Remainders: Challenge & Extension
Mathematics
Grade 8
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of remainders in short division problems, including procedural practice, problem solving, real-world applications, and extension challenges.
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Remainders: Challenge & Extension
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Solve the following division problems involving remainders. Show your working in the grid spaces provided.
1.
Calculate 48 divided by 5. What is the quotient and remainder?
[2 marks]2.
Divide 73 by 8. Write the quotient and the remainder.
[2 marks]3.
What is 56 divided by 9? Provide the quotient and remainder.
[2 marks]B
Problem Solving & Reasoning
Solve these multi-step problems involving remainders. Show detailed working.
1.
A teacher distributes 125 pencils equally into boxes, with each box holding 12 pencils. How many pencils are left undistributed? Explain your reasoning.
[3 marks]2.
A factory packages 94 toys into boxes of 7. How many toys are unpacked, and why?
[3 marks]C
Real-world Applications
Apply your understanding of remainders to these word problems. Write your answer clearly.
1.
A farmer has 147 apples and wants to pack them into baskets each holding 10 apples. How many apples will be left over after packing?
[3 marks]2.
A school has 183 students and wants to assign them evenly into classes of 15. How many students will be left unassigned?
[3 marks]D
Challenge & Extension
Tackle these more difficult problems involving remainders. Show detailed working and reasoning.
1.
Find the quotient and remainder when 235 is divided by 12. Then, explain how the division process works for numbers with remainders.
[4 marks]2.
A container holds 358 liters of water. If it is poured equally into 9 tanks, how much water is in each tank? How much water remains, and why?
[4 marks]E
Mixed Review
Answer these questions to review various aspects of remainders. Show your working.
1.
Divide 96 by 7. What are the quotient and remainder?
[2 marks]2.
A total of 200 candies are to be packed into bags of 13 each. How many candies are left unpacked?
[3 marks]3.
Explain why a division problem might give a quotient of 0 and a non-zero remainder.
[3 marks]F
Error Analysis
Identify and correct the mistake in each of these division problems involving remainders.
1.
A student calculates 81 divided by 6 as 13 with a remainder of 3. Is this correct? If not, correct the mistake and explain.
[3 marks]2.
A student claims 59 divided by 8 is 7 with a remainder of 1. Is this correct? If not, correct and explain.
[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)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet