Coordinates (age 10+) · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Coordinates on the full grid

Mathematics · Geometry · ages 10-11
Name ______________________   Date ____________

  1. Point D is at (-6, 3). How many spaces left of the origin is it?

    Answer: ______________

  2. Which point lies in the Second quadrant?

    • (3, 4)
    • (-5, -1)
    • (2, -3)
    • (-5, 3)

  3. Which of these points lies in Quadrant II (left and up from the origin)?

    • (3, 4)
    • (-3, 4)
    • (-3, -4)

  4. A point with x = 0, like (0, -5), lies inside one of the four quadrants.

    Circle one:   True   False

  5. Point A is at (-4, -3). Which quadrant number is it in? Give the number as 1, 2, 3, or 4.

    Answer: ______________

  6. A rectangle has corners at (-4, 1), (-4, 3), (-1, 1), and (-1, 3). Which quadrant is it in?

    • Quadrant I
    • Quadrant II
    • Quadrant III

  7. Point (5, -3) lies in which quadrant?

    • Fourth
    • First
    • Second
    • Third

  8. Leo plots the point (-6, -2). He says it lies in Quadrant II. Is he right?

    Circle one:   True   False

  9. Mia was asked to plot (4, -3). She placed her point 4 up and 3 left of the origin. What mistake did she make?

    • She read the point correctly; 4 up and 3 left is the same location as 4 right and 3 down
    • She only got the sign of the y-coordinate wrong
    • She swapped the x- and y-coordinates, moving vertically with the first number and horizontally with the second

  10. A rectangle has corners at (-2, 1), (-2, 4), (3, 1) and (3, 4). Which quadrants does it sit in?

    • Quadrants I and II
    • Quadrant II only
    • Quadrant I only
    • Quadrants III and IV
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Coordinates on the full grid W1-mt_R4AY0LKxfl-s1

  1. 6 · The x-coordinate is -6, which means 6 spaces left of the origin.
  2. (-5, 3) · (-5, 3) is correct because the Second quadrant needs a negative x and a positive y.
  3. (-3, 4) · Quadrant II is where x is negative and y is positive, so (-3, 4) fits.
  4. False · Points with x = 0 sit exactly on the y-axis, not inside any of the four quadrants.
  5. 3 · Both numbers are below zero, so the point is left and down in Quadrant 3.
  6. Quadrant II · Every corner has a negative x-coordinate and a positive y-coordinate, so the whole rectangle sits in Quadrant II.
  7. Fourth · Fourth is correct because x is positive and y is negative there.
  8. False · Leo is wrong. Both numbers are below zero, so the point sits in Quadrant III, not Quadrant II.
  9. She swapped the x- and y-coordinates, moving vertically with the first number and horizontally with the second · The x-coordinate always moves left or right, and the y-coordinate moves up or down. Mia used the numbers in the wrong order, so her point landed in the wrong spot.
  10. Quadrants I and II · Y values are positive and x values span both sides of zero, so the shape sits across Quadrants I and II.
Worksheet · LightMySky