TACHS Nonverbal and Figural Reasoning

Question 1

A figure series shows 1 shaded triangle in Step 1, 2 shaded triangles in Step 2, and 3 shaded triangles in Step 3. If the pattern continues, how many shaded triangles appear in Step 5?

Accepted Answer

5

Answer

Each step adds exactly one shaded triangle, so Step 4 has 4 and Step 5 has 5.

Question 2

An arrow points up in Step 1, right in Step 2, and down in Step 3. If it keeps turning the same way, which direction does it point in Step 4?

Accepted Answer

Left

Answer

The arrow turns 90° clockwise at each step (up → right → down → left), so Step 4 points left.

Question 3

Figure classification: which shape does NOT belong with the others? Square, Rectangle, Rhombus, Circle.

Accepted Answer

Circle

Answer

Square, rectangle and rhombus are all four-sided polygons with straight sides. A circle has no straight sides or corners.

Question 4

Figure analogy: A large square containing a small circle is to a large circle containing a small square as a large triangle containing a small star is to...

Accepted Answer

A large star containing a small triangle

Answer

In the first pair the outer and inner shapes swap places. Applying the same rule to a triangle containing a star gives a star containing a triangle.

Question 5

The letter "b" is held up to a vertical mirror placed on its right side. What does the reflection look like?

Accepted Answer

d

Answer

A reflection in a vertical mirror flips the figure left to right. A "b" has its bowl on the right of its stem, so the mirror image has the bowl on the left, which is a "d".

TACHS Practice Test

TACHS Practice Test

TACHS Nonverbal and Figural Reasoning