Test 1

From the american college admissions test (Scholastic Aptitude Test).

Question:
Which row contains both the square of an integer and the cube of a different integer?

1. 7, 2, 5, 4, 6
2. 3, 8, 6, 9, 7
3. 5, 4, 3, 8, 2
4. 9, 5, 7, 3, 6
5. 5, 6, 3, 7, 4

Test 2

From an american test for cognitive abilities.

Question:
HIDDEN PATTERNS: Circle each pattern below in which the figure appears. The figure must always be in this position, not upside down or on its side.

Test 3

From the american college adminssions test (Scholastic Aptitude Test).

Question:
In the figure, the radius of circle A is 1/3 the radius of circle B. Starting from the position shown in the figure, circle A rolls around circle B. At the end of how many revolutions of circle A will the center of circle A first reach its starting point?

1. 3/2
2. 3
3. 6
4. 9/2
5. 9

Test 4

From an american warm-up test for the college admissions test (Preliminary Scholastic Aptitude Test).

Question:
In pyramids ABCD and EFGHI shown at right, all faces except base FGHI are equilateral triangles of equal size. If face ABC is placed on face EFG so that the vertices of the triangles coincide, how many exposed faces will the resulting solid have?

1. Five
2. Six
3. Seven
4. Eight
5. Nine