3+ Operations: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the correct application of the order of operations involving three or more operations. It highlights common misconceptions and encourages error analysis for GCSE Foundation students.
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3+ Operations: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Calculate each expression carefully, showing your working in the grid spaces provided.
1.
Evaluate: 6 + 4 × 3 - 2
[2 marks]2.
Calculate: (8 + 2) ÷ 5 + 7
[2 marks]3.
Simplify: 5 + 3 × 2^2
[2 marks]4.
Calculate: 12 ÷ 4 + 6 × 2
[2 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems and explain your reasoning.
1.
A recipe requires 3 times as much sugar as flour. If the total sugar and flour is 20 grams, how much of each ingredient is used? Show your working.
[4 marks]2.
A car travels a distance of 60 km, at a speed of 30 km/h, then continues at 20 km/h for the remaining distance. If the total travel time is 3 hours, find the remaining distance traveled at 20 km/h. Show all steps.
[4 marks]3.
A shop sells 2 types of boxes: small and large. A small box costs £5 and a large box costs £8. If a customer spends exactly £56 on 10 boxes, how many of each type did they buy?
[4 marks]C
Error Analysis & Misconceptions
The following expressions are common sources of errors. Identify the mistake and correct it.
1.
Incorrect calculation: 3 + 4 × 2^3 = 22. Find the mistake and give the correct answer.
[3 marks]2.
The expression 12 ÷ 3 + 4 × 2 was answered as 8. Explain the error and provide the correct result.
[3 marks]D
Mixed Review & Challenge
Attempt these challenging problems that combine multiple concepts involving 3+ operations.
1.
Evaluate: (6 + 2)^2 - 3 × (4 + 1)
[3 marks]2.
Construct a rectangle on the grid with a length of 8 units and a width of 3 units. Calculate the area using correct order of operations if the formula is written as 2 × (length + width).
[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