(5 points for each question, total 100 points. The examination time is 90 minutes. ) score:
Name: _ _ _ _ _ _ Class: _ _ _ _ _ Instructor: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
—————————————————————————————
1. Fill in the figures according to the law.
2、 10、4、 1 1、6、 14、8、 19、( )、( )。
2. Count, there are () line segments in the picture.
During the holiday, Xiaoli and her mother learned to cook fish together. Use 2 minutes, 2 minutes, 1 minute, 1 minute,1minute to wash fish, wash pot, hot pot, hot oil and fry fish respectively. Please arrange for Xiaoli to cook fish in the least time. It takes Xiao Li at least () minutes to cook fish.
4. Please make the four natural numbers 3, 6, 9 and 15 into a comprehensive formula through four operations, so that the result is equal to 24 (you can exchange the positions of natural numbers with brackets, and a number can only be used once).
There are three piles of chess pieces, the second pile is three times more than the first pile, and the third pile is four times less than the first pile. When the number of pieces in the first pile is (), the number of pieces in the second pile and the third pile is the same.
6. Quadrilateral ABCD, ∠ A+∠ C = 2 10, ∠ D = 2 ∠ B, ∠ B = ().
7. The following vertical products are ().
8. Both Party A and Party B set out from the first floor to the15th floor for business at the same time, just as the elevator stopped. When A walked to the third floor, B just walked to the fourth floor. At this speed, A goes to the 9th floor and B goes to the () floor.
9. There are 65,438+000 teachers who know English or Japanese in a certain district, including 75 who know English, 20 who know English and Japanese, and () who know Japanese.
10. The school bought 5 ordinary lamps and 3 dimming lamps and paid 295 yuan. If you use 1 dimming desk lamp for two ordinary desk lamps, you have to pay 14.6 yuan more. 1 Dimming lamp (RMB).
. .
1 1. In the cyclic decimal 0.36 18 172, the number at the 2009th place after the decimal point is ().
12. As shown in the figure, the area of triangle ABC is 3 square centimeters. Extend AB to D, BD = 2ab, AC to E, and CE = 3ac. The area of triangle ADE is () square centimeters.
13. It is known that the length and width of a rectangle are integers, and the length is 6 cm more than the width. If the area of this rectangle is 3 15 square centimeter. The circumference of this rectangle is () cm.
14. A cube whose surface is covered with red, cut 4 knives at equal distance on each surface. There are () small cubes, and only one face is painted red.
15. Please fill in the appropriate number in the brackets below: 57 =1()+1()+1().
16. Starting from 1, add 3 and 4 in turn to get the following column numbers: 1, 4,8, 1 1, 15,18,22,.
17. Xiaohong put 89 balls in a dozen boxes, some of which put 12 balls, and the rest put 5 balls in each box. She has () boxes.
18. Pack 12 tape in a "regular way", that is, every two adjacent tapes must be butted in the same area, and the final packaging shape is a cuboid. It is known that the tape cartridge is 1 1 cm long, 7 cm wide and 2 cm high. The minimum surface area of regularly arranged cuboids is () square centimeters.
19. Write 1, 4, 7, 10, 13, ... (The last number is always 3 larger than the previous adjacent number), as shown below:
Column 1 column 2, column 3, column 4 and column 5
Line1147113
Line 2: 25 22 19 16
Line 3 28 3 1 34 37
Line 4 49 46 43 40
…… …… …… …… …… ……
Then 1000 is in line () and column ().
20. There are two boxes containing 18 and 2 1 matches respectively. Party A and Party B take turns to take any match in one box, but they can't take it in two boxes at the same time, and they can't leave. The winner is defined as the last 1 match. Try to explain the winning strategy when A leads.