Recognizing Patterns: Challenge & Extension
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the recognition of patterns within Fibonacci and special sequences, designed for GCSE Foundation students to develop their understanding and problem-solving skills.
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Full preview • 12 questions
Recognizing Patterns: Challenge & Extension
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the next two terms in the Fibonacci sequence: 1, 1, 2, 3, 5, __, __.
[2 marks]2.
Determine the 10th term of the sequence where each term after the first two is the sum of the previous two: 2, 3, 5, 8, __, __.
[2 marks]3.
Identify whether the sequence 2, 4, 8, 16, 32 is arithmetic, geometric, or neither.
[1 mark]4.
Construct the next term in the sequence: 100, 80, 64, 51.2, __.
[2 marks]5.
Plot the graph of y = 2x for x = 0 to 5. (Draw on the grid)
[2 marks]6.
Construct a triangle with sides 3 cm, 4 cm, and 5 cm on the grid. Confirm whether it is a right triangle.
[3 marks]7.
Find the 8th term in the sequence: 5, 10, 20, 40, __, __.
[2 marks]8.
Identify the pattern in the sequence: 1, 4, 9, 16, 25, __, __.
[2 marks]9.
In the sequence 3, 6, 12, 24, __, __, determine the pattern and find the next two terms.
[3 marks]10.
A sequence starts with 1 and each subsequent term is double the previous. Write the first five terms.
[2 marks]11.
Identify and correct the mistake in this sequence: 2, 4, 8, 16, 30.
[3 marks]12.
A pattern involves adding 3, then 5, then 7, alternating. Starting with 2, find the 7th term.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet