Pattern Recognition: Real-world Applications
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on recognizing and applying patterns in geometric sequences within real-world shopping and money contexts.
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Pattern Recognition: Real-world Applications
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.
A shop increases the price of a product by 10% each week. If the initial price is £50, what will be the price after 4 weeks?
[3 marks]2.
Calculate the common ratio of a money-saving scheme where the amount saved each week is multiplied by 1.5 times the previous week, starting with £20.
[4 marks]3.
A person invests £100 and each month the amount increases by a fixed percentage, following a geometric sequence. After 3 months, the investment is £133.10. What is the percentage increase per month?
[3 marks]4.
In a shopping discount pattern, the price reduces by 20% each time a sale occurs, starting from £100. What is the price after 3 discounts?
[3 marks]5.
A savings account grows by 5% compound interest each month. If £200 is deposited initially, what will be the amount after 6 months?
[4 marks]6.
Explain how recognizing a pattern in weekly savings can help in planning for future expenses. (No calculation required.)
[4 marks]7.
A retailer offers a 25% discount on an item repeatedly, starting from £80. After how many discounts will the price fall below £30?
[4 marks]8.
A company’s revenue follows a geometric sequence, doubling each quarter starting from £5,000. What is the revenue after 5 quarters?
[3 marks]9.
A student notices that the cost of a subscription increases by 15% each year. If the initial cost is £40, what will it be after 3 years?
[3 marks]10.
A challenge: The price of a product decreases by 10% weekly, starting at £200. Construct the sequence for the first five weeks and determine the price in week 5.
[4 marks]11.
Error analysis: A student calculates the common ratio of a geometric sequence as 0.5 when the sequence is 80, 40, 20, 10. Identify and correct the mistake.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet