Perfect Squares to 15²: Error Analysis & Misconceptions
Mathematics
Grade 7
13 questions
~26 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on understanding, calculating, and identifying errors related to perfect squares up to 15². It includes procedural practice, reasoning, and real-world contexts to deepen comprehension.
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Perfect Squares to 15²: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate 12 squared (12²).
[1 mark]2.
What is 8²?
[1 mark]3.
Find the square of 15.
[1 mark]4.
Calculate 10².
[1 mark]B
Problem Solving & Reasoning
Answer each question in detail, explaining your reasoning.
1.
A square has an area of 81 cm². What is the length of each side? Explain your reasoning.
[3 marks]2.
A student mistakenly calculates 7² as 49 but then writes 7³ as 343. Identify and explain the mistake.
[3 marks]C
Real-world Applications
Solve the problem in context, showing your calculations.
1.
A square garden has a side length of 12 meters. What is its area? How does this relate to perfect squares?
[3 marks]D
Challenge & Extension
Attempt these more challenging problems.
1.
Prove that 13² + 14² equals 365. Show your work.
[3 marks]2.
Construct a square on the grid with a side length of 15 units. Calculate its area and verify it equals 15².
[2 marks]E
Mixed Review
Answer the following questions to review your understanding.
1.
List all perfect squares from 1² up to 15².
[3 marks]2.
What is 11²? Confirm your answer with calculation.
[2 marks]F
Error Analysis & Misconceptions
Identify the mistake in each problem and correct it.
1.
A student writes that 14² = 196 but then claims 14² = 200. Find and explain the error.
[3 marks]2.
Identify and correct the mistake: Someone calculated 9² as 90.
[2 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)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet