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Work with Coordinates in Four Quadrants

In this worksheet, students will work with coordinates in all four quadrants.

'Work with Coordinates in Four Quadrants' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   Pearson Edexcel, OCR, Eduqas, AQA

Curriculum topic:   Algebra, Graphs of Equations and Functions

Curriculum subtopic:   Graphs, Graphs of Equations and Functions

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

We use coordinates to describe the position of a point on a coordinate grid.

The coordinate grid is divided into four quadrants, shown below:

Coordinates are numbers written in brackets, like (3, 8) or (4, -2).

The first number is the x-coordinate. This describes how far along the (horizontal) x-axis to go.

The second number is the y-coordinate.  This describes how far up the (vertical) y-axis to go.

Look at the points below. K has coordinates (1, 4). N has coordinates (-3, 1). F has coordinates (-3, -3) and P has coordinates (1, -3).

In which quadrant is point (5, -2)?

I quadrant

II quadrant

III quadrant

IV quadrant

In which quadrant is point (-2, 3)?

I quadrants

II quadrant

III quadrant

IV quadrant

Look at the grid below.

In which quadrant is point A in?

I quadrant

II quadrant

III quadrant

IV quadrant

Match the letters to the correct pairs of coordinates.

Column A

Column B

A
(3, -2)
D
(3, 5)
E
(6, -3)
G
(-2, 5)
I
(-5, -3)
J
(0, 1)

Choose whether the pairs of points below have the same value of the x-coordinate.

Choose whether the pairs of points below have the same value of the y-coordinate.

Tick the correct statements.

Both values of the coordinates in the IV quadrant are negative.

It doesn't matter which axes you use first.

Points cannot have the same value for the x- and the y- coordinates.

Point (0, 5) lies on the y-axis.

Below you can see an irregular pentagon with vertices labelled A, B, C, D and E.

Choose the combination that gives you the correct pairs of coordinates for each vertex.

 

A (-3, -5), B (-4, -2), C(4, 1), D (4, -3), E (2, -5)

A (-5, -3), B (-2, -4), C(1, 4), D (-3, 4), E (-5, 2)

A (-5, -3), B (-2, -4), C (-5, 2), D (-3, 4), E (1, 4)

A (-3, 4), B (-2, -4), C (-5, 2), D (-5, -3), E (1, 4)

True or false?

Match the coordinates to the letter that shows them on the grid below.

Column A

Column B

(0, -2)
H
(-2, 0)
P
(-3, 1)
N
(1, -3)
D
  • Question 1

In which quadrant is point (5, -2)?

CORRECT ANSWER
IV quadrant
EDDIE SAYS
(5, -3) is in the IV quadrant (bottom right) as its x-coordinate is positive and the y-coordinate is negative.
  • Question 2

In which quadrant is point (-2, 3)?

CORRECT ANSWER
II quadrant
EDDIE SAYS
(-2, 3) is in the II quadrant. This is because the x-coordinate value is negative and the y-coordinate value is positive.
  • Question 3

Look at the grid below.

In which quadrant is point A in?

CORRECT ANSWER
III quadrant
EDDIE SAYS
Point A is in the III quadrant. I quadrant is in the top right, II quadrant in the top left, III quadrant in the bottom left and IV quadrant in the bottom right.
  • Question 4

Match the letters to the correct pairs of coordinates.

CORRECT ANSWER

Column A

Column B

A
(-5, -3)
D
(0, 1)
E
(3, -2)
G
(6, -3)
I
(3, 5)
J
(-2, 5)
EDDIE SAYS
Remember that the first number in the pair of coordinates tells you about where to go horizontally (across) and the second number tells you where to go vertically (up/down).
  • Question 5

Choose whether the pairs of points below have the same value of the x-coordinate.

CORRECT ANSWER
EDDIE SAYS
The only pair of points with the same value of the x-coordinate is F (-3, 3) and H (-3, 5).
  • Question 6

Choose whether the pairs of points below have the same value of the y-coordinate.

CORRECT ANSWER
EDDIE SAYS
The pairs of points with the same value of the y-coordinate are: A (-5, -3) and B (-1, -3); B (-1, -3) and C (3, -3); G (2, 3) and F (-3, 3).
  • Question 7

Tick the correct statements.

CORRECT ANSWER
Both values of the coordinates in the IV quadrant are negative.
Point (0, 5) lies on the y-axis.
EDDIE SAYS
The true statements are: Both values of the coordinates in the IV quadrant are negative: points in IV quadrant have coordinates such as (-2, -2), (-5, -1) or (-4, -7). Point (0, 5) lies on the y-axis: you go 0 units across and 5 units up, so the point is on the vertical axis.
  • Question 8

Below you can see an irregular pentagon with vertices labelled A, B, C, D and E.

Choose the combination that gives you the correct pairs of coordinates for each vertex.

 

CORRECT ANSWER
A (-5, -3), B (-2, -4), C(1, 4), D (-3, 4), E (-5, 2)
EDDIE SAYS
The correct answer is A (-5, -3), B (-2, -4), C(1, 4), D (-3, 4), E (-5, 2). The first option looks very similar, but the coordinates are wrong way round! This is a very common mistake. Remember, you need to check how far along to go and then how far up.
  • Question 9

True or false?

CORRECT ANSWER
EDDIE SAYS
The I quadrant contains 2 points only. G is in the IV quadrant. D lies on the y-axis.
  • Question 10

Match the coordinates to the letter that shows them on the grid below.

CORRECT ANSWER

Column A

Column B

(0, -2)
H
(-2, 0)
D
(-3, 1)
N
(1, -3)
P
EDDIE SAYS
Some of these look very similar but remember that the first number is the horizontal distance from the origin and the second number is the vertical distance.
---- OR ----

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