5th Grade Classifying Two-Dimensional Figures Test with Answer Key (Free PDF)

Q: How do I explain that a statement about shapes is false?

Give a counterexample and name the property that fails. Also, to show that not every parallelogram is a rectangle, describe a slanted parallelogram. It has two pairs of parallel sides but no right angles.

Q: How do I read a tree diagram of shapes?

Start at the top with the general group and follow each branch as a property is added. Each box holds a smaller group. The shape in a box must have every property along its path.

5th grade classifying shapes test – Maths PDF

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This 5th grade classifying shapes test covers classifying two-dimensional figures (Common Core 5.G.B.3, 5.G.B.4), with a free PDF to print.

Key takeaway: Also, this test helps fifth grade students show that they can classify quadrilaterals and triangles, sort shapes in diagrams, and explain how categories overlap.

Topic: Classifying Two-Dimensional Figures (5th grade)
Content: 8 questions with point values, about 45 minutes
Standards: 5.G.B.3, 5.G.B.4
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

Also, this test helps fifth grade students show that they can classify quadrilaterals and triangles, sort shapes in diagrams, and explain how categories overlap. Also, it is worth 20 points and takes 45 minutes.

Then, the eight questions begin with naming shapes from marked figures, then ask true or false questions with explanations. Then, later questions classify a triangle, use a Venn diagram, classify a triangle from side lengths, complete a tree diagram, and respond to a classmate’s claim. Also, the last question asks which shapes must have four right angles. Then, show your reasoning for full credit.

Next, this 45-minute test covers classifying quadrilaterals and triangles by their properties, and using Venn and tree diagrams (5.G.B.3 and 5.G.B.4). There are 8 questions worth 20 points. Give reasons whenever a question asks you to explain.

Time and points

About this test

In addition, Grade: Grade 5
Now, Chapter: Classifying Two-Dimensional Figures
So, Standards: 5.G.B.3, 5.G.B.4
Also, Time: 45 minutes
Then, Total: 20 points

5th grade classifying shapes test: questions

1 – Name each shape [4 pts]

First, write the most specific name for each shape. Marks show equal sides, right angles and parallel sides.

Shapes A, B, C and D.

2 – True or false [2 pts]

Next, Answer each part.

In addition, every rhombus is a parallelogram. Is this true or false? Explain. (1 point)
Now, every parallelogram is a rectangle. Is this true or false? Explain. (1 point)

3 – Classify the triangle [2 pts]

So, Classify the triangle by its sides and by its angles.

A triangle.

4 – Venn diagram [3 pts]

Now, write each shape in the correct region of the Venn diagram: a square, a rectangle that is 6 cm by 3 cm, and a rhombus with angles of 60° and 120°.

A Venn diagram to complete.

Question 5 and after

5 – Right triangle [2 pts]

Also, solve. A triangle has sides 6 in, 8 in and 10 in, and one angle is a right angle. Classify the triangle by its sides and by its angles.

6 – Complete the tree diagram [3 pts]

First, complete the tree diagram. Write the name of each shape in the box with the same letter. Box A: a quadrilateral with two pairs of parallel sides. Box B: a parallelogram with 4 equal sides. Box C: a shape with 4 equal sides and 4 right angles.

A tree diagram of the quadrilateral family.

7 – Liam's claim [2 pts]

Next, solve. Liam says, “A square is not a rhombus, because a rhombus looks slanted.” Is he correct? Explain.

8 – Four right angles [2 pts]

Then, solve. Which of these shapes must have four right angles: square, rhombus, rectangle, parallelogram, trapezoid?

Key facts behind this 5th grade classifying shapes test

Key facts

Also, a quadrilateral has 4 sides; a parallelogram has two pairs of parallel sides.
Next, a rectangle has 4 right angles; a rhombus has 4 equal sides; a square has both.
Then, every square is a rectangle and a rhombus, but not every rectangle is a square.
Next, Triangles by sides: equilateral, isosceles, scalene.
In addition, Triangles by angles: acute, right, obtuse.

Common mistakes with this 5th grade classifying shapes test

Now, Students pick a general name when the figure supports a specific one. Instead, use the marks to decide whether the shape is a square, rectangle, or rhombus.
So, Students answer true or false without a reason. Also, each part of a true or false question asks for an explanation.
Also, Students place a shape in the wrong region of a Venn diagram. Instead, check each property for each shape.
Then, Students agree with a claim that a shape must look a certain way. Also, check the definition, not the picture.

Test-taking strategy

Next, read the marks on every figure first. Finally, equal sides, parallel sides, and right angles decide the name.
In addition, for explanation questions, write one sentence with a property. Also, a short, exact reason earns full credit. Repeat this habit on every problem for the best results.
Now, Parents can review the night before by drawing a Venn diagram of rectangles and rhombuses and asking where a square goes.

So, Download the 5th grade classifying shapes test as a PDF with the button below and keep it with your notes.

5th grade classifying shapes test: frequently asked questions

How do I explain that a statement about shapes is false?

Also, give a counterexample and name the property that fails. Also, to show that not every parallelogram is a rectangle, describe a slanted parallelogram. It has two pairs of parallel sides but no right angles.

How do I read a tree diagram of shapes?

Then, start at the top with the general group and follow each branch as a property is added. Each box holds a smaller group. The shape in a box must have every property along its path.

Which shapes must have four right angles?

Next, Shapes defined by four right angles, such as rectangles and squares, always have them. A rhombus, a parallelogram, and a trapezoid may have none. Check the definition for each shape. A quick check like this takes only a few seconds and prevents most errors.

Now, all Grade 5 chapters: Grade 5 math.

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