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Work with Coordinates in One Quadrant

In this worksheet, students will work with coordinates in one quadrant.

'Work with Coordinates in One Quadrant' 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

Coordinates describe the position of a point. They are written as a bracket with a pair of numbers separated with a comma. (4, 6) is an example of coordinates.

The first number is called the x-coordinate. We find it on the horizontal axis.

The second number is called the y-coordinate. We find it on the vertical axis.

Below a point with coordinates (2, 4) is shown. You need to go 2 across and then 4 up to mark the correct point.

A special point on the coordinate grid is the origin. This is the point with coordinates (0, 0). The x- and the y-axis cross at the origin.

Which point here has coordinates (6, 8)?

 

A

G

D

B

What are the coordinates of point G?

(6, 9)

(6, 6)

(9, 6)

(9, 9)

The point (4, 7):

has an x-coordinate of 4 and a y-coordinate of 7

has an x-coordinate of 7 and a y-coordinate of 4

has x-coordinates 4 and 7

has y-coordinates 4 and 7

has a y-coordinate of 4.

What are the coordinates of the fourth corner of this shape so that it is a rhombus?

(8 , 9)

(10, 8)

(8, 10)

(8, 11)

Match the points marked on the grid below with correct coordinates:

Column A

Column B

P
(2, 0)
Q
(5, 5)
R
(0, 2)
S
(3, 1)

Which of the points below are not marked on the grid?

(6, 1)

(3, 2)

(5, 6)

(1, 5)

(4, 0)

A third point is added to make a triangle. Choose the coordinates of points that would result in an isosceles triangle.

(9, 7)

(1, 6)

(7, 6)

(7, 4)

(0, 7)

Some of the points below have the x-coordinate smaller than the y-coordinate (x < y), whereas others have the x-coordinate greater than the y-coordinate (x > y).

For example, point F has x- coordinate of 2 and y-coordinate of 7, so x < y.

Mark which points belong to each category.

 x < yx > y
A
B
C
D
E

True or false?

(3, 5) lies on the x-axis.

True

False

True or False?

The coordinates of the origin are (1, 0).

True

False

  • Question 1

Which point here has coordinates (6, 8)?

 

CORRECT ANSWER
B
EDDIE SAYS
Start at 0 in the bottom left corner. Go 6 squares to the right and then 8 squares up. This is the point with coordinates (6, 8). The correct answer is B.
  • Question 2

What are the coordinates of point G?

CORRECT ANSWER
(9, 6)
EDDIE SAYS
Did you remember to check across first and then up? The correct coordinates are (9, 6). Check it yourself! 9 squares to the right, 6 squares up.
  • Question 3

The point (4, 7):

CORRECT ANSWER
has an x-coordinate of 4 and a y-coordinate of 7
EDDIE SAYS
The first number is always the x-coordinate and the second one is always the y-coordinate. So option a is the correct one.
  • Question 4

What are the coordinates of the fourth corner of this shape so that it is a rhombus?

CORRECT ANSWER
(8, 10)
EDDIE SAYS
Did you remember that a rhombus is a four-sided shape with equal sides? The final corner must be at (8, 10).
  • Question 5

Match the points marked on the grid below with correct coordinates:

CORRECT ANSWER

Column A

Column B

P
(3, 1)
Q
(0, 2)
R
(5, 5)
S
(2, 0)
EDDIE SAYS
Coordinates show the position of a point. The first coordinate is the x-coordinate, you find it going across the bottom axis. The second coordinate is the y-coordinate and it is found on the vertical axis.
  • Question 6

Which of the points below are not marked on the grid?

CORRECT ANSWER
(3, 2)
(5, 6)
(4, 0)
EDDIE SAYS
There are not points with coordinates (3, 2), (5, 6) and (4, 0) on the grid, but there are points with coordinates (2, 3), (6, 5) and (0, 4)!
  • Question 7

A third point is added to make a triangle. Choose the coordinates of points that would result in an isosceles triangle.

CORRECT ANSWER
(9, 7)
(0, 7)
EDDIE SAYS
Isosceles triangles are triangles with two sides of equal length. The coordinates of the third corner could be (9, 7) or (0, 7). Can you see how both of these have a y-coordinate of 7? Could you find other points that would complete an isosceles triangle?
  • Question 8

Some of the points below have the x-coordinate smaller than the y-coordinate (x < y), whereas others have the x-coordinate greater than the y-coordinate (x > y).

For example, point F has x- coordinate of 2 and y-coordinate of 7, so x < y.

Mark which points belong to each category.

CORRECT ANSWER
 x < yx > y
A
B
C
D
E
EDDIE SAYS
The coordinates of each of the points on the grid are: A = (1, 2) B = (8, 1) C = (10, 0) D = (9, 6) E = (5, 8) The first number is the x-coordinate, the second is the y-coordinate. Check if x is less than or greater than y.
  • Question 9

True or false?

(3, 5) lies on the x-axis.

CORRECT ANSWER
False
EDDIE SAYS
For a point to lie on the x-axis, the y-coordinate needs to be equal to 0.
  • Question 10

True or False?

The coordinates of the origin are (1, 0).

CORRECT ANSWER
False
EDDIE SAYS
The coordinates of the origin are (0, 0).
---- OR ----

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