Formula: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet explores the formula for finding the midpoint of a line segment, highlights common misconceptions, and includes error analysis to deepen understanding.
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Formula: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the midpoint of the line segment with endpoints A(2, 4) and B(6, 8).
[2 marks]2.
Find the midpoint between points P(10, -2) and Q(14, 6).
[2 marks]3.
Determine the midpoint of points R(0, 0) and S(8, 12).
[2 marks]B
Problem Solving & Reasoning
Answer all questions, explaining your reasoning clearly.
1.
A line segment has endpoints at (3, 5) and (7, 13). The midpoint is given as (5, 9). Does this match your calculation? Show your work and identify any mistake if present.
[4 marks]2.
A student calculates the midpoint between (1, 2) and (5, 8) as (3, 5). Is this correct? If not, identify the error and correct it.
[4 marks]3.
Explain why using the average of x-coordinates and y-coordinates finds the midpoint of a line segment.
[3 marks]C
Error Analysis & Misconceptions
Review the common mistakes listed below. For each, explain what went wrong and how to correct it.
1.
A student calculates the midpoint of (2, 4) and (6, 8) but gets (4, 7). Identify and explain the mistake.
[3 marks]2.
A student uses the formula midpoint = (x1 + x2, y1 + y2) without dividing by 2. What mistake is this, and how do you fix it?
[3 marks]D
Mixed Review
Answer all questions to reinforce your understanding of the midpoint formula.
1.
Calculate the midpoint of (-3, 7) and (5, -1).
[2 marks]2.
Construct a line segment on the grid with endpoints at (2, 3) and (8, 7). Label the midpoint.
[4 marks]E
Challenge & Extension
Attempt these challenging problems to extend your understanding.
1.
Points X and Y have coordinates (x1, y1) and (x2, y2). You know that their midpoint is (4, 5). If x1 = 2, find y1 when y2 = 9.
[3 marks]2.
Given points A(1, 2) and B(7, 10), find a point C on the segment AB such that C divides AB into two equal parts. What are the coordinates of C?
[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)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet