Assembling Objects Practice Test 5 (ASVAB)

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 hexagon.

• A (correct): This hexagon 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 18% of the shape, but the matching piece in the left box covers about 49%.
• C: This figure has 3 pieces, but the left box has 2. Every piece must be used once, and nothing may be added.
• D: 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.

Answer: D

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 parallelogram.

• A: This figure is a rectangle. The pieces in the left box do not have these shapes, so they cannot fill this outline without gaps or overlaps.
• B: This figure has 3 pieces, but the left box has 2. 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 48% of the shape, but the matching piece in the left box covers about 20%.
• D (correct): This parallelogram is made of exactly the 2 pieces in the left box, each only turned and slid into place.

Answer: D

Check one letter at a time. Point G is at the peak of the roof of the house shape, and point H is at the middle of a short side 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: The line ends in the wrong place: it meets the house shape at the middle of a wall, but point G is at the peak of the roof and it meets the parallelogram at a sharp corner, but point H is at the middle of a short side.
• B: The line ends in the wrong place: it meets the house shape at a bottom corner, but point G is at the peak of the roof.
• C: The line ends in the wrong place: it meets the house shape at the middle of the bottom side, but point G is at the peak of the roof.
• D (correct): The line joins the peak of the roof of the house shape to the middle of a short side of the parallelogram, the same spots as points G and H in the left box; turning a shape does not move a point on it.

Answer: C

Check one letter at a time. Point X is at a corner of the square, and point Y is at the sharpest corner of the right 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 square at the middle of a side, but point X is at a corner and it meets the right triangle at the middle of the longer leg, but point Y is at the sharpest corner.
• B: The line ends in the wrong place: it meets the right triangle at the middle of the slanted side, but point Y is at the sharpest corner.
• C (correct): The line joins a corner of the square to the sharpest corner of the right triangle, the same spots as points X and Y 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 right triangle at the middle of the shorter leg, but point Y is at the sharpest corner.

Answer: D

Check one letter at a time. Point E is at the right-angle corner of the right triangle, and point F is at a corner 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 sharpest corner, but point E is at the right-angle corner.
• B: The line ends in the wrong place: it meets the right triangle at the middle of the shorter leg, but point E is at the right-angle corner.
• C: The line ends in the wrong place: it meets the right triangle at the middle of the slanted side, but point E is at the right-angle corner and it meets the triangle at the middle of a side, but point F is at a corner.
• D (correct): The line joins the right-angle corner of the right triangle to a corner of the triangle, the same spots as points E and F in the left box; turning a shape does not move a point on it.

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 pentagon.

• A: A cut is in a different place, so the pieces do not match: one piece here covers about 38% of the shape, but the matching piece in the left box covers about 47%.
• B: This figure has 4 pieces, but the left box has 3. Every piece must be used once, and nothing may be added.
• C (correct): This pentagon is made of exactly the 3 pieces in the left box, each only turned and slid into place.
• D: This figure is a hexagon. 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 G is at the top of the curved side of the half-circle, and point H 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 half-circle at a corner of the flat side, but point G is at the top of the curved side.
• B: The line ends in the wrong place: it meets the house shape at the middle of the bottom side, but point H is at the peak of the roof.
• C: The line ends in the wrong place: it meets the half-circle at the middle of the flat side, but point G is at the top of the curved side.
• D (correct): The line joins the top of the curved side of the half-circle to the peak of the roof of the house shape, the same spots as points G and H in the left box; turning a shape does not move a point on it.

Answer: A

Check one letter at a time. Point P is at a corner of the flat side of the half-circle, and point Q is at the center of the rectangle. 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 flat side of the half-circle to the center of the rectangle, the same spots as points P and Q 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 rectangle at the middle of a long side, but point Q is at the center.
• C: One of the shapes here is a square, but the left box has a rectangle. Joining parts never changes a shape.
• D: The line ends in the wrong place: it meets the half-circle at the top of the curved side, but point P is at a corner of the flat 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 square.

• A: This figure is a rectangle. The pieces in the left box do not have these shapes, so they cannot fill this outline without gaps or overlaps.
• B: This figure has 4 pieces, but the left box has 3. Every piece must be used once, and nothing may be added.
• C (correct): This square is made of exactly the 3 pieces in the left box, each only turned and slid into place.
• D: A cut is in a different place, so the pieces do not match: one piece here covers about 41% of the shape, but the matching piece in the left box covers about 31%.

Answer: C

Check one letter at a time. Point M is at the middle of a side of the pentagon, 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 pentagon at the center, but point M is at the middle of a side.
• B: One of the shapes here is a hexagon, but the left box has a pentagon. Joining parts never changes a shape.
• C (correct): The line joins the middle of a side of the pentagon 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.
• D: The line ends in the wrong place: it meets the house shape at the middle of the bottom side, but point N is at the peak of the roof.

Answer: D

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: This figure has 4 pieces, but the left box has 3. Every piece must be used once, and nothing may be added.
• B: A cut is in a different place, so the pieces do not match: one piece here covers about 14% of the shape, but the matching piece in the left box covers about 28%.
• 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 (correct): This triangle is made of exactly the 3 pieces in the left box, each only turned and slid into place.

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 parallelogram.

• A: This figure is a rectangle. The pieces in the left box do not have these shapes, so they cannot fill this outline without gaps or overlaps.
• B (correct): This parallelogram is made of exactly the 4 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 33% of the shape, but the matching piece in the left box covers about 42%.
• D: A cut is in a different place, so the pieces do not match: one piece here covers about 34% of the shape, but the matching piece in the left box covers about 26%.

Answer: B

Check one letter at a time. Point T is at the middle of a side of the triangle, and point U 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: One of the shapes here is a hexagon, but the left box has a pentagon. Joining parts never changes a shape.
• B (correct): The line joins the middle of a side of the triangle to the center of the pentagon, the same spots as points T and U 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 triangle at a corner, but point T is at the middle of a side.
• D: The line ends in the wrong place: it meets the pentagon at the middle of a side, but point U is at the center.

Answer: B

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 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: One of the shapes here is a hexagon, but the left box has a pentagon. Joining parts never changes a shape.
• B (correct): The line joins the middle of a short side of the rectangle to the middle of a side 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.
• C: The line ends in the wrong place: it meets the rectangle at the center, but point M is at the middle of a short side.
• D: The line ends in the wrong place: it meets the pentagon at a corner, but point N is at the middle of a 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 parallelogram.

• A: A cut is in a different place, so the pieces do not match: one piece here covers about 45% of the shape, but the matching piece in the left box covers about 34%.
• B: A cut is in a different place, so the pieces do not match: one piece here covers about 17% of the shape, but the matching piece in the left box covers about 24%.
• C (correct): This parallelogram is made of exactly the 4 pieces in the left box, each only turned and slid into place.
• D: This figure is a rectangle. The pieces in the left box do not have these shapes, so they cannot fill this outline without gaps or overlaps.