5th Grade Classifying Two-Dimensional Figures Test with Point Values (PDF)

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

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
  • Grade: Grade 5
  • Chapter: Classifying Two-Dimensional Figures
  • Standards: 5.G.B.3, 5.G.B.4
  • Time: 45 minutes
  • Total: 20 points

Classify shapes test: questions

Question 1 – Name each shape [4 pts]

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

ABCD
Shapes A, B, C and D.

Question 2 – True or false [2 pts]

Answer each part.

  1. Every rhombus is a parallelogram. Is this true or false? Explain. (1 point)
  2. Every parallelogram is a rectangle. Is this true or false? Explain. (1 point)

Question 3 – Classify the triangle [2 pts]

Classify the triangle by its sides and by its angles.

12 cm10 cm10 cm53°53°74°
A triangle.

Question 4 – Venn diagram [3 pts]

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°.

4 equal sides4 right angles
A Venn diagram to complete.

Question 5 – Right triangle [2 pts]

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.

Question 6 – Complete the tree diagram [3 pts]

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.

QuadrilateralTrapezoidARectangleBC
A tree diagram of the quadrilateral family.

Question 7 – Liam's claim [2 pts]

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

Question 8 – Four right angles [2 pts]

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

See the solutions: Classifying Two-Dimensional Figures test solutions

Key facts behind this classify shapes test

Key facts
  • A quadrilateral has 4 sides; a parallelogram has two pairs of parallel sides.
  • A rectangle has 4 right angles; a rhombus has 4 equal sides; a square has both.
  • Every square is a rectangle and a rhombus, but not every rectangle is a square.
  • Triangles by sides: equilateral, isosceles, scalene.
  • Triangles by angles: acute, right, obtuse.

How to use this classify shapes test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 5 chapters: Grade 5 math.

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5th Grade Classifying Two-Dimensional Figures Test with Point Values

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