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ASVAB Assembling Objects Test 4

Assembling Objects Practice Test 4 opens with a heavy focus on connection-point items, where a line must join two labeled spots on separate shapes, and on mental rotation, where a piece may appear turned or flipped. It holds 15 questions with an 18-minute limit.

  • 15 questions
  • 18 minutes
  • Every answer explained
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Assembling Objects

15 questions · 18 min on the real test
Question 1 · AO · easy

The left box shows two shapes, each with a lettered point, and a line with the same two letters on its ends. Which figure shows how the shapes connect when each end of the line is attached to the point with the same letter?

Left box: a half-circle with point V at a corner of the flat side, a trapezoid with point W at the middle of the short side, and a separate line with end V and end W.
Show the answer

Answer: D

Check one letter at a time. Point V is at a corner of the flat side of the half-circle, and point W 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: The line ends in the wrong place: it meets the trapezoid at the middle of the long side, but point W is at the middle of the short side.
  • B: The line ends in the wrong place: it meets the half-circle at the middle of the flat side, but point V is at a corner of the flat side and it meets the trapezoid at a corner of the short side, but point W is at the middle of the short side.
  • C: The line ends in the wrong place: it meets the trapezoid at a corner of the long side, but point W is at the middle of the short side.
  • D (correct): The line joins a corner of the flat side of the half-circle to the middle of the short side of the trapezoid, the same spots as points V and W in the left box; turning a shape does not move a point on it.
Question 2 · AO · easy

The left box shows separate flat pieces. Which figure shows how the pieces look when they are fitted together?

Left box: 2 separate flat pieces: a four-sided piece (about 53% of the total area), a triangle (about 47% of the total area).
Show the answer

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: 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 69% of the shape, but the matching piece in the left box covers about 53%.
  • 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.
Question 3 · AO · easy

The left box shows two shapes, each with a lettered point, and a line with the same two letters on its ends. Which figure shows how the shapes connect when each end of the line is attached to the point with the same letter?

Left box: a rectangle with point R at the middle of a long side, a trapezoid with point S at a corner of the long side, and a separate line with end R and end S.
Show the answer

Answer: D

Check one letter at a time. Point R is at the middle of a long side of the rectangle, and point S is at a corner 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 trapezoid at the middle of a slanted side, but point S is at a corner of the long side.
  • B: The line ends in the wrong place: it meets the rectangle at a corner, but point R is at the middle of a long side.
  • C: The line ends in the wrong place: it meets the rectangle at the center, but point R is at the middle of a long side and it meets the trapezoid at the middle of a slanted side, but point S is at a corner of the long side.
  • D (correct): The line joins the middle of a long side of the rectangle to a corner of the long side of the trapezoid, the same spots as points R and S in the left box; turning a shape does not move a point on it.
Question 4 · AO · easy

The left box shows separate flat pieces. Which figure shows how the pieces look when they are fitted together?

Left box: 3 separate flat pieces: a five-sided piece (about 55% of the total area), a four-sided piece (about 23% of the total area), a four-sided piece (about 22% of the total area).
Show the answer

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 pentagon.

  • A: 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.
  • 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 22%.
  • D (correct): This pentagon is made of exactly the 3 pieces in the left box, each only turned and slid into place.
Question 5 · AO · medium

The left box shows two shapes, each with a lettered point, and a line with the same two letters on its ends. Which figure shows how the shapes connect when each end of the line is attached to the point with the same letter?

Left box: a pentagon with point G at the center, a house shape with point H at a bottom corner, and a separate line with end G and end H.
Show the answer

Answer: A

Check one letter at a time. Point G is at the center of the pentagon, and point H is at a bottom corner 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 (correct): The line joins the center of the pentagon to a bottom corner 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.
  • B: One of the shapes here is a hexagon, but the left box has a pentagon. Joining parts never changes a shape.
  • C: The line ends in the wrong place: it meets the pentagon at a corner, but point G is at the center.
  • D: The line ends in the wrong place: it meets the house shape at the peak of the roof, but point H is at a bottom corner.
Question 6 · AO · medium

The left box shows separate flat pieces. Which figure shows how the pieces look when they are fitted together?

Left box: 3 separate flat pieces: a four-sided piece (about 46% of the total area), a four-sided piece (about 34% of the total area), a four-sided piece (about 19% of the total area).
Show the answer

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 square.

  • A: A cut is in a different place, so the pieces do not match: one piece here covers about 70% of the shape, but the matching piece in the left box covers about 46%.
  • B (correct): This square is made of exactly the 3 pieces in the left box, each only turned and slid into place.
  • C: 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.
  • D: This figure has 4 pieces, but the left box has 3. Every piece must be used once, and nothing may be added.
Question 7 · AO · medium

The left box shows two shapes, each with a lettered point, and a line with the same two letters on its ends. Which figure shows how the shapes connect when each end of the line is attached to the point with the same letter?

Left box: a trapezoid with point R at a corner of the short side, a rectangle with point S at the center, and a separate line with end R and end S.
Show the answer

Answer: A

Check one letter at a time. Point R is at a corner of the short side of the trapezoid, and point S 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 short side of the trapezoid to the center of the rectangle, 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 trapezoid at a corner of the long side, but point R is at a corner of the short side.
  • 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 rectangle at a corner, but point S is at the center.
Question 8 · AO · medium

The left box shows two shapes, each with a lettered point, and a line with the same two letters on its ends. Which figure shows how the shapes connect when each end of the line is attached to the point with the same letter?

