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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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5. 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 theater adds 3 chairs to each new row. If the first row has 5 chairs, how many chairs are in the fourth row?

Please select an answer first.

Correct answer: A

The correct answer is 14 chairs.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: The rows are 5, 8, 11, 14 because 3 chairs are added each time.
  3. Check the choice: The correct choice is 14 chairs.

The rows are 5, 8, 11, 14 because 3 chairs are added each time.

2. QuestionMultiple choice

A student saves 5 dollars each week. How much is saved after 6 weeks?

Please select an answer first.

Correct answer: B

The correct answer is 30 dollars.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Multiply 6 weeks by 5 dollars per week: 6 × 5 = 30 dollars.
  3. Check the choice: The correct choice is 30 dollars.

Multiply 6 weeks by 5 dollars per week: 6 × 5 = 30 dollars.

3. QuestionMultiple choice

A plant is 4 inches tall and grows 2 inches each week. How tall is it after 4 weeks?

Please select an answer first.

Correct answer: C

The correct answer is 12 inches.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Add 2 inches four times: 4 + 2 + 2 + 2 + 2 = 12 inches.
  3. Check the choice: The correct choice is 12 inches.

Add 2 inches four times: 4 + 2 + 2 + 2 + 2 = 12 inches.

4. QuestionMultiple choice

A tile design uses 4 tiles in the first row, 8 in the second, and 12 in the third. What rule describes the pattern?

Please select an answer first.

Correct answer: D

The correct answer is Add 4 tiles for each new row.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: The number of tiles increases by 4: 4, 8, 12.
  3. Check the choice: The correct choice is Add 4 tiles for each new row.

The number of tiles increases by 4: 4, 8, 12.

5. QuestionMultiple choice

Plan A earns 2 points per game. Plan B earns 5 points per game. After 4 games, which plan has more points and how many more?

Please select an answer first.

Correct answer: A

The correct answer is Plan B has 12 more points..

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Plan A has 8 points and Plan B has 20 points, so B has 20 − 8 = 12 more.
  3. Check the choice: The correct choice is Plan B has 12 more points..

Plan A has 8 points and Plan B has 20 points, so B has 20 − 8 = 12 more.

6. QuestionMultiple choice

A code starts at 3 and doubles each step. What is the fifth term?

Please select an answer first.

Correct answer: B

The correct answer is 48.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: The terms are 3, 6, 12, 24, 48.
  3. Check the choice: The correct choice is 48.

The terms are 3, 6, 12, 24, 48.

7. QuestionMultiple choice

A runner records 10, 20, 30, and 40 steps in the first four intervals. How many steps are recorded in the eighth interval?

Please select an answer first.

Correct answer: C

The correct answer is 80 steps.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: The pattern adds 10 each interval, so the eighth term is 8 × 10 = 80.
  3. Check the choice: The correct choice is 80 steps.

The pattern adds 10 each interval, so the eighth term is 8 × 10 = 80.

8. QuestionMultiple choice

Pattern A is 7,9,11,137, 9, 11, 13. Pattern B is 4,8,12,164, 8, 12, 16. What are the fifth terms?

Please select an answer first.

Correct answer: D

The correct answer is A = 15 and B = 20.

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Pattern A adds 2 to reach 15; Pattern B adds 4 to reach 20.
  3. Check the choice: The correct choice is A = 15 and B = 20.

Pattern A adds 2 to reach 15; Pattern B adds 4 to reach 20.

9. QuestionMultiple choice

A graph shows points (1,3),(2,6),(3,9)(1, 3), (2, 6), (3, 9). What output belongs with input 5?

Please select an answer first.

Correct answer: A

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: The rule is y = 3x, so 3 × 5 = 15.
  3. Check the choice: The correct choice is 15.

The rule is y = 3x, so 3 × 5 = 15.

10. QuestionMultiple choice

A table follows the rule y=x+6y = x + 6. Which pair belongs in the table when x = 7?

Please select an answer first.

Correct answer: B

The correct answer is (7,13)(7, 13).

  1. Read the pattern: Compare consecutive terms or input-output pairs to find what changes each time.
  2. Apply the rule: Add 6 to the input: 7 + 6 = 13, so the pair is (7, 13).
  3. Check the choice: The correct choice is (7,13)(7, 13).

Add 6 to the input: 7 + 6 = 13, so the pair is (7, 13).

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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.