Grade 5 Math Practice Test: Classifying Two-Dimensional Figures
- Classifying Two-Dimensional Figures
- 10 questions
- 12 minutes
This test covers properties of triangles and quadrilaterals and how shapes belong to more than one category, such as a square being a kind of rectangle. Tip: a shape belongs to every category whose rules it follows.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
Which statement is always true?
Correct answer: C
A rectangle needs four right angles and opposite sides parallel; every square has these. A rectangle like 3 cm by 7 cm is not a square, so the first statement is false.
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Question 2
A quadrilateral has four sides of equal length and four right angles. What is the most specific name for it?
Correct answer: B
Four equal sides and four right angles make a square. It is also a rhombus, a rectangle and a parallelogram, but "square" is the most specific name.
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Question 3
A quadrilateral has four sides of equal length, but none of its angles are right angles. What is it?
Correct answer: A
A quadrilateral with four equal sides is a rhombus. It cannot be a square or a rectangle, because those need right angles.
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Question 4
A triangle has sides that are 5 cm, 5 cm and 8 cm long. What kind of triangle is it?
Correct answer: D
A triangle with at least two equal sides is isosceles. It is not equilateral, because the third side is a different length, and it is not scalene, because two sides match.
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Question 5
A triangle has one 90° angle and sides that are 3 inches, 4 inches and 5 inches long. Which name describes it?
Correct answer: B
The 90° angle makes it a right triangle, and since all three sides have different lengths, it is scalene. Right isosceles would need two equal sides.
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Question 6
A triangle has angles of 40°, 60° and 80°. How is it classified by its angles?
Correct answer: A
All three angles are less than 90°, so the triangle is acute. An obtuse triangle needs one angle greater than 90°.
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Question 7
Which property do all parallelograms have?
Correct answer: C
A parallelogram is a quadrilateral with two pairs of parallel sides. Right angles and equal sides belong only to some parallelograms, such as rectangles and rhombuses.
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Question 8
Jay says, "A quadrilateral with four right angles must be a square."
Which shape shows that Jay is wrong?
Correct answer: B
A 3 cm by 7 cm rectangle has four right angles but is not a square. The square agrees with Jay, and the rhombus and triangle do not have four right angles.
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Question 9
Which list goes from the most general category to the most specific?
Correct answer: D
Every square is a rectangle, every rectangle is a parallelogram, and every parallelogram is a quadrilateral. So quadrilateral is the most general and square the most specific. The first list is in the reverse order.
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Question 10
A regular polygon has all sides equal and all angles equal. Which shape is a regular polygon?
Correct answer: C
An equilateral triangle has three equal sides and three equal 60° angles. The rhombus has equal sides but unequal angles, and the rectangle has equal angles but unequal sides.
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