel pipe is 7/9 of the remaining length of the first steel pipe. How long is the first steel pipe after a period of use?