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Mathematics volume for students in grade one and grade six.
Elementary school sixth grade to first grade enrollment mathematics examination paper.

(Examination time: 50 minutes)

1. Fill in the blanks (each space 1 point, *** 12 point)

1, a story book has pages, Xiaohua has read it for 8 days, and there are pages. Xiaohua reads () pages every day on average.

2. If A and B are two natural numbers, A = 2× 7× 3 and B = 2× 3× 5, then the greatest common divisor of A and B is

(), the least common multiple is ().

3. The approximate value of a six-digit number rounded to ten thousand digits is 600000, the maximum number is (), and the minimum number is ().

The picture on the right shows that the number of pens bought is directly proportional to the amount of money payable.

If you buy five such pens, you should pay () yuan.

5. It takes 15 days for three people to finish a job, and () days for five people to finish the job.

6. The ratio of the shadow area to the large rectangular area in the picture on the right is ().

7. The rectangle has a circumference of 25 cm, an aspect ratio of 3:2 and an area of ().

8. The side length of a cube is12cm. Saw a cuboid block with a length of 5cm, a width of 4cm and a height of 2cm, and at most it can be sawed into () blocks.

9. Two ferries, A and B, set off from the north and south banks of the river at the same time, heading in opposite directions, and met for the first time at 90 meters on the south bank. After the encounter, the two ships moved on. When Ship A arrived at the North Shore and Ship B arrived at the South Shore, they all returned immediately and met for the second time at 50 meters on the North Shore. It is known that the speed of the two ships is constant and the river is () meters wide.

Second, multiple-choice questions (fill in the serial number of the correct answer in brackets) (65438+ 0 points for each small question, ***6 points)

1, after the goods are shipped, the remaining amount is the same. It turns out that these two piles are relatively ().

(1) a, b, the same amount of pile. 4 not sure.

2. The base area and volume of a cuboid and a cone are equal, and the height of the cuboid is the height of the cone ().

① ② Triple ③ Equal ④ Uncertain.

3. Xiaohua wants to help her mother do the following things at the weekend: it takes 20 minutes to wash clothes with the washing machine; It takes 6 minutes to sweep the floor; It takes 10 minute to clean the furniture; It takes five minutes to dry the clothes. After reasonable arrangement, it will take her at least () minutes to finish these things.

①2 1 ②25 ③26 ④ 4 1

4. Party A and Party B run 100 meter race. When Party A reaches the finish line, Party B is 20 meters behind Party A ... If the speed of the two people remains the same, the starting line of Party A should be moved back () meters so that both parties can reach the finish line at the same time.

① 16 ② 20 ③ 25 ④ cannot be determined.

There are two parks, a park and b park. The ticket price of Park A is 20% lower than that of Park B.. On May 1 day of this year, the number of visitors in Park A was half that in Park B. The ticket income of the two parks on this day was compared ().

① There is no contrast; ② A is as much as B; ③ A is 20% less than B; ④ A is 20% more than B.

6. Two home appliance supermarkets, Party A and Party B, carry out promotional activities, with all products in supermarket A being "10% off" and products in supermarket B being "10% off".

"Buy ten and get one free" (that is, ten yuan for goods and one yuan for goods). For customers, it is more beneficial.

() supermarket.

① A, B and C are all the same; 4 not sure.

Third, the calculation problem (* *12 points)

1, solve the equation (3 points for each small question, ***6 points)

x÷0.4-0.4=4.4 12 := x:

2. Off-type calculation (simple calculation if possible) (3 points for each small question, ***6 points)

0.44×27+2.7×5.7-0.27

Four, the operation problem (***4 points)

The school playground is120m long and 60m wide.

Choose the correct proportion and draw it in the blank on the right.

Draw a plan of the playground. (4 points)

(Indicate the ratio of length and width and the number of centimeters on the drawing)

Verb (abbreviation of verb) application problem (4 points for the fourth item, 3 points for the other items, *** 16 points)

1, Master Zhang and Li Shifu work 8 hours a day, and Li Shifu processes 120 parts, which is 20% more than Master Zhang. How many parts does Li Shifu process more than Master Zhang?

2. Both Party A and Party B come from both sides, and along the way, Party A meets Party B.. If A walks 4.5 kilometers per hour, B can walk the whole distance in 5 hours. How many kilometers is it between A and B?

3. Aunt Wang's cabinet air conditioner is 0.4m long, 0.2m wide and 1.7m high. In order to prevent dust, Aunt Wang is going to cover this air conditioner with a rectangular cover made of cloth. Please help her figure out how many square meters of cloth is needed to make this cover. (Seam * * needs 0.2 m2 of cloth).

Li Cheng

expense

3 km and below

10.00 yuan

More than 3 km, one way, each additional 1 km.

1.60 yuan

More than 3 km, round trip, each additional 1 km.

1.20 yuan

4. See the table on the right for the taxi charging standard in a city.

(1) Wang Ping takes a taxi from home to the Children's Palace, * * * *

19.6 yuan, how many kilometers is it from Lili's home to the Children's Palace?

(2) Mr. Wang went to the Education Bureau 5 kilometers away from the school, got a message and went back to school immediately. How can he get a better ride experience? How much do I have to pay for taking a taxi?

5, the state stipulates that individuals should pay personal income tax for publishing articles and books. The calculation method is:

(1) The remuneration is not higher than that of 800 yuan, excluding tax; (2) If the remuneration is not more than 4,000 yuan higher than that of 800 yuan, the part exceeding that of 800 yuan shall be taxed at the rate of 14%; (3) If the remuneration is higher than 4,000 yuan, pay 12% of the total remuneration.

Recently, Mr. Shen received a draft fee and paid 420 yuan's personal income adjustment tax in accordance with the above provisions.

Q: How much did Mr. Shen get for this manuscript?