Chapter 9: Spiral Growth in Nature: Fibonacci Numbers and the Golden Ratio
Quiz



1.  

9m2q1_1.gif represents the Nth Fibonacci number.

9m2q1_2.gif =



2.  

9m2q1_1.gif represents the Nth Fibonacci number.

If 9m2q2_1.gif and 9m2q2_2.gif , then 9m2q2_3.gif



3.  

If 9m2q3_1.gif is the golden ratio and 9m2q3_2.gif is the Nth Fibonacci number, then 9m2q3_3.gif =



4.  

9m2q4_1.gif



5.  

A golden rectangle has longer side of length 100 ft. Which of the following numbers most closely represents the length of the shorter side of the rectangle?



6.  

9m2q6_1.gif

Which of the figures is a gnomon to Figure 1?



7.  

9m2q6_1.gif

Which of the figures is a gnomon to Figure 2?



8.  

9m2q6_1.gif

Which of the figures is a gnomon to Figure 3?



9.  

9m2q6_1.gif

Which of the figures is a gnomon to Figure 5?



10.  

9m2q6_1.gif

Which of the figures is a gnomon to Figure 4?



11.  

The golden ratio F is the positive solution of the equation



12.  

If A is a golden rectangle, a gnomon to A is



13.  

Which of the following statements is true?



14.  

Rectangle A is 25 by 75. Rectangle B is a gnomon to rectangle A. The dimensions of rectangle B are



15.  

If the rectangle below is a golden rectangle, then the approximate value of x is
9m2q15_1.gif

Note: answer choices in this exercise are randomized.

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