Positive Only: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and correctly ordering positive integers, addressing common misconceptions and errors.
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Positive Only: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Order the following numbers from smallest to largest: 15, 7, 22, 10.
[2 marks]2.
Arrange these in descending order: 50, 75, 60, 55.
[2 marks]3.
Identify the mistake: Placing 35 before 25 in order, listing as 35, 25, 20.
[3 marks]4.
What is the correct order of these numbers: 12, 3, 9, 15?
[2 marks]B
Targeted Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Order the following in increasing order: 28, 14, 35, 7.
[2 marks]2.
A student writes: 10, 15, 20, 25, 30. Is this correct? If not, identify the mistake.
[3 marks]3.
Order these numbers: 42, 37, 45, 40.
[2 marks]4.
Identify the common misconception: Someone orders 10, 20, 30, 25 and claims it is correct. What is wrong?
[3 marks]5.
Construct an increasing sequence of four positive integers starting from 5.
[3 marks]C
Error Analysis & Misconceptions
Review the following common mistake. Identify and correct it.
1.
A student writes: 5, 10, 15, 12, 20, claiming it's correctly ordered. What is the mistake?
[3 marks]2.
Identify the error: A student sorts 12, 9, 15, 7 and writes 15, 12, 9, 7.
[3 marks]D
Challenge & Extension
Attempt these more difficult problems involving ordering positive integers.
1.
Construct the smallest possible four-digit number using the digits 3, 5, 7, 9, without repetition.
[3 marks]2.
Order the set of numbers: 58, 83, 59, 82, from smallest to largest.
[2 marks]E
Mixed Review
Answer the following variety of questions on positive integer ordering.
1.
Plot the graph of y = 2x for x from 1 to 5. (Draw on grid)
[3 marks]2.
Construct a triangle with sides 3, 4, and 5 units. Is it a right-angled triangle?
[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