Fractions: Problem Solving & Reasoning
Mathematics
Grade 6
18 questions
~36 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on fractions within the context of recipe scaling, designed to develop procedural skills and problem-solving abilities for Grade 6 students.
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Full preview • 18 questions
Fractions: Problem Solving & Reasoning
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.
Simplify the fraction 18/24 to its lowest terms.
[1 mark]2.
Convert the mixed number 2 1/3 to an improper fraction.
[1 mark]3.
Add: 3/8 + 5/8.
[1 mark]4.
Subtract: 7/10 - 2/5.
[1 mark]B
Problem Solving & Reasoning
Answer all questions with detailed reasoning. Use the grid for working out when needed.
1.
A recipe calls for 3/4 cup of sugar. If you want to make half the recipe, how much sugar do you need? Show your working.
[2 marks]2.
A cake requires 2/3 cup of oil. If you double the recipe, how much oil is needed? Write your answer as a fraction in lowest terms.
[2 marks]3.
A recipe needs 2/5 of a teaspoon of salt. If you want to make 1 1/2 times the recipe, how much salt will you use? Show your working.
[2 marks]4.
If a mixture contains 1/2 flour and 1/4 sugar, what fraction of the mixture is flour? Show your working.
[2 marks]5.
A recipe scaled from 1/3 cup to 2/3 cup. What is the scale factor? Write as a simplified fraction.
[2 marks]C
Real-world Applications
Answer all questions in context. Use the grid for working out.
1.
A pancake recipe requires 1/2 cup of milk. If you want to make three times the recipe, how much milk do you need? Show your working.
[2 marks]2.
A juice mixture contains 2/3 orange juice and 1/3 apple juice. If you want to make a total of 4 liters of juice, how much orange juice is needed? Write your answer as a fraction or decimal.
[2 marks]D
Challenge & Extension
Attempt these more difficult problems. Show all your working.
1.
A chocolate recipe uses 3/4 cup of cocoa powder. If you want to make a recipe that is 1 1/2 times larger, how much cocoa powder do you need? Write your answer as a simplified fraction.
[3 marks]2.
A fruit punch mixture contains 2/3 lemon juice and 1/4 lime juice. If the total mixture is 5 liters, how much lime juice is in the mixture? Show your working.
[3 marks]E
Mixed Review
Answer these questions to review various fraction concepts.
1.
Express 7/8 as a decimal.
[1 mark]2.
Write 0.6 as a fraction in lowest terms.
[1 mark]3.
Subtract: 5/6 - 1/2.
[1 mark]4.
A recipe for cookies uses 2/3 cup of sugar. If you accidentally use 1/4 cup, what fraction of the required sugar did you use? Show your working.
[2 marks]F
Error Analysis
Look at the common mistake below and identify the error. Then, provide the correct solution.
1.
Student's mistake: Simplified 20/28 to 5/7 without dividing both numerator and denominator by 4. Is this correct? If not, correct the fraction and explain.
[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