Testinar Grade 6 math

Distance on the Coordinate Plane

Students will build Grade 6 mastery of distance on the coordinate plane using models, equations, and test-style reasoning.

CH02-11 The Number System
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. What is the distance between the points \((2,3)\) and \((2,-5)\) on the coordinate plane?

    1. \(2\) units
    2. \(3\) units
    3. \(5\) units
    4. \(8\) units

  2. What is the distance between \((1,2)\) and \((5,2)\)?

    Distance on the Coordinate Plane visual for G6-C02-T11-Q002
    1. \(3\) units
    2. \(6\) units
    3. \(5\) units
    4. \(4\) units

  3. What is the distance between the points \((-3,4)\) and \((-3,-2)\) on the coordinate plane?

    1. \(4\) units
    2. \(5\) units
    3. \(6\) units
    4. \(7\) units

  4. Points \(P(0,-2)\) and \(Q(6,-2)\) are plotted on a coordinate plane. What is the distance from \(P\) to \(Q\)?

    1. \(4\) units
    2. \(5\) units
    3. \(6\) units
    4. \(7\) units

  5. What is the horizontal distance between \((1,3)\) and \((5,3)\)?

    Distance on the Coordinate Plane visual for G6-C02-T11-Q005
    1. \(3\) units
    2. \(4\) units
    3. \(5\) units
    4. \(6\) units

  6. The distance between points \((4,5)\) and \((4,y)\) is \(7\) units. The points have the same \(x\)-coordinate. What could \(y\) be?

    1. \(y=-3\) or \(y=12\)
    2. \(y=-2\) or \(y=12\)
    3. \(y=-1\) or \(y=11\)
    4. \(y=0\) or \(y=10\)

  7. Find the distance between \((3,0)\) and \((3,5)\).

    Distance on the Coordinate Plane visual for G6-C02-T11-Q007
    1. \(3\) units
    2. \(4\) units
    3. \(5\) units
    4. \(8\) units

  8. What is the distance from \((0,2)\) to \((5,2)\)?

    Distance on the Coordinate Plane visual for G6-C02-T11-Q009
    1. \(3\) units
    2. \(4\) units
    3. \(5\) units
    4. \(6\) units
Teacher and parent reference

Answer key and explanations

  1. D. \(8\) units

    The points share the \(x\)-coordinate, so the distance is the difference of the \(y\)-coordinates: \(|3-(-5)|=|3+5|=8\) units.

  2. D. \(4\) units

    The points share the same \(y\)-coordinate \((2)\), so the distance is the difference of the \(x\)-coordinates: \(|5-1|=4\) units.

  3. C. \(6\) units

    The \(x\)-coordinates are the same, so subtract the \(y\)-coordinates: \(|4-(-2)|=|4+2|=6\) units.

  4. C. \(6\) units

    Same \(y\)-coordinate \((-2)\): \(|6-0|=6\) units.

  5. B. \(4\) units

    Same \(y\)-coordinate: \(|5-1|=4\) units.

  6. B. \(y=-2\) or \(y=12\)

    Since \(|5-y|=7\), then \(y=5-7=-2\) or \(y=5+7=12\).

  7. C. \(5\) units

    Same \(x\)-coordinate \((3)\): \(|5-0|=5\) units.

  8. C. \(5\) units

    Same \(y\)-coordinate \((2)\): \(|5-0|=5\) units.

Free Testinar sample Reviewed November 6, 2026 testinar.com
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