Foundation compaction
1, known to meet, then _ _ _ _ _ _ _.
2. The known value is _ _ _ _ _.
3. Use one yuan * * 18 to buy three kinds of stamps with face value of 4 cents, 8 cents and 1 cent, and buy at least one of each. * * * There are _ _ _ _ different ways to buy.
Hope Middle School received ***20 football, basketball and volleyball donated by Teacher Wang, with a total value of 330 yuan. The prices of these three kinds of balls are 65,438+00 yuan respectively, football 60 yuan, basketball and volleyball 30 yuan, so there are _ _ _ _ _ _ _ _ _ _ _ _.
5. The integer solution of the equation is ().
A. 1 group B.2 group C.4 group D. numerous groups
6. The integer solution of the equation is ().
A. 1 Group B.2 Group C.3 Group D.4
7, the following is a six-digit multiplied by a number of vertical numbers, each vertical number represents a number (not necessarily the same), then ().
A.7b.24c.30d is uncertain.
8. Find the integer solution of the following equation:
( 1); (2);
(3) Find the positive integer solution of the indefinite equation.
9. At the beginning of the station check-in, a passenger queued up in the waiting room to check in. After the start of ticket checking, there are still passengers queuing to check in, and the speed of ticket checking at the ticket gate is fixed. If you open a ticket gate, it will take 30 minutes to complete the queuing of all passengers. If you open two ticket gates, it only takes 10 minutes to check all the passengers in line. How many ticket gates should be opened at least at the same time if all the passengers waiting in line are to be inspected in 5 minutes and the passengers arriving later are to be inspected on the spot?
10, the driver Xiao Li is driving at a constant speed on the expressway. He saw that the number on the mileage card was double digits. 1 hour later, he saw that the number on the mileage card was exactly the first two digits in reverse order. Another hour passed, and he saw the number on the mileage card for the third time, adding a zero and three digits between the first two digits. What are the numbers on these three mileage cards?
Capacity expansion
1 1, there are _ _ _ _ _ _ pairs of integer pairs * *.
12, the positive integer solution of the equation is _ _ _ _ _ _ _ _ _ _ _.
13, 1998 A person's age is just the sum of the figures of the year when he was born, so his age is _ _ _ _ _ _.
14, piping occurred in a pool near the river bank, and the river kept pouring out. Assuming that the amount of water sprayed per minute is equal, if two pumps are used to pump water, it can be pumped out in 40 minutes; If four pumps are used to pump water, 16 minutes will be enough. If you want to pump water within 10 minutes, you need at least _ _ _ _ _ _ _ _ _ pumps.
15, there are three kinds of goods, A, B and C. If someone buys three A's and seven B's, 1 C, they need 24 yuan. If Party A has 4 pieces, Party B 10 pieces and Party C 1 piece needs 33 yuan, then this person needs _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
16. A cloth bag contains red, yellow and blue balls of the same size. The red ball is marked with the number 1, the yellow ball with the number 2 and the basketball with the number 3. Xiaoming took out 10 balls from his bag, and the sum of the numbers marked on it was equal to 2 1, so the number of red balls in the balls that Xiaoming took out was the largest.
17. If several tourists want to take a car, it is required that the number of people in each car is equal. If each bus takes 30 people, then one person fails to get on the bus. If one car is missing, all tourists can be allocated to each car equally. It is understood that each car can accommodate up to 40 people. How many tourists are there?
18. The telephone number of a family is eight digits. Add the first four digits and the last four digits to get 14405, and add the first three digits and the last five digits to get 1690. Find the phone number of this family.
Comprehensive innovation
19. At that time, the value of a quadratic trinomial was equal to 694. If the coefficients and constant terms of the quadratic trinomial are integers whose absolute values are less than 10, find all the quadratic trinomials that meet the conditions.
20. A scientific investigation team went to the upper reaches of a river to investigate an ecological zone. After they set out, they traveled at the speed of 17㎞ every day, along the river bank for a few days, and then visited the ecological zone for a few days. After completing the task, they return at a rate of 25㎞ per day. On the 60th day after their departure, the investigation team headed for 24㎞.