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Calculate the Gradients of a Line

In this worksheet, students work out the gradient of a line on coordinate axes.

'Calculate the Gradients of a Line' worksheet

Key stage:  KS 3

Curriculum topic:  Algebra

Curriculum subtopic:  Use Linear Equations (Two Variables) and Gradients

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

 

Gradient of line  = y-step
x-step

 

Example

Find the gradient of the red line.

 

Answer

First we must find points with whole number coordinates on the red line in order to build a "step".

 

 

The vertical part of the step (y-step) = 4

The horizontal part of the step (x-step) = 2

 

Gradient of line  = y-step = 4 2
x-step 2

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

  • Question 1

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
2
EDDIE SAYS

 

Gradient of line  = y-step = 6 2
x-step 3
  • Question 2

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
1
EDDIE SAYS

Gradient of line = y-step = 4 = 1
x-step 4
  • Question 3

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
2/3
EDDIE SAYS

Gradient of line = y-step = 4 =2/3
x-step 6
  • Question 4

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
5/2
EDDIE SAYS

Gradient of line = y-step = 5 =5/2
x-step 2
  • Question 5

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
1/3
EDDIE SAYS

Gradient of line = y-step = 2 = 1/3
x-step 6
  • Question 6

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
2/3
EDDIE SAYS

Gradient of line = y-step = 2 = 2/3
x-step 3
  • Question 7

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
1/3
EDDIE SAYS

Gradient of line = y-step = 3 = 1/3
x-step 9
  • Question 8

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
1/2
EDDIE SAYS

 

Gradient of line = y-step = 2 = 1/2
x-step 4
  • Question 9

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
1/4
EDDIE SAYS

Gradient of line = y-step = 1 = 1/4
x-step 4
  • Question 10

Find the gradient of the red line.

(If it is not a whole number, write it as a fraction in the form a/b)

 

 

CORRECT ANSWER
5
EDDIE SAYS

Gradient of line = y-step = 5 = 5
x-step 1
---- OR ----

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