Left box: a diamond with point T at a sharp corner, a trapezoid with point U at a corner of the short side, and a separate line with end T and end U.
Show the answer

Answer: A

Check one letter at a time. Point T is at a sharp corner of the diamond, and point U is at a corner 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 a sharp corner of the diamond to a corner of the short side of the trapezoid, the same spots as points T and U 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 the middle of the short side, but point U is at a corner of the short side.
  • C: The line ends in the wrong place: it meets the diamond at the middle of a side, but point T is at a sharp corner.
  • D: The line ends in the wrong place: it meets the diamond at a wide corner, but point T is at a sharp corner and it meets the trapezoid at the middle of the long side, but point U is at a corner of the short side.
Question 9 · AO · medium

The left box shows two shapes, each with a lettered point, and a line with the same two letters on its ends. Which figure shows how the shapes connect when each end of the line is attached to the point with the same letter?

Left box: a triangle with point J at a corner, a trapezoid with point K at the middle of a slanted side, and a separate line with end J and end K.
Show the answer

Answer: D

Check one letter at a time. Point J is at a corner of the triangle, and point K is at the middle of a slanted 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 triangle at the center, but point J is at a corner and it meets the trapezoid at the middle of the short side, but point K is at the middle of a slanted side.
  • B: The line ends in the wrong place: it meets the trapezoid at the middle of the long side, but point K is at the middle of a slanted side.
  • C: The line ends in the wrong place: it meets the triangle at the middle of a side, but point J is at a corner.
  • D (correct): The line joins a corner of the triangle to the middle of a slanted 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.
Question 10 · AO · medium

The left box shows separate flat pieces. Which figure shows how the pieces look when they are fitted together?

Left box: 3 separate flat pieces: a piece with a curved side (about 57% of the total area), a piece with a curved side (about 24% of the total area), a piece with a curved side (about 19% of the total area).
Show the answer

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 circle.

  • A: 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 57%.
  • 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 circle 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 57%.
Question 11 · AO · medium

The left box shows separate flat pieces. Which figure shows how the pieces look when they are fitted together?

Left box: 3 separate flat pieces: a five-sided piece (about 58% of the total area), a triangle (about 24% of the total area), a four-sided piece (about 18% of the total area).
Show the answer

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 rectangle.

  • A: 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 58%.
  • 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 rectangle is made of exactly the 3 pieces in the left box, each only turned and slid into place.
  • 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.
Question 12 · AO · hard

The left box shows separate flat pieces. Which figure shows how the pieces look when they are fitted together?

Left box: 4 separate flat pieces: a piece with a curved side (about 36% of the total area), a piece with a curved side (about 29% of the total area), a piece with a curved side (about 18% of the total area), a piece with a curved side (about 17% of the total area).
Show the answer

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 circle.

  • A: A cut is in a different place, so the pieces do not match: one piece here covers about 20% of the shape, but the matching piece in the left box covers about 29%.
  • B (correct): This circle 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 52% of the shape, but the matching piece in the left box covers about 36%.
  • 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.
Question 13 · AO · hard

The left box shows two shapes, each with a lettered point, and a line with the same two letters on its ends. Which figure shows how the shapes connect when each end of the line is attached to the point with the same letter?

Left box: a square with point G at the middle of a side, a half-circle with point H at the middle of the flat side, and a separate line with end G and end H.
Show the answer

Answer: C

Check one letter at a time. Point G is at the middle of a side of the square, and point H is at the middle 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: One of the shapes here is a diamond, but the left box has a square. Joining parts never changes a shape.
  • B: The line ends in the wrong place: it meets the half-circle at a corner of the flat side, but point H is at the middle of the flat side.
  • C (correct): The line joins the middle of a side of the square to the middle of the flat side of the half-circle, the same spots as points G and H 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 square at a corner, but point G is at the middle of a side.
Question 14 · AO · hard

The left box shows separate flat pieces. Which figure shows how the pieces look when they are fitted together?

Left box: 4 separate flat pieces: a five-sided piece (about 43% of the total area), a triangle (about 24% of the total area), a four-sided piece (about 16% of the total area), a four-sided piece (about 16% of the total area).
Show the answer

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 parallelogram.

  • A (correct): This parallelogram is made of exactly the 4 pieces in the left box, each only turned and slid into place.
  • B: 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.
  • C: A cut is in a different place, so the pieces do not match: one piece here covers about 32% of the shape, but the matching piece in the left box covers about 24%.
  • D: 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%.
Question 15 · AO · hard

The left box shows two shapes, each with a lettered point, and a line with the same two letters on its ends. Which figure shows how the shapes connect when each end of the line is attached to the point with the same letter?

Left box: a triangle with point X at the center, a right triangle with point Y at the middle of the longer leg, and a separate line with end X and end Y.
Show the answer

Answer: A

Check one letter at a time. Point X is at the center of the triangle, and point Y is at the middle of the longer leg 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 (correct): The line joins the center of the triangle to the middle of the longer leg 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.
  • 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 middle of the longer leg.
  • C: The line ends in the wrong place: it meets the triangle at a corner, but point X is at the center and it meets the right triangle at the sharpest corner, but point Y is at the middle of the longer leg.
  • D: The line ends in the wrong place: it meets the triangle at a corner, but point X is at the center.

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About this test

Part-to-whole assembly, hidden edges, distractor elimination, speed and visual scanning, and mixed strategy all appear too, so the form touches every one of the eight AO lessons, with spatial orientation basics rounding out the set. The difficulty mix is 4 easy, 7 medium and 4 hard. These are original ASVAB-style puzzles, and none is repeated in the other practice tests.

Try to keep an even pace of a little over a minute per item. If a rotation gets stuck in your head, mark a choice and move on. Afterward, the explanations walk through how each correct figure fits together, which makes them useful for retraining your eye. Keep in mind the result is practice accuracy for this form only and does not stand in for any ASVAB score.

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