<, >, =: Error Analysis & Misconceptions
Mathematics
GCSE Higher
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet exploring common errors and misconceptions related to <, >, and = symbols, designed for GCSE Higher students to develop understanding and accuracy.
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Full preview • 14 questions
<, >, =: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Compare the numbers: 45 and 48. Write the correct inequality symbol (<, >, =) between them.
[1 mark]2.
Calculate 60 - 15 and compare it with 40. Write the correct inequality.
[2 marks]3.
Determine whether: 0.75 and ¾ are equal, or one is greater.
[1 mark]4.
Construct a comparison between 2/3 and 0.66. Which is larger?
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Provide clear explanations for your reasoning.
1.
A student claims that 0.5 + 0.25 > 0.75. Is this correct? Explain your reasoning.
[2 marks]2.
Solve and compare: 3×4 and 2×6. Write the correct inequality and explain which is larger.
[2 marks]3.
A box contains 15 apples, and another contains 20 apples. Write an inequality to compare the quantities and justify.
[2 marks]4.
If 2x + 3 > 7, what is the smallest integer value of x?
[2 marks]C
Real-world Applications
Answer all questions based on the scenarios provided.
1.
A shop sells items costing £8 each. If a customer spends less than £50, how many items can they buy? Write the inequality and solve.
[2 marks]2.
A car travels at a speed greater than 60 mph. If the speed is s mph, write the inequality and determine if s = 65 is valid.
[2 marks]D
Challenge & Extension
Attempt these more challenging problems. Show detailed working.
1.
Solve the compound inequality: 4 < 2x + 1 < 10. Find the range of x.
[3 marks]2.
Construct and compare the following: (3/4) + (2/3) and 1.9. Which is larger? Show your working.
[3 marks]E
Mixed Review & Error Analysis
Answer the questions and identify common misconceptions. Make corrections where necessary.
1.
A student writes: 5 > 3 + 2. Is this correct? Explain any mistake if present.
[2 marks]2.
Identify and correct the mistake: 7 < 10, but student writes 7 > 10.
[1 mark]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