Same Gradient: Problem Solving & Reasoning
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of lines having the same gradient, focusing on problem solving and reasoning skills suitable for GCSE Foundation students.
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Same Gradient: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the gradient of the line passing through the points (2, 3) and (5, 9).
[2 marks]2.
Find the gradient of the line that passes through (0, 4) and (6, 10).
[2 marks]3.
Construct a line on the grid with a gradient of 3 that passes through the origin.
[3 marks]4.
Two lines are parallel. Line A passes through (1, 2) and has a gradient of 4. Find the equation of Line A.
[3 marks]5.
Plot the graph of y=2x on the grid. Draw a parallel line passing through (2, 5).
[4 marks]6.
A line passes through (3, 7) and is parallel to the line y= -x + 4. Write the equation of this line.
[2 marks]7.
Determine if the following two lines are parallel: y= 3x + 2 and y= 3x - 5.
[1 mark]8.
A line passing through (0, 0) and (4, 8) is moved parallelly so that it passes through (0, 3). What is the new equation?
[3 marks]9.
Error Analysis: A student claims that lines with different y-intercepts but the same slope are NOT parallel. Is this correct? Explain.
[4 marks]10.
Challenge: Find the equation of a line parallel to y= x + 1, passing through the point (5, -2).
[3 marks]11.
Mixed Review: If a line has a gradient of and passes through (0, 0), what is its equation? Also, plot this line and draw a parallel line through (2, 7).
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet