2 Operations: Error Analysis & Misconceptions
Mathematics
GCSE Higher
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and applying the order of operations involving two operations, highlighting common errors and misconceptions for GCSE Higher students.
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2 Operations: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the key concept: When calculating expressions with two operations, follow BIDMAS/PEMDAS to ensure correct order. Remember that multiplication and division are of equal priority and should be performed from left to right, as are addition and subtraction.
B
Fluency & Practice
Solve the following questions to practice applying the order of operations correctly.
1.
Calculate 6 + 4 × 3.
[2 marks]2.
Evaluate 12 ÷ 4 + 5.
[2 marks]3.
Find the value of 9 - 3 + 2.
[2 marks]4.
Calculate 15 ÷ (3 + 2).
[2 marks]C
Problem Solving & Reasoning
Solve these multi-step problems, explaining your reasoning and showing all working.
1.
A calculator shows 8 + 6 × 2. Explain the correct order of operations and calculate the value.
[3 marks]2.
A box contains 10 chocolates. Each chocolate costs 2 pounds. Calculate the total cost, then add 5 pounds for delivery. Show your working.
[3 marks]3.
Evaluate the expression 20 ÷ 4 + 7, and explain why the order of operations matters.
[3 marks]D
Real-world Applications
Apply your understanding to these context-based problems involving two operations.
1.
A recipe requires 3 × 4 + 2 cups of flour. How many cups are needed in total? Show your working.
[3 marks]2.
A car travels 60 km/h for 2 hours, then 30 km/h for 3 hours. Find the total distance traveled.
[3 marks]E
Challenge & Extension
Tackle these more complex problems that challenge your understanding of two operations.
1.
Evaluate 36 ÷ 6 + 4 × 2, and justify your order of calculations.
[3 marks]2.
Simplify the expression 8 + 12 ÷ 3 - 4 × 2, and explain any common errors students might make.
[3 marks]F
Mixed Review & Error Analysis
Review the following common mistakes and correct the errors. Complete the questions to reinforce understanding.
1.
A student calculates 4 + 6 × 3 as 30, thinking to add first. Identify and correct the mistake, explaining the correct steps.
[3 marks]2.
Evaluate 18 ÷ 3 + 4, but a student computes 18 ÷ (3 + 4). Explain why this is incorrect and provide the correct answer.
[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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet