IGCSE Maths Sequences — Past Paper Question Analysis
Sequences is a key topic in the Cambridge IGCSE Mathematics 0580 syllabus and appears consistently across all exam sessions. Understanding how sequences questions are structured in past papers gives y
Sequences is a key topic in the Cambridge IGCSE Mathematics 0580 syllabus and appears consistently across all exam sessions. Understanding how sequences questions are structured in past papers gives you a significant advantage. This page analyses question patterns, mark allocation, and examiner expectations so you can prepare strategically. Teacher Rig uses past paper analysis as a core part of exam preparation, ensuring students are familiar with every question type they may encounter.
Question Patterns in Sequences
| Pattern | Frequency | Papers | Marks |
|---|---|---|---|
| Finding the nth term of a linear sequence | Very Common | Paper 2, Paper 4 | 2-3 marks |
| Finding the nth term of a quadratic sequence | Common | Paper 4 | 3-4 marks |
| Recognising and continuing patterns | Very Common | Paper 2, Paper 4 | 2-3 marks |
| Using the nth term to find specific terms | Common | Paper 2, Paper 4 | 2-3 marks |
Finding the nth term of a linear sequence
Find the common difference d. The nth term = dn + (first term - d). Check your formula works for the given terms.
Finding the nth term of a quadratic sequence
Find first and second differences. If second differences are constant (= 2a), the nth term starts with an^2. Subtract an^2 from each term to find the remaining linear part.
Recognising and continuing patterns
Look for the pattern in the differences. Check if it is arithmetic (constant difference), geometric (constant ratio), or another pattern like Fibonacci.
Using the nth term to find specific terms
Substitute the required term number into your nth term formula. To find which term has a given value, set the formula equal to that value and solve.
Year-by-Year Trends
Over the past five exam sessions, sequences questions have remained consistent in both style and difficulty. The May/June sessions tend to feature slightly more challenging sequences problems compared to October/November. Recent papers show an increased emphasis on multi-step problems that combine sequences with other topics, particularly in Paper 4. The total marks allocated to sequences have remained stable, typically comprising the same proportion of the overall paper.
Mark Allocation
In Paper 2 (non-calculator), sequences questions typically carry 4-8 marks and test conceptual understanding without complex arithmetic. In Paper 4 (calculator), sequences questions can carry up to 10-12 marks and often involve multi-step problems with real-world contexts. Part (a) questions usually carry 1-2 marks for straightforward recall, while later parts build in difficulty and carry 3-5 marks each.
Common Question Setups
- A sequence of numbers with the next terms to find
- A linear or quadratic sequence requiring the nth term
- A pattern of shapes with a table of values to complete
- A sequence where a specific term value must be found
Examiner Insights
- Always verify your nth term formula by substituting n = 1, 2, and 3
- For quadratic sequences, the second difference equals 2a where the nth term starts with an²
- Do not confuse the position number n with the term value
- Pattern questions may ask for a general rule — express this algebraically, not in words
Worked Examples
Full solutions for Sequences
Revision Notes
Key concepts & formulas
Common Mistakes
Avoid these errors
Frequently Asked Questions
What sequence questions appear on Core vs Extended?
Core tests continuing sequences and finding nth terms of linear sequences. Extended adds quadratic sequences, geometric sequences, and more complex pattern problems.
How do I find the nth term of a quadratic sequence?
Find the first and second differences. If the second difference is constant (say 2a), the nth term formula starts with an². Subtract an² from each original term to find the remaining linear part, then combine.
How many marks are sequence questions worth?
Sequence questions typically carry 3-6 marks per question. They appear on both papers and are a reliable source of marks if you know the methods well.
Master Sequences Past Paper Questions
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