1、( 1+ 1/2)×( 1+ 1/4)×( 1+ 1/6)×( 1+ 1/8)×( 1+ 1/3)×( 1+ 1/ 5) × (1+1/7 )× (1+1/9) = () 2. If a*b=5×a- 1/2×b, where ab is a natural number.
3. Fill in two adjacent integers in the box below to make the inequality □ <1+1/2+1/3+1/4+1/5+1/6+/.
4, the simplest fraction, its numerator is divided by 2, denominator is multiplied by 3, and 3/29 is obtained after simplification. The simplest score is ().
5, 5 times a number, plus 2 minus 10, multiplied by 2 to get 44, then this number is ().
6. The figure shows a sector with a central angle of 45 degrees, in which the right side of the isosceles right triangle is 6 cm and the shaded area is () square cm.
7. There are two cylindrical oil drums. Similar in shape (that is, the ratio of ground radius to height is the same), and the size is as shown in the figure. Both oil drums are full of oil. If the small one holds 2 kilograms, then the big one holds () kilograms of oil.
8. The area of the same part of three circles * * * is110, so the area of the middle circle is 1/6 and the area of the small circle is 1/2, so the area ratio of the three circles is ().
9. There are only two questions in the math exam. Results The whole class 10 was all right, the first question was 25 right, and the second question 18 wrong. Then someone () got both questions wrong.
10. A project needs to be done by Party A alone 14 days, 7 days for Team B and 6 days for Team C. Now after three days of cooperation between Team B and Team C, the rest will be completed by Team A alone, and it will take () days to complete.
Second, multiple choice questions
1. Only one lock can be opened with one key. Now there are four keys. But I don't know which key to open which lock. You have to try () times at most to open all the locks. a、 16 B、 12 C、 10 D、6
2. In the integer 1-2000, the number of () is a multiple of 3, but not a multiple of 5. a、532 B、533 C、534 D、535
3. There is a simplest fraction whose product of numerator and denominator is 140. If all the selected scores are arranged from small to large, then the third score is () A, 4/35 B, 7/20 C5/28.
4, the ratio of 3/4: 3/20 is (). a、5 B、 1:5 C、
5: 1 D、9/80
Third, solve the problem.
1, after five referees score a gymnast, remove a highest score and a lowest score, with an average score of 9.85; Only one highest score was removed, with an average score of 9.46; Only one lowest score was removed, with an average score of 9.66. What is the difference between the highest score and the lowest score of an athlete?
2. Write 2 10 as the sum of seven natural numbers, so that after seven numbers are arranged in a row from small to large, the difference between two adjacent numbers is 5. What are the first and seventh numbers?
3. A car travels from A to B at a speed of 750m per minute, and it is expected to arrive in 50 minutes. However, when the car traveled to 3/5 distance, it broke down and was repaired within 5 minutes. If we still need to get to B within the scheduled time, how many meters per minute must the bus go faster than before for the rest of the trip?
4. Xinxin Business Service Company charges 3% service fee for the goods sold by customers. 2% service charge for shopping on behalf of customers. Today, a customer entrusts a customer to sell some self-produced goods and buy new equipment. Knowing that the company deducted the customer service fee of 264 yuan, the customer just broke even. What is the cost (price) of buying new equipment?