Converting: Error Analysis & Misconceptions
Mathematics
Grade 7
13 questions
~26 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on converting ratios to fractions, highlighting common errors and misconceptions. Students will practice procedural skills, solve multi-step problems, and apply conversions in real-world contexts.
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Converting: 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.
Convert the ratio 3:4 into a fraction in simplest form.
[2 marks]2.
Express the ratio 10:25 as a simplified fraction.
[2 marks]3.
Convert the ratio 5:15 into a fraction and simplify it.
[2 marks]4.
A recipe calls for 2 parts flour to 8 parts sugar. Write this as a simplified fraction.
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show your working clearly.
1.
A student reports that the ratio 12:16 can be written as 3/4. Is this correct? Explain your reasoning and, if necessary, correct the conversion.
[3 marks]2.
A ratio of 18:24 is converted to a fraction. What is the simplified fraction, and what mistake might lead to an incorrect answer?
[3 marks]3.
Explain why converting the ratio 7:2 directly to 0.7/0.2 is incorrect when expressing as a fraction.
[3 marks]C
Real-world Applications
Answer all questions. Show your working clearly.
1.
A sports team has a ratio of 5:3 boys to girls. If there are 20 boys, how many girls are there? Write the ratio as a simplified fraction.
[3 marks]2.
A school has a student-to-teacher ratio of 25:1. If there are 300 students, how many teachers are there? Express the ratio as a simplified fraction.
[3 marks]D
Challenge & Extension
Answer all questions. Provide detailed explanations.
1.
Construct a ratio of 7:4 and convert it to a decimal, then to a fraction. Identify and explain any errors that could occur during these conversions.
[4 marks]2.
Given the ratio 9:6, students often convert directly to 0.9/0.6. Explain why this is incorrect and how to properly convert it.
[4 marks]E
Mixed Review & Error Analysis
Identify the mistake, if any, and correct it.
1.
A student writes the ratio 20:25 as 4/5 without simplifying. Is this correct? If not, fix and explain.
[2 marks]2.
A student converts 8:12 to 0.66. Is this correct? If not, what is the correct decimal?
[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