MMW MidTerm

Which of the following best describes the role of patterns in mathematics as seen in nature?

• Patterns are random and do not follow a predictable structure.

• Patterns help identify relationships between objects and events in nature.

• Patterns are only relevant in physical sciences and have no use in mathematics.

• Patterns in nature cannot be modelled mathematically.

How does the Fibonacci sequence demonstrate the connection between mathematics and nature?

• It is based on random numbers found in nature

• It describes a relationship that only exists in geometric shapes

• The sequence appears in various biological phenomena

• The sequence is purely a mathematical construct

In the Fibonacci sequence, how is each term calculated?

• Each term is the sum of the two previous terms

• Each term is the product of the previous two terms

• Each term is a square of the previous term

• Each term is the average of the two previous terms

Why is the Golden Ratio significant in the Fibonacci sequence?

• It appears in geometric patterns and has no relevance to the Fibonacci sequence

• It describes the growth pattern of plants but not the Fibonacci sequence

• It helps to find the Fibonacci numbers directly through a formula

• It is irrelevant to both the Fibonacci sequence and patterns in nature

Given the geometric pattern 8, 16, 32, ___, 128, 256, which of the following is the missing number in the sequence?

• 48

• 64

• 128

• 512

How can the arithmetic pattern 2, 4, 6, 8, 10, ___, ___, be extended using the addition rule?

• Multiply 2 by the previous term to get the next term

• Add 1 to each term to get the next term

• Multiply each term by 3 to get the next term

• Add 2 to each term to get the next term

Observe the pattern given. Find the missing number.

• 35

• 40

• 45

• 50

Observe the patter given. How many cubes will be in figure 6?

• 9

• 11

• 13

• 15

Observe the pattern given. What is the missing figure?

• 
• 
• 
• 

How many four sided shapes does the diagram below have?

• 12 - 15

• 16 - 21

• 22 - 30

• 30 - 35