Large Numbers: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on subtracting large numbers, designed to address common errors and misconceptions. It includes procedural practice, problem-solving, real-world contexts, and extension questions.
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Large Numbers: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Answer all questions carefully. Show your working in the grid spaces provided.
1.
Calculate 7254 minus 3891. Show your working.
[2 marks]2.
Subtract 10,245 from 15,678. Show your working.
[2 marks]3.
Find the result of 8,764 – 3,219.
[2 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems and explain your reasoning.
1.
A factory produces 12,345 units daily. Due to a system error, only 9,876 units are recorded. How many units are missing? Explain your method.
[3 marks]2.
A school has 14,500 students. If 3,768 students leave and 2,495 join, what is the new total? Show your working.
[3 marks]C
Real-world Applications
Apply your subtraction skills to these real-world scenarios.
1.
A bank account has £56,782. If a customer withdraws £12,450, how much remains in the account?
[2 marks]2.
A car travels 18,495 km in a year. After some maintenance, it has 4,153 km less than before. How many km has the car traveled now?
[2 marks]D
Challenge & Extension
Attempt these more difficult questions to extend your understanding.
1.
Subtract 999,999 from 1,234,567. Explain any mistakes commonly made in this calculation and how to avoid them.
[3 marks]2.
Construct a subtraction calculation with 5-digit numbers where the answer is less than 10,000. Show the calculation and explain your reasoning.
[3 marks]E
Mixed Review
Answer a variety of questions to review your skills on large number subtraction.
1.
Calculate 98,765 – 76,543. Show your working.
[2 marks]2.
If the price of an item was £12,345 and now it is reduced by £2,468, what is the new price?
[2 marks]F
Error Analysis & Misconceptions
Identify the common mistake made in each calculation and suggest a correction.
1.
A student calculates 56,789 – 23,456 as 33,343. Identify the mistake and correct it.
[2 marks]2.
In subtracting 100,000 – 45,678, a student gives 54,322 but forgets to borrow. Explain the mistake and how to fix it.
[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)
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- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet