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Q&A on the application of 10 Hope Cup.
Application problems of Hope Cup rematch in recent years

1, (the ninth question of the sixth small five semi-finals) The tomatoes in the vegetable field were harvested. When they were all picked, the three baskets were full of 16 kg. After picking the rest, I packed 6 baskets and got a kilogram of tomatoes.

Answer: 160

Three fifths can hold six baskets, and two fifths should hold four baskets, so one basket can hold 16 kg, and one * * * needs 10 baskets.

2. (Question 10 of the 6th Small Five) The construction team built an expressway, which was originally planned to be built 720 meters a day, but actually it was built 80 meters more than originally planned. Therefore, the task was completed three days ahead of schedule. This road is 100 km long.

Answer: 2 1.6

720×3=2 160,2 160÷80=27,27×(720+80)= 2 1600m = 2 1.6km .

3. (Title 1 1 in the sixth small five) Uncle Wang drove from Beijing to Shanghai. From the beginning, the speed was higher than the original plan, and the result arrived one and a half hours early; When I returned, I drove at the original planned speed of 280 kilometers, and then increased the speed, so I arrived in Beijing 40 minutes earlier 1 hour. The distance between Beijing and Shanghai is 100 km.

Answer: 1260

The speed ratio before and after going is 9: 10, and the time ratio is 10: 9, indicating that the original planned time is15;

When I came back, the speed ratio before and after was 6: 7, and the time ratio was 7: 6, showing that the original planned time was 280km.

Km/hour, 84× 15 = 1260 km.

4. (Question 16 of the 6th Small Five) There is a reservoir with nine identical water pipes, one of which is the water inlet pipe and the other eight are the water outlet pipes. At the beginning, the water inlet pipe fills the reservoir with water at a uniform speed. Later, I wanted to open the outlet pipe and let all the water in the pool go. If eight outlet pipes are opened at the same time, the water in the pool can be discharged in 3 hours; If only five outlet pipes are opened, it will take six hours to drain the water in the pool. How many outlet pipes should be opened at the same time in 4.5 hours to put all the water in the pool?

A: 6

5×6-8×3=6,6÷(6-3)=2; 24-3×2= 18, 18÷4.5+2=6。

5. (Question 5 of the fifth elementary school) Xiao Fang is reading a picture book. She says:

It can be seen from what she said that this book has _ _ _ _ _ pages.

A: 42 points (2 .4- 1)=30;

30+42=72 30+72= 102

6. A shopping mall plans to sell 900 computers every month, and the mall will carry out promotional activities during the golden cycle from May/KLOC-0 to May 7. But the sales plan in May increased by 30%. It is known that 54 units are sold every day during the Golden Week, so the mall can only complete this month's sales plan if it sells at least _ _ _ _ _ units every day in the last 24 days of May.

A: 33

54×7=378

900×( 1+30%)= 1 170

( 1 170-378)÷24=33

7. (Question 8 of the fifth elementary school) After the 60-meter sprint of an animal sports meeting, the average time for chickens to find bears, dogs and rabbits is 4 minutes, while the average time for bears, dogs, rabbits and ducklings is 5 minutes. In this game, the duckling spent _ _ _ _ minutes.

A: 5×4-4×3=8.

8. (Question 5 10) Xiao Qiang practiced the shot put and threw it five times. If one of the best scores and one of the worst scores are removed, the average score is 9.73 meters. If one of the best scores is removed, the average score is 9.5 1 meter. If one of the worst results is removed, the average score is 9.77 meters. The difference between Xiao Qiang's best score and the worst score is _ _ _ _ meters.

A: 9.77× 4-9.5/kloc-0 /× 4 =1.04.

9. (Question 12 in the fifth race) Two cars A and B leave from A and B at the same time. They met for the first time at a distance of 32 kilometers, and then continued driving. When they arrived at B and A respectively, they immediately went back the same way. When they met for the second time at a distance of 64 km, the distance between A and B was _.

Answer: (32×3+64)÷2=80.

10, (the fifth elementary five question14) In the summer of 2006, a certain area in China suffered a serious drought. In order to solve the problem of villagers' drinking water, the government built a reservoir next to a spring at the foot of the mountain, and 40 cubic meters of spring water was injected into the pool every hour. In the first week, it takes 5 pumps 2.5 hours to pump a pool of water, and then it takes 8 pumps 1.5 hours to pump a pool of water in the second week. Later, due to the severe drought, 13 pump started water supply at the same time. How soon can this pool be drained?

ans:40×(2.5- 1.5)÷(5×2.5-8× 1.5)= 80(m3)。

5× 2.5× 80-40× 2.5 = 900 cubic meters

900 ÷ (13× 80-40) = 0.9 (hour)

40 cubic meters of spring water is injected into the human pool every hour, and this condition can be dispensed with.