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Examination questions of mathematics competition in the fourth grade of primary school
1. In order to support the west, 1 Xiaoming, the monitor of Class 2, and Xiaoguang, the monitor of Class 2, bought 44 books of the same kind with the same money, and all the money was used up. Xiaoming asked for 26 books and Xiaoguang asked for 18 books. After returning to school, Xiao Ming gave Xiaoguang 28 yuan money. Xiaoming and Xiaoguang each brought _ _ 154 _ _ yuan, and the price of each book is _ _ yuan.

They have the same amount of money, so they can buy as many books, that is, 22 books, while Xiaoming wants 26 books, that is, he wants four more books, and Xiaoguang wants four less books, so Xiaoming wants to supply Xiaoguang with money for four books, that is, 28 yuan, so one book should be 7 yuan, and both of them bring 7 times 22 to get 154 yuan.

This rectangle is divided into four small rectangles. The numbers in Figure 4 are their respective areas, and the shaded areas are _ 15 and1/3 _ _ _.

As can be seen from the figure, two rectangles with areas of 19 and 57 have the same length and area of 1/3, so their width should also be 1/3, and the opposite sides of the rectangle are equal, so the area ratio of the shaded part to the area of 46 is also equal, and the width and area are both 1/3.

3. two cars, a and b, start from a and b at the same time, in opposite directions. Two hours after departure, the distance between the two cars is141km; Five hours after the departure, the two cars met. A and B are _ 235 _ _ _ _ kilometers apart.

Two hours after departure, the distance is 14 1 km, and five hours later, the two places meet, that is, two cars drive 14 1 km within three hours, so the sum of the speeds of the two cars is 47 km, and the distance between the two places is 235 km after five hours.