(Examination time: 90 minutes)
I. Knowledge and skills
(1) Fill in the blanks (***24 points, 2 points for each question)
1. At present, the area of desertified land in China has reached1739,700 square kilometers, accounting for about 18. 12% of the national territory.
2. On the map with the scale of 1∶60000, the distance from Yucai Primary School to Children's Palace is 3cm, and the actual distance should be () km.
3. The degree ratio of the three internal angles of a right triangle is 1: 2: 1. If triangles are classified by edges, they are () triangles.
4-5. Fill in the appropriate company name.
The area of the desk is about 30 (), and the load of a van is 2 ().
The volume of automobile fuel tank is about 37 (), and the total length of Hangzhou Bay Bridge is 36 ().
6. The circumference of the cone bottom is 94.2 cm, the height is 25 cm, and the volume is () cubic cm.
7. The ratio of A and B is that if A and B are multiplied by 0.469, the simplest integer ratio of A and B is (): ().
8.A number is B number, B number is ()% more than A number, and A number is ()% less than B number.
9. If A: B = 2: 3, B: C = 1: 2 and a+b+c=66, then a= ().
10. The volume of the small cube on the right is ()% of the volume of the large cube.
1 1. Fold a 24-decimeter-long iron wire into the largest square with an area of () square decimeter. If this wire is folded into the largest cube, its volume is () cubic decimeter.
12. As shown below, if the perimeters of two graphs are equal, then a: c = (): ().
(2) Judgment (***5 points, 65438+ 0 point for each question)
1. Prime numbers have only two divisors. ( )
2. The product of multiplication of several true fractions is less than the quotient of division of these true fractions. ( )
3. If two related quantities are not directly proportional, they are inversely proportional. ( )
4. The side of the cone is an isosceles triangle after being unfolded. ( )
5. The doctor should record the temperature change of a fever patient, and it is most appropriate to choose a broken line statistical chart to represent it. ( )
(3) Multiple choice questions (***6 points, 65438+ 0 points for each question)
1. Among the following figures, the smallest is ().
① ② ③ 0.777 ④ 77.8%
2. Ten thousand days is roughly equivalent to ().
① 7 years ② 17 ③ 27 years ④ 37 years.
3. The scale of a picture is 1: 5000000, and the following figure () is the line segment scale of this picture.
① ②
③
4.59.9954 accurate to the percentile is ().
① 59.995 ② 50 ③ 60.0 ④ 60.00
5. According to a×b=c×d, the following can't constitute a proportion ().
① a∶c and D ∶ B2D ∶ A and B ∶ C3B ∶ D and A ∶ C4A ∶ D and c ∶ b.
6. The salt taken from the A salt warehouse is transported to the B salt warehouse. At this time, the quality of salt stored in the two salt warehouses is equal, so the ratio of salt stored in salt warehouse A and salt warehouse B is ().
① 5:3 ② 4:5 ③ 6:5 ④ 5:4
(4) Calculation
1. Numbers written directly: (***5 points, 0.5 point for each question)
3.6÷0.06= × = - = × = 0. 13+ +0.87=
2. Solve the following equations or proportions: (***4 points, 2 points for each question)
4x-7× 1.3 = 9.9 1∶0.4 = 1.35∶X
3. How to calculate it simply: (***8 points, 2 points for each question. There is no simple calculation for the third question, so 1 point will be deducted. )
3- × + 0.9 -(0. 15 + 0.35÷ )
7.25-3 +3.75-6 (2- × )÷( + )
4. Formulaic calculation: (***4 points, 2 points for each question, formula sum 1 minute. )
(five) according to the length of the existing line segment, draw as required, and mark the relevant data. (***4 points, 2 points for each question. )
Draw a triangle with 3 square centimeters and a trapezoid with 5 square centimeters.
Second, comprehensive application (***40 points, 4 points for each question, 2 points for formula and result. )
1. A circular tube (as shown in the figure), with an outer diameter of 6 decimeters, an inner diameter of 5 decimeters and a tube length of 20 decimeters, find the volume of this circular tube.
2. A cloth processing factory sewed 1600 shirts in 5 days. According to this calculation, how many days does it take to sew 2400 shirts?
3. The road and fuel consumption of a car are as follows:
Driving distance (km) 12 36 48 60
Fuel consumption (liter) 2 6 8 10
(1) The relationship between driving distance and fuel consumption is ().
(2) Draw statistical charts of broken lines.
The following is a statistical table of the gold medals won by the China sports delegation in the 2004 Athens Olympic Games. Please finish it.
The total strength of track and field in water sports ball shooting gymnastics
Number of gold medals 8
Percentage 25% 25%13% 3% 6% 28%100%
There are 500 tons of cement in the warehouse of the cement factory. Team a can transport 12% of the total amount at a time, and team b can transport 20% of the total amount at a time. How many tons of cement can be transported at a time if two teams are transported together?
6. Zhao Ming has a document to copy 25 times. According to the price list on the left, which printing method is more economical in Zhao Mingxuan?
Project price
Copy 0.40 yuan per page
Express printing is 0.20 yuan per page, 30 copies are printed, and the plate-making fee is 2.00 yuan each time.
7. Tintin has read a book, and he has already read it. After reading 54 pages, he has read 80% of the whole book. How many pages are there in this book?
8. A supermarket reduced the price of induction cooker twice, and the first time it was 20% lower than the original price. After the price reduction, each induction cooker was sold to 380 yuan, and the price reduction was 10% for the second time. How much cheaper is the price of each induction cooker now than the original price?
9.A car and B car leave from A and B at the same time and meet after 5 hours. Then, they continued to drive in the same direction for three hours. At this time, there is still135km between A and B, and165km between A and B ... How many kilometers is there between A and B?
10.
Given the length of the two right-angled sides in the figure, find the area of the circle whose hypotenuse is the diameter in the figure.