Word Problems: Real-world Applications of Multiplying Fractions
Mathematics
Grade 6
17 questions
~34 mins
1 views0 downloads
About This Worksheet
This worksheet helps students apply their understanding of multiplying fractions by integers through real-world word problems, increasing in difficulty and including extension challenges.
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Word Problems: Real-world Applications of Multiplying Fractions
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate: 2/3 × 4
[2 marks]2.
Calculate: 5/8 × 3
[2 marks]3.
Simplify: 7/10 × 2
[2 marks]4.
Calculate: 3/4 × 5
[2 marks]5.
Calculate: 1/2 × 6
[2 marks]B
Problem Solving & Reasoning
Solve the following multi-step word problems. Show your working.
1.
Emma ate 3/4 of a chocolate bar. She then gave away 2 times that amount to her friend. How much of the chocolate bar did she give away?
[4 marks]2.
A recipe requires 2/3 cup of sugar per batch. If a baker makes 5 batches, how much sugar does she use in total?
[4 marks]3.
A garden is 3/5 of an acre. If a landscaper plants flowers on 1/2 of the garden, how much of the garden is planted with flowers?
[4 marks]4.
A piece of ribbon is 4/7 meters long. If a crafter cuts off 1/3 of the ribbon to make decorations, how much ribbon does she use?
[4 marks]C
Real-world Applications
Apply your skills to these real-world scenarios involving fractions and multiplication.
1.
A farmer harvests 2/5 of his field. If he harvests 3 times this amount in a week, how much of the field does he harvest in total?
[4 marks]2.
A paint container holds 3/8 of a gallon. If a painter uses 2 containers for a project, how much paint is used?
[4 marks]3.
A school has 5/6 of its students participating in sports. If 4 times as many students participate in music, how many students are involved in music?
[4 marks]D
Challenge & Extension
Solve these challenging problems that extend your understanding.
1.
A marathon runner runs 1/4 of a race lap every 3 minutes. How much of the lap does she complete in 45 minutes?
[4 marks]2.
A factory produces 2/3 of a batch of widgets each hour. How many widgets are produced in 8 hours?
[4 marks]E
Mixed Review
Answer a variety of questions to review your understanding of word problems involving fractions.
1.
A baker uses 3/4 of a kilogram of flour. He makes 4 identical bread loaves. How much flour does each loaf contain?
[2 marks]2.
A bookshelf has 7/8 meters of shelf space. If 2/3 of the space is occupied by books, how much space is free?
[2 marks]F
Error Analysis
Review the following student's error and identify the mistake. Correct the solution.
1.
A student calculates 2/5 × 3 as 6/5, claiming to have multiplied numerators and denominators. Identify and correct the mistake.
[4 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