Numbers and place value · Ages 10–11

Coordinates in four quadrants worksheet

Part of: Negative numbers

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Numbers and place value · Ages 10–11

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

1.Point A is at (−2, −1). From the origin, go squares left, then squares down, to reach A.
Fill in each blank
Answer:
2.Point A is at (−3, −5). From the origin, go squares left, then squares down, to reach A.
Fill in each blank
Answer:
3.How many squares apart are A(−1, 3) and B(5, 3)?
Answer:
4.Three corners of a rectangle are (−2, 6), (−2, −1) and (1, −1), its sides parallel to the axes. The fourth corner is (, ).
Fill in each blank
Answer:
5.Three corners of a rectangle are (−6, 5), (−6, −5) and (2, −5), its sides parallel to the axes. The fourth corner is (, ).
Fill in each blank
Answer:

6.What are the coordinates of point A?
- A. (−1, −5)
- B. (5, −1)
- C. (−5, 1)
- D. (−5, −1)
Choose the right answer
Answer:
7.In which picture is point P at (6, −4)?
- A
- B
- C
- D
Choose the right picture
Answer:
8.The point (−4, 4) is to the left of the y-axis and above the x-axis.
True or false?
Answer:
9.Which point is at (1, −5)?
- A. A
- B. C
- C. B
- D. D
Choose the right answer
Answer:
10.In which picture is point P at (5, −4)?
- A
- B
- C
- D
Choose the right picture
Answer:
11.The point (−1, 5) is to the left of the y-axis and above the x-axis.
True or false?
Answer:
12.Which point is at (−2, 5)?
- A. D
- B. B
- C. C
- D. A
Choose the right answer
Answer:

13.On a park plan each square stands for 1 m. A rectangular flower bed has corners (−3, 5), (2, 5), (2, −6) and (−3, −6). A fence goes all the way round it. How long is the fence?
Working:
Answer:
14.On a map, the MTR station is at the origin (0, 0) and each square stands for 100 m. The library is at (−4, 3) and the pool at (6, 3). How far apart are the library and the pool?
Working:
Answer:
15.On a squared mat, a toy robot starts at (−6, −6), moves 10 squares right and then 9 squares up, and arrives at (, ).
Fill in each blank
Working:
Answer:
16.On a treasure map, start at the origin (0, 0), go 3 squares left and then 4 squares down to find the treasure. What are the treasure's coordinates?
- A. (−3, −4)
- B. (−3, 4)
- C. (−4, −3)
- D. (3, 4)
Choose the right answer
Working:
Answer:
17.On a treasure map, start at the origin (0, 0), go 6 squares left and then 2 squares down to find the treasure. What are the treasure's coordinates?
- A. (−2, −6)
- B. (−6, −2)
- C. (−6, 2)
- D. (6, 2)
Choose the right answer
Working:
Answer:
18.On a map, the MTR station is at the origin (0, 0) and each square stands for 100 m. The library is at (−1, −4) and the pool at (2, −4). How far apart are the library and the pool?
Working:
Answer:

Show the answers and working

Coordinates in four quadrants worksheet: Answers and working

1. 2, 1
Coordinates give across first, then up or down. Look at the x-coordinate first: a minus sign means left.
x is −2: 2 left; y is −1: 1 down.
2. 3, 5
Coordinates give across first, then up or down. Look at the x-coordinate first: a minus sign means left.
x is −3: 3 left; y is −5: 5 down.
3. 6 squares
A and B are on the same across line, either side of the y-axis. How far is A from the y-axis, and B?
A and B are on the same across line: A is 1 left of the y-axis and B 5 right, so 1 + 5 = 6 squares apart.
4. 1, 6
Mark the three corners on a grid first, and see which corner the missing one sits straight above or below.
The fourth corner is straight above or below (1, −1), so x is 1, and level with (−2, 6), so y is 6.
5. 2, 5
Mark the three corners on a grid first, and see which corner the missing one sits straight above or below.
The fourth corner is straight above or below (2, −5), so x is 2, and level with (−6, 5), so y is 5.

6. D. (−5, −1)
First see whether A is left or right of the y-axis, and above or below the x-axis: that tells you the sign of each number.
Straight above or below A, the x-axis reads −5; straight across, the y-axis reads −1: (−5, −1).
7. C
Is 6 negative or positive? And −4? Decide which side of the origin P is on first, then count squares.
From the origin go across to 6, then up or down to −4: that is (6, −4).
8. True
Left or right of the y-axis depends on x, here −4; above or below the x-axis depends on y, here 4.
x is −4: negative is left of the y-axis, positive right. y is 4: positive is above the x-axis, negative below.
9. B. C
Is each of 1 and −5 negative or positive? First work out which side of the origin the point is on, then count squares.
From the origin go across to 1, then up or down to −5: that point is the one.
10. B
Is 5 negative or positive? And −4? Decide which side of the origin P is on first, then count squares.
From the origin go across to 5, then up or down to −4: that is (5, −4).
11. True
Left or right of the y-axis depends on x, here −1; above or below the x-axis depends on y, here 5.
x is −1: negative is left of the y-axis, positive right. y is 5: positive is above the x-axis, negative below.
12. A. D
Is each of −2 and 5 negative or positive? First work out which side of the origin the point is on, then count squares.
From the origin go across to −2, then up or down to 5: that point is the one.

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

13. 32 m
Find the length first: (−3, 5) and (2, 5) are either side of the y-axis, so add the two parts.
Find the width the same way: (2, 5) and (2, −6) are either side of the x-axis.
Length 3 + 2 = 5 m, width 5 + 6 = 11 m; the fence runs along all four sides: 5 + 11 + 5 + 11 = 32 m.
14. 1000 m
They are on the same across line, either side of the y-axis. Count the squares between them first, then turn that into metres.
They are on the same across line, 4 + 6 = 10 squares apart: 10 × 100 = 1000 m.
15. 4, 3
Moving right makes x bigger and moving up makes y bigger. Start by moving 10 right from −6.
10 right: −6 + 10 = 4; 9 up: −6 + 9 = 3.
16. A. (−3, −4)
Going left makes x negative and going down makes y negative. Write x first, then y.
3 left: x = −3; 4 down: y = −4. The treasure is at (−3, −4).
17. B. (−6, −2)
Going left makes x negative and going down makes y negative. Write x first, then y.
6 left: x = −6; 2 down: y = −2. The treasure is at (−6, −2).
18. 300 m
They are on the same across line, either side of the y-axis. Count the squares between them first, then turn that into metres.
They are on the same across line, 1 + 2 = 3 squares apart: 3 × 100 = 300 m.

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