Column Method: Error Analysis & Misconceptions
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the Column Method for multiplying decimals, highlighting common errors and misconceptions for GCSE Higher students.
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Column Method: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
The Column Method for multiplying decimals involves lining up the numbers by their decimal points, ignoring the decimal temporarily to multiply as whole numbers, and then placing the decimal point in the product by counting total decimal places from the factors.
B
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate 0.6 × 0.3 using the Column Method. Show each step clearly.
[3 marks]2.
Multiply 2.4 by 0.5 using the Column Method. Write out the steps.
[3 marks]3.
Using the column method, find the product of 1.25 and 0.4.
[3 marks]4.
Calculate 0.75 × 0.2 and explain the placement of the decimal point in your answer.
[4 marks]C
Problem Solving & Reasoning
Complete the problems below, explaining your reasoning where necessary.
1.
A shop sells 1.2 meters of ribbon at £0.75 per meter. Use the Column Method to calculate the total cost. Explain your steps.
[4 marks]2.
A factory produces 0.85 tonnes of a chemical daily. If production increases by 0.4 tonnes next month, what will the new total be? Use the Column Method and justify your answer.
[4 marks]D
Real-world Applications
Answer the following contextual questions.
1.
A recipe requires 0.75 liters of milk. If a baker makes a batch that is three times larger, how much milk is needed? Show your working using the Column Method.
[3 marks]2.
A car travels 0.45 km each minute. How far does it travel in 0.8 minutes? Use the Column Method and explain your calculation.
[3 marks]E
Challenge & Extension
Attempt these more difficult problems to extend your understanding.
1.
Calculate 2.45 × 0.67 using the Column Method. Identify and correct any common mistakes that might occur.
[4 marks]2.
A rectangular garden measures 3.2 meters by 2.5 meters. Calculate the area in square meters by multiplying the dimensions using the Column Method. State any assumptions or potential errors students should watch out for.
[4 marks]F
Mixed Review & Error Analysis
Review the following common mistakes and identify/advice on corrections.
1.
A student multiplies 0.8 by 0.4 and writes the answer as 0.32, but the decimal placement is incorrect. Identify the mistake and explain how to correctly place the decimal point.
[4 marks]2.
A student attempts 1.2 × 0.3 using the column method but places the decimal incorrectly, resulting in 3.6. What is the error and how can it be avoided?
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet