1. Fill in the blanks (one question 1 point, *** 12 point)
1. 10098400 is pronounced as (), and rounded to ten thousand digits is ().
2. When a number is divided by 2, 3 and 7, the result is 1, and the minimum number is ().
3. The product of two prime numbers is even, and one of them must be ().
4.20kg is 20% lighter than (). () m is longer than 5m.
5. Four times the number of A is the number of B, and the ratio of A to B is ().
6. A piece of wire, which is () meters long, is cut and then connected to 4 meters, and the result is longer than the original wire.
7. The average of A and B is 16, and the average of A, B and C is 20, so the number of C can be calculated as ().
8. The price of a commodity is reduced by 10% during the promotion period and increased by 10% after the promotion. At this time, the price of goods is the original price ().
9. Among them, 2.84, 283.3%, 2.8383…, the order from big to small is
.
10.ton = () ton+() kg。
11.A work started in June1was originally scheduled to be completed in one month. In actual construction, the task was completed on June 25th, and ()% was overfulfilled on June 30th.
12. The surface area of a cuboid is 4000 square centimeters. If this cuboid is cut into two equal cubes on average, if two such cubes are put together to form a cuboid, the surface area of this cuboid is at most ().
Second, true or false questions (each question 1 point, ***5 points)
1. Two proportions can form a proportion.
2. The length of the cube is 24cm and the volume is 8cm.
3. Two triangles with equal areas form a parallelogram.
A is longer than B, and B is shorter than A. ..
5. If a>b>0, it must be less than.
Third, the choice (only one is correct, *** 16 points)
1. Circle the following figure with iron wire of the same length, and () has the largest area.
A. triangle b square c rectangle d circle
2. Count, there are () line segments in a * * in the figure.
A.4 B. 6 C. 8 D. 10
3. Given that 4x+6= 14, 2x+2= ()
A. 10 B. 8 C. 6 D. 4
4. A pumpkin weighs about 4000 ()
Cm kg cm cm cm cm cm cm cm cm cm cm cm cm
5. Two strands of rope, A cut, B cut rice, and the remaining wire ()
A.A is shorter than B. A and b are equal in length. C. A is longer than b.d. Not sure.
6. Add 6 grams of salt 14 grams of water to the salt water with a salt content of 30%. The salt content of this brine is ()
A. more than 30% B. equal to 30% C. less than 30%
7. If the number of A is equal to three times that of B, then the number of A () is B.
A.& gtB. = C. & lt
8. If the area of the circle is enlarged by 16 times, the circumference will be enlarged ().
A. 16 times B.32 times C.4 times
Three, the calculation problem (***32 points)
1, write grades directly (5 points)
45 + 38 = ÷3 = 4.2÷0.07 = 1 1× = 0.875×24 =
1÷ = 7.2 × = 8- = 0.25 - = ×0÷ =
(The following three questions, of which the eighth question is 6 points)
2、( - 15.3)× ×2.4 3、 1÷( -0.05×70 )×
4、( × + ) ÷( 1 1- )5、 128× - × 128-40÷
6. What is the quotient of the sum divided by the sum of 1.85?
7. 40% of a number is 10 less than 3 times. Find this number.
8. Look at the pictures and fill in the blanks
Xiaohua rides a bike 5 kilometers away from home.
Borrowing books from the library is free of discount.
As can be seen from the line statistics:
Xiaohua stops on the way to the library ()
Points, borrow books in the library with () points.
From home to library, the average speed
Its speed is () kilometers per hour.
What is the speed to go home from the library?
() kilometers per hour.
Iii. Application questions (4 points for each question, including 7 points for the eighth question and 35 points for * * *)
1. Red Star Machine Tool Factory produced 2600 machine tools this year, 400 more than last year. How many machine tools did it produce last year?
2. It takes 10 hour to fill a pool, 12 hour to fill a pool, and 30 hours to drain a pool. How many hours does it take to fill an empty pool with three pipes open at the same time?
3. Bus A travels 75 kilometers per hour from A to B, and it is expected to arrive in 3 hours, traveling 1 hour. The machine broke down and was repaired on the spot for 20 minutes. How many kilometers should I accelerate every hour to arrive on time without delay?
4. The weight ratio of goods in warehouse A and warehouse B is 7:8. If the goods are delivered from warehouse B, and 6 tons are brought from warehouse A, warehouse A is more than warehouse B 14 tons. How many tons are there in warehouse A and warehouse B respectively?
The road construction team plans to complete a road in five days. On the first day, it completed 22% of the whole journey, and the next day, it completed 23% of the whole journey. The distance ratio of the last three days is 4:4:3, and the last day is 27 meters. How long is this road?
6. An alloy contains 3:4 copper and zinc, and 63g of new alloy with copper-zinc ratio of 1:2 is made from this alloy. How many grams of copper or zinc should I add?
7. The diameter of the motor drive wheel for threshing is 0. 16m, and the diameter of the thresher drive wheel is 0.24m If the motor speed is 3600rpm, how many revolutions does the thresher wheel make per minute?
8. A junior high school student held a spring outing. If 45 buses are rented, 15 people have no seats. If you rent the same number of 60 buses, one bus is empty. It is known that 45 buses rent 220 yuan and 60 buses rent 300 yuan.
Q: (1) How many students are there in this school?
(2) What is the most economical way to rent a car?
1, only column types are calculated, not calculated.
① A school donated a batch of 160 tons of raw cement from a construction site to Hope Primary School and used it.
Books, including literary and artistic books, account for 20%. Bring some cement in.
Painting takes up, and the other 968 volumes are popular science books. At this time, the weight of cement is 75% of the original.
Things. * * * How many books have you donated? How many tons of cement have been shipped?
Line is: Line is:
(3) Class A and Class B in Grade 6, with 44 students in Class A and 50 students in Class B. When taking part in voluntary tree planting, how many students should be transferred from Class B to Class A to make the two classes equal? (Equation solving)
Solution: Suppose.
Equation:
(4) A and B ride bicycles from the same point in opposite directions. A driving speed 14 km, B's speed is A's. So, after two people drive for several hours at the same time, the distance between them is 9 1 km?
The formula is:
Xiao Ming plans to read 6 pages every day and finish it in 20 days. Now his mother wants him to finish reading it eight days in advance. How many pages does Xiao Ming actually read on average every day? (Answer in proportion)
3. A project can be completed by Party A alone 16 days, and by Party B alone 12 days. Now B will do it for three days, and A will do the rest. How many days will it take to complete this project?
The distance between the two places is 450 kilometers, and the bus and the truck are facing each other at the same time. After three hours of meeting, the speed ratio of bus and truck is 7:5. What is the speed of the two cars?
Please design a car rental scheme according to the materials provided below, and explain the reasons.
① Sunshine School has 406 students and 34 teachers.
② The vehicles of Shanshui Travel Agency are: bus: limited to 42 people, and each vehicle costs RMB 1 1,000 per day. Bus: limited to 25 people, each bus goes to 700 yuan every day.
5. Look at the picture and calculate. (4 points)
Find the area of the shaded part in the right picture (unit: cm)