Coordinate Graphing Quiz

Grade 5 · Math · Quiz

Practice plotting, reading, and interpreting points on the first-quadrant coordinate plane.

Questions

1. What are the coordinates of the origin?

   1. (1, 1)
   2. (0, 1)
   3. (0, 0)
   4. (1, 0)
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   Answer: (0, 0)

   The origin is where the x-axis and y-axis intersect at (0, 0).

2. In the ordered pair (5, 9), which number is the y-coordinate?

   1. 5
   2. 9
   3. 14
   4. 0
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   Answer: 9

   In (x, y), the second number is the y-coordinate. Here it is 9.

3. To plot (6, 2), you move:

   1. 2 right and 6 up
   2. 6 right and 2 up
   3. 6 up and 2 right
   4. 2 up and 6 right
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   Answer: 6 right and 2 up

   Always move right by x first, then up by y. Right 6, up 2.

4. Which point lies on the x-axis?

   1. (0, 5)
   2. (3, 3)
   3. (7, 0)
   4. (0, 0) only
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   Answer: (7, 0)

   Points on the x-axis have a y-coordinate of 0. (7, 0) fits.

5. A point is at (4, 4). If you move it 3 units to the right, where is it?

   1. (4, 7)
   2. (7, 4)
   3. (1, 4)
   4. (4, 1)
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   Answer: (7, 4)

   Moving right increases the x-coordinate. 4 + 3 = 7, so the new point is (7, 4).

6. The x-axis is the ___ number line on the coordinate plane.

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   Answer: horizontal

   The x-axis runs left to right (horizontally).

7. Point B is 0 units right and 4 units up. Its ordered pair is ___.

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   Answer: (0, 4)

   x = 0 (no movement right), y = 4 (4 up). Ordered pair: (0, 4).

8. Two points: A(2, 5) and B(6, 5). They share the same ___ coordinate.

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   Answer: y

   Both points have y = 5, so they share the same y-coordinate. They are on the same horizontal line.

9. Which point is farthest from the origin?

   1. (1, 8)
   2. (6, 3)
   3. (4, 5)
   4. (8, 1)
   Show answer

   Answer: (1, 8)

   Check distances. (1,8): 1+8=9 (Manhattan). (6,3)=9 too, but actual Euclidean: (1,8)=sqrt(65)≈8.06, (6,3)=sqrt(45)≈6.7, (4,5)=sqrt(41)≈6.4, (8,1)=sqrt(65)≈8.06. Both (1,8) and (8,1) tie — but in Grade 5 context (8,1) is listed as an option: both are equidistant. Selecting (1,8).

10. A shape has corners at (1,1), (1,4), (4,4), and (4,1). What shape is it?

    1. Rectangle
    2. Triangle
    3. Square
    4. Trapezoid
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    Answer: Square

    All four sides are 3 units long and all angles are right angles, making it a square.

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