Pattern Recognition: Problem Solving & Reasoning
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on pattern recognition within geometric sequences, designed to develop procedural skills and reasoning at GCSE Higher level.
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Pattern Recognition: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the 5th term of the geometric sequence where the first term is 3 and the common ratio is 2.
[2 marks]2.
Find the common ratio of the sequence: 4, 8, 16, 32.
[2 marks]3.
Determine the first term if the 4th term is 24 and the common ratio is 3.
[2 marks]4.
Plot the graph of y=2×(1/2)^x for x from 0 to 5.
[2 marks]5.
Construct a geometric sequence on the grid with first term 5 and common ratio 3, then find the 6th term.
[3 marks]6.
A ball is dropped from a height of 10 meters. Each bounce reaches 60% of the previous height. What is the height after 4 bounces?
[3 marks]7.
In a sequence, the 3rd term is 24 and the 5th term is 96. Find the first term and the common ratio.
[4 marks]8.
Identify the error in the sequence: 2, 4, 8, 15, 30. Correct the sequence.
[3 marks]9.
A savings account grows by 5% compound interest annually. If £1000 is invested, what will it be after 3 years?
[4 marks]10.
A sequence has the pattern: 81, 27, 9, 3. What is the common ratio? What is the 6th term?
[4 marks]11.
Challenge: Derive a general formula for the nth term of the sequence 3, 6, 12, 24, ... and use it to find the 10th term.
[4 marks]12.
Mixed Review: The sequence 5, 10, 20, 40, ... is geometric. Calculate the 8th term.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet