Remainders: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and correctly calculating remainders in short division, highlighting common errors and misconceptions.
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Remainders: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Answer all questions carefully, showing your working in the grid spaces provided.
1.
Calculate 48 ÷ 5. Write the quotient and the remainder.
[2 marks]2.
Find the result of 73 ÷ 8. State the quotient and the remainder.
[2 marks]3.
Divide 66 by 9. What is the quotient and remainder?
[2 marks]4.
Calculate 55 ÷ 6. Write the quotient and the remainder.
[2 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems and explain your reasoning clearly.
1.
A factory produces 123 items each day. If each delivery contains 12 items, how many full deliveries are made, and what is the remaining number of items?
[3 marks]2.
A teacher has 85 pencils, and wants to divide them equally into boxes of 9 pencils each. How many boxes will be completely filled, and how many pencils are left over? Explain your method.
[3 marks]C
Real-world Applications
Apply your knowledge to these contextual word problems.
1.
A school has 142 students and arranges them in groups of 15 for a trip. How many complete groups are formed, and how many students are without a group?
[3 marks]2.
A baker bakes 89 cookies and packs them in boxes of 8. How many boxes are fully packed, and how many cookies are leftover? Show your working.
[3 marks]D
Challenge & Extension
Attempt these more challenging problems to extend your understanding.
1.
Find the smallest 2-digit number that when divided by 7 leaves a remainder of 4. Justify your answer.
[3 marks]2.
A number, when divided by 11, leaves a remainder of 5. If the quotient is 8, what is the original number? Explain your reasoning.
[3 marks]E
Mixed Review & Error Analysis
Review these questions and identify the common mistakes students might make. Correct the errors in the answers provided.
1.
A student calculates 64 ÷ 9 as 7 R8. Is this correct? If not, what should be the correct remainder? Explain the mistake commonly made.
[2 marks]2.
A student states that 85 ÷ 8 = 10 R5. Is this correct? If not, correct the answer and explain the common error.
[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