Shape and space · Ages 9–10

Coordinates (x, y) worksheet

Part of: Coordinates and moving shapes

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Shape and space · Ages 9–10

Numsprite
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Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

1.Point A is at (, ).
Fill in each blank
Answer:
2.From point A to point B is squares right and then squares up.
Fill in each blank
Answer:
3.The points (8, 8) and (8, 3) are on the same upright line. How many squares apart are they?
Answer:
4.The points (9, 2) and (9, 7) are on the same upright line. How many squares apart are they?
Answer:
5.Point A is at (1, 3). Point B is 2 squares to the right of A and 1 squares below it. B is at (, ).
Fill in each blank
Answer:
6.Point A is at (0, 8). Point B is 3 squares to the right of A and 3 squares below it. B is at (, ).
Fill in each blank
Answer:

7.What are the coordinates of point A?
- A. (0, 7)
- B. (8, 1)
- C. (7, 0)
- D. (1, 8)
Choose the right answer
Answer:
8.Point A is at (4, 5).
True or false?
Answer:
9.Which picture plots point A (2, 5) correctly?
- A
- B
- C
- D
Choose the right picture
Answer:
10.Which picture plots point A (4, 2) correctly?
- A
- B
- C
- D
Choose the right picture
Answer:
11.Point A is at (1, 7).
True or false?
Answer:
12.Which picture plots point A (2, 6) correctly?
- A
- B
- C
- D
Choose the right picture
Answer:

13.On a grid map, right is east and up is north. Tsz-hin's home is at (2, 2). Tsz-hin walks 3 squares east and then 1 squares north to the park. The park is at (, ).
Fill in each blank
Working:
Answer:
14.In a video game, Ka-yee's character is at (8, 1). Ka-yee presses “↑” 4 times and “←” 4 times, one square a press. The character is now at (, ).
Fill in each blank
Working:
Answer:
15.On the park map, which thing is at (5, 3)?
- A. 🌳
- B. 🐰
- C. 🍎
- D. 🚌
Choose the right answer
Working:
Answer:
16.A robot starts at the origin (0, 0) and can only move right or up along the grid lines. What is the fewest squares it must move to reach (10, 7)?
Working:
Answer:
17.A robot starts at the origin (0, 0) and can only move right or up along the grid lines. What is the fewest squares it must move to reach (4, 4)?
Working:
Answer:
18.On a grid map, right is east and up is north. Ming's home is at (4, 0). Ming walks 1 squares east and then 4 squares north to the park. The park is at (, ).
Fill in each blank
Working:
Answer:

Show the answers and working

Coordinates (x, y) worksheet: Answers and working

1. 5, 4
Look straight down from A: which number on the x-axis is it above? That one comes first.
Look down from A to the x-axis: 5. Look across to the y-axis: 4. Across first, then up: (5, 4).
2. 1, 4
Read off A's and B's coordinates first, then see how far apart the two x's and the two y's are.
A is (5, 0) and B is (6, 4): x differs by 6 − 5 = 1, y by 4 − 0 = 4.
3. 5 squares
Both points have x = 8, so they differ only up and down. Compare the two y's, 8 and 3.
Same x, so they differ only up and down: the bigger y minus the smaller is 5.
4. 5 squares
Both points have x = 9, so they differ only up and down. Compare the two y's, 2 and 7.
Same x, so they differ only up and down: the bigger y minus the smaller is 5.
5. 3, 2
Moving right makes x bigger; moving down makes y smaller. Start from (1, 3).
Right adds to x: 1 + 2 = 3. Down takes from y: 3 − 1 = 2.
6. 3, 5
Moving right makes x bigger; moving down makes y smaller. Start from (0, 8).
Right adds to x: 0 + 3 = 3. Down takes from y: 8 − 3 = 5.

7. A. (0, 7)
Look down from A to the x-axis and across to the y-axis. Count from 0 at the origin, and write x first.
Down from A to the x-axis reads 0; across to the y-axis reads 7: (0, 7).
8. True
Read x down from A and y across from it, then compare with (4, 5) one number at a time, in order.
Down from A is 4 on the x-axis, across is 5 on the y-axis: A is (4, 5).
9. B
From the origin, count 2 right and then 5 up, and see which picture has A there.
From the origin, 2 squares right, then 5 up: that is A.
10. A
From the origin, count 4 right and then 2 up, and see which picture has A there.
From the origin, 4 squares right, then 2 up: that is A.
11. False
Read x down from A and y across from it, then compare with (1, 7) one number at a time, in order.
Down from A is 0 on the x-axis, across is 7 on the y-axis: A is (0, 7).
12. D
From the origin, count 2 right and then 6 up, and see which picture has A there.
From the origin, 2 squares right, then 6 up: that is A.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 5, 3
East is right, which changes x; north is up, which changes y. Start from (2, 2).
East adds to x: 2 + 3 = 5. North adds to y: 2 + 1 = 3.
14. 4, 5
↑ changes y and ← changes x. Going left, does x get bigger or smaller?
← is left, so x goes down by 4: 4. ↑ is up, so y goes up by 4: 5.
15. B. 🐰
From the origin count 5 right first, then 3 up. Don't swap them.
From the origin, 5 right and then 3 up reaches the 🐰.
16. 17 squares
It can only go right or up, never diagonally. How many squares right to reach (10, 7), and how many up?
10 right and 7 up: 10 + 7 = 17 squares.
17. 8 squares
It can only go right or up, never diagonally. How many squares right to reach (4, 4), and how many up?
4 right and 4 up: 4 + 4 = 8 squares.
18. 5, 4
East is right, which changes x; north is up, which changes y. Start from (4, 0).
East adds to x: 4 + 1 = 5. North adds to y: 0 + 4 = 4.

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