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Fibonacci Numbers Worksheet

Explore the fascinating world of Fibonacci numbers and their patterns with this Grade 5 math worksheet.

Grade 5 Math Sequences and SeriesFibonacci Numbers
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TextFill in the BlanksMultiple ChoiceShort AnswerTrue / FalseCustomWord Bank

Standards

CCSS.MATH.CONTENT.5.OA.B.3

Topics

Fibonaccisequencespatternsmathgrade 5
9 sections · Free to use · Printable
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Fibonacci Numbers Exploration

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Date:

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Read each question carefully and answer to the best of your ability. Show your work where necessary.

The Fibonacci sequence starts with 0 and 1, and each new number is the sum of the two numbers before it. It looks like this: 0, 1, 1, 2, 3, 5, 8, 13, ...

1. Write the next three numbers in the Fibonacci sequence:

0, 1, 1, 2, 3, 5, 8, 13,  ,  ,  

2. What is the 7th number in the Fibonacci sequence (starting with 0 as the 1st number)?

a

5

b

8

c

13

d

21

3. Explain how you find the next number in the Fibonacci sequence.

4. The Fibonacci sequence only uses even numbers.

T

True

F

False

5. A Fibonacci spiral can be drawn by making squares with sides that are Fibonacci numbers (1, 1, 2, 3, 5, etc.) and then drawing quarter circles inside. Below is an example of the beginning of a Fibonacci spiral.

Can you imagine how this spiral would continue?

Use the words below to complete the sentences.

sum
pattern
nature
sequence

The Fibonacci   is a special kind of   where each number is the   of the two preceding ones. This pattern can be found all over in  .