Pattern Recognition: Challenge & Extension

Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet exploring pattern recognition through geometric sequences, designed for Grade 7 students to develop both procedural skills and reasoning abilities.

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Full preview • 11 questions

Pattern Recognition: Challenge & Extension

Subject: MathematicsGrade: Grade 7
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Date:
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Untitled Worksheet

Grade Grade 7
A

Practice Questions

Answer all questions. Use the grid spaces for calculations and diagrams as needed.
1.
Determine the next three terms in the sequence: 3, 6, 12, 24, ...
[2 marks]
2.
Find the common ratio of the geometric sequence: 5, 15, 45, 135, ...
[2 marks]
3.
Calculate the 6th term of the sequence where the first term is 2 and the common ratio is 4.
[3 marks]
4.
Plot the graph of y = 2x for x values from 0 to 10 on the grid.
[3 marks]
5.
Construct a triangle on the grid with sides that form a geometric pattern: 3 units, 6 units, and 12 units, where each side length doubles the previous.
[3 marks]
6.
Identify the mistake in this sequence: 2, 4, 8, 16, 31, ... and correct it.
[3 marks]
7.
What is the 10th term of the geometric sequence with first term 1/2 and common ratio 3?
[2 marks]
8.
A bacteria population starts with 100 bacteria and triples every hour. Write an expression for the population after n hours.
[3 marks]
9.
Find the sum of the first 5 terms of the geometric sequence: 2, 6, 18, 54, ...
[3 marks]
10.
Challenge: If the sequence is 81, 27, 9, 3, ..., what is the 10th term? Show your working.
[4 marks]
11.
Identify a real-world scenario where geometric sequences are applicable, and explain briefly how the pattern applies.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet