first part
1. Fill in the blanks. (Per grid 1 minute, ***22 points)
1. Rewrite 200 160000 into () million, and round it to several hundred million, which is about () million.
2. The decimal unit of (), plus at least () such decimal units, becomes the smallest prime number.
3. Yes (); /kloc-more than 0/5 meters is () meters.
4.1964101October 16, China's first atomic bomb test was successful. There are () days this year, and this year will be the anniversary of ().
There is a ton of cement on the construction site, and it needs 3.5 tons every day for B days. The formula shows that the remaining tonnage is () tons.
6. The ratio of A to B is 2∶5, the difference between B and A is 10.5, and B is ().
7. Divide the 4-meter-long wire into five sections on average, each section is () of this wire, and each section is () meters long.
8. Among 0.26, 725, 2.6 and 0.267, the largest number is () and the smallest number is ().
9. In a picture, the distance of 20 cm on the picture represents the actual distance of 8 kilometers, and the scale of this picture is ().
10. The right picture can be folded into a cube, and the front 1 is opposite to the front ();
Face 2 is opposite to face ();
1 1.
12. Stack small cubes with side length of 1 cm into a cube with side length of 1 decimeter. You need such small cubes (). Arrange these small cubes in a row. Its length is () cm.
2. True or false. (The "√" in brackets is correct and the "×" in brackets is incorrect) (5 points)
1. The coprime of two numbers must be both prime numbers. ……………………………………………………( )
2. rope a is shorter than rope b, so rope b is 50% longer than rope a. ……………………………… ( )
3. The radius of the bottom surface of the cylinder is constant. If the height of the cylinder is expanded by three times, the area of the side surface will also be expanded by three times. ………( )
4. Compared with two circles, the smaller the perimeter, the smaller the area. ………………………………………………( )
5. If the number of A equals the number of B, the ratio of A to B is 6: 5. …………………………( )
3. multiple choice questions. (Fill in the code of the correct answer in brackets) (5 points)
1. Put 3g of medicine into100g of water, and the ratio of medicine to liquid medicine is ............................................ ().
(a . 3∶97 b . 3∶ 100 c . 3∶ 103)
2. There must be a certain number of students in the class, including attendance and truancy. ............................... ()
(A. in direct proportion B. in inverse proportion C. out of proportion)
After the decimal point 3.6.074 is moved two places to the right and three places to the left, the number obtained is more than the original number by ......................................... ().
Enlarge 100 times B. Enlarge 10 times C. Reduce 10 times)
4. A ÷ B = 5 (both A and B are natural numbers not equal to 0), and the greatest common divisor of A and B is ...................... ().
(Arabic b. b. c. 5)
Xiaohua is one year old, and Xiao Fang is two years older than Xiaohua. Xiaohua is three years younger than Xiao Fang? …………… ( )
(A. a+3 B. 5 C.2)
Four. Calculate. (25 points)
1. Write directly. (4 points)
83-57= 1-0.74= 0.25×40= 2-2÷5 =
1÷ = 1.25×3×8= = ( + )×56=
2. Find the value of unknown x. (6 points)
X-= 1.75 8X-5.5X = 1 0.36∶8 = X∶25
3. Calculate the following questions. (9 points)
1+0.45÷0.9- ( - )×45
4. Column calculation. (6 points)
(1)4.6 minus the difference of 1.4, (2) the sum of a number is less than 73 times of 30 times 4,
What was the result? What's this number? (Equation solving)
Verb (abbreviation of verb) operation and analysis. (7 points)
1. Calculated according to law. (2 points) 2. The picture below is a rectangle. (5 points)
3+6+12 =12× 2-3 = 21(1) Draw a line segment in a rectangle and divide it in two.
3+6+ 12+24 = 24× 2-3 = 45 The largest isosceles right triangle and trapezoid.
3+6+12+24+48 = 48× 2-3 = 93 (2) The maximum angle of this trapezoid is degrees.
