6th Grade The Coordinate Plane and Polygons Test with Point Values (PDF)

6th Grade math test: The Coordinate Plane and Polygons – Maths PDF

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This grade 6 coordinate plane test for 6th Grade covers the coordinate plane and polygons (Common Core 6.NS.C.6b, 6.NS.C.6c, 6.NS.C.8, 6.G.A.3), with a free PDF to print.

This 45-minute test has 9 questions worth 20 points. It covers ordered pairs, quadrants, reflections, distances, and polygons on the coordinate plane (Common Core 6.NS.C and 6.G.A.3). Show your work.

Time and points

About this test

Grade: Grade 6
Chapter: The Coordinate Plane and Polygons
Standards: 6.NS.C.6b, 6.NS.C.6c, 6.NS.C.8, 6.G.A.3
Time: 45 minutes
Total: 20 points

Grade 6 coordinate plane test: questions

Question 1 – Name the points [2 pts]

Points A, B, C, and D.

Write the ordered pair for each point and name its quadrant.

Question 2 – Plot points [2 pts]

Coordinate plane.

Plot the points \((-3, 2)\), \((0, -4)\), and \((4, 0)\).

Question 3 – Reflections [2 pts]

Reflect \((5, -3)\) across the x-axis.
Reflect \((-2, -7)\) across the y-axis.

Question 4 – Distance [2 pts]

Find the distance between \((-6, 4)\) and \((-6, -3)\).
Find the distance between \((-5, -2)\) and \((4, -2)\).

Question 5 – Rectangle [2 pts]

A rectangle has vertices \((-5, 2)\), \((3, 2)\), \((3, -1)\), and \((-5, -1)\). Find the perimeter and area.

Question 6 – Missing vertex [2 pts]

Three vertices of a rectangle are \((-3, -2)\), \((-3, 4)\), and \((2, 4)\). Find the fourth vertex.

Question 7 – Triangle area [3 pts]

A triangle.

A triangle has vertices (-3, 1), (3, 1), and (3, 5). Find the length of the base, the height, and the area.

Question 8 – Map problem [3 pts]

A map uses a grid where each unit is 1 mile. Town A is at (-4, 2), Town B is at (3, 2), and Town C is at (3, -5). Find the distance from A to B and from B to C. How far is the trip A to B to C?

Question 9 – Reflect a polygon [2 pts]

Rectangle R has vertices \((1, 1)\), \((4, 1)\), \((4, 3)\), and \((1, 3)\). Reflect it across the x-axis, then give the vertices of the new rectangle and name its quadrant.

Key facts behind this grade 6 coordinate plane test

Key facts

An ordered pair (x, y) gives the horizontal move first, then the vertical move.
The signs of x and y tell the quadrant.
Reflecting across the x-axis changes the sign of y; across the y-axis changes the sign of x.
Points that share a coordinate are a distance apart equal to the difference or sum of the absolute values.
Side lengths of a polygon on the plane give its perimeter and area.

How to use this grade 6 coordinate plane 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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