1, India has the same splendid culture as China. In ancient India, there was an interesting math problem: a group of bees landed on peony and gardenia. The difference between the two is three times, flying to the Chinese rose. Finally, there is a little bee flying between the fragrant jasmine and magnolia, and there is a bee.
2. In a container with a concentration of 10? 90 ml of 5% physiological saline, container B contains 1 1? 7% saline is 2 10 ml. If the same amount of brine is poured out from container A and container B first, and then they are poured into another container and stirred evenly, the same concentration of brine is obtained, and ml brine is poured out from each container.
3. In the figure below, A is the point outside ⊙O with a radius of 3, the chord BC//AO and BC=3. Connect alternating current. Shadow area is equal to (∏ take 3. 14)
4. Use the number of 10 from 0 to 9 to form several prime numbers, each number is used exactly once, and the minimum sum of these prime numbers is.
5. Driving from Shanghai to Nanjing was originally planned to arrive at noon 1 1: 30, but the speed was accelerated after the start, and it reached 1 1 point. When I returned the next day, I set off from Nanjing at the same time, drove at the original speed of120km, then sped up again, and arrived in Shanghai at exactly 60.
6. Fill the numbers of 10 from 0 to 9 in the box below, and the equation will be established. Now "3" has been filled in, please fill in the other 9 numbers (note: the first number cannot be 0).
(□□□+□-□□)×3□÷□□=2005
7. Some soldiers lined up. They counted off from left to right for the first time, 1 to 4, and from right to left for the second time, 1 to 6. In both cases, exactly five soldiers reported 3, and the number of soldiers in this row was the largest.
8. Place two rectangles as shown in the figure, m is the midpoint of AD, and the shaded area is =.
9. After the surface of a large cuboid is painted red, it is divided into several small cubes with the side length of 1, of which exactly two small cubes painted red are 2005, and the minimum volume of a large cuboid is.
1 5
2 6
1 6
5 1
4 6
4 2
10, as shown in the figure, six 3×2 small grid tables are combined into a 6×6 large grid table. Please fill in the numbers in 1 ~ 6 in the blank, so that the numbers in each row and column are different, and so are the numbers in the original six 3×2 small grid tables.
Second, short answer questions (***2 questions, each question 10)
1 1. Someone went to the flower shop to buy flowers. He only has 24 yuan. He planned to buy six roses and three lilies, but he didn't have enough money, so he had to buy four roses and five lilies, so that he had more money left in 2 yuan. Please calculate, which is more expensive, two roses or three lilies?
12. Try to put these 99 small squares with side length into a cube with side length of 1 without overlapping. If you can do it, draw a method. If not, please explain why.
Answer: 1,152,633,4.714,567.
5、 6、(857+9-64)×30÷ 12=2005 (859+7-64)×30÷ 12=2005
7、67 8、40 9、282 1
10, and the three filling methods are as follows:
3 4 1 5 2 6
5 2 6 1 3 4
1 6 5 3 4 2
4 3 2 6 5 1
2 1 3 4 6 5
6 5 4 2 1 3
4 3 1 5 2 6
5 2 6 1 3 4
1 6 5 3 4 2
2 4 3 6 5 1
3 1 2 4 6 5
6 5 4 2 1 3
4 3 1 5 2 6
5 2 6 1 3 4
1 6 5 3 4 2
3 4 2 6 5 1
2 1 3 4 6 5
6 5 4 2 1 3
12, yes.