Analyze and Compare Shapes - Sample Math Practice Problems

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Complexity=1, Mode=analy

Answer the questions by selecting any answers that go with the picture.

1.	Number of sides and corners: 3 4 6 None of the above Has sides and corners that are all the same: yes no
2.	Number of sides and corners: 3 4 6 None of the above Has sides and corners that are all the same: yes no

Complexity=1, Mode=compare

Answer the questions by selecting any answers that go with the picture.

1.   What is different about these shapes? The number of sides and corners One's sides are all the same length; the other doesn't None of the above

2.   How are these shapes alike? The number of sides and corners Each shape's sides are all the same length None of the above

Complexity=2, Mode=analy

Answer the questions by selecting any answers that go with the picture.

1.	Number of sharp corner points: 1 2 6 8 12 None of the above Number of straight sharp sides/edges: 1 2 6 8 12 None of the above Number of flat faces: 1 2 6 8 12 None of the above Has a curved face: yes no
2.	Number of sharp corner points: 1 2 6 8 12 None of the above Number of straight sharp sides/edges: 1 2 6 8 12 None of the above Number of flat faces: 1 2 6 8 12 None of the above Has a curved face: yes no

Complexity=2, Mode=compare

Answer the questions by selecting any answers that go with the picture.

1.   How are these shapes alike? The number of sides, corners, and faces Each has at least one sharp corner point (vertex) Each has at least one circular face Each has at least one curved surface None of the above

2.   What is different about these shapes? The number of sides, corners, and faces One has a sharp corner point (vertex); the other doesn't One has a circular face; the other doesn't One has a curved surface; the other doesn't None of the above

Complexity=3, Mode=compare

Answer the questions by selecting any answers that go with the picture.

1.   How are these shapes alike? The number of sides, corners, and faces Each has at least one sharp corner point (vertex) Each has at least one circular face Each has at least one curved surface None of the above

2.   How are these shapes alike? The number of sides, corners, and faces Each has at least one sharp corner point (vertex) Each has at least one circular face Each has at least one curved surface None of the above

Answers

Complexity=1, Mode=analy

Answer the questions by selecting any answers that go with the picture.

#	Problem	Correct Answer	Your Answer
1		Number of sides and corners: 3 4 6 None of the above Has sides and corners that are all the same: yes no

#	Problem	Correct Answer	Your Answer
2		Number of sides and corners: 3 4 6 None of the above Has sides and corners that are all the same: yes no

Complexity=1, Mode=compare

Answer the questions by selecting any answers that go with the picture.

#	Problem	Correct Answer	Your Answer
1		What is different about these shapes? The number of sides and corners One's sides are all the same length; the other doesn't None of the above
Solution One shape has 3 sides, and one has 6. The hexagon has equal sides, but the triangle doesn't.

#	Problem	Correct Answer	Your Answer
2		How are these shapes alike? The number of sides and corners Each shape's sides are all the same length None of the above
Solution One shape has 4 sides, and one has 6; but each has equal sides.

Complexity=2, Mode=analy

Answer the questions by selecting any answers that go with the picture.

#	Problem	Correct Answer	Your Answer
1		Number of sharp corner points: 1 2 6 8 12 None of the above Number of straight sharp sides/edges: 1 2 6 8 12 None of the above Number of flat faces: 1 2 6 8 12 None of the above Has a curved face: yes no
Solution If it looks like there are straight edges, notice they are not sharp. You can roll a piece of paper into a cylinder, which needs no folding, and folding is what creates sharp sides. (You can still call it a cylinder without the circular bases.)

#	Problem	Correct Answer	Your Answer
2		Number of sharp corner points: 1 2 6 8 12 None of the above Number of straight sharp sides/edges: 1 2 6 8 12 None of the above Number of flat faces: 1 2 6 8 12 None of the above Has a curved face: yes no
Solution For faces, there are front, back, left, right, top, bottom -- that makes 6. For sides, there are 4 making up the top face, 4 making up the bottom (8 corners), and 4 that are connecting pairs of top-bottom corners to make up the sides -- that makes 12.

Complexity=2, Mode=compare

Answer the questions by selecting any answers that go with the picture.

#	Problem	Correct Answer	Your Answer
1		How are these shapes alike? The number of sides, corners, and faces Each has at least one sharp corner point (vertex) Each has at least one circular face Each has at least one curved surface None of the above
Solution A cylinder, like a sphere, has no sharp corners. it has 2 circular faces, but a sphere has none (no flat faces).

#	Problem	Correct Answer	Your Answer
2		What is different about these shapes? The number of sides, corners, and faces One has a sharp corner point (vertex); the other doesn't One has a circular face; the other doesn't One has a curved surface; the other doesn't None of the above
Solution A sphere is very different from a cube. It has no sharp corners or sides, or (flat) faces. It is just 1 curved surface, which a cube does not have.

Complexity=3, Mode=compare

Answer the questions by selecting any answers that go with the picture.

#	Problem	Correct Answer	Your Answer
1		How are these shapes alike? The number of sides, corners, and faces Each has at least one sharp corner point (vertex) Each has at least one circular face Each has at least one curved surface None of the above
Solution The cone has 1 corner point and 2 surfaces: a circular face and a curved surface.

#	Problem	Correct Answer	Your Answer
2		How are these shapes alike? The number of sides, corners, and faces Each has at least one sharp corner point (vertex) Each has at least one circular face Each has at least one curved surface None of the above
Solution A sphere is very different from a cube. It has no sharp corners or sides, or (flat) faces. It is just 1 curved surface, which a cube does not have.