Assembling Objects Practice Test 3 for the ASVAB

Answer: A

Check one letter at a time. Point M is at a corner of the rectangle, and point N is at the middle of a side of the square. Cross out any figure where either end of the line lands somewhere else or where a shape has changed. The shapes may be turned, so find each point by its place on the shape (corner, middle of a side, center), not by up, down, left or right.

• A (correct): The line joins a corner of the rectangle to the middle of a side of the square, the same spots as points M and N in the left box; turning a shape does not move a point on it.
• B: The line ends in the wrong place: it meets the square at a corner, but point N is at the middle of a side.
• C: The line ends in the wrong place: it meets the rectangle at the center, but point M is at a corner.
• D: The line ends in the wrong place: it meets the rectangle at the middle of a short side, but point M is at a corner and it meets the square at the center, but point N is at the middle of a side.

Answer: A

Count the pieces first: every figure must use each piece exactly once, with nothing added. Then pick one distinctive piece, such as the largest one or one with a curved or sharply pointed edge, and look for it in each figure; pieces may be turned but never flipped over. A figure whose cut lines are in different places has pieces of different sizes and can be crossed out. Here the pieces fit together into a triangle.

• A (correct): This triangle is made of exactly the 2 pieces in the left box, each only turned and slid into place.
• B: A cut is in a different place, so the pieces do not match: one piece here covers about 47% of the shape, but the matching piece in the left box covers about 25%.
• C: This figure is a right triangle. The pieces in the left box do not have these shapes, so they cannot fill this outline without gaps or overlaps.
• D: This figure has 3 pieces, but the left box has 2. Every piece must be used once, and nothing may be added.

Answer: B

Count the pieces first: every figure must use each piece exactly once, with nothing added. Then pick one distinctive piece, such as the largest one or one with a curved or sharply pointed edge, and look for it in each figure; pieces may be turned but never flipped over. A figure whose cut lines are in different places has pieces of different sizes and can be crossed out. Here the pieces fit together into a hexagon.

• A: This figure is a circle. The pieces in the left box do not have these shapes, so they cannot fill this outline without gaps or overlaps.
• B (correct): This hexagon is made of exactly the 3 pieces in the left box, each only turned and slid into place.
• C: A cut is in a different place, so the pieces do not match: one piece here covers about 53% of the shape, but the matching piece in the left box covers about 45%.
• D: This figure has 4 pieces, but the left box has 3. Every piece must be used once, and nothing may be added.

Answer: C

Check one letter at a time. Point M is at the middle of the bottom side of the house shape, and point N is at the center of the pentagon. Cross out any figure where either end of the line lands somewhere else or where a shape has changed. The shapes may be turned, so find each point by its place on the shape (corner, middle of a side, center), not by up, down, left or right.

• A: The line ends in the wrong place: it meets the house shape at the peak of the roof, but point M is at the middle of the bottom side.
• B: The line ends in the wrong place: it meets the house shape at a corner where the roof meets a wall, but point M is at the middle of the bottom side and it meets the pentagon at a corner, but point N is at the center.
• C (correct): The line joins the middle of the bottom side of the house shape to the center of the pentagon, the same spots as points M and N in the left box; turning a shape does not move a point on it.
• D: The line ends in the wrong place: it meets the pentagon at the middle of a side, but point N is at the center.

Answer: B

Check one letter at a time. Point M is at the middle of the slanted side of the right triangle, and point N is at the peak of the roof of the house shape. Cross out any figure where either end of the line lands somewhere else or where a shape has changed. The shapes may be turned, so find each point by its place on the shape (corner, middle of a side, center), not by up, down, left or right.

• A: The line ends in the wrong place: it meets the right triangle at the right-angle corner, but point M is at the middle of the slanted side and it meets the house shape at a corner where the roof meets a wall, but point N is at the peak of the roof.
• B (correct): The line joins the middle of the slanted side of the right triangle to the peak of the roof of the house shape, the same spots as points M and N in the left box; turning a shape does not move a point on it.
• C: The line ends in the wrong place: it meets the right triangle at the middle of the shorter leg, but point M is at the middle of the slanted side.
• D: The line ends in the wrong place: it meets the right triangle at the middle of the longer leg, but point M is at the middle of the slanted side.

