4th Grade Number and Shape Patterns Test with Answer Key (Free PDF)

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This 4th grade patterns test covers number and shape patterns (Common Core 4.OA.C.5), with a free PDF to print.

Key takeaway: This test helps fourth grade students show that they can generate patterns from rules, find rules, and describe features of patterns.

Topic: Number and Shape Patterns (4th grade)
Content: 9 questions with point values, about 45 minutes
Standards: 4.OA.C.5
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This test helps fourth grade students show that they can generate patterns from rules, find rules, and describe features of patterns. Also, it is worth 20 points and takes 45 minutes.

The nine questions begin with a pattern that adds and one that doubles, then ask for a rule and missing terms. Then, later questions complete an input and output table, find a table rule and a new output, use toothpick squares, and ask about odd and even terms. Also, one question is a three part flower garden problem, and the last checks a classmate’s claim.

This test checks number and shape patterns: making terms from a rule, finding rules, completing input-output tables, and explaining features of a pattern. It has 9 questions worth 20 points. Allow 45 minutes.

Time and points

About this test

Grade: Grade 4
Chapter: Number and Shape Patterns
Standards: 4.OA.C.5
Time: 45 minutes
Total: 20 points

4th grade patterns test: questions

1 – Add 7 pattern [2 pts]

First, start at 8. The rule is add 7. Write the first six numbers.

2 – Doubling pattern [2 pts]

Next, start at 3. The rule is multiply by 2. Write the first five numbers.

3 – Missing terms [2 pts]

Then, write the rule. Then find the two missing numbers.

A number pattern.

4 – Input-output table [2 pts]

Now, the rule is subtract 4. Complete the table.

Outputs are missing.

5 – Find the table rule [2 pts]

Also, find the rule that changes each input into its output. Then find the output for input 11.

Input	3	5	7	9
Output	12	20	28	36

6 – Toothpick squares [3 pts]

Squares are made in a row from toothpicks.

Toothpick squares.

Write the rule for the number of toothpicks. (1 point)
How many toothpicks are needed for 6 squares? (1 point)
Can 25 toothpicks make a row of squares with none left over? Explain. (1 point)

7 – Odd or even feature [2 pts]

Next, start at 5 and add 4 each time. Write the first six numbers. Describe one feature of the pattern that the rule does not state.

Question 8 and after

8 – Flower garden rows [3 pts]

Aisha plants 3 flowers in row 1. Each new row has 4 more flowers than the row before.

Write the number of flowers in rows 1 to 5. (1 point)
How many flowers are in row 8? (1 point)
Can any row have exactly 50 flowers? Explain. (1 point)

9 – Diego's claim [2 pts]

Diego says, “If you start at 2 and add 3 each time, every number is even.” Is he correct? Show the first six numbers and explain.

Key facts behind this 4th grade patterns test

Key facts

A pattern rule gives a starting number and an operation to repeat.
Next, each number in a pattern is called a term.
Adding an odd number makes terms alternate odd and even; adding an even number keeps them all odd or all even.
Then, in an input-output table, the same rule turns every input into its output.
Shape patterns grow by adding the same number of pieces at each step.

Common mistakes with this 4th grade patterns test

Students agree that every term is even because the start is even. Also, if the rule adds an odd number, the terms alternate between even and odd.
Students find a table rule from one pair only. Instead, check the rule on every pair before you find a new output.
Students count squares instead of toothpicks. Find the rule for toothpicks and apply it to the new number of squares.
Students answer only the first part of a three part question. Each part is worth a point. Slow down at that step and check it twice.

Test-taking strategy

Write the rule beside every pattern you build. Keeping the rule in view prevents slips as you add or subtract.
For a feature question, write the first six terms and look at odd and even. The pattern is usually easy to see.
Parents can review the night before by asking the child to make a pattern with a rule and then explain one feature.

Download the 4th grade patterns test as a PDF with the button below and keep it with your notes.

4th grade patterns test: frequently asked questions

How should I describe a feature of a pattern that the rule does not state?

Write the terms and look for something that repeats or stays the same, such as odd and even or the last digit. Then explain it with the rule. Starting at 3 and adding 2 keeps every term odd.

How do I find the output for a new input on a rule table?

Find the rule that works for every pair, then apply it to the new input. If inputs 1, 2, 3 give outputs 5, 10, 15, the rule is multiply by 5. For input 7, the output is 35.

What should I show for partial credit on a pattern question?

Write the rule, list the terms, and show how you got any new term. If your final number has a small slip, correct steps can still earn credit. Label each answer so it is clear what each number stands for.

All Grade 4 chapters: Grade 4 math.

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