More Complex: Error Analysis & Misconceptions in Sharing in Ratio
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet designed to challenge students with complex sharing ratios, focusing on identifying misconceptions and error analysis in multi-part ratios.
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More Complex: Error Analysis & Misconceptions in Sharing in Ratio
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Solve the following ratio sharing problems. Show all working in the grid spaces provided.
1.
A recipe requires flour, sugar, and butter in the ratio 3:2:1. If 12 cups of flour are used, how much sugar and butter are needed?
[3 marks]2.
A class has students divided in a ratio of 5:3:2 for boys, girls, and others. If there are 50 boys, how many students are there in total?
[3 marks]3.
In a ratio of 7:5:3, if one part equals 6 units, what is the total amount represented by the ratio?
[2 marks]B
Problem Solving & Reasoning
Answer these multi-step questions and explain your reasoning clearly.
1.
A gardener divides flowers into three sections in the ratio 4:3:2. The total number of flowers is 81. How many flowers are in each section? Explain your method.
[4 marks]2.
A map scale shows that 1 cm represents 5 km. If a route is divided into segments in a ratio 3:4:5, and the first segment is 15 km, what is the length of each segment?
[4 marks]C
Real-world Applications
Apply your understanding to real-world scenarios involving ratios.
1.
A company allocates its advertising budget in the ratio 2:3:5 for TV, radio, and online ads. If the total budget is $60,000, how much is spent on each medium?
[3 marks]2.
A sports team has players in a ratio of 4:3:2 for defenders, midfielders, and attackers. If there are 36 players in total, how many players are in each position?
[3 marks]D
Challenge & Extension
Tackle these advanced problems to deepen your understanding of complex ratios.
1.
Two quantities are in the ratio 5:8. If the sum of these quantities is 130, what are the individual quantities? Show detailed working.
[4 marks]2.
A recipe adjusts the ingredients in the ratio 3:4:5 for ingredients X, Y, Z. If 30 units of ingredient X are used, find the amounts of Y and Z, and verify the ratio.
[4 marks]E
Mixed Review & Error Analysis
Identify and correct the common mistakes in the following ratio sharing problems.
1.
A student divides a total of 90 candies among children in the ratio 2:3:4. They mistakenly think the amount for each group is directly proportional to the ratio without summing the parts. Identify the mistake and correct the distribution.
[3 marks]2.
A ratio of 6:9 is given, and a student claims the total is 90 units. Is this correct? Explain and correct if needed.
[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)
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- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet