Calculation Challenge & Extension: Mixed Numbers & Improper Fractions
Mathematics
Year 9
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet designed to challenge Year 9 students with calculations involving converting between mixed numbers and improper fractions, including problem-solving and real-world applications.
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Calculation Challenge & Extension: Mixed Numbers & Improper Fractions
Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Convert the mixed number 3 2/5 to an improper fraction.
[2 marks]2.
Express the improper fraction 23/4 as a mixed number.
[2 marks]3.
Add the mixed numbers 4 1/3 and 2 2/3. Write your answer as a mixed number.
[3 marks]B
Calculation & Conversion
Answer all questions. Show your working in the grid spaces provided.
1.
Convert 7 3/8 to an improper fraction.
[2 marks]2.
Express 11/4 as a mixed number.
[2 marks]3.
Calculate: (3 1/2) + (2 2/3). Write your answer as a mixed number.
[3 marks]C
Problem Solving & Reasoning
Solve the following multi-step problems. Show detailed working.
1.
A recipe requires 2 1/2 cups of sugar. If you want to make a triple batch, how many cups of sugar will you need in total?
[4 marks]2.
A container holds 5 3/4 liters of juice. If 2 1/2 liters are poured out, how much remains? Express your answer as a mixed number.
[4 marks]D
Real-world Applications
Use your calculations to solve these real-world scenarios. Show your working.
1.
A ribbon is 4 2/3 meters long. If you cut off 1 1/2 meters, how much ribbon is left? Write your answer as a mixed number.
[3 marks]2.
A cyclist traveled 3 3/4 miles in the morning and 2 2/5 miles in the afternoon. What is the total distance traveled?
[3 marks]E
Challenge & Extension
Attempt these challenging questions. Show detailed working.
1.
Express the mixed number 9 4/7 as an improper fraction and then multiply it by 2/3. Simplify your answer.
[4 marks]2.
A recipe calls for 1 3/4 cups of flour. If you accidentally use 2 1/2 cups, by what fraction did you overuse the flour? Express your answer as a simplified fraction.
[4 marks]F
Mixed Review & Error Analysis
Review the questions carefully. For the last two questions, identify common mistakes and suggest corrections.
1.
A student converts 3 1/4 to an improper fraction as 13/4. They then add 2/4 to it and get 15/4. Identify and correct the mistake in their calculation.
[3 marks]2.
A student tries to convert 7/2 to a mixed number and writes 3 1/2, which is correct. However, in a calculation, they mistakenly write this as 3 1/4. What is the error and how should it be corrected?
[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