6th Grade Area of Triangles and Polygons Test with Point Values (PDF)

6th Grade math test: Area of Triangles and Polygons – Maths PDF

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This area polygons test for 6th Grade covers area of triangles and polygons (Common Core 6.G.A.1), with a free PDF to print.

This 45-minute test has 9 questions worth 20 points. It covers the area of triangles, parallelograms, trapezoids, and composite shapes, including missing dimensions and real-world costs (Common Core 6.G.A.1). Show your work.

Time and points

About this test

Grade: Grade 6
Chapter: Area of Triangles and Polygons
Standards: 6.G.A.1
Time: 45 minutes
Total: 20 points

Area polygons test: questions

Question 1 – Triangle [2 pts]

A triangle.

Find the area of the triangle.

Question 2 – Parallelogram [2 pts]

A parallelogram.

Find the area of the parallelogram.

Question 3 – Trapezoid [2 pts]

A trapezoid.

Find the area of the trapezoid.

Question 4 – Find a missing dimension [2 pts]

A triangle has an area of 36 square centimeters and a height of 9 centimeters. Find the base.

Question 5 – Composite shape [2 pts]

An L-shaped lot.

Find the area of the shape.

Question 6 – House front [2 pts]

A house front.

Find the area of the shape.

Question 7 – Coordinate triangle [2 pts]

A triangle on a grid.

Find the area of the triangle with vertices (1, 1), (7, 1), and (3, 5).

Question 8 – Roof cost [3 pts]

A roof has two identical triangular sections. Each has a base of 20 feet and a height of 6 feet. Shingles cost $2.50 per square foot. Find the total cost to cover both sections.

Question 9 – Garden plan [3 pts]

A garden.

Maya plants a trapezoid garden. Find its area. If one bag of mulch covers 14 square feet, find how many bags she needs.

Key facts behind this area polygons test

Key facts

Rectangle and parallelogram: A = bh.
Triangle: A = (1/2)bh.
Trapezoid: split into two triangles, or use A = (1/2)(b1 + b2)h.
The height is perpendicular to the base, not the slanted side.
Area is measured in square units.

How to use this area polygons 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 6 chapters: Grade 6 math.

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