Patterns: Growing, Shrinking, and Repeating

Identify the type of pattern: 2, 4, 8, 16, 32, ...

• Growing pattern

• Shrinking pattern

• Repeating pattern

Answer explanation

The sequence 2, 4, 8, 16, 32 shows a consistent doubling of each number, indicating it is a growing pattern. Each term increases, confirming that the correct choice is a growing pattern.

Identify the type of pattern: 100, 90, 80, 70, 60, ...

• Growing pattern

• Shrinking pattern

• Repeating pattern

Answer explanation

The sequence decreases by 10 each time: 100, 90, 80, 70, 60. This consistent decrease indicates a shrinking pattern, as the numbers are getting smaller.

Identify the type of pattern: Red, Blue, Red, Blue, Red, ...

• Growing pattern

• Shrinking pattern

• Repeating pattern

Answer explanation

The pattern alternates between Red and Blue consistently. This repetition of colors indicates a repeating pattern, as the sequence continues without change, rather than growing or shrinking.

What is the rule for the pattern: 5, 10, 15, 20, 25, ...?

• Add 3

• Add 5

• Multiply by 2

Answer explanation

The pattern increases by 5 each time: 5 + 5 = 10, 10 + 5 = 15, and so on. Therefore, the rule is to add 5 to each number to get the next one.

What is the rule for the pattern: 81, 27, 9, 3, 1, ...?

• Divide by 3

• Subtract 9

• Multiply by 3

Answer explanation

The pattern shows that each number is obtained by dividing the previous number by 3: 81 ÷ 3 = 27, 27 ÷ 3 = 9, 9 ÷ 3 = 3, and 3 ÷ 3 = 1. Therefore, the rule is to divide by 3.

What is the rule for the pattern: Circle, Square, Triangle, Circle, Square, ...?

• Add a new shape

• Repeat the sequence

• Remove a shape

Answer explanation

The pattern consists of repeating shapes: Circle, Square, Triangle. Since the sequence starts again with Circle after Triangle, the correct rule is to repeat the sequence, not to add or remove shapes.

Extend the pattern: 3, 6, 12, 24, ...

• 30

• 36

• 48

Answer explanation

The pattern doubles each time: 3x2=6, 6x2=12, 12x2=24. Continuing this, 24x2=48. Thus, the next number in the sequence is 48.

Extend the pattern: 50, 45, 40, 35, ...

• 30

• 25

• 20

Answer explanation

The pattern decreases by 5 each time: 50 - 5 = 45, 45 - 5 = 40, 40 - 5 = 35. Continuing this, 35 - 5 = 30. Therefore, the next number in the sequence is 30.

Extend the pattern: Green, Yellow, Green, Yellow, ...

• Green

• Yellow

• Blue

Answer explanation

The pattern alternates between Green and Yellow. Since the last color given is Yellow, the next color in the sequence must be Green.

Create a growing pattern using the numbers 2, 4, and 6.

• 2, 4, 6, 8, 10, ...

• 6, 4, 2, 0, ...

• 2, 2, 2, 2, ...

Answer explanation

The correct choice is 2, 4, 6, 8, 10, ... as it forms a growing pattern by adding 2 each time, starting from 2. The other options either decrease or repeat the same number, not creating a growing sequence.