Grade 6 Geometry Worksheets
Free printable geometry practice for Grade 6 students. Generate problems, solve them on screen or paper, and download as PDF.
Practice Worksheet
Grade 6 Geometry Practice
Solve each problem. Show your work.
- 1.Two angles form a straight line. One angle is 89°. Find the other angle.
- 2.Reflect the point (1, 3) across the y-axis. Give the new coordinates.
- 3.What is the sum of the interior angles of a 6-sided polygon?
- 4.Two angles form a straight line. One angle is 143°. Find the other angle.
- 5.Reflect the point (3, -7) across the y-axis. Give the new coordinates.
- 6.What is the sum of the interior angles of a 7-sided polygon?
Show answer key
- Question 1: 91°
- Question 2: (-1, 3)
- Question 3: 720°
- Question 4: 37°
- Question 5: (-3, -7)
- Question 6: 900°
Free Practice Worksheets
Print, solve on paper, then upload a photo for AI feedback and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Calculate the area of a triangle with a base of 6 cm and a height of 4 cm. (Area = 1/2 * base * height)
- 2.Calculate the area of a parallelogram with a base of 8 cm and a height of 5 cm. (Area = base * height)
- 3.Find the missing angle in a triangle if two angles are 50 degrees and 60 degrees. (Sum of angles in a triangle = 180 degrees)
- 4.A point is located at (3, 4) on a coordinate plane. If you reflect it across the y-axis, what are the new coordinates?
- 5.Find the surface area of a cube with a side length of 3 cm. (Surface Area = 6 * side²)
- 6.Find the volume of a rectangular prism with length 4 cm, width 2 cm, and height 3 cm. (Volume = length * width * height)
A selection of topic skills
Solve each problem. Show your work.
- 1.Calculate the area of a triangle with a base of 12 cm and a height of 7 cm.
- 2.A parallelogram has a base of 15 inches and a height of 9 inches. What is its area?
- 3.Two angles are complementary. If one angle measures 35 degrees, what is the measure of the other angle?
- 4.A point at (3, 5) on a coordinate plane is reflected across the y-axis. What are the new coordinates of the point?
- 5.Word Problem: A rectangular garden measures 8 meters by 6 meters. If you want to build a fence around the entire perimeter, how many meters of fencing will you need to buy?
- 6.Word Problem: A shipping box is a rectangular prism with a length of 10 cm, a width of 5 cm, and a height of 4 cm. What is the total volume of the box in cubic centimeters?
What Your Child Will Learn
Grade 6 geometry connects spatial reasoning directly to measurement by having students derive and apply area formulas for parallelograms and triangles, building each formula from their existing knowledge of rectangle area. Students see that a parallelogram can be rearranged into a rectangle of the same base and height, and that a triangle is exactly half of a parallelogram sharing the same base and height.
Students also study the properties of circles for the first time, identifying the radius, diameter, and circumference and exploring the relationship between them. Transformations are applied in combination, with students describing a shape after multiple successive translations, reflections, or rotations, and identifying the single transformation that would produce the same result. Congruence and similarity are distinguished formally, with students determining whether two shapes are congruent, similar, or neither.
Skills Covered
- Deriving and applying the area formula for parallelograms
- Deriving and applying the area formula for triangles
- Identifying the radius, diameter, and circumference of a circle
- Applying combinations of translations, reflections, and rotations
- Distinguishing congruent shapes from similar shapes
- Explaining why area formulas work using rectangle decomposition
Curriculum Aligned: Aligned with Strand E (Spatial Sense): determining the area of parallelograms and triangles, and describing the properties of circles and geometric transformations.
Parent Tip: Cut a paper parallelogram, rearrange the pieces into a rectangle, and measure — seeing the area formula emerge from cutting and rearranging makes it far more memorable than memorizing base times height.
What your child will practice
Practice core geometry skills aligned with Grade 6 curriculum standards, including problem-solving and conceptual understanding.
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Check my workFrequently 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.