Converting First: Error Analysis & Misconceptions
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on understanding and correcting common errors when converting ratios first before simplifying. It aims to develop procedural mastery and reasoning skills for students in Grade 6.
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Converting First: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
Name:
Date:
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Convert the ratio 20 cm : 0.5 m to have units in centimeters first, then simplify.
[2 marks]2.
A recipe calls for 300 grams of sugar and 0.6 kilograms of flour. Convert the units so both are in grams and then write the ratio.
[2 marks]3.
Express the ratio 45 minutes : 3 hours in terms of hours first, then simplify.
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working in the grid spaces provided.
1.
A car travels 150 kilometers in 3 hours. Convert the distance to meters first, then find the ratio of distance to time. Simplify the ratio.
[3 marks]2.
A bicycle rides 8 kilometers in 30 minutes. Convert time to hours first, then find and simplify the ratio of distance to time.
[3 marks]3.
A container holds 2 liters of water and another holds 250 milliliters. Convert units first to liters, then write and simplify the ratio of their contents.
[3 marks]C
Real-world Applications
Answer all questions. Show your work clearly.
1.
A runner completes 5 kilometers in 25 minutes. Convert the time to hours first, then write the ratio of distance to time in km per hour and simplify.
[3 marks]2.
A water tank drains 0.75 liters every 10 minutes. Convert to liters per hour and express the ratio.
[3 marks]D
Challenge & Extension
Attempt these more difficult problems. Show your reasoning.
1.
A mixture contains 3 liters of juice and 6 liters of water. Convert all units to milliliters and write the ratio of juice to water, then simplify.
[3 marks]2.
A car consumes 8 liters of fuel for 100 kilometers. Convert the fuel amount to milliliters and write the ratio of fuel to distance in meters, then simplify.
[3 marks]E
Mixed Review
Answer all questions. These cover various question types on converting units and ratios.
1.
Convert 120 seconds to minutes, then write the ratio of seconds to minutes and simplify.
[2 marks]2.
A package weighs 2.5 kilograms. Convert to grams and write the ratio of weight to volume if the volume is 500 milliliters, assuming 1 kg per liter. Simplify.
[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