ASVAB Assembling Objects 5 — Questions and Answers
Question 1: A flat shape is folded along a dashed center line so that the left half lands exactly on the right half. The result is a shape half the width of the original. If the original was a rectangle 8 cm wide and 5 cm tall, what are the dimensions of the folded shape?
- 4 cm wide and 5 cm tall (Correct answer)
- 8 cm wide and 2.5 cm tall
- 4 cm wide and 10 cm tall
- 2 cm wide and 5 cm tall
Correct answer: 4 cm wide and 5 cm tall
Folding along the vertical center halves the width (8÷2=4 cm) while the height stays the same at 5 cm.
Question 2: Shape A has a dot at its leftmost point. Shape B has a dot at its topmost point. In the correctly assembled figure, the leftmost point of A is connected to the topmost point of B. Where does Shape B appear relative to Shape A?
- To the left of Shape A, with B's top touching A's left (Correct answer)
- Below Shape A, with B's top touching A's bottom
- Above Shape A, with B's top touching A's top
- Inside Shape A at its center
Correct answer: To the left of Shape A, with B's top touching A's left
For A's leftmost point to meet B's topmost point, B must be positioned to the left of A so B's top edge reaches A's left point.
Question 3: A hexagon is divided into 6 equilateral triangles. If you remove one triangle and reconnect the remaining 5, what is the minimum number of sides the new shape can have?
- 5 (Correct answer)
- 6
- 7
- 4
Correct answer: 5
Removing one triangle from a regular hexagon creates a 5-sided (pentagon) indentation, yielding a shape with 5 outer sides at minimum.
Question 4: Two L-shaped pieces are mirror images of each other. When placed together correctly, what shape do they most likely form?
- A rectangle (Correct answer)
- A triangle
- A circle
- A hexagon
Correct answer: A rectangle
Mirror-image L-shapes interlock to fill each other's missing corner, forming a complete rectangle.
Question 5: A dot is placed at the midpoint of the top side of a square. A second shape's dot is at its bottom-right corner. In the assembled figure, these dots are connected. Where is the second shape?
- To the upper-right of the square, with its bottom-right corner touching the square's top midpoint (Correct answer)
- Below the square, with its top-left corner touching the square's bottom midpoint
- Inside the square at its center
- To the left of the square, with its right edge touching the square's left side
Correct answer: To the upper-right of the square, with its bottom-right corner touching the square's top midpoint
The second shape's bottom-right corner must land at the square's top midpoint, placing the second shape to the upper-right.
Question 6: A trapezoid and a triangle are the only two pieces of a puzzle. The triangle's base equals the trapezoid's shorter parallel side. Where does the triangle attach to complete a larger triangle overall?
- On top of the trapezoid's shorter side, apex pointing up (Correct answer)
- Below the trapezoid's longer side, apex pointing down
- To the left side of the trapezoid
- Overlapping the center of the trapezoid
Correct answer: On top of the trapezoid's shorter side, apex pointing up
Placing the triangle's base on the trapezoid's shorter top side, with the apex pointing upward, completes a larger triangle.
Question 7: A puzzle piece has a straight top, a jagged right side, a curved bottom, and a flat left side. Which answer correctly identifies what adjacent pieces must look like?
- The piece to its right has a jagged left side; the piece below has a curved top (Correct answer)
- The piece to its right has a straight left side; the piece below has a flat top
- The piece to its right has a curved left side; the piece below has a jagged top
- The piece to its right has a jagged right side; the piece below has a curved bottom
Correct answer: The piece to its right has a jagged left side; the piece below has a curved top
Adjacent pieces must have complementary edges — the right neighbor needs a jagged left side to match, and the bottom neighbor needs a curved top to match.
ASVAB Assembling Objects 5
A flat shape is folded along a dashed center line so that the left half lands exactly on the right half.
The result is a shape half the width of the original.
If the original was a rectangle 8 cm wide and 5 cm tall, what are the dimensions of the folded shape?