MATHEMATICS IN OUR WORLD

You observe a sequence of numbers: 2, 4, 8, 16, __. Which pattern rule should you apply to find the next number?

• Add 2

• Multiply by 2

• Subtract 2

• Divide by 2

You notice a spiral arrangement in a sunflower, which seems to follow a Fibonacci pattern. If one section has 13 spirals, how many spirals would you expect to see in the next section?

• 8

• 55

• 34

• 21

A researcher is using the Fibonacci sequence to model a plant's growth. If the 7th term is 13, what is the 9th term?

• 34

• 21

• 55

• 22

In analyzing data from a biological sample, you observe the pattern 1, 4, 9, 16, 25. What type of pattern does this represent?

• Geometric pattern

• Arithmetic pattern

• Square number pattern

• Fibonacci pattern

A team is investigating population growth using the Fibonacci sequence. If the population after 6 months is 8, what would you expect the population to be after 8 months?

• 13

• 21

• 34

• 55

A researcher finds the pattern 2, 6, 10, 14 in a natural structure. What is the rule governing this pattern?

• Add 4

• Add 2

• Multiply by 2

• Divide by 2

A floor tile design shows a sequence of increasing square-shaped tiles: 1 tile, 4 tiles, 9 tiles, and 16 tiles. How would you predict the number of tiles for the next pattern?

• 20

• 25

• 36

• 49

While studying tree rings, a biologist notes that the number of rings grows in a Fibonacci pattern. If the 5th ring has 5 sections, how many sections would you expect the 7th ring to have?

• 8

• 13

• 21

• 34

A mathematical model based on geometric patterns suggests that each term in the sequence is double the previous one. If the first term is 5, what is the 4th term?

• 20

• 80

• 10

• 40

A student is analyzing a sequence and finds that each term is 3 more than the previous one. If the first term is 1, what is the 5th term?

• 10

• 13

• 16

• 7