1.A, B, C and D have 100 pencils, A gives B 10 pencils, B gives C 8 pencils, C gives D 5 pencils, D gives A 6 pencils, and the number of pencils is equal. How many pencils do they each have?
2. 16 Sparrows stopped on two trees, and soon two sparrows flew from the second tree. Five sparrows flew from the first book and flew to the second tree. At this time, the number of sparrows on the two trees is just equal. How many sparrows are there in each of these two trees?
There is a batch of rice in the grain depot, the first time it was more than 3 tons, the second time it was more than 5 tons, and there were 4 tons left. How many tons of raw rice are there in the grain depot?
4. Dad bought some oranges. On the first day, the whole family ate more than half of these oranges. I ate more than half the next day and more than half the third day, leaving 1. How many oranges did dad buy?
5. A shopping center sells computers. More than half of the total 10 computers were sold in the morning, and more than half of the remaining 10 computers were sold in the afternoon, leaving 50 computers. How many computers were there in this shopping mall?
6. Washing machines are sold in department stores. More than half of the total number of washing machines were sold in the morning and more than half in the afternoon, 15, leaving 75 sets. How many washing machines are there in the shop?
2. Selected Application Questions of Junior One Olympic Mathematics
1. A wholesale and retail stationery store stipulates that you can pay at the wholesale price if you buy more than 300 pencils at a time (excluding 300 pencils), and you can only pay at the retail price if you buy less than 300 pencils. Xiaoming came to the store to buy pencils. If he buys 1 pencil for every eighth grade student, he can only pay at the retail price, and needs 120 yuan. If he buys 60 pencils, he can pay at the wholesale price, and he also needs 120 yuan:
(1) What is the total number of students in this eighth grade?
(2) If the wholesale price is 6 yuan and the retail price is 5 yuan, how many eighth-grade students are there in this school?
2. In order to help the areas suffering from natural disasters rebuild their homes, a school called on students to make voluntary donations. It is known that the total amount of the first donation is 4,800 yuan, and the second donation is 5,000 yuan. The number of the second donation is 20 more than that of the first donation, and the donations of both donors are equal. If the number of the first donation is X, what equation should X satisfy?
3. Every inner angle of a regular polygon is 172 degrees. Find the fractional equation whose edge number n should satisfy.
4. Returning farmland to forest and grassland is a major ecological project in western China. The planned area of returning farmland to forest and grassland is 69,000 hectares, and the ratio of returning farmland to forest and grassland is 5: 3. Assuming that the area of returning farmland to forests is x hectares, what is the fractional equation that should be satisfied?
A transportation company needs to ship a batch of goods. Because the mechanical equipment is not in place, it should be shipped manually first, and half of it will be completed in 6 hours. At the later stage, mechanical delivery and manual operation will be carried out at the same time, and the second half will be completed at 1 hour. If the second half can be completed by mechanical shipment for x hours, what equation should be satisfied?
3. Selected application questions of Olympiad Mathematics in the first day of junior high school
1. Use a bucket of water, twice the original water, and the weight of the bucket is 10 kg. If the water is doubled, the weight of the bucket is 22 kilograms. How many kilograms of water are there in the bucket?
Xiaohong and Xiaohua have 36 story books. If Xiaohong gives Xiaohua five books, they have the same number of story books. How many books do Xiaohong and Xiaohua have?
There are five barrels of oil with the same weight. If 15kg is taken out of each barrel, the weight of the remaining oil in five barrels is exactly equal to the weight of the original two barrels. How much does a barrel of oil weigh?
It takes 9 minutes to saw a piece of wood into 3 sections, so how many points does it take to saw this piece of wood into 5 sections at the same speed?
In a workshop, there are 35 fewer female workers than male workers. 17 after the transfer of male and female employees, the number of male employees is twice that of female employees. How many people are there? How many women workers are there?
4. Selected Application Questions of Junior One Olympic Mathematics
1, the tortoise and the rabbit race, starting at the same time, the whole journey is 7000m. The tortoise crawls at a speed of 30 meters per minute, and the rabbit runs at a speed of 330 meters per minute. After running 10 minutes, the rabbit stopped to sleep for 200 minutes, and immediately ran at the original speed after waking up. When the rabbit catches up with the tortoise, how many meters is it from the midpoint?
2. The school organized a spring outing for the fourth-grade students, and chartered two vans to start from the school. The first car runs at 30 kilometers per hour, leaving at 7 am, and the second car is late 1 hour, with a speed of 40 kilometers per hour. As a result, two cars arrived at the same time How far is the scenic spot of the spring outing from the school?
3. Party A and Party B go from Party A to Party B at the same time. Party A walks 250 meters per minute and Party B walks 90 meters per minute. After Party A arrives at B, he immediately returns to A and meets Party B at B1200m. How many kilometers is there between A and B?
4. It took 1 10 seconds for train A to catch up with train B completely. The length of train A is120m, and the speed of train B is 20m per second. The speed of train B is18m per second. B How long is the train?
It took 365,438+0 seconds for the A train to catch up with the B train from behind. The length of a train is150m, the speed is 25m per second, the length of b train is160m, and the speed of b train is several meters per second.
5. Selected Application Questions of Junior One Olympic Mathematics
1. If Team A goes it alone, it can be finished in 6 days, Team A goes it alone for 3 days and Team B goes it alone for 2 days. How many days does Team B need to finish?
2. A project will take 30 days for team A and 40 days for team B.. Team a will do it for a few days first, and then team b will do it. * * * 35 days to complete the task. How many days did Team A and Team B each do?
3. A project will take 5 days for Team A and Team B, 6 days for Team B and Team C, and 6 days for Team A and Team C. How many days will it take for Team A, Team B and Team C to complete now?
4. To build a highway, Team A can finish it in 20 days, and Team B can finish it in 30 days. Now two teams are working together. Team A has a rest of 2.5 days and Team B has a rest of several days, so it will take 14 days to finish, and Team B has a rest of several days.
5. For one project, Party A completed 1/5 in 2 hours, and Party B completed the rest 1/4 in 5 hours. The rest is done by both parties. How many hours did Party A work?