4+ Terms: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on collecting like terms with 4 or more terms, exploring common misconceptions, and developing procedural mastery for GCSE Foundation students.
Worksheet Preview
Full preview • 14 questions
4+ Terms: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Review that collecting like terms involves combining terms with the same variable and exponent. Be aware of common mistakes such as combining unlike terms or missing signs. Practice carefully to avoid these errors.
1.
Simplify the expression: 3x + 2x + 4x + x
[2 marks]2.
Identify the mistake: Simplify 5a + 3b + 2a + b as 7a + 4b.
[3 marks]3.
Simplify: 4m + 3n + 2m + 5n + m
[2 marks]4.
Explain why the following is incorrect: Simplify 2x + 3x + 4y + y as 9x + 5y.
[3 marks]B
Fluency & Practice
Solve the following by collecting like terms carefully, paying attention to signs and variables.
1.
Simplify: 7x - 2x + 3x + 4x
[2 marks]2.
Simplify: 5a + 3b + 2a + 4b + 2a
[2 marks]3.
Simplify: 3x + 4x + 5x + 6x
[2 marks]4.
Simplify: 2m + 4n + 2m + 3n + m
[2 marks]C
Problem Solving & Reasoning
Solve multi-step problems involving collecting like terms. Explain your reasoning clearly.
1.
A student combines the terms 4x + 2x + 3y + y + 5x. What is the simplified expression? Explain any mistakes they might make.
[4 marks]D
Real-world Applications
Apply collecting like terms to a real-world context involving algebra.
1.
A gardener plants 3 rows of flowers, each row containing 5 roses, 2 tulips, and 3 daisies. Write an expression for the total number of each type of flower and simplify if possible.
[4 marks]E
Challenge & Extension
Tackle these advanced problems involving expressions with multiple like terms and potential misconceptions.
1.
Simplify: 6a + 4b - 2a + 3b + 7a - 5b + 2a.
[3 marks]2.
Identify the error: Simplify 3x + 2y + x + y + 4z as 4x + 3y + 4z.
[3 marks]F
Mixed Review & Error Analysis
Answer the following questions, identifying and correcting common mistakes in collecting like terms.
1.
Simplify: 2x + 3x + 4x + 5x. A student writes 14x. Is this correct? If not, correct it.
[3 marks]2.
Identify and correct the mistake: Simplify 7a + 2b + 5a + 3b as 12a + 5b.
[3 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)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet