6 points for each of the following questions, *** 120 points.
1, calculation: 0.3 (●)-0.03 (●)-0.003 (●) = (the result is written in fractional form).
2. Calculation:
3. As shown in the figure, from the starting point to the end point, it is required to take out the flag on each site, and each site is only allowed to pass once. There are different ways to walk.
4. Three numbers: 23,565,438+0,72. If each number is divided by the same natural number greater than 65,438+0 to get the same remainder, then this divisor is.
5.2g, 5g and 20g total 1 weight, and different weights can be weighed only by the weight and a balanced balance.
6. The following table shows the sales plan of a commodity. Please fill in the appropriate numbers in the blanks.
Xx commodity sales plan
Purchase price (RMB/piece)
Sales model
Price (RMB/piece)
Profit rate (%)
Profit (yuan/piece)
original price
1800
20
10% discount
7. A centrally symmetric figure is a figure that can overlap the original figure after rotating around a certain point by180, and an axisymmetric figure is a figure that completely overlaps after being folded in half along a straight line. One of the four figures in the figure is both a centrally symmetric figure and an axisymmetric figure.
8. As shown in the figure, Xiao Ming misread the subtraction. This subtraction should be.
9. Known
10, Xiao Yu and Xiao Man live at the foot of the mountain on both sides. One day, Xiao Yu set out from home at nine o'clock in the morning to visit Xiaoman's home. Kohane went home after playing at Xiaoman's home for two and a half hours. It's 14: 00 pm when I get home. If Xiao Yu walks two miles up the mountain and three miles down the mountain, the mountain road between Xiao Yu's house and Xiao Man's house will be long.
1 1. This year, the age ratio of Xiaojun and Xiao Yong is 3: 5. Two years later, the age ratio was 2: 3. Then Xiaojun was 20 years old and Xiao Yong was 20 years old.
12, an ant "scout" found food outside the cave and immediately returned to the nest to inform his companions. Suppose an ant can convey the message to four companions in 1 minute, then in less than minutes, all 2000 ants in the nest know the news (the result is rounded off).
13, as shown in Figure 4, Li Minghe Wang Liang competed in different ways and finally won.
14. A geometric figure formed by welding several small cubic iron blocks with a side length of 1. The view from the front, side and top is as shown in the figure, so this geometric figure is welded by at least three small cubic iron blocks.
15. If the areas of three sides of a cuboid are 6, 8 and 12 respectively, then the volume of this cuboid is.
16. As shown in the figure, the mole and the mouse started to dig holes at both ends of the157m-long path A and B respectively. The mouse said to the mole, "I'll dig after you finish." In this way, because some holes that the mouse originally wanted to dig happened to be the holes that the mole wanted to dig, the mouse could dig one less hole.
17, as shown in the figure, is the statistics of the number of boys and girls in 1 class and class 2. It is known that the number of students in both classes is not less than 30 and not more than 40, so 1 class has 20 students and class 2 has 20 students.
18, the factory produced a batch of products, which was originally planned to be completed in 15 days. In actual production, the production process has been improved, and the number of products produced every day is more than originally planned 10. As a result, the production task was completed four days ahead of schedule, so there are two pieces of this batch of products.
19, a car was driving at a constant speed, and the driver looked at the odometer three times, as shown in Figure 8, which showed that the car was running at several kilometers per hour.
20. As shown in Figure 9, the area of triangle BAC is 1, e is the midpoint of AC, point D is on BC, BD:DC= 1:2, and AD and BE intersect at point F, then the area of quadrilateral DEFC is equal to.