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Common Core 6.G.A.3 worksheet

6th grade (Year 7 in England) Β· 16 questions Β· Common Core: 6.NS.C.6, 6.NS.C.8, 6.G.A.3 Β· England: Y6 Geometry, KS3 Geometry, KS3 Geometry and measures

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  1. Question 1

    Point A is (βˆ’6, βˆ’8). Point B is directly above A, 3 units away. What are the coordinates of B? Type them like (2, βˆ’3).

    Answer

  2. Question 2

    Ana marks a point P on the grid. What are its coordinates? Type them like (βˆ’3, 5).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100P

    Answer

  3. Question 3

    How long is the line segment from (βˆ’1, 1) to (7, 1)?

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100AB

    Answer

  4. Question 4

    In which quadrant is the point (1, 4)?

    • A. I
    • B. II
    • C. III
    • D. IV
  5. Question 5

    What is the distance between (βˆ’4, βˆ’2) and (βˆ’4, 4)?

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100AB

    Answer

  6. Question 6

    A rectangle has vertices (βˆ’2, βˆ’5), (5, βˆ’5), (5, 3) and (βˆ’2, 3). What is its perimeter, in units?

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100

    Answer

  7. Question 7

    Point A is (1, βˆ’3). Point B is directly above A, 8 units away. What are the coordinates of B? Type them like (2, βˆ’3).

    Answer

  8. Question 8

    Lucia marks a point P on the grid. What are its coordinates? Type them like (βˆ’3, 5).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100P

    Answer

  9. Question 9

    How long is the line segment from (βˆ’4, 6) to (9, 6)?

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100AB

    Answer

  10. Question 10

    In which quadrant is the point (1, βˆ’2)?

    • A. I
    • B. II
    • C. III
    • D. IV
  11. Question 11

    What is the distance between (0, βˆ’2) and (1, βˆ’2)?

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100AB

    Answer

  12. Question 12

    A rectangle has vertices (βˆ’6, βˆ’1), (1, βˆ’1), (1, 7) and (βˆ’6, 7). What is its area, in square units?

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100

    Answer

  13. Question 13

    Point A is (2, βˆ’3). Point B is directly below A, 6 units away. What are the coordinates of B? Type them like (2, βˆ’3).

    Answer

  14. Question 14

    Sofia marks a point P on the grid. What are its coordinates? Type them like (βˆ’3, 5).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100P

    Answer

  15. Question 15

    How long is the line segment from (βˆ’9, 7) to (8, 7)?

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100AB

    Answer

  16. Question 16

    In which quadrant is the point (βˆ’4, 3)?

    • A. I
    • B. II
    • C. III
    • D. IV

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Answer key: Common Core 6.G.A.3 worksheet

  1. 1. (βˆ’6, βˆ’5)

  2. 2. (βˆ’4, βˆ’7)

  3. 3. 8

  4. 4. A. I

  5. 5. 6

  6. 6. 30

  7. 7. (1, 5)

  8. 8. (βˆ’5, 3)

  9. 9. 13

  10. 10. D. IV

  11. 11. 1

  12. 12. 56

  13. 13. (2, βˆ’9)

  14. 14. (βˆ’5, βˆ’6)

  15. 15. 17

  16. 16. B. II

6.G.A.3 Worksheet: Coordinates in all four quadrants | Eurekami