Grade 5 Geometry Worksheets

Free printable geometry practice for Grade 5 students. Generate problems, solve them on screen or paper, and download as PDF.

Practice Worksheet

Grade 5 Geometry Practice

Solve each problem. Show your work.

  1. 1.
    Two angles form a straight line. One angle is 59°. Find the other angle.
  2. 2.
    Reflect the point (0, 4) across the y-axis. Give the new coordinates.
  3. 3.
    What is the sum of the interior angles of a 6-sided polygon?
  4. 4.
    Two angles form a straight line. One angle is 152°. Find the other angle.
  5. 5.
    Reflect the point (0, 5) across the y-axis. Give the new coordinates.
  6. 6.
    What is the sum of the interior angles of a 7-sided polygon?
Show answer key
  1. Question 1: 121°
  2. Question 2: (0, 4)
  3. Question 3: 720°
  4. Question 4: 28°
  5. Question 5: (0, 5)
  6. Question 6: 900°

Free Practice Worksheets

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Foundations

Build confidence with approachable problems

6 problems

Solve each problem. Take your time.

  1. 1.
    Calculate the volume of a rectangular prism with length 4 cm, width 3 cm, and height 2 cm (Volume = length × width × height).
  2. 2.
    Find the area of a triangle with a base of 6 cm and a height of 4 cm (Area = 1/2 × base × height).
  3. 3.
    A point is located at (3, 5) on a coordinate plane. If you move the point 2 units to the right and 1 unit up, what are the new coordinates?
  4. 4.
    In a right triangle, one angle is 90 degrees and another is 30 degrees. What is the measure of the third angle? (Hint: The sum of angles in a triangle is 180 degrees).
  5. 5.
    A square has a side length of 5 cm. What is the total surface area of the square? (Area = side × side).
  6. 6.
    If a rectangle has a length of 8 cm and a width of 4 cm, what is the perimeter? (Perimeter = 2 × length + 2 × width).
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On Level — Mixed Review

A selection of topic skills

6 problems

Solve each problem. Show your work.

  1. 1.
    Calculate the volume of a rectangular prism with a length of 8 cm, a width of 4 cm, and a height of 5 cm.
  2. 2.
    A triangle has two angles measuring 45 degrees and 65 degrees. What is the measure of the third angle?
  3. 3.
    A rectangle has a length of 12 meters and a width of 7 meters. What is the perimeter of the rectangle?
  4. 4.
    Point A is located at (2, 5) on a coordinate plane. If you translate the point 3 units to the right and 2 units down, what are the new coordinates of Point A?
  5. 5.
    A local park is building a rectangular sandbox that is 6 feet long and 4 feet wide. If they want to fill it with sand to a depth of 2 feet, how many cubic feet of sand will they need to buy?
  6. 6.
    A tile designer is creating a pattern using squares. If one square tile has a side length of 5 inches, what is the total area of a rectangular border made by lining up 10 of these tiles in a single row?
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What Your Child Will Learn

Grade 5 geometry deepens the study of angles by having students calculate unknown angles in triangles and quadrilaterals using the fact that angles in a triangle sum to 180 degrees. This introduces geometric reasoning as a form of problem-solving, distinct from pure measurement.

Students also study the properties of triangles more closely, classifying them by side length (scalene, isosceles, equilateral) and by angle (acute, right, obtuse). Transformations become more formal, with students performing and describing translations, reflections, and rotations on a coordinate grid using ordered pairs. Students construct three-dimensional objects from nets and predict what net will fold into a given prism or pyramid, strengthening the connection between two- and three-dimensional spatial reasoning.

Skills Covered

  • Calculating unknown angles using the triangle angle sum
  • Classifying triangles by side length and by angle
  • Performing translations, reflections, and rotations on a coordinate grid
  • Describing transformations using ordered pairs
  • Matching nets to the three-dimensional figures they form
  • Constructing prisms and pyramids from nets

Curriculum Aligned: Aligned with Strand E (Spatial Sense): representing transformations using coordinates and applying angle relationships to solve geometric problems.

Parent Tip: Grid paper is invaluable here — have your child plot a shape, then draw what it looks like after a slide, flip, or turn, and check it against the original to confirm the transformation was applied correctly.

What your child will practice

Practice core geometry skills aligned with Grade 5 curriculum standards, including problem-solving and conceptual understanding.

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Frequently Asked Questions

Why is geometry important in math?

Geometry develops spatial reasoning, logical thinking, and proof skills. It connects math to the physical world through shapes, measurements, and transformations.

How can I support geometry learning at home?

Build with blocks, identify shapes in the environment, measure rooms, and use drawing tools. Hands-on activities make geometry concepts concrete.

What geometry topics are covered in each grade?

K-2: identifying shapes and their properties. Grades 3-5: area, perimeter, angles. Grades 6-8: coordinate geometry, transformations, volume. Grades 9-12: proofs, trigonometry, circles.

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