Formula: Problem Solving & Reasoning
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on understanding and applying the formula for finding the midpoint of a line segment. Students will practice calculating midpoints through various problem types, including real-world scenarios and challenging extensions.
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Full preview • 12 questions
Formula: 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.
Calculate the midpoint of the line segment with endpoints at (2, 4) and (6, 8).
[2 marks]2.
Find the midpoint between the points (-3, 7) and (3, 1).
[2 marks]3.
What is the midpoint of the segment with endpoints at (0, 0) and (10, 10)?
[2 marks]4.
A line segment has endpoints at (x1, y1) = (4, 2) and (x2, y2) = (8, 10). Calculate its midpoint.
[3 marks]5.
Plot the graph of the points (1, 2) and (5, 6) and find their midpoint.
[3 marks]6.
A city plans to build a new park exactly halfway between point A at (2, 3) and point B at (14, 19). What are the coordinates of the park location?
[4 marks]7.
Construct a triangle on the grid where two vertices are at (2, 2) and (6, 6). The third vertex should be at (4, 2). Find the midpoint of the segment connecting the first vertex to the third.
[3 marks]8.
A student calculates the midpoint between (3, 5) and (7, 9) as (5, 7). Is this correct? If not, correct the mistake.
[3 marks]9.
Find the midpoint of the segment with endpoints at (-5, -3) and (5, 7).
[2 marks]10.
Given the points (2, 8) and (10, 14), what is the midpoint? Use the formula to show your calculations.
[3 marks]11.
A rectangle has vertices at (1, 1), (1, 5), (4, 1), and (4, 5). Find the midpoint of the diagonal connecting (1, 1) and (4, 5).
[2 marks]12.
Challenge: Two points are at (x1, y1) and (x2, y2). If their midpoint is at (10, 15), and one point is at (6, 12), find the other point.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
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- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet