Part:Whole: Error Analysis & Misconceptions
Mathematics
Year 9
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and identifying misconceptions related to Part:Whole ratios in Year 9. Includes error analysis, procedural practice, and real-world scenarios.
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Full preview • 13 questions
Part:Whole: Error Analysis & Misconceptions
Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
A class has 24 students, and 6 of them are wearing glasses. What is the ratio of students wearing glasses to the total number of students? Express your answer as a simplified fraction.
[2 marks]2.
If 15 out of 50 tickets sold are for children, what fraction of tickets are for children?
[2 marks]3.
Express the ratio 8:32 as a simplified fraction.
[2 marks]4.
A recipe calls for 2 parts of sugar to 5 parts of flour. What fraction of the combined mixture is sugar?
[2 marks]B
Problem Solving & Reasoning
Answer the following multi-step questions, showing your reasoning.
1.
A survey finds that 60% of students prefer tea over coffee. If 180 students prefer tea, how many students are surveyed in total? Then, calculate the Part:Whole ratio of students who prefer coffee.
[4 marks]2.
A garden has 120 flowers, of which 30 are roses. What is the fraction of roses in the garden? If 10 more roses are planted, what is the new fraction of roses?
[3 marks]3.
If a student scores 18 out of 24 on a test, what is the Part:Whole ratio of points scored? Convert this ratio into a simplified fraction.
[2 marks]C
Real-world Applications
Solve these context-based problems involving Part:Whole ratios.
1.
A school reports that 45% of its students participate in sports. If the school has 800 students, how many students participate in sports? What is the Part:Whole ratio of students participating?
[3 marks]2.
A bag contains 60 candies, of which 15 are red. What fraction of candies are red? If 5 more red candies are added, what is the updated fraction?
[3 marks]D
Challenge & Extension
Attempt these advanced problems to extend your understanding.
1.
A factory produces 250 units of product, of which 200 are defective. What is the Part:Whole ratio of defective units? Express your answer as a simplified fraction. Then, if 50 more units are inspected with the same defect rate, how many defective units are expected?
[4 marks]2.
A survey found that the Part:Whole ratio of people who like a new product is 7:20. If 140 people like it, how many people were surveyed in total? What is the percentage of people who do not like it?
[4 marks]E
Mixed Review & Error Analysis
Answer these questions and identify common misconceptions.
1.
A student claims that the ratio 10:40 can be written as 10/40 without simplifying. Is this correct? If not, what is the correct simplified fraction? Explain the misconception.
[3 marks]2.
A ratio of 18:36 is converted to a fraction as 18/36. A student simplifies this to 1/2. Is this correct? What error might a student make in this process?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet