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Mathematics thinking questions in the sixth grade of primary school
1. The store bought a batch of shoes. The price of each pair is 6.5 yuan and 7.4 yuan. When only five pairs were sold, 44 yuan made a profit. How many pairs of shoes are these? Is the answer 90? Why? Please explain the reason and calculation process.

2. Students who participate in math interest groups will have 8 more students if they are grouped according to 10; There are six people in a group of eight. How many people are there in the group?

3. There is a natural number. Divide it by 25, 38 and 43, and the sum of the three remainders is 18. This natural number is ().

The hunting dog found a rabbit running in front of it 10 meters away in the park, and it immediately followed. The rabbit ran nine steps, only five steps, and the dog ran three steps after two steps. How many meters did the dog catch up with the rabbit?

The runway on the school playground consists of two opposite sides of a rectangle and two semicircles. The width of each runway is1.2m. How many meters should the starting lines of two adjacent runways be apart in the lane separation race of 200m sprint?

6. To process a batch of parts, Party A will do it alone for 20 days, and Party B will do it alone every day 1/30. Now, two people have cooperated to complete these parts. Party A rested for 2.5 days, while Party B rested for several days, so it took 15 days to complete it all. B how many days did you rest?

7. There are 50 fewer peach trees in the orchard than apple trees, and the 1/3 of apple trees is equal to 40% of peach trees. The ratio of pear trees to apple trees is 2:3. How many fruit trees are there in the orchard?

8. The height of a cylindrical container with a bottom radius of 6 cm is equal to that of a conical container with a bottom radius of 9 cm. Now fill the conical container with water and pour it into the cylinder. The water depth is lower than that of the container1.5cm. How many centimeters is the cylindrical container?

9, in the following four formulas, the largest product is _ _ _ _.

( 1) ( 1/ 17+ 1/ 19)*20

(2) ( 1/24+ 1/29)*30

(3) ( 1/3 1+ 1/37)*40

(4) ( 1/4 1+ 1/49)*50

10, originally, the number of girls in the school track and field team accounted for 1 of the total number of track and field teams. Later, six girls joined the track and field team, so girls accounted for 4/9 of the total number of track and field teams. How many girls are there in the track and field team now?

1 1. The experimental primary school is 6 kilometers away from the military training base. Sixth-grade students began to return to school after military training, and fifth-grade students went to the base after military training. The two grades started from two places and met two-fifths of an hour later. It is known that the fifth-grade students walk 7 kilometers per hour. How many kilometers did the sixth graders walk every hour?

12. There are two boxes of fruit in the shop, and the weight of the second box is three-quarters of that of the first box. If you take 5 kg from the first box and put it in the second box, the weight of the two boxes is exactly the same. How much do these two boxes of fruit weigh?

13. There are some oranges. Xiaoming took 1 of the total, Xiao Qiang took 1 of the remaining three, and Liang Xiao took all the remaining oranges, which is exactly eight. How many oranges are there?