How to check the flatness and verticality of the wall? What are the allowable deviations?

Use a ruler and a level to test. According to Article 5.2.3 of Code for Acceptance of Masonry Construction Quality (GB 50203-2003):

Brick masonry: the allowable deviation of the surface flatness of the clear water wall is 5mm, the allowable deviation of the mixed water wall is 8 mm, the allowable deviation of the verticality of each floor is 5mm, the total height is ≤ 10m, and the allowable deviation of the verticality is10mm; ; Total height > > 10m, and allowable deviation of verticality is 20mm.

In order to strengthen the vertical and horizontal connection of masonry, the adjacent walls of constructional column should be connected by horse teeth, and 2φ6 Rachel bars should be set every 500mm along the height direction, and each side of Rachel bars should be anchored into the wall. The anchorage length is not less than 600mm, and then concrete is poured.

Inclined cracks in the wall:

Oblique cracks may occur in window corners, inter-window walls, windowsill walls, external walls and internal walls. In most cases, the probability of inclined cracks at both ends of vertical wall is high, and the cracks often pass through the two opposite corners of the window, and the width of cracks at the window is large and gradually narrows inward. The oblique cracks on the longitudinal wall or transverse wall near the horizontal roof are in a regular figure of eight. Some cracks appear in the lower wall of the building, in the shape of regular patterns or inverted patterns. In addition, irregular inclined cracks sometimes appear in the infilled wall.

References:

Code for acceptance of construction quality of masonry structure engineering