AFOQT - Air Force Officer Qualifying Block Counting Spatial Apperception Questions and Answers

Question 1

Imagine a single stack of 4 blocks, labeled A, B, C, and D from bottom to top.
A second stack of 2 blocks, labeled E and F from bottom to top, is placed directly to the right of the first stack, with block E touching block A and block F touching block B.
How many blocks is block B touching?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 2

A structure is built with identical blocks in three layers. The bottom layer is a solid 3x3 square of blocks. The middle layer is a solid 2x2 square of blocks centered on the bottom layer. The top layer is a single block centered on the middle layer. How many total blocks are in the structure?

Accepted Answer

14

Answer

13

Answer

18

Answer

9

Question 3

A structure consists of three adjacent columns of blocks. The left column is 3 blocks high, the middle column is 2 blocks high, and the right column is 4 blocks high. The columns are flush against each other. How many other blocks is the bottom block of the left column touching?

Accepted Answer

2

Answer

1

Answer

4

Answer

3

Question 4

A structure is built on a 3x3 grid. The number of blocks in the column at each position is given:
Row 1 (front): [2, 3, 1]
Row 2 (middle): [1, 2, 2]
Row 3 (back): [2, 1, 1]
Consider the block at the very bottom of the center column (Row 2, Column 2), which has a height of 2. How many other blocks is this specific bottom block touching?

Accepted Answer

5

Answer

3

Answer

6

Answer

4

Question 5

A large 3x3x3 cube is created by gluing together 27 smaller, identical cubes. If the entire outside of the large cube is painted red, how many of the smaller cubes have no paint on them at all?

Accepted Answer

1

Answer

8

Answer

9

Answer

26

Question 6

A structure of identical blocks has a front view that is a 3-block wide, 2-block high solid rectangle. Its right-side view is a 2-block wide, 2-block high solid square. Assuming no blocks are floating, what is the minimum number of blocks needed to create such a structure?

Accepted Answer

9

Answer

12

Answer

6

Answer

8

Imagine a single stack of 4 blocks, labeled A, B, C, and D from bottom to top.A second stack of 2 blocks, labeled E and F from bottom to top, is placed directly to the right of the first stack, with block E touching block A and block F touching block B.How many blocks is block B touching?

Imagine a single stack of 4 blocks, labeled A, B, C, and D from bottom to top.
A second stack of 2 blocks, labeled E and F from bottom to top, is placed directly to the right of the first stack, with block E touching block A and block F touching block B.
How many blocks is block B touching?