Doubling: Error Analysis & Misconceptions

Mathematics
GCSE Foundation
19 questions
~38 mins
1 views0 downloads

About This Worksheet

A worksheet exploring common misconceptions in doubling, including error analysis, with questions spanning procedural, reasoning, and real-world contexts.

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Doubling: Error Analysis & Misconceptions

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Introduction to Doubling

Read the key concept below. Use it to answer the questions that follow.
1.
Doubling a number means multiplying it by 2. The formula is: New amount = Original amount × 2. Correctly doubling 15 gives 30.
[2 marks]
2.
What is double 28?
[2 marks]
3.
If you double 0, what is the result?
[2 marks]
B

Fluency & Practice

Answer the following questions to practice doubling calculations.
1.
Calculate the double of 37.
[2 marks]
2.
Double 125.
[2 marks]
3.
What is double 8?
[2 marks]
4.
Double 52.
[2 marks]
C

Problem Solving & Reasoning

Solve these multi-step problems involving doubling. Show your reasoning.
1.
A recipe calls for 200 grams of sugar. If you double the recipe, how much sugar is needed? Explain your reasoning.
[4 marks]
2.
A garden is 15 meters long. If the length is doubled, what is the new length? Why?
[3 marks]
3.
A machine produces 50 units per hour. If production is doubled, how many units will it produce in one hour?
[3 marks]
4.
A student scores 18 marks on a test. If they double their score, what is the new score? Is this a valid way to improve their score? Explain.
[4 marks]
D

Error Analysis & Misconceptions

Identify and correct the common mistake in each scenario.
1.
A student says doubling 45 gives 90. They then mistakenly think doubling 0 gives 45. Identify and explain the mistake.
[4 marks]
2.
A pupil calculates double of 60 as 120 but then incorrectly writes the answer as 1200. Find and fix the error.
[3 marks]
3.
A student claims doubling 7 results in 77. What is the mistake, and what is the correct answer?
[3 marks]
E

Mixed Review & Extension

Attempt these varied problems to consolidate your understanding of doubling.
1.
Construct a rectangle on the grid with length 4 units. Double both sides to form a larger rectangle. Label the new dimensions.
[4 marks]
2.
Plot the graph of y = 2x for x from 0 to 5 on the grid. What does this graph represent in terms of doubling?
[4 marks]
3.
A bag contains 12 marbles. If the number of marbles is doubled, how many marbles are there now? Verify your answer.
[3 marks]
F

Challenge & Extension

Tackle these more difficult problems involving doubling.
1.
A recipe for 4 servings requires 250 grams of flour. How much flour is needed if the recipe is doubled to serve 8? Explain your steps.
[4 marks]
2.
A car travels 60 miles in one hour. If the distance is doubled, how many miles are traveled? What assumption are you making?
[3 marks]

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Details

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