Identify Create and Extend Patterns

Create a shrinking pattern using the numbers 10, 5, and 1.

• 10, 5, 1, -3, -7, ...

• 1, 5, 10, 15, ...

• 10, 10, 10, 10, ...

Answer explanation

The correct pattern is 10, 5, 1, -3, -7, ... which shows a consistent decrease by 4. The other options either increase or repeat the same number, failing to create a shrinking pattern.

Identify the type of pattern: 1, 4, 9, 16, 25, ...

• Growing pattern

• Shrinking pattern

• Repeating pattern

Answer explanation

The sequence 1, 4, 9, 16, 25 consists of perfect squares (1^2, 2^2, 3^2, 4^2, 5^2). As the numbers increase, the values grow larger, indicating a growing pattern.

Describe the rule for the pattern: 7, 14, 21, 28, ...

• Add 6

• Add 7

• Multiply by 2

Answer explanation

The pattern increases by 7 each time: 7 + 7 = 14, 14 + 7 = 21, 21 + 7 = 28. Therefore, the rule is to add 7.

What is the rule for the pattern: 2, 5, 10, 17, 26, ...?

• Add consecutive odd numbers

• Add 3

• Multiply by 2

Answer explanation

The pattern starts at 2 and each subsequent number is obtained by adding consecutive odd numbers: 2+3=5, 5+5=10, 10+7=17, 17+9=26. Thus, the rule is to add consecutive odd numbers.

Identify the type of pattern: Square, Circle, Square, Circle, ...

• Growing pattern

• Shrinking pattern

• Repeating pattern

Answer explanation

The pattern alternates between a Square and a Circle, repeating indefinitely. This consistent repetition of the same sequence classifies it as a Repeating pattern, rather than a Growing or Shrinking pattern.

Extend the pattern: 1, 4, 9, 16, ...

• 20

• 25

• 30

Answer explanation

The pattern consists of perfect squares: 1^2=1, 2^2=4, 3^2=9, 4^2=16. The next number is 5^2=25, making 25 the correct choice.

Extend the pattern: 5, 10, 20, 40, ...

• 50

• 60

• 80

Answer explanation

The pattern doubles each time: 5, 10 (5x2), 20 (10x2), 40 (20x2). Continuing this, 40x2 equals 80, making it the next number in the sequence.

Identify the type of pattern: 10, 20, 30, 40, 50, ...

• Growing pattern

• Shrinking pattern

• Repeating pattern

Answer explanation

The sequence 10, 20, 30, 40, 50 shows a consistent increase of 10. This indicates a growing pattern, as the numbers are increasing rather than decreasing or repeating.

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

• Add a new shape

• Repeat the sequence

• Remove a shape

Answer explanation

The pattern alternates between a Triangle and a Square. To continue the sequence, you simply repeat the existing shapes: Triangle, Square, Triangle, Square, and so on. Therefore, the correct choice is to repeat the sequence.

What is the rule for the pattern: 3, 6, 9, 12, ...?

• Add 2

• Add 3

• Multiply by 2

Answer explanation

The pattern increases by 3 each time: 3 + 3 = 6, 6 + 3 = 9, 9 + 3 = 12. Therefore, the rule is to add 3.