ReasoningAges 10-12

Coordinate grid displacement

Track east and north steps from the origin (0, 0) to determine the final grid coordinates. Review suitability for your learners before teaching.

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Age band:Ages 7-9 Ages 10-12

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Worksheet StudioPractice pack · Ages 10-12

Coordinate grid displacement

Take your time. Show your thinking.

1. A robot starts at (0, 0) on a coordinate grid. It moves 6 units East (+x) and 2 units North (+y). What are its new coordinates?
0 · 0 · 6 · 2 · Coordinate grid displacement
2. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 6 units North (+y). What are its new coordinates?
0 · 0 · 8 · 6 · Coordinate grid displacement
3. A robot starts at (0, 0) on a coordinate grid. It moves 3 units East (+x) and 6 units North (+y). What are its new coordinates?
0 · 0 · 3 · 6 · Coordinate grid displacement
4. A robot starts at (0, 0) on a coordinate grid. It moves 9 units East (+x) and 2 units North (+y). What are its new coordinates?
0 · 0 · 9 · 2 · Coordinate grid displacement
5. A robot starts at (0, 0) on a coordinate grid. It moves 7 units East (+x) and 8 units North (+y). What are its new coordinates?
0 · 0 · 7 · 8 · Coordinate grid displacement
6. A robot starts at (0, 0) on a coordinate grid. It moves 4 units East (+x) and 8 units North (+y). What are its new coordinates?
0 · 0 · 4 · 8 · Coordinate grid displacement
7. A robot starts at (0, 0) on a coordinate grid. It moves 1 units East (+x) and 7 units North (+y). What are its new coordinates?
0 · 0 · 1 · 7 · Coordinate grid displacement
8. A robot starts at (0, 0) on a coordinate grid. It moves 3 units East (+x) and 1 units North (+y). What are its new coordinates?
0 · 0 · 3 · 1 · Coordinate grid displacement
9. A robot starts at (0, 0) on a coordinate grid. It moves 1 units East (+x) and 11 units North (+y). What are its new coordinates?
0 · 0 · 1 · 11 · Coordinate grid displacement
10. A robot starts at (0, 0) on a coordinate grid. It moves 5 units East (+x) and 8 units North (+y). What are its new coordinates?
0 · 0 · 5 · 8 · Coordinate grid displacement
11. A robot starts at (0, 0) on a coordinate grid. It moves 6 units East (+x) and 9 units North (+y). What are its new coordinates?
0 · 0 · 6 · 9 · Coordinate grid displacement
12. A robot starts at (0, 0) on a coordinate grid. It moves 2 units East (+x) and 2 units North (+y). What are its new coordinates?
0 · 0 · 2 · 2 · Coordinate grid displacement

12 questions · Seed 104749 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 10-12

Coordinate grid displacement

Answers and reasoning. Review before teaching.

1. A robot starts at (0, 0) on a coordinate grid. It moves 6 units East (+x) and 2 units North (+y). What are its new coordinates?
(6, 2)
Moving 6 units East gives x = 6 and 2 units North gives y = 2, reaching (6, 2).
2. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 6 units North (+y). What are its new coordinates?
(8, 6)
Moving 8 units East gives x = 8 and 6 units North gives y = 6, reaching (8, 6).
3. A robot starts at (0, 0) on a coordinate grid. It moves 3 units East (+x) and 6 units North (+y). What are its new coordinates?
(3, 6)
Moving 3 units East gives x = 3 and 6 units North gives y = 6, reaching (3, 6).
4. A robot starts at (0, 0) on a coordinate grid. It moves 9 units East (+x) and 2 units North (+y). What are its new coordinates?
(9, 2)
Moving 9 units East gives x = 9 and 2 units North gives y = 2, reaching (9, 2).
5. A robot starts at (0, 0) on a coordinate grid. It moves 7 units East (+x) and 8 units North (+y). What are its new coordinates?
(7, 8)
Moving 7 units East gives x = 7 and 8 units North gives y = 8, reaching (7, 8).
6. A robot starts at (0, 0) on a coordinate grid. It moves 4 units East (+x) and 8 units North (+y). What are its new coordinates?
(4, 8)
Moving 4 units East gives x = 4 and 8 units North gives y = 8, reaching (4, 8).
7. A robot starts at (0, 0) on a coordinate grid. It moves 1 units East (+x) and 7 units North (+y). What are its new coordinates?
(1, 7)
Moving 1 units East gives x = 1 and 7 units North gives y = 7, reaching (1, 7).
8. A robot starts at (0, 0) on a coordinate grid. It moves 3 units East (+x) and 1 units North (+y). What are its new coordinates?
(3, 1)
Moving 3 units East gives x = 3 and 1 units North gives y = 1, reaching (3, 1).
9. A robot starts at (0, 0) on a coordinate grid. It moves 1 units East (+x) and 11 units North (+y). What are its new coordinates?
(1, 11)
Moving 1 units East gives x = 1 and 11 units North gives y = 11, reaching (1, 11).
10. A robot starts at (0, 0) on a coordinate grid. It moves 5 units East (+x) and 8 units North (+y). What are its new coordinates?
(5, 8)
Moving 5 units East gives x = 5 and 8 units North gives y = 8, reaching (5, 8).
11. A robot starts at (0, 0) on a coordinate grid. It moves 6 units East (+x) and 9 units North (+y). What are its new coordinates?
(6, 9)
Moving 6 units East gives x = 6 and 9 units North gives y = 9, reaching (6, 9).
12. A robot starts at (0, 0) on a coordinate grid. It moves 2 units East (+x) and 2 units North (+y). What are its new coordinates?
(2, 2)
Moving 2 units East gives x = 2 and 2 units North gives y = 2, reaching (2, 2).

