Long Multiplication: Error Analysis & Misconceptions

Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on long multiplication with an emphasis on error analysis, misconceptions, and mastery of 2-digit by 2-digit multiplication. Designed for GCSE Foundation students.

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Long Multiplication: Error Analysis & Misconceptions

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Fluency & Practice

Answer the following questions by performing long multiplication. Show your working clearly in the grid areas.
1.
Calculate 23 × 45 using long multiplication.
[2 marks]
2.
Calculate 67 × 38 with proper long multiplication steps.
[2 marks]
3.
Multiply 49 by 52 using the long multiplication method.
[2 marks]
4.
Calculate 54 × 29 and check for errors in your working.
[2 marks]
B

Problem Solving & Reasoning

Use your understanding of long multiplication to solve these multi-step problems. Explain your reasoning in the space provided.
1.
A bakery produces 48 boxes of cookies each day. How many cookies are baked in total if each box contains 36 cookies? Show your long multiplication process and explain any mistakes you might make.
[4 marks]
2.
A factory packs 24 products into each box. If there are 56 boxes, how many products are packed? Identify common errors in the calculation.
[4 marks]
C

Real-world Applications

Apply your multiplication skills to practical scenarios. Show all working in the grid.
1.
A school orders 37 boxes of pencils, with each box containing 48 pencils. Calculate the total number of pencils ordered and explain any errors students might encounter.
[3 marks]
D

Challenge & Extension

Tackle these more difficult problems to extend your understanding of long multiplication.
1.
Calculate 86 × 79 using long multiplication. Identify and correct any common mistakes in the process.
[3 marks]
2.
A farmer plants 25 fields, each with 48 trees. Find the total number of trees planted. Discuss potential errors in the long multiplication method.
[3 marks]
E

Mixed Review & Error Analysis

Review the following multiplication steps. Identify the errors made and correct them.
1.
A student calculated 34 × 62 and wrote the partial products as 204 and 680, then summed to get 884. Find and correct the mistake in this calculation.
[3 marks]
2.
Calculate 45 × 56. A student wrote the answer as 2540. Identify where the error occurred and correct it.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet