y = 1/x: Problem Solving & Reasoning
Mathematics
Grade 6
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding and applying the graph of y = 1/x, including procedural practice, reasoning, and real-world contexts.
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y = 1/x: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Plot the graph of y = 1/x for x = 1, 2, 4, and 8. Connect the points smoothly.
[3 marks]2.
Calculate the value of y when x = 0.5 and x = 10. Show your working.
[2 marks]3.
Describe what happens to y as x approaches 0 from the positive side.
[2 marks]4.
Construct a table of values for y=1/x for x = -4, -2, -1, -0.5, 0.5, 1, 2, 4.
[3 marks]5.
Plot the points from the table in the previous question and sketch the reciprocal graph.
[3 marks]6.
Explain why the graph of y=1/x never touches the x-axis or y-axis.
[2 marks]7.
A ladder leans against a wall so that its height (y) is inversely proportional to its distance from the wall (x). If the ladder is 2 meters high when 3 meters away from the wall, what is the height when it is 6 meters away? Show your working.
[3 marks]8.
Plot the reciprocal function y=1/x for x between -5 and 5, excluding 0. Connect the points smoothly.
[3 marks]9.
Identify and correct the mistake in the following student's graph of y=1/x: The graph touches the origin (0, 0).
[2 marks]10.
Challenge: Derive the equation of the asymptote of y=1/x and explain its significance.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet