Beijing normal university sixth grade mathematics final exam examination questions one
First, writing. (2 points)
Requirements: ① The roll surface is neat; (2) neat handwriting; ③ The lines are neat.
Second, calculation. (***29 points)
1, write directly. (5 points)
728-299= 3.6? 25%= 0.25? 4? 0.25? 4= 0.23=
8- 1.3- 1.7= 0. 13+ +0.87=
2. Calculate the following questions as simply as possible. (18)
884? 34+ 17? 2 1 1.25? 3.2? 0.25
( )? + 4? 5+39?
4.2- 1.38+5.8-4.62 2? - ? 2w
Third, fill in the blanks. (2 points for each question, ***24 points)
Last year, the total grain output of our county reached 224,800 tons. Wan? The work unit is () ten thousand tons.
2. The warning water level of a reservoir dam is 18m. If the part exceeding 18m is recorded as? +? , write down the part below 18m as? -? . After a rainstorm, the water level of the reservoir dam reached 18.5m, which should be recorded as () m, and the water level dropped to 17.5m the next day, which should be recorded as () m.
3. Fill in the appropriate units of measurement in the following brackets:
Wang Hua ate a piece of bread and drank 250 () milk at home this morning, and then walked 15 () to the school 800 meters away from home.
Xiao Bing's mother rented a shop in the street and opened a clothing store. I rented one yuan a month last year. The monthly rent this year has increased by 20% compared with last year. The monthly rent this year is () yuan. If a=500, then the monthly rent this year is () yuan.
5, 16 is less than 20 ()%; 24 meters is more than () meters.
6. The figure on the right is an isosceles right triangle with an area of () cm2. When rotating around AB, the volume of the formed body is () cm3.
7. The floor plan is marked with. The digital scale of this plan is (). The distance between a and b measured on the plan is 3.5cm, while the actual distance between a and b is () m.
8. The length, width and height of a cuboid are 8m, 5m and 3m respectively. Its surface area is () square meters and its volume is () cubic meters.
9. Uncle Li opened a restaurant in the city. The turnover last month was 20 thousand. According to the regulations, he must pay business tax at 5% of the turnover. He should have paid () yuan in business tax last month. It is estimated that the turnover this month will increase by 20% compared with last month, and he may pay () yuan more business tax this month than last month.
10, 30 people went to the meeting and stayed in the hotel. 1 1 The room (3 rooms and 2 halls) has just been opened. They live in a triple room, and () people live in a double room.
1 1, put one delta with three sticks, two deltas with five sticks, and three deltas with seven sticks. In this way, you can set five deltas with the () bar and set the () delta with 2 1 bar.
The decimal unit of 12 is (). When a is (), the reciprocal of this number is the smallest composite number.
Fourth, choose. (Fill in the letter code of the correct answer in brackets) (65438+ 0 point for each question, ***6 points)
1, which of the following numbers? 5? The representation of the maximum quantity is ().
a、70.5 B、5.02 C、D、50%
3, a store? Bonus sales activities? : Where the purchase amount exceeds 100 yuan, you can get a lucky draw opportunity, and the probability of winning the prize is, that is, the lucky draw opportunity ().
You are sure to win the prize. You may win a prize.
C, 9 out of 10 people won the prize, and 9 out of 10 people won the prize.
4. Two quantities in the following questions, () are directly proportional.
A, Xiaodong's height and weight b, the number of meters and days of canal construction every day.
C, the radius and area of the circle d, the number of copies of China Youth Daily and the amount of money subscribed.
The salaries of all employees in a company are as follows. The data that best represents the general salary level of employees in this company is ().
Employees are divided into general manager, deputy general manager, department manager and ordinary employees.
Number 1 2 3 32
Monthly salary/RMB 6000 5000 4000 2000
A, 2000 yuan b, 2500 yuan c, 40000 yuan d, 5000 yuan.
6. The following statement: ① The number of A is 20% more than that of B, then the number of B is 20% less than that of A; ②a2 must be greater than a;
(3) The lateral expansion of the cylinder is not necessarily rectangular; ④ Negative numbers are all less than 0. The correct statement is ().
a、 1 B、2 C、3 D、4
Fifth, apply knowledge to solve problems. (5 points for each question, ***30 points)
1, 27 people went to other places to visit and study by car. There are two kinds of vehicles available for rent: one can take 8 people and rent 600 yuan every day; The second car can take four people, and the rent is 400 yuan every day. How can they rent a car to ensure that they spend the least money a day?
2. Is it held at school? June 1st? There are 30 students in Class 6 (1), 6 more than Class 6 (2). How many people in Class Six (2) participated in the performance? (Equation solving)
3. On the right is the statistics of the number of fruit trees planted in Uncle Wang's orchard. He planted 300 fruit trees in his orchard. Please ask a math problem and answer it according to the information in the picture.
In order to fight drought, Xiaoping's family dug a cylindrical reservoir with a bottom radius of 5 meters and a depth of 2 meters, and painted the inner wall and bottom of the reservoir with cement to prevent water leakage. After a rainstorm, Xiaoping walked around the pool and measured the water depth in the pool as1.2m.
According to the above information, ask a math problem and answer it.
6. Party A and Party B dug ditches together for two days. In order to ensure the completion of the task on time, Party C was hired to dig together. Three people dug for another two days to complete the whole project, and they were paid by 800 yuan. How much should they share with each other? Everyone's work efficiency is the same.
Beijing normal university sixth grade mathematics final exam examination questions two
First, writing. (2 points)
Requirements: ① Write in blue and black ink. ② The roll surface is neat. (3) the right size. (4) neat lines.