12 questions · Seed 104749 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 10-12

Coordinate grid displacement

Take your time. Show your thinking.

1. A robot starts at (0, 0) on a coordinate grid. It moves 6 units East (+x) and 2 units North (+y). What are its new coordinates?
0 · 0 · 6 · 2 · Coordinate grid displacement
2. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 6 units North (+y). What are its new coordinates?
0 · 0 · 8 · 6 · Coordinate grid displacement
3. A robot starts at (0, 0) on a coordinate grid. It moves 3 units East (+x) and 6 units North (+y). What are its new coordinates?
0 · 0 · 3 · 6 · Coordinate grid displacement
4. A robot starts at (0, 0) on a coordinate grid. It moves 9 units East (+x) and 2 units North (+y). What are its new coordinates?
0 · 0 · 9 · 2 · Coordinate grid displacement
5. A robot starts at (0, 0) on a coordinate grid. It moves 7 units East (+x) and 8 units North (+y). What are its new coordinates?
0 · 0 · 7 · 8 · Coordinate grid displacement
6. A robot starts at (0, 0) on a coordinate grid. It moves 4 units East (+x) and 8 units North (+y). What are its new coordinates?
0 · 0 · 4 · 8 · Coordinate grid displacement
7. A robot starts at (0, 0) on a coordinate grid. It moves 1 units East (+x) and 7 units North (+y). What are its new coordinates?
0 · 0 · 1 · 7 · Coordinate grid displacement
8. A robot starts at (0, 0) on a coordinate grid. It moves 3 units East (+x) and 1 units North (+y). What are its new coordinates?
0 · 0 · 3 · 1 · Coordinate grid displacement
9. A robot starts at (0, 0) on a coordinate grid. It moves 1 units East (+x) and 11 units North (+y). What are its new coordinates?
0 · 0 · 1 · 11 · Coordinate grid displacement
10. A robot starts at (0, 0) on a coordinate grid. It moves 5 units East (+x) and 8 units North (+y). What are its new coordinates?
0 · 0 · 5 · 8 · Coordinate grid displacement
11. A robot starts at (0, 0) on a coordinate grid. It moves 6 units East (+x) and 9 units North (+y). What are its new coordinates?
0 · 0 · 6 · 9 · Coordinate grid displacement
12. A robot starts at (0, 0) on a coordinate grid. It moves 2 units East (+x) and 2 units North (+y). What are its new coordinates?
0 · 0 · 2 · 2 · Coordinate grid displacement

12 questions · Seed 104749 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 10-12

Coordinate grid displacement

Answers and reasoning. Review before teaching.

1. A robot starts at (0, 0) on a coordinate grid. It moves 6 units East (+x) and 2 units North (+y). What are its new coordinates?
(6, 2)
Moving 6 units East gives x = 6 and 2 units North gives y = 2, reaching (6, 2).
2. A robot starts at (0, 0) on a coordinate grid. It moves 8 units East (+x) and 6 units North (+y). What are its new coordinates?
(8, 6)
Moving 8 units East gives x = 8 and 6 units North gives y = 6, reaching (8, 6).
3. A robot starts at (0, 0) on a coordinate grid. It moves 3 units East (+x) and 6 units North (+y). What are its new coordinates?
(3, 6)
Moving 3 units East gives x = 3 and 6 units North gives y = 6, reaching (3, 6).
4. A robot starts at (0, 0) on a coordinate grid. It moves 9 units East (+x) and 2 units North (+y). What are its new coordinates?
(9, 2)
Moving 9 units East gives x = 9 and 2 units North gives y = 2, reaching (9, 2).
5. A robot starts at (0, 0) on a coordinate grid. It moves 7 units East (+x) and 8 units North (+y). What are its new coordinates?
(7, 8)
Moving 7 units East gives x = 7 and 8 units North gives y = 8, reaching (7, 8).
6. A robot starts at (0, 0) on a coordinate grid. It moves 4 units East (+x) and 8 units North (+y). What are its new coordinates?
(4, 8)
Moving 4 units East gives x = 4 and 8 units North gives y = 8, reaching (4, 8).
7. A robot starts at (0, 0) on a coordinate grid. It moves 1 units East (+x) and 7 units North (+y). What are its new coordinates?
(1, 7)
Moving 1 units East gives x = 1 and 7 units North gives y = 7, reaching (1, 7).
8. A robot starts at (0, 0) on a coordinate grid. It moves 3 units East (+x) and 1 units North (+y). What are its new coordinates?
(3, 1)
Moving 3 units East gives x = 3 and 1 units North gives y = 1, reaching (3, 1).
9. A robot starts at (0, 0) on a coordinate grid. It moves 1 units East (+x) and 11 units North (+y). What are its new coordinates?
(1, 11)
Moving 1 units East gives x = 1 and 11 units North gives y = 11, reaching (1, 11).
10. A robot starts at (0, 0) on a coordinate grid. It moves 5 units East (+x) and 8 units North (+y). What are its new coordinates?
(5, 8)
Moving 5 units East gives x = 5 and 8 units North gives y = 8, reaching (5, 8).
11. A robot starts at (0, 0) on a coordinate grid. It moves 6 units East (+x) and 9 units North (+y). What are its new coordinates?
(6, 9)
Moving 6 units East gives x = 6 and 9 units North gives y = 9, reaching (6, 9).
12. A robot starts at (0, 0) on a coordinate grid. It moves 2 units East (+x) and 2 units North (+y). What are its new coordinates?
(2, 2)
Moving 2 units East gives x = 2 and 2 units North gives y = 2, reaching (2, 2).

12 questions · Seed 104749 · Age guidance, not curriculum certification