Like Surds Only: Error Analysis & Misconceptions
Mathematics
Grade 8
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on adding and subtracting like surds, designed to identify common errors and misconceptions among Grade 8 students. Emphasizes procedural mastery, problem solving, and error analysis.
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Like Surds Only: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Solve the following problems involving adding and subtracting like surds. Show your working in the grid spaces provided.
1.
Simplify: √8 + 3√8
[2 marks]2.
Calculate: 5√12 - 2√12
[2 marks]3.
Evaluate: √18 + √50
[2 marks]B
Problem Solving & Reasoning
Solve these multi-step problems involving like surds. Explain your reasoning clearly.
1.
If √20 + √20 = 2√20 and √20 - √20 = 0, explain why these results are correct or incorrect. Show your reasoning.
[4 marks]2.
A farmer combines √27 and 2√27 in a bag. How much surd does he have in total? Show your calculations.
[3 marks]C
Real-world Applications
Apply your understanding of like surds to the following word problems.
1.
A construction worker measures two beams with lengths √45 meters and √45 meters. What is the total length of both beams?
[3 marks]D
Challenge & Extension
Tackle these more difficult problems involving like surds.
1.
Simplify: 4√50 + 3√18 - √50. Show all steps.
[4 marks]2.
Construct a pair of like surds that add to 7√2. Describe your process.
[4 marks]E
Mixed Review & Error Analysis
Review the following student's work. Identify and correct the mistakes.
1.
Student's work: √12 + √12 = 2√24. Is this correct? If not, correct the mistake and explain.
[3 marks]2.
Student's work: √8 - √8 = √0 = 0. Is this correct? Justify your answer.
[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)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet