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.

4. Test

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

A pattern has points (1,2),(2,4),(3,6)(1, 2), (2, 4), (3, 6). What is the next point?

Please select an answer first.

Correct answer: A

The correct answer is (4,8)(4, 8).

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: The output is twice the input, so when x = 4, y = 8.
  3. Check the choice: The correct choice is (4,8)(4, 8).

The output is twice the input, so when x = 4, y = 8.

2. QuestionMultiple choice

What is the x-coordinate of the point (3,12)(3, 12)?

Please select an answer first.

Correct answer: B

The correct answer is 3.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: In an ordered pair (x, y), the first number is the x-coordinate.
  3. Check the choice: The correct choice is 3.

In an ordered pair (x, y), the first number is the x-coordinate.

3. QuestionMultiple choice

The points (1,5),(2,10),(3,15)(1, 5), (2, 10), (3, 15) follow which rule?

Please select an answer first.

Correct answer: C

The correct answer is y=5xy = 5x.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Each y-value is 5 times its x-value: 5, 10, and 15.
  3. Check the choice: The correct choice is y=5xy = 5x.

Each y-value is 5 times its x-value: 5, 10, and 15.

4. QuestionMultiple choice

What relationship is represented by the point (4,16)(4, 16) in a pattern where outputs are four times inputs?

Please select an answer first.

Correct answer: D

The correct answer is y=4xy = 4x.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: The output 16 equals 4 × 4, so the rule is y = 4x.
  3. Check the choice: The correct choice is y=4xy = 4x.

The output 16 equals 4 × 4, so the rule is y = 4x.

5. QuestionMultiple choice

A graph follows the rule y=x+2y = x + 2. What is y when x = 5?

Please select an answer first.

Correct answer: A

The correct answer is 7.

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

Substitute 5 into the rule: 5 + 2 = 7.

6. QuestionMultiple choice

The point (2,9)(2, 9) lies on a pattern with rule y=3x+3y = 3x + 3. Which statement is true?

Please select an answer first.

Correct answer: B

The correct answer is The point follows the rule because 3×2+3=93 \times 2 + 3 = 9..

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: For x = 2, 3 × 2 + 3 = 9, so (2, 9) fits the rule.
  3. Check the choice: The correct choice is The point follows the rule because 3×2+3=93 \times 2 + 3 = 9..

For x = 2, 3 × 2 + 3 = 9, so (2, 9) fits the rule.

7. QuestionMultiple choice

A graph follows the rule y=2x+1y = 2x + 1. What point has x = 6?

Please select an answer first.

Correct answer: C

The correct answer is (6,13)(6, 13).

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

When x = 6, y = 2 × 6 + 1 = 13.

8. QuestionMultiple choice

The graph has points (1,4),(2,7),(3,10)(1, 4), (2, 7), (3, 10). How does y change when x increases by 1?

Please select an answer first.

Correct answer: D

The correct answer is y increases by 3..

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: The y-values 4, 7, and 10 increase by 3 each time.
  3. Check the choice: The correct choice is y increases by 3..

The y-values 4, 7, and 10 increase by 3 each time.

9. QuestionMultiple choice

The points (0,5),(1,8),(2,11)(0, 5), (1, 8), (2, 11) have what starting y-value when x = 0?

Please select an answer first.

Correct answer: A

The correct answer is 5.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: The point with x = 0 is (0, 5), so the starting y-value is 5.
  3. Check the choice: The correct choice is 5.

The point with x = 0 is (0, 5), so the starting y-value is 5.

10. QuestionMultiple choice

In a pattern graph, x represents the input and y represents the output. Which coordinate names the output for input 4 when the output is 20?

Please select an answer first.

Correct answer: B

The correct answer is (4,20)(4, 20).

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Write the input first and the output second: (4, 20).
  3. Check the choice: The correct choice is (4,20)(4, 20).

Write the input first and the output second: (4, 20).

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.