…………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
3+6+12+24+...+192 = area and trapezoidal area.
a+2a+4a+8a+ 16a+……+ 1024 a =
6. Application questions. (4 points for question 2, 6 points for questions 3-6, ***36 points)
1. is only in the form of a column, not in the calculation. (8 points)
(1) Wang Ling has read 290 pages of novels, and has already read (2) There are 64 children's palace choirs, that is, two.
Four days, 20 pages a day, how many pages are left? Multiplied by less than 16 people, how many people are there in the dance team?
Solution: There are X people in the dance team.
(3) A pupil volunteered to support the people in the disaster area; (4) Xiao Zhang and Xiao Li are running on the 400-meter circular track.
The situation is as follows: two people start from the same place at the same time and go in opposite directions. Zhang Xiao
Running 4 meters per second, Xiao Li running 6 meters per second, how many seconds have passed?
They met for the first time?
Solution: suppose two people meet for the first time after x seconds.
What is the average donation per person?
2. A refrigerator factory produced 2 100 refrigerators in May, more than in April. How many refrigerators were produced in April?
The distance between the two stations is 475 kilometers. Two cars, A and B, leave from two stations at the same time. Car A is 50 kilometers per hour, and car B is 45 kilometers per hour. How many hours after the two cars left? (Equation solving)
The engineering team built an expressway, which is planned to be 4.5 kilometers per day and completed in 20 days. Actually, it's six kilometers a day. How many days can it be finished?
(Use proportional solution)
5. A pile of coal is tapered, with a bottom diameter of 6m and a height of 2m. If each cubic meter of coal weighs about 1.6 tons, how many tons is this pile of coal? (Keep the whole ton)
6. Xiaohua deposited the accumulated pocket money of 200 yuan in the bank on June 5438+1 October1this year for three years. Donate the interest to Project Hope when it is due. If the annual interest rate is calculated at 2.70%, how much interest can you get at maturity?
the second part
Fill in the blanks. (65438+ 0 points for each question, ***8 points)
(1) Divide the circle with the circumference of 12.56 cm into two semicircles on average, and the circumference of each semicircle is () cm.
(2) Of the four numbers 719, 623, 7 13 and 6 19, the largest number is () and the smallest number is ().
(3) Fold a rope into three equal parts, then into two equal parts, and then cut it from the middle. A * * * can be cut into () segments.
(4) The sum of the numbers A, B and C is 188. If a is divided by b, or c is divided by a, the result is quotient 6+2, and b is ().
(5) A number of rectangular wooden boards, 36 cm long and 24 cm wide, can be made into squares with at least () pieces.
There are five Mondays in a month, but the first and last day of this month are not Mondays. The first day of this month is Monday (), and there are () days in this month.
(7) The length, width and height of the rectangle are 3cm, 2cm and 1 cm respectively. A bug starts from a vertex and crawls along the edge. If the repeated route is not required, then the longest path taken by the bug to return to the vertex at startup is () cm.
(8) The charging standards for urban taxis are as follows:
Mileage fee/yuan
10.005km or less
More than 5 km, each additional 0 km 1.20.
(1) If the taxi mileage is15km, () yuan shall be charged;
(2) Now that 30 yuan has money, the maximum mileage that you can take a taxi is () kilometers.
Second, comprehensive application. (3 points for each question, *** 12 points)
(1) 1 cubic decimeter has 24 cubic commodities. Please design a suitable rectangular box for it. The length, width and height of this box can be decimeter, decimeter and decimeter respectively. At this time, the wrapping paper should have at least square decimeter (the joint is ignored).
(2) The original cement weight ratio of the two construction teams is 4: 3. When Team A gave Team B 54 tons of cement, the cement weight ratio of Team A and Team B was 3∶4. How many tons of cement does Team A have?
(3) The surface area of a cylinder with a diameter of 10 cm is increased by 200 square centimeters after being cut longitudinally along the diameter. How many cubic centimeters is the original volume of this cylinder?
(4) The cylindrical container A is empty, and the water depth in the rectangular container B is 6.28 cm. It is necessary to pour all the water in container B into container A. What is the water depth at this time?
Jiayi
(Unit: cm)