Fill in the blanks. (16)
1, hello, I'm Cong Cong, I'm in grade six, I'm 1.45 () and I weigh 38 (). My home is about 1 () from school, and it is about 18 () on foot. The area of my house is about 130 (). I sleep about 9 hours every day, accounting for ()% of a day. I wish you all a happy day and a smooth exam!
The counting unit of 2 and 3.02 is (), including () 0.00 1.
3. Divide the one-meter-long rope into seven sections on average, each section is () meters long, and each section accounts for () of the total length.
4. Rewrite 1496700 to use? Wan? The unit number is () ten thousand, and the mantissa after omitting ten thousand digits is about () ten thousand.
5, more than 40 meters is () meters; 60 is 20% more than ().
6. After splicing a pair of circular scissors into an approximate rectangle, the circumference is increased by 6 cm. The area of this circle is ().
7. Class 6 (5) is short of two people, whether it is three, four or five. There are at least () students in Class Six (Five).
8, 750mL=( )dm3 4.25 hours = () hours () minutes.
9. Cut a cylindrical iron block with a base diameter of 4dm and a height of 3dm into the largest cone, and the volume of the cone after cutting is () dm3. Scrap iron can also be cast into a cone like this.
10, Xiaohong has 1 yuan and 32 50-cent coins in her piggy bank, and * * * has 20 yuan. Then there are () 5-corner pieces.
1 1, 0.83, 83%, 0.83 and these four numbers, the biggest one is that (), () and () are equal.
12, Lele's seat in the class can be abbreviated as (3,4), Huanhuan is two rows behind Lele, and Huanhuan's seat can be abbreviated as ().
13. On the map, the distance between A and B is 6 cm. Then draw this distance on a map with a scale of kilometers, which should be () cm.
14,0.4: The ratio to the simplest integer is (), and the ratio is ().
15, a cuboid whose length, width and height are a cm, b cm and h cm respectively, and its volume is () cm 3.
16, nonzero natural numbers a and b, if A- 1=B, then the least common multiple of a and b is ().
17, in order to describe the patient's temperature changes, statistical chart () should be selected, and in order to reflect the relationship between various expenditures and the total expenditure of this month, statistical chart () should be selected.
Third, the judge. (Right? , wrong number? ) (5 points)
1, given that 5x-3y =0, then x and y are proportional. ( )
2. The winning rate of a lottery ticket is 1%. If you buy a lottery ticket of 100, he will definitely win the prize. ( )
3、800? 300=8? 3=22 ( )
There are four red balls and four blue balls of the same size in the box. If you want to kill two balls, you must kill at least three balls. ( )
5. The highest temperature in a certain place is 2℃ and the lowest temperature is -5℃. The temperature difference of this day is 3℃. ( )
Fourth, choose. (Fill in the brackets with the correct answers to the following questions) (5 points)
1, 34 of A equals 60% of B, then A () B.
A. greater than b equals c less than.
2, a commodity is 15% off, the following statement is correct ().
A. cheaper than the original price 15%. B.it's 85% cheaper than the original price. C. sell at 15% of the original price.
3. The area of two circles is not equal because () is different.
A. center position B. radius C. Pi
Divide a batch of rice into two piles, the first pile has tons, and the second pile accounts for this batch of rice. Compare two piles of rice ().
A, the first pile is more than B, the second pile is more than C, and both piles are as much as D, which is uncertain.
5. As shown in the figure, there are two triangles ① and ② in the rectangle, so the area relationship between the two triangles ① and ② is ().
a、S①& gt； S② B、S①
C, S 1 = S2D, uncertain
5. calculation. (34 points)
1, write directly. (10)
1? 0. 1? 0. 1= ? = 2. 1+0. 19 = - =
1.97? 25%? 4= (4.83- )? 0= 370+730 = 0.22 =
0.9+99? 0.9= 10-0.92=
2. Off-mold calculation. (What can be simplified should be simplified) (18 points) xKb 1. C om
2.4? 0.75+7.2? 2.4 ? +8?
1 10+56? ( - ) 1.25? 2.5? 3.2
Sixth, solve practical problems. (30 points)
1. Xiaohong has some rice. Dad said? Eat 20%? Mom said:? If you buy another 30 kilograms, it will be as much as before. ? How many Jin of rice does Xiaohong have? (5 points)
2. one kind? 84 disinfectant? The usage of is as follows:
Disinfection target stock solution: how to use water
Soak fruits and vegetables in 1:80 for 40 minutes.
Bathtub and other sanitary ware 1:50 soak and scrub for 30 ~ 60 minutes.
Grandma Wang took 60 ml of this stock solution to make a solution and soaked the fruit for disinfection. How many milliliters of water does Grandma Wang need?
3. A supermarket engages in a certain brand of washing powder on weekends? Buy four and get one free? If this kind of washing powder is per bag 14 yuan, now you pay 4 bags of money to buy back 5 bags of washing powder. What is the average price of each bag of washing powder?
The distance between a and b is 480 kilometers. Two cars, A and B, leave from A and B relatively simultaneously. Three hours later, two cars met, one with a speed of 82 kilometers per hour. How many kilometers per hour is the B train?
5. A factory plans to produce a batch of parts in April (30 days), with an average of 400 pieces per day to complete the task. In fact, 3000 units were produced in the first six days. According to this calculation, how many days will it take to complete the original planned task? (5 points)
6. Make an uncovered cylindrical barrel with a bottom diameter of 4 decimeters and a height of 4 decimeters. How many square decimetres of iron sheet do you need at least? How much water can this barrel hold at most? (The thickness of iron sheet is not counted, and the final result is kept as an integer. )
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