ASVAB Assembling Objects 4 — Questions and Answers
Question 1: A shape has a concave (inward-curving) notch on its right side. Which piece would fit perfectly into that space?
- A piece with a convex (outward-curving) bump on its left side (Correct answer)
- A piece with a concave notch on its left side
- A piece with a flat left edge
- A piece with a concave notch on its right side
Correct answer: A piece with a convex (outward-curving) bump on its left side
A convex bump is the complementary shape to a concave notch — they interlock perfectly.
Question 2: A large circle has a dot at its 3 o'clock position. A small triangle has a dot at its apex (top vertex). How are they connected in the correct answer?
- The circle's 3 o'clock edge touches the triangle's apex (Correct answer)
- The triangle's apex points toward the circle's center
- The circle's 12 o'clock position touches the triangle's base
- The triangle sits inside the circle
Correct answer: The circle's 3 o'clock edge touches the triangle's apex
The dot at the circle's 3 o'clock and the dot at the triangle's apex are the two connection points that must meet.
Question 3: A square piece and a triangular piece together account for all parts of a figure. The triangle's hypotenuse matches the length of one side of the square. Where does the triangle attach?
- Flush along one side of the square, forming a house/pentagon shape (Correct answer)
- Diagonally across the square's interior
- At one corner of the square only
- Centered on top of the square with gaps on each side
Correct answer: Flush along one side of the square, forming a house/pentagon shape
When a triangle's hypotenuse equals a square's side length, it fits flush along that side, creating a pentagon (house shape).
Question 4: A figure is cut into four equal pieces by one horizontal and one vertical cut through its center. What is true about each piece?
- All four pieces are identical in size and shape (Correct answer)
- The two top pieces are larger than the two bottom pieces
- Each piece is a different shape
- Only two of the four pieces are equal
Correct answer: All four pieces are identical in size and shape
Cutting through the center horizontally and vertically divides the figure into four congruent (identical) pieces.
Question 5: Two right triangles, each with legs of 3 cm and 4 cm, are placed with their hypotenuses together. What shape is formed?
- A rectangle (Correct answer)
- A square
- A larger triangle
- A trapezoid
Correct answer: A rectangle
Two congruent right triangles placed hypotenuse-to-hypotenuse form a rectangle whose sides equal the legs of the triangles.
Question 6: An irregular polygon piece has tabs (protrusions) on its north and south sides, and slots (indentations) on its east and west sides. Which neighboring piece would fit on its east side?
- A piece with a tab on its west side (Correct answer)
- A piece with a slot on its west side
- A piece with a tab on its east side
- A piece with a flat west edge
Correct answer: A piece with a tab on its west side
A slot requires a tab to fill it; the east-side slot needs a piece whose west side has a matching tab.
Question 7: A circle is divided into 6 equal sectors (like pizza slices). If 2 sectors are removed, what fraction of the original circle remains?
- Two-thirds (Correct answer)
- One-half
- Three-quarters
- Five-sixths
Correct answer: Two-thirds
Removing 2 of 6 equal sectors leaves 4/6, which simplifies to two-thirds of the original circle.
ASVAB Assembling Objects 4
A shape has a concave (inward-curving) notch on its right side.
Which piece would fit perfectly into that space?