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Grade 5 Math · Numerical Patterns and Graphing

Grade 5 Numerical Patterns and Graphing Practice Test

Build Grade 5 Math skills with five 10-question practice tests on numerical patterns, rules, input-output tables, comparing patterns, and graphing ordered pairs.

Numerical Patterns and Graphing Practice Tests

These Grade 5 Math practice tests help students identify rules in numerical patterns, generate terms, complete input-output tables, compare two patterns, and graph relationships with ordered pairs.

Skills covered

  • Finding the rule in an increasing or decreasing pattern
  • Generating missing and later terms
  • Using input-output tables and simple equations
  • Comparing corresponding terms in two patterns
  • Writing ordered pairs as (x, y)
  • Graphing and interpreting pattern relationships

How to use these practice tests

Compare consecutive terms first. Decide whether the pattern adds, subtracts, multiplies, or follows an input-output rule. For graphs, use the input as x and the output as y, then write each point in the order (x, y).

For more Grade 5 Math practice, return to the Grade 5 Math category.

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Grade 5 Numerical Patterns and Graphing Practice Tests

A 10-question Grade 5 Math practice test on numerical patterns, pattern rules, input-output tables, comparing patterns, and graphing ordered pairs.

Compare consecutive terms, identify the rule, use input-output relationships, and write graph points as (x, y).

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

An input-output table has inputs 1, 2, 3, 4 and outputs 4, 8, 12, 16. What is the rule?

Please select an answer first.

Correct answer: A

The correct answer is Multiply the input by 4.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Each output is 4 times its input: 1 × 4 = 4, 2 × 4 = 8, and so on.
  3. Check the choice: The correct choice is Multiply the input by 4.

Each output is 4 times its input: 1 × 4 = 4, 2 × 4 = 8, and so on.

2. QuestionMultiple choice

An input-output table has inputs 2, 3, 4 and outputs 7, 8, 9. What is the rule?

Please select an answer first.

Correct answer: B

The correct answer is Add 5 to the input.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Each output is 5 more than its input: 2 + 5 = 7.
  3. Check the choice: The correct choice is Add 5 to the input.

Each output is 5 more than its input: 2 + 5 = 7.

3. QuestionMultiple choice

If the rule is y=2x+1y = 2x + 1, what is the output when x=6x = 6?

Please select an answer first.

Correct answer: C

The correct answer is 13.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Substitute 6 for x: 2 × 6 + 1 = 13.
  3. Check the choice: The correct choice is 13.

Substitute 6 for x: 2 × 6 + 1 = 13.

4. QuestionMultiple choice

Inputs 1, 2, 3 produce outputs 3, 6, 9. Which rule matches the table?

Please select an answer first.

Correct answer: D

The correct answer is Multiply the input by 3.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: The output is 3 times each input: 1 × 3 = 3, 2 × 3 = 6, and 3 × 3 = 9.
  3. Check the choice: The correct choice is Multiply the input by 3.

The output is 3 times each input: 1 × 3 = 3, 2 × 3 = 6, and 3 × 3 = 9.

5. QuestionMultiple choice

If the rule is “add 7,” what is the output for an input of 5?

Please select an answer first.

Correct answer: A

The correct answer is 12.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Add 7 to 5: 5 + 7 = 12.
  3. Check the choice: The correct choice is 12.

Add 7 to 5: 5 + 7 = 12.

6. QuestionMultiple choice

If the rule is y=4xy = 4x, what is the output when x=7x = 7?

Please select an answer first.

Correct answer: B

The correct answer is 28.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Multiply 7 by 4: 7 × 4 = 28.
  3. Check the choice: The correct choice is 28.

Multiply 7 by 4: 7 × 4 = 28.

7. QuestionMultiple choice

The pairs (3,10),(4,13),(5,16)(3, 10), (4, 13), (5, 16) follow which rule?

Please select an answer first.

Correct answer: C

The correct answer is Multiply by 3, then add 1.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: For x = 3, 3 × 3 + 1 = 10; the same rule gives 13 and 16.
  3. Check the choice: The correct choice is Multiply by 3, then add 1.

For x = 3, 3 × 3 + 1 = 10; the same rule gives 13 and 16.

8. QuestionMultiple choice

Inputs 1, 2, 3 produce outputs 5, 10, 15. What is the rule?

Please select an answer first.

Correct answer: D

The correct answer is Multiply the input by 5.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Each output equals 5 times its input.
  3. Check the choice: The correct choice is Multiply the input by 5.

Each output equals 5 times its input.

9. QuestionMultiple choice

If the rule is y=5x+1y = 5x + 1, what is the output when x=4x = 4?

Please select an answer first.

Correct answer: A

The correct answer is 21.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Substitute 4: 5 × 4 + 1 = 21.
  3. Check the choice: The correct choice is 21.

Substitute 4: 5 × 4 + 1 = 21.

10. QuestionMultiple choice

If the rule is y=2x+3y = 2x + 3, what is the output when x=6x = 6?

Please select an answer first.

Correct answer: B

The correct answer is 15.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Substitute 6: 2 × 6 + 3 = 15.
  3. Check the choice: The correct choice is 15.

Substitute 6: 2 × 6 + 3 = 15.

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Frequently asked questions about Grade 5 Numerical Patterns and Graphing

How do you find the rule in a numerical pattern?

Compare consecutive terms to see whether the pattern adds, subtracts, multiplies, or follows another consistent relationship.

How are input-output pairs written on a graph?

Write the input as x and the output as y, then record the point as (x, y).

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 5 Numerical Patterns and Graphing questions in total.