1. If a*b=5×a- 1/2×b is specified, where a and b are natural numbers,/10 * 6 = _ _ _ _ _ _ _ _

2. A simplest fraction, its numerator is divided by 2, denominator is multiplied by 3, and 3/29 is obtained after simplification. This simplest fraction is _ _ _ _ _ _ _ _.

3. As shown in the figure, at this time, a sector with a central angle of 45, in which the right side of the isosceles triangle is 6 cm and the area of the shaded part is _ _ _ _ _ square cm.

4. There are only two questions in a math exam. As a result, the whole class 10 people are all right, the first question has 25 people right, and the second question has 18 people wrong, so the people who are wrong in both questions are _ _ _ _ _ _.

5. It takes 14 days to complete a project, 7 days for Group B and 6 days for Group C. Now Team B and Team C have worked together for three days, and it will take Team A _ _ _ _ _ _ days to complete the task.

6. Among the integers from1to 2000, there are _ _ _ _ _ _ _ numbers that are multiples of 3, but not multiples of 5.

7. A string of beads is made of 8 red and 2 black in turn into a circle ***40 capsules. A cricket jumps from the second black bead, and every time it jumps over six beads, it falls on the next one, and it must jump at least _ _ _ _ _ _ times before it falls on the black bead again.

8. The natural number n has many factors. Sum these factors in pairs to get a new set of numbers, the smallest of which is 4, the largest is 196, and n has _ _ _ _ _ _ _ factors.

9. There are two ants A and B on the two vertices of a square wooden frame ABCD with a side length of 1 m, crawling counterclockwise along the wooden frame, as shown in the figure. 10 seconds later, the distance between Party A and Party B is the same. After 30 seconds, the distance between A and B is the same again. It takes _ _ _ _ _ _ seconds for an ant to crawl along the wooden frame and _ _ _ _ _ _ seconds for a B ant to crawl along the wooden frame.

10. A car travels from place A to place B at a speed of 750 meters per minute and is expected to arrive in 50 minutes. But the car broke down after driving for 3/5 miles. It took five minutes to repair it. If we still need to get to B within the scheduled time, how many meters per minute must the car be faster than before?

1 1. xinxin business service company charges 3% service fee for customers to sell goods and 2% service fee for customers to shop. Today, a customer entrusted the company 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?

12. Party A and Party B can complete a project within 8 days. A it takes one person 12 days. Now that two people have worked together for a few days, the rest of the project will be completed by B alone, so the time ratio of the first two paragraphs of B is 1: 3. How many days is the actual duration of this project?

Reference answer:

1、472、 18/293、 10.264、35、 16、533

7、78、69、60; 120 10、250 1 1、5 12 1.6 12、 16