Grade 7 Geometry Worksheets
Free printable geometry practice for Grade 7 students. Generate problems, solve them on screen or paper, and download as PDF.
Practice Worksheet
Grade 7 Geometry Practice
Solve each problem. Show your work.
- 1.Two angles form a straight line. One angle is 81°. Find the other angle.
- 2.Reflect the point (2, 2) across the y-axis. Give the new coordinates.
- 3.What is the sum of the interior angles of a 8-sided polygon?
- 4.Two angles form a straight line. One angle is 89°. Find the other angle.
- 5.Reflect the point (-3, -4) across the y-axis. Give the new coordinates.
- 6.What is the sum of the interior angles of a 9-sided polygon?
Show answer key
- Question 1: 99°
- Question 2: (-2, 2)
- Question 3: 1080°
- Question 4: 91°
- Question 5: (3, -4)
- Question 6: 1260°
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.Find the area of a triangle with a base of 8 cm and a height of 5 cm. (Formula: Area = 1/2 * base * height)
- 2.A point at (3, 4) on a coordinate plane is reflected across the x-axis. What are the new coordinates?
- 3.Two angles are complementary. If one angle measures 35 degrees, what is the measure of the other angle?
- 4.Calculate the surface area of a cube with a side length of 3 cm. (Formula: Surface Area = 6 * side²)
- 5.A triangle has angles measuring 60 degrees and 70 degrees. Find the measure of the third angle.
- 6.Translate a point at (-2, 5) by adding 4 to the x-coordinate and subtracting 2 from the y-coordinate. What is the new point?
A selection of topic skills
Solve each problem. Show your work.
- 1.A triangle has a base of 12 cm and a height of 7 cm. Calculate the area of the triangle.
- 2.Two angles are supplementary. If one angle measures 65 degrees, what is the measure of the other angle?
- 3.A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm. What is the total surface area of the prism?
- 4.A point at (3, -2) is reflected across the y-axis. What are the coordinates of the new point?
- 5.A park designer is creating a circular flower bed with a diameter of 10 feet. If they want to place a decorative border around the edge, how many feet of border material are needed? (Use 3.14 for pi).
- 6.A contractor is tiling a floor that measures 12 feet by 15 feet. Each tile is 1 foot by 1 foot and costs 2.50. If the contractor has a budget of 500, does he have enough money to cover the entire floor? Explain your reasoning.
Learn with examples, then practise on paper
Open these free lessons for visual examples, printable worksheets and worked answers. No account is needed. These are practice resources; completing one does not establish mastery of a whole topic.
- Coordinate Plane Practice
- Translations, Reflections and Rotations
- Similar Shapes and Scale Factors
- Area of a Circle Practice
- Circumference of a Circle Practice
- Cylinder Nets and Surface Area
What Your Child Will Learn
Grade 7 spatial sense connects shapes, movement and measurement. Students classify cylinders, pyramids and prisms using their properties and symmetries, draw scaled views, and investigate how dilation changes corresponding lengths while preserving similarity. On a Cartesian plane, they perform and predict translations, reflections and rotations.
Circle work connects radius, diameter and circumference, includes constructing circles from given measurements, and develops the area formula through relationships. Students draw cylinder nets to calculate surface area, and relate base area, height and volume for prisms and cylinders. Metric conversions, including square and cubic units, and the relationship between capacity and volume support these calculations. The free resources linked here provide selected examples and practice; they do not cover every expectation or serve as a complete assessment.
Skills Covered
- Classifying cylinders, pyramids and prisms, including their symmetries
- Drawing scaled views and explaining similarity through dilations
- Performing translations, reflections and rotations on a Cartesian plane
- Relating radius, diameter and circumference and constructing circles
- Explaining and using circle area and cylinder surface area
- Relating base area, height and volume with appropriate metric units
Curriculum Aligned: Ontario Grade 7 Strand E includes these spatial-sense and measurement expectations. Each linked public resource identifies its particular connection and any limits; a single worksheet is not evidence of the full strand.
Parent Tip: Ask your child to explain a diagram before using a formula. For example, on a cylinder net, identify the two circles and explain why the rectangle wraps around the circumference.
What your child will practice
Practice core geometry skills aligned with Grade 7 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.