Answer: C

Count the pieces first: every figure must use each piece exactly once, with nothing added. Then pick one distinctive piece, such as the largest one or one with a curved or sharply pointed edge, and look for it in each figure; pieces may be turned but never flipped over. A figure whose cut lines are in different places has pieces of different sizes and can be crossed out. Here the pieces fit together into a triangle.

• A: A cut is in a different place, so the pieces do not match: one piece here covers about 19% of the shape, but the matching piece in the left box covers about 29%.
• B: This figure is a right triangle. The pieces in the left box do not have these shapes, so they cannot fill this outline without gaps or overlaps.
• C (correct): This triangle is made of exactly the 3 pieces in the left box, each only turned and slid into place.
• D: This figure has 4 pieces, but the left box has 3. Every piece must be used once, and nothing may be added.

Answer: A

Check one letter at a time. Point M is at the middle of a short side of the rectangle, and point N is at the middle of a side of the triangle. Cross out any figure where either end of the line lands somewhere else or where a shape has changed. The shapes may be turned, so find each point by its place on the shape (corner, middle of a side, center), not by up, down, left or right.

• A (correct): The line joins the middle of a short side of the rectangle to the middle of a side of the triangle, the same spots as points M and N in the left box; turning a shape does not move a point on it.
• B: One of the shapes here is a parallelogram, but the left box has a rectangle. Joining parts never changes a shape.
• C: The line ends in the wrong place: it meets the rectangle at a corner, but point M is at the middle of a short side.
• D: The line ends in the wrong place: it meets the rectangle at the middle of a long side, but point M is at the middle of a short side.

Answer: B

Check one letter at a time. Point X is at a wide corner of the diamond, and point Y is at the middle of a side of the pentagon. Cross out any figure where either end of the line lands somewhere else or where a shape has changed. The shapes may be turned, so find each point by its place on the shape (corner, middle of a side, center), not by up, down, left or right.

• A: The line ends in the wrong place: it meets the diamond at the middle of a side, but point X is at a wide corner.
• B (correct): The line joins a wide corner of the diamond to the middle of a side of the pentagon, the same spots as points X and Y in the left box; turning a shape does not move a point on it.
• C: One of the shapes here is a hexagon, but the left box has a pentagon. Joining parts never changes a shape.
• D: The line ends in the wrong place: it meets the pentagon at a corner, but point Y is at the middle of a side.

Answer: D

Check one letter at a time. Point T is at the middle of a side of the pentagon, and point U is at the center of the hexagon. Cross out any figure where either end of the line lands somewhere else or where a shape has changed. The shapes may be turned, so find each point by its place on the shape (corner, middle of a side, center), not by up, down, left or right.

• A: The line ends in the wrong place: it meets the hexagon at the middle of a side, but point U is at the center.
• B: The line ends in the wrong place: it meets the pentagon at a corner, but point T is at the middle of a side.
• C: The line ends in the wrong place: it meets the pentagon at the center, but point T is at the middle of a side and it meets the hexagon at a corner, but point U is at the center.
• D (correct): The line joins the middle of a side of the pentagon to the center of the hexagon, the same spots as points T and U in the left box; turning a shape does not move a point on it.

Answer: A

Count the pieces first: every figure must use each piece exactly once, with nothing added. Then pick one distinctive piece, such as the largest one or one with a curved or sharply pointed edge, and look for it in each figure; pieces may be turned but never flipped over. A figure whose cut lines are in different places has pieces of different sizes and can be crossed out. Here the pieces fit together into a rectangle.

• A (correct): This rectangle is made of exactly the 3 pieces in the left box, each only turned and slid into place.
• B: This figure has 4 pieces, but the left box has 3. Every piece must be used once, and nothing may be added.
• C: A cut is in a different place, so the pieces do not match: one piece here covers about 66% of the shape, but the matching piece in the left box covers about 48%.
• D: This figure is a square. The pieces in the left box do not have these shapes, so they cannot fill this outline without gaps or overlaps.

