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Examination Paper and Answers of Mathematics Joint Examination in Jiaochuan Academy
(Time/kloc-90 minutes out of 0/20 minutes)

1. Fill in the blank: (3 points for media, 39 points for * * *)

1. There are five bags of sugar, and the sum of any four bags exceeds 80, so the sum of the five bags of sugar is at least _ _ _ _.

2, in the five numbers 0, 2, 5, 7, 9, choose four non-repetitive numbers to form a four-digit number divisible by 3, where the difference between the largest and smallest four digits is _ _ _ _.

3. The product of three different prime numbers is exactly 7 times their sum. These three prime numbers are.

4. The prime factor of decomposition11111is _ _ _ _ _ _.

5. Compare the sizes of the following four formulas and connect them with |:111+1/29; 1/ 12+ 1/25; 1/ 13+ 1/2 1; ________________________________________

6. Use the length of 28 _ _ _ _ _.

7. In the parallelogram, f is the midpoint of BC side, AE= 1/3AB,

The area of triangle AEF is _ _ _ _ _ _ of parallelogram.

8. The sugar content is 6% 900g. To increase the sugar content to 10%, it is necessary to add _ _ _ _ _ grams of sugar.

9200 pairs of shoes, the commission fee is 65438+ 05% of the total sales. After all the sales are finished, the store sends RMB to the shoe factory. The price of this pair of shoes is _ _ _ _ _ _ yuan per pair.

10, there are two caring teams, and the number ratio of the first team and the second team is 5: 3; After transferring 14 of the first team to the second team, the number of the first team and the second team is 1: 2. It turns out that Class Two has _ _ _ _ _.

1 1. As we all know, a container is filled with water and has three balls, big, medium and small. Submerge the ball into the water for the first time, then the ball into the water for the second time and the ball in the middle into the water for the third time. Now we know that the water spilled for the first time is 1/4 for the second time, which is 2.5 times that for the third time, and the volume ratio of large, medium and small balls is _ _ _ _ _ _ _ _.

12, the figure below is composed of many cubes with the length of 1cm, and its surface area is _ _ _ _ _ _ _ _.

13, among 60 students in a certain grade, 40 like playing table tennis, 45 like playing football and 48 like playing basketball. There are 22 people who like all three sports. At most _ _ _ _ _ _ people in this grade are not interested in these three sports.

Second, multiple-choice questions: (3 points for each question, *** 18 points)

1, between 1 and 100, the greatest common factor of * * * number and 24 is 8.

a、 12 B、 1 1 C、9 D、8

2. A red line and a blue line have the same length. Cut off the red line by 4/5 meters, and the remaining red line is longer than the blue line. The original two wires are (A, longer than 1 m, B, exactly 1 m, shorter than 1 m).

3. The number of A is less than that of B 1/5, and the number of B is ()% more than that of A. ..

A, B, 25, 40

45, then the product increases by 200, and this factor is ().

A, 40 B, 4 C, 1-9 will do.

5 kg, this iron originally weighed () kg.

a、3a C、3/2a D、2/3a

6. There is a house, which is12m long and 8m wide. A dog was tied to a corner outside the house by a rope 14 meters long. The maximum possible range of dog activities is () square meters.

a、492.98 B、555.78 C、5 19.44

Three. Calculation questions: (3 points for each question, *** 15 points)

1、 1-2+3-4+5-6++2007-2008+2009 2、 1/3+ 1/6+ 1/ 10+ 1/ 15+ 1/2 1+ 1/28

3、(4/7× 10/9×4/ 1 1)÷(2/ 1 1+2/7+5/9) 4、 〔3.5-÷ 22/7

5、76×( 1/23- 1/53)+23×( 1/53+ 1/76)-53×()

Four. Graphic title: (57 points for the first question, *** 12 points)

1. In the left figure, O and C are the midpoint of OB. The shaded area is 14∏. Find the area of triangle OAB.

2. It is known that the ratio of △ADE, △CDE and square ABCD area is 2: 3: 8. And the area of △BDE is 4 square meters, what is the area of quadrilateral ABCD?

Verb (abbreviation of verb) comprehensive application: (1 and 2 questions 5 points, 3 and 4 questions 6 points, 5 and 6 questions 7 points, ***36 points)

1. Glass Company entrusts a transportation company to transport 500 glass bottles. The freight rate agreed by both parties is 1.5 yuan per piece. If one is broken, not only will the freight not be compensated, but it will be compensated 13.5 yuan. As a result, the transportation company took a handling fee of 705 yuan and asked how many glass bottles were broken during handling.

2. With the cooperation of master and apprentice, a batch of parts can be processed in five days, in which the work done by apprentice A is12 of apprentice B and that of apprentice B is12 of master. How many days does it take for disciple A to do 2 by himself?

Small supermarket has the same amount of milk candy and fruit candy. Toffee 10 yuan, 2 1 kg. The clerk accidentally mixed two kinds of candy. According to the income of 10 yuan 1.5 yuan, how many Jin of milk candy and fruit candy does the small supermarket have?

4. There is a cylindrical reservoir filled with water, and its bottom circumference is 62.8 meters. After using some water, the water level is 60 cm lower than when it is full, and the remaining water is just 4/7 of the reservoir volume. What is the volume of this reservoir?

53: 2, the first time was 1/5, and the speed of B increased by 3/ 10, so when A arrived at B, what was the distance between B and A, which was 14AB?

6. On an expressway, the distance between Party A and Party B is 600 meters. Xiao Ming and Xiao Qiang are training for race walking. Xiaoming walks 4 kilometers per hour, and Xiao Qiang walks 5 kilometers per hour. At 8 o'clock sharp, they both set out from Party A and Party B at the same time. 1 minute later, they turned around and walked in the opposite direction. After another 3 minutes, both of them turned around and walked in turn according to the minutes of 1, 3, 5 and 7 (consecutive odd numbers). When did they meet?

Reference answer

First, fill in the blanks:

1、 102 2、767 1 3、3; 5; 7 4、 1 1 1 1 1 = 3 * 7 * 1 1 * 13 * 37 5、 1/ 1 1+ 1/29 > 1/ 13+ 1/2 1 & gt; 1/ 14+ 1/ 19 & gt; 1/ 12+ 1/25 6、49 7、 1/ 12 8、40 9、258 10、 18 1 1、 13: 10:2

12、? 13、4

Second, multiple choice questions

1、D 2、C 3、B 4、B 5、B 6、A

Third, the calculation questions:

1、 1005 2、3/4 3、2 4、 1/4 5?

Fourth, graphic questions:

1、 16 2、52

Comprehensive application of verbs (abbreviation of verb)

1、 1、3 2、5.5 3、36 4、439.6 5、?