4th Grade Number and Shape Patterns Worksheet (PDF)

4th Grade math worksheet: Number and Shape Patterns – Maths PDF

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

This worksheet has 20 problems on number and shape patterns. Problems ask for terms made from a rule, the rule behind a pattern, input-output tables, and features such as odd and even numbers (Common Core 4.OA.C.5).

Grade 4 · Common Core State Standards: 4.OA.C.5

Grade 4 patterns worksheet: exercises 1 to 10

Exercise 1 – Add 4 pattern

Start at 5. The rule is add 4. Write the first six numbers.

Exercise 2 – Subtract 6 pattern

Start at 40. The rule is subtract 6. Write the first six numbers.

Exercise 3 – Multiply by 3 pattern

Start at 2. The rule is multiply by 3. Write the first five numbers.

Exercise 4 – Find the rule

Look at the pattern.

A number pattern with two missing terms.

Write the rule. Then find the two missing numbers.

Exercise 5 – Subtract 15 pattern

Start at 100. The rule is subtract 15. Write the first five numbers.

Exercise 6 – Complete the table

The rule is add 9. Find the missing outputs.

Outputs are missing.

Exercise 7 – Multiply by 4 table

The rule is multiply by 4. Copy and complete the table.

Input	2	3	5	6	9
Output	?	?	?	?	?

Exercise 8 – Rule from a table

Find the rule for this table.

Input	2	4	6	8
Output	7	9	11	13

Exercise 9 – All odd numbers

Start at 1 and add 2 each time. Write the first six numbers and describe what you notice about odd and even.

Exercise 10 – Odd and even take turns

Start at 3 and add 5 each time. Write the first six numbers. Describe the pattern of odd and even numbers.

Exercises 11 and up

Exercise 11 – All even numbers

Start at 4 and add 6 each time. Write the first six numbers. Are the terms odd or even? Explain why the rule makes this happen.

Exercise 12 – Doubling pattern

Start at 6 and multiply by 2 each time. Write the first five numbers. What do you notice about the last digits?

Exercise 13 – Toothpick squares

Ethan makes squares in a row with toothpicks.

Squares in a row.

Write the rule for the number of toothpicks. How many toothpicks does he need for 4 squares? For 5 squares?

Exercise 14 – Which numbers appear?

A pattern starts at 1 and adds 3 each time. Which of these numbers will appear in the pattern: 25, 29, 34?

Exercise 15 – Jar of coins

Jamal puts $12 in a jar on Monday. Each day after that he adds $4. Write how much is in the jar on each day from Monday to Friday.

Exercise 16 – Packs of fish

A pet store sells fish in packs of 6. Make a table for 1, 2, 3, 4, 5 and 8 packs. How many fish are in each?

Exercise 17 – Triangle sticks

Priya builds a row of triangles with sticks.

Triangles made of sticks.

Continue the pattern. How many sticks does she need for 10 triangles?

Exercise 18 – Draining tank

A tank holds 200 gallons. It loses 25 gallons each hour. The table shows the first hours.

Hours and gallons in the tank.

How many gallons are left after 5 hours? After how many hours is the tank empty?

Exercise 19 – Mei's rule

Mei starts at 7 and adds 8 each time. Will 63 be in her pattern? Will 100? Explain without writing every term for 100.

Exercise 20 – Sofia's tenth term

A pattern starts at 4 and adds 5 each time: 4, 9, 14, 19, and so on. Sofia says the 10th number is 49. Is she right? Show how you know.

Key facts behind this grade 4 patterns worksheet

Key facts

A pattern rule gives a starting number and an operation to repeat.
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.
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.

How to use this grade 4 patterns worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

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

All Grade 4 chapters: Grade 4 math.

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