Exploring Patterns in Multiplication Practice Quiz

Generate two numerical patterns using the rules: Rule 1: Start at 2, add 3 each time. Rule 2: Start at 5, add 4 each time. What is the 4th term in each pattern?

• 11 and 17

• 11 and 21

• 14 and 17

• 14 and 21

Answer explanation

For Rule 1: 2, 5, 8, 11 (4th term is 14). For Rule 2: 5, 9, 13, 17, 21 (4th term is 21). Thus, the 4th terms are 14 and 21.

Tags

CCSS.4.OA.C.5

Identify the relationship between the corresponding terms of the patterns: Pattern 1: 2, 5, 8, 11, ... Pattern 2: 5, 9, 13, 17, ...

• The terms in Pattern 2 are 3 more than the terms in Pattern 1.

• The terms in Pattern 2 are 4 more than the terms in Pattern 1.

• The terms in Pattern 2 are 5 more than the terms in Pattern 1.

• The terms in Pattern 2 are 6 more than the terms in Pattern 1.

Answer explanation

To find the relationship, subtract the first term of Pattern 1 (2) from the first term of Pattern 2 (5). This gives 5 - 2 = 3. Repeating for the next terms: 9 - 5 = 4, 13 - 8 = 5, and 17 - 11 = 6. The consistent difference is 4.

Tags

CCSS.5.OA.B.3

Form ordered pairs from the corresponding terms of the patterns: Pattern 1: 2, 5, 8, 11, ... Pattern 2: 5, 9, 13, 17, ... What is the ordered pair for the 3rd term?

• (8, 13)

• (5, 9)

• (11, 17)

• (2, 5)

Answer explanation

To find the 3rd term, we look at Pattern 1: 2, 5, 8, 11 (3rd term is 8) and Pattern 2: 5, 9, 13, 17 (3rd term is 13). Thus, the ordered pair for the 3rd term is (8, 13).

Tags

CCSS.5.OA.B.3

Complete the table for the pattern: Start at 3, add 2 each time. What is the 5th term?

• 9

• 10

• 11

• 12

Answer explanation

Starting at 3 and adding 2 each time gives the sequence: 3, 5, 7, 9, 11. The 5th term is 11, making it the correct answer.

Tags

CCSS.4.OA.C.5

Determine the rule for the pattern: 4, 8, 12, 16, ...

• Start at 4, add 3 each time.

• Start at 4, add 4 each time.

• Start at 4, add 5 each time.

• Start at 4, add 6 each time.

Answer explanation

The pattern starts at 4 and increases by 4 each time: 4 + 4 = 8, 8 + 4 = 12, 12 + 4 = 16. Therefore, the correct rule is to start at 4 and add 4 each time.

Tags

CCSS.3.OA.D.9

Compare the patterns: Pattern 1: 1, 3, 5, 7, ... Pattern 2: 2, 4, 6, 8, ... What is the difference between the corresponding terms?

• 0

• 1

• 2

• 3

Answer explanation

To find the difference between corresponding terms in the patterns, subtract the terms: (1-2), (3-4), (5-6), (7-8), which gives -1 for each pair. The absolute difference is 1, making the correct answer 1.

Tags

CCSS.5.OA.B.3

Graph the ordered pairs from the patterns: Pattern 1: 1, 3, 5, 7, ... Pattern 2: 2, 4, 6, 8, ... Which point is correctly plotted on the coordinate plane?

• (1, 2)

• (3, 5)

• (5, 7)

• (7, 8)

Answer explanation

Pattern 1 consists of odd numbers (1, 3, 5, 7, ...), and Pattern 2 consists of even numbers (2, 4, 6, 8, ...). The point (1, 2) corresponds to the first elements of each pattern, making it the correct choice.

Tags

CCSS.5.OA.B.3

• 4

• 5

• 9

• 13

Answer explanation

The point (4, 9) indicates that the x-value is 4 and the y-value is 9. Therefore, the y-value for this point is 9, making it the correct answer.

Tags

CCSS.5.G.A.2

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

• Start at 10, add 4 each time.

• Start at 10, add 5 each time.

• Start at 10, add 6 each time.

• Start at 10, add 7 each time.

Answer explanation

The pattern starts at 10 and increases by 5 each time: 10 + 5 = 15, 15 + 5 = 20, 20 + 5 = 25. Therefore, the correct rule is to start at 10 and add 5 each time.

Tags

CCSS.3.OA.D.9

Complete the table for the pattern: Start at 6, subtract 1 each time. What is the 3rd term?

• 4

• 5

• 6

• 7

Answer explanation

Starting at 6 and subtracting 1 each time gives the sequence: 6 (1st term), 5 (2nd term), 4 (3rd term). Therefore, the 3rd term is 5.

Tags

CCSS.4.OA.C.5