Fractions: Error Analysis & Misconceptions
Mathematics
Grade 7
15 questions
~30 mins
3 views0 downloads
About This Worksheet
A worksheet focusing on common errors and misconceptions related to manipulating fractions within algebraic formulae, designed for Grade 7 students.
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Fractions: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 7
Name:
Date:
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x: (1/3) x + 2 = 5
[2 marks]2.
Rearrange the formula to express y in terms of x: y = (2/5) x - 1
[3 marks]3.
Simplify: (3/4) + (1/2)
[2 marks]4.
Calculate x: (2/3) x = 4
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Provide detailed explanations.
1.
A recipe requires (3/4) cup of sugar, but you have only a measuring cup marked in halves. How many half-cup measures do you need?
[3 marks]2.
A student mistakenly multiplies both sides of the equation (1/2) x = 6 by 2 and gets x = 12. Is this correct? Explain the mistake.
[3 marks]3.
Rearranged the formula y = (3/4) x + 2 to solve for x: x = ?
[3 marks]4.
If (2/5) x - (1/3) = 4, find x.
[3 marks]C
Real-world Applications
Answer all questions based on real-world contexts.
1.
A car uses (1/8) tank of fuel per hour. How much fuel is used in 5 hours?
[2 marks]2.
A school distributes (2/5) of its budget to sports. If the total budget is $50,000, how much is allocated to sports?
[2 marks]D
Challenge & Extension
Attempt these more difficult questions for extension.
1.
Construct an algebraic formula for the height h of an object thrown upwards, given in terms of time t, if the initial velocity is (3/2) m/s and initial height is 4 m.
[4 marks]2.
Prove that (2/3) / (4/5) equals (2/3) * (5/4). Is this always true for all fractions? Explain.
[4 marks]E
Mixed Review & Error Analysis
Review the questions carefully. Some common mistakes are intentionally included.
1.
A student simplifies (1/2) + (1/2) as 1/4. Identify the mistake and provide the correct answer.
[3 marks]2.
Rearrange the formula y = (2/3) x + 4 to solve for x, but the student writes x = (3/2) y + 4. Is this correct? Explain.
[3 marks]3.
Calculate: (5/8) ÷ (1/4).
[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