Answer: A

Count the pieces first: every figure must use each piece exactly once, with nothing added. Then pick one distinctive piece, such as the largest one or one with a curved or sharply pointed edge, and look for it in each figure; pieces may be turned but never flipped over. A figure whose cut lines are in different places has pieces of different sizes and can be crossed out. Here the pieces fit together into a diamond.

• A (correct): This diamond is made of exactly the 3 pieces in the left box, each only turned and slid into place.
• B: This figure has 4 pieces, but the left box has 3. Every piece must be used once, and nothing may be added.
• C: A cut is in a different place, so the pieces do not match: one piece here covers about 53% of the shape, but the matching piece in the left box covers about 43%.
• D: This figure is a square. The pieces in the left box do not have these shapes, so they cannot fill this outline without gaps or overlaps.

Answer: D

Check one letter at a time. Point T is at the sharpest corner of the right triangle, and point U is at the center of the triangle. Cross out any figure where either end of the line lands somewhere else or where a shape has changed. The shapes may be turned, so find each point by its place on the shape (corner, middle of a side, center), not by up, down, left or right.

• A: The line ends in the wrong place: it meets the right triangle at the middle of the slanted side, but point T is at the sharpest corner.
• B: The line ends in the wrong place: it meets the right triangle at the middle of the shorter leg, but point T is at the sharpest corner and it meets the triangle at a corner, but point U is at the center.
• C: The line ends in the wrong place: it meets the triangle at a corner, but point U is at the center.
• D (correct): The line joins the sharpest corner of the right triangle to the center of the triangle, the same spots as points T and U in the left box; turning a shape does not move a point on it.

Answer: A

Count the pieces first: every figure must use each piece exactly once, with nothing added. Then pick one distinctive piece, such as the largest one or one with a curved or sharply pointed edge, and look for it in each figure; pieces may be turned but never flipped over. A figure whose cut lines are in different places has pieces of different sizes and can be crossed out. Here the pieces fit together into a rectangle.

• A (correct): This rectangle is made of exactly the 4 pieces in the left box, each only turned and slid into place.
• B: This figure is a square. The pieces in the left box do not have these shapes, so they cannot fill this outline without gaps or overlaps.
• C: A cut is in a different place, so the pieces do not match: one piece here covers about 47% of the shape, but the matching piece in the left box covers about 54%.
• D: A cut is in a different place, so the pieces do not match: one piece here covers about 39% of the shape, but the matching piece in the left box covers about 54%.

Answer: A

Count the pieces first: every figure must use each piece exactly once, with nothing added. Then pick one distinctive piece, such as the largest one or one with a curved or sharply pointed edge, and look for it in each figure; pieces may be turned but never flipped over. A figure whose cut lines are in different places has pieces of different sizes and can be crossed out. Here the pieces fit together into a trapezoid.

• A (correct): This trapezoid is made of exactly the 4 pieces in the left box, each only turned and slid into place.
• B: This figure is a half-circle. The pieces in the left box do not have these shapes, so they cannot fill this outline without gaps or overlaps.
• C: A cut is in a different place, so the pieces do not match: one piece here covers about 23% of the shape, but the matching piece in the left box covers about 30%.
• D: A cut is in a different place, so the pieces do not match: one piece here covers about 47% of the shape, but the matching piece in the left box covers about 33%.

Answer: A

Check one letter at a time. Point R is at a corner of the square, and point S is at a sharp corner of the parallelogram. Cross out any figure where either end of the line lands somewhere else or where a shape has changed. The shapes may be turned, so find each point by its place on the shape (corner, middle of a side, center), not by up, down, left or right.

• A (correct): The line joins a corner of the square to a sharp corner of the parallelogram, the same spots as points R and S in the left box; turning a shape does not move a point on it.
• B: The line ends in the wrong place: it meets the parallelogram at the center, but point S is at a sharp corner.
• C: One of the shapes here is a rectangle, but the left box has a square. Joining parts never changes a shape.
• D: The line ends in the wrong place: it meets the square at the center, but point R is at a corner.