Converting First: Problem Solving & Reasoning
Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on Converting First, teaching students how to convert units and ratios before simplifying, through various problem-solving scenarios.
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Converting First: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Convert 3 meters to centimeters, then express 300 centimeters as a ratio of meters. Simplify the ratio.
[3 marks]2.
A recipe calls for 500 grams of flour and 250 grams of sugar. Convert these to kilograms and write the ratio of flour to sugar in simplest form.
[3 marks]3.
Express the ratio 1500 ml to 750 ml as a simplified ratio after converting both to liters.
[3 marks]4.
Fluency & Practice: Convert 5 hours to minutes and express as a ratio of minutes to hours in simplest form.
[2 marks]5.
A car travels 150 kilometers in 3 hours. Convert the speed to meters per second and express as a ratio of distance to time.
[3 marks]6.
Problem Solving & Reasoning: A cyclist pedals 24 km in 2 hours. Convert the distance to meters and the time to seconds, then find the ratio of distance to time in meters per second. Simplify your answer.
[4 marks]7.
Real-world Application: An industrial machine produces 2500 grams of product in 5 hours. Convert the production rate to kilograms per minute and express as a ratio.
[3 marks]8.
Construct a ratio of 300 centimeters to 2 meters after converting both to the same unit. Simplify the ratio.
[3 marks]9.
Challenge & Extension: Convert 2.5 kilometers to meters, then express the ratio of kilometers to meters in simplest form.
[3 marks]10.
Error Analysis: A student converts 4 hours to minutes as 400 minutes. Identify the mistake and correct it.
[3 marks]11.
Mixed Review: Convert 750 milliliters to liters and express the ratio of milliliters to liters in simplest form.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet