1, calculation:
2. There are 16 teams participating in the finals of this year's European Football Championship. First, they are divided into four groups on average for group matches, and every two teams in each group play a game, so the four groups play (
) A group match.
3. The tortoise and the rabbit race. They started from the same starting point at the same time. When they reached the distance from the starting point 1500m, they turned around and ran back. The tortoise runs 20 meters per minute, and the rabbit runs 180 meters per minute. When the tortoise meets the rabbit, it is still far from the turning point (
) meters.
There are some cuboid blocks 6 cm long, 4 cm wide and 8 cm high. If these blocks are used to make cubes, at least these blocks (
) block.
5. Counting "24 points" is a traditional math game in China. Here are four playing cards.
(as shown on the right) The formula for using them as "24 points" is (
)。
6. Master Liu cut a 35-meter-long rope into small pieces, with the length of 1.6 meters and 2 meters, for skipping rope. If the loss is not considered, then the last remaining part of this long rope is at least (
) decimeter.
7. There are patterns in each big box below. If the area of each big square is 1, then (
and
) The sum of the areas of the two patterns is exactly equal to 1.
8. The volume ratio of cylinder to cone is 8: 3, and the radius of the bottom of cylinder is twice that of cone. If the height of the cone is 36 cm, the height of the cylinder is (
) centimeters.
9. The following are the 2004 digits of the postal code of a certain area: 430034430034...430034. After this number is divided by 1 1, the sum of each digit of the quotient is (
)。
Figure (a)
Figure (b)
Figure (c)
10, there are some cubes with the same size piled up in a pile, with figure (a) from top to bottom, figure (b) from front to back and figure (c) from left to right. This pile of wood blocks has at least (
) block.
Second, answer. (7 points for each question, ***35 points)
1. Wuhan plans to build the "Second Ring Road" for urban traffic, in which the roads to be built include two river-crossing passages, 16 overpass and 23.7km viaduct. It is known that the viaduct section is 0.3 kilometers less than the total length of the loop, so what is the total length of the loop of the "Second Ring Road"?
2. Repairing a section of highway was originally planned to be completed by Team A and Team B within 20 days ... In fact, Team A repaired it for 12 days first, then Team B and Team A repaired it for 13 days together, and the rest was repaired by Team B alone for 3 days. How many days does it take for Team A and Team B to complete this section alone?
3. The tailor's processing of a batch of clothes is shown on the right. It is known that it takes him 1: 2: 3 to process a children's wear, a pair of trousers and a coat. He processes 2 children's clothes, 3 pairs of trousers and 4 coats every day. How many days did it take him to finish processing this batch of clothes?
4. One day, two generations of love and Mr. Bei found some gold coins, but the greedy Mr. Bei proposed an exchange method: exchange their own gold coins twice, and exchange Mr. Bei's gold coins with half of all the gold coins of the two generations each time. Two generations of love agreed to the request of adults on August 1st. After the first exchange, Master Bayi left 450 gold coins, and after the second exchange, the two generations left 150 gold coins. Please calculate, are there more or less gold coins for two generations of love than the original? How many gold coins did he increase (or decrease)?
10 meter
3 meters
2 m
The picture below shows the design of a square garden in the school. The shaded part is the garden and the blank part is the lawn. How many square meters is the area of this garden?