Column Method: Error Analysis & Misconceptions

Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on the Column Method for multiplying 2-digit by 1-digit numbers, emphasizing error analysis and misconceptions. Designed to develop procedural mastery and reasoning skills.

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Column Method: Error Analysis & Misconceptions

Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet

Grade Year 9
A

Fluency & Practice

Calculate the following using the Column Method. Show your working in the grid spaces provided.
1.
Multiply 34 by 5 using the Column Method. Write down each step clearly.
[2 marks]
2.
Calculate 47 × 3. Show the column multiplication process.
[2 marks]
3.
Multiply 28 by 4 using the Column Method.
[2 marks]
4.
Calculate 56 × 2 and write your working out.
[2 marks]
B

Problem Solving & Reasoning

Solve these multi-step problems. Explain your reasoning clearly.
1.
A shop sells 27 packs of pens each containing 4 pens. Use the Column Method to find the total number of pens. Explain each step.
[3 marks]
2.
A farmer has 48 boxes, each with 3 apples. Use the Column Method to find the total apples. Describe your steps.
[3 marks]
C

Real-world Applications

Apply the Column Method to solve these word problems in context.
1.
A school orders 32 boxes of pencils, with 5 pencils in each box. Use the Column Method to find the total pencils ordered.
[3 marks]
D

Challenge & Extension

Attempt these harder questions to extend your understanding.
1.
Calculate 69 × 7 using the Column Method. Identify and correct any mistakes in the following incorrect working: 69 × 7 = 63 + 6 + 3 + 7 = 79.
[3 marks]
2.
Using the Column Method, multiply 85 by 9. Explain why carrying over is necessary in this calculation.
[3 marks]
E

Mixed Review & Error Analysis

Identify the errors in the following worked examples and correct them.
1.
A student calculates 46 × 3 as 138 by writing: 4×3=12, then 6×3=18, and adding to get 12 + 18 = 30. Identify and explain the mistake.
[3 marks]
2.
A student attempts 52 × 4 but writes the answer as 208 without showing steps. Is this correct? If not, what mistake might they have made?
[2 marks]

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Details

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