Assembling Objects Practice Test 1

Answer: B

Check one letter at a time. Point E is at a corner of the short side of the trapezoid, and point F is at the middle of a long side 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: The line ends in the wrong place: it meets the rectangle at the center, but point F is at the middle of a long side.
• B (correct): The line joins a corner of the short side of the trapezoid to the middle of a long side of the rectangle, the same spots as points E and F 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 trapezoid at the middle of a slanted side, but point E is at a corner of the short side and it meets the rectangle at the middle of a short side, but point F is at the middle of a long side.
• D: The line ends in the wrong place: it meets the trapezoid at the middle of the short side, but point E is at a corner of the short side.

Answer: C

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 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 pentagon at a corner, but point T is at the middle of a side and it meets the parallelogram at a wide corner, but point U is at the center.
• B: The line ends in the wrong place: it meets the parallelogram at a wide corner, but point U is at the center.
• C (correct): The line joins the middle of a side of the pentagon to the center of the parallelogram, the same spots as points T and U 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 parallelogram at the middle of a short side, but point U is at the center.

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 diamond.

• A: This figure has 4 pieces, but the left box has 3. Every piece must be used once, and nothing may be added.
• 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 58% of the shape, but the matching piece in the left box covers about 47%.
• D (correct): This diamond is made of exactly the 3 pieces in the left box, each only turned and slid into place.

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 51% of the shape, but the matching piece in the left box covers about 43%.
• 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: D

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

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 half-circle.

• A: This figure is a trapezoid. 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: 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 27%.
• D (correct): This half-circle is made of exactly the 3 pieces in the left box, each only turned and slid into place.

Answer: B

Check one letter at a time. Point J is at a corner of the flat side of the half-circle, and point K is at the middle of the long side of the trapezoid. 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 the middle of the flat side, but point J is at a corner of the flat side and it meets the trapezoid at the middle of the short side, but point K is at the middle of the long side.
• B (correct): The line joins a corner of the flat side of the half-circle to the middle of the long side of the trapezoid, the same spots as points J and K 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 half-circle at the top of the curved side, but point J is at a corner of the flat side.
• D: The line ends in the wrong place: it meets the trapezoid at a corner of the long side, but point K is at the middle of the long side.

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 rectangle.

• A: A cut is in a different place, so the pieces do not match: one piece here covers about 30% of the shape, but the matching piece in the left box covers about 22%.
• B (correct): This rectangle 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 55% of the shape, but the matching piece in the left box covers about 44%.
• 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 sharpest corner of the right triangle, and point N is at a corner of the flat side of the half-circle. 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 sharpest corner of the right triangle to a corner of the flat side of the half-circle, 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 half-circle at the top of the curved side, but point N is at a corner of the flat side.
• C: 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 sharpest corner.
• D: 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 sharpest corner.

Answer: A

Check one letter at a time. Point K is at the middle of the bottom side of the house shape, and point L is at the middle of the short side of the trapezoid. 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 the bottom side of the house shape to the middle of the short side of the trapezoid, the same spots as points K and L 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 trapezoid at a corner of the long side, but point L is at the middle of the short side.
• C: The line ends in the wrong place: it meets the house shape at the peak of the roof, but point K is at the middle of the bottom side and it meets the trapezoid at the middle of a slanted side, but point L is at the middle of the short side.
• D: The line ends in the wrong place: it meets the trapezoid at the middle of the long side, but point L is at the middle of the short side.

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 trapezoid.

• A: 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 24%.
• B: This figure is a parallelogram. The pieces in the left box do not have these shapes, so they cannot fill this outline without gaps or overlaps.
• C: This figure has 4 pieces, but the left box has 3. Every piece must be used once, and nothing may be added.
• D (correct): This trapezoid 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 triangle.

• A: A cut is in a different place, so the pieces do not match: one piece here covers about 56% of the shape, but the matching piece in the left box covers about 35%.
• B (correct): This triangle is made of exactly the 4 pieces in the left box, each only turned and slid into place.
• 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: 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 35%.

Answer: C

Check one letter at a time. Point K is at the middle of the short side of the trapezoid, and point L is at a corner of the flat side of the half-circle. 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 trapezoid at a corner of the long side, but point K is at the middle of the short side and it meets the half-circle at the middle of the flat side, but point L is at a corner of the flat side.
• B: The line ends in the wrong place: it meets the trapezoid at a corner of the long side, but point K is at the middle of the short side.
• C (correct): The line joins the middle of the short side of the trapezoid to a corner of the flat side of the half-circle, the same spots as points K and L 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 trapezoid at the middle of a slanted side, but point K is at the middle of the short side.

Answer: B

Check one letter at a time. Point G is at the middle of the short side of the trapezoid, and point H 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: The line ends in the wrong place: it meets the trapezoid at a corner of the long side, but point G is at the middle of the short side.
• B (correct): The line joins the middle of the short side of the trapezoid to a sharp corner 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.
• C: The line ends in the wrong place: it meets the parallelogram at the middle of a short side, but point H is at a sharp corner.
• D: The line ends in the wrong place: it meets the trapezoid at the middle of a slanted side, but point G is at the middle of the short side and it meets the parallelogram at a wide corner, but point H is at a sharp corner.

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 4 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 58% of the shape, but the matching piece in the left box covers about 37%.
• C: A cut is in a different place, so the pieces do not match: one piece here covers about 49% of the shape, but the matching piece in the left box covers about 37%.
• D: 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.