How do you find the missing number in the middle of a pattern?

Find the step rule from the known adjacent numbers, then apply that rule forward from the previous number or backward from the following number.

What is the difference between an arithmetic and geometric sequence?

An arithmetic sequence adds or subtracts a fixed constant each time (e.g., 2, 5, 8, 11). A geometric sequence multiplies or divides by a fixed constant each time (e.g., 2, 6, 18, 54).

How can I print infinite new number pattern worksheets?

Click "Unlimited & Shuffle" to generate fresh randomized pattern sheets with customizable difficulty and student names.

🎓 Grades 2-5📄 Free PDF + Keys♾️ Dynamic Generator

Number PatternsFREEWorksheet Generator(Grades 2-5)

Number Patterns worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 2–5.

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Set A • 10 Qs

PanMaths.comNumber Patterns Worksheets • Set A (Medium)

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 10

39,48,57,66,___,___= ______

Workspace:

8,12,16,20,___,___= ______

Workspace:

39,37,35,33,___,___= ______

Workspace:

64,58,52,46,___,___= ______

Workspace:

25,33,41,49,___,___= ______

Workspace:

8,11,14,17,___,___= ______

Workspace:

23,25,27,29,___,___= ______

Workspace:

27,30,33,36,___,___= ______

Workspace:

8,16,24,32,___,___= ______

Workspace:

10.

8,14,20,26,___,___= ______

Workspace:

PanMaths.com • Free Math Worksheet Generator • Set A (Medium)Page 1 of 2

PanMaths.comAnswer Key & Worked Solutions • Set A (Medium)

Answer Key

Total Problems: 10

39,48,57,66,___,___= 75, 84

1. Identify Pattern Rule: Consecutive terms follow "Add +9".

2. Full Completed Sequence: 39, 48, 57, 66, 75, 84

3. Missing Numbers: 75, 84 ✅

8,12,16,20,___,___= 24, 28

1. Identify Pattern Rule: Consecutive terms follow "Add +4".

2. Full Completed Sequence: 8, 12, 16, 20, 24, 28

3. Missing Numbers: 24, 28 ✅

39,37,35,33,___,___= 31, 29

1. Identify Pattern Rule: Consecutive terms follow "Subtract −2".

2. Full Completed Sequence: 39, 37, 35, 33, 31, 29

3. Missing Numbers: 31, 29 ✅

64,58,52,46,___,___= 40, 34

1. Identify Pattern Rule: Consecutive terms follow "Subtract −6".

2. Full Completed Sequence: 64, 58, 52, 46, 40, 34

3. Missing Numbers: 40, 34 ✅

25,33,41,49,___,___= 57, 65

1. Identify Pattern Rule: Consecutive terms follow "Add +8".

2. Full Completed Sequence: 25, 33, 41, 49, 57, 65

3. Missing Numbers: 57, 65 ✅

8,11,14,17,___,___= 20, 23

1. Identify Pattern Rule: Consecutive terms follow "Add +3".

2. Full Completed Sequence: 8, 11, 14, 17, 20, 23

3. Missing Numbers: 20, 23 ✅

23,25,27,29,___,___= 31, 33

1. Identify Pattern Rule: Consecutive terms follow "Add +2".

2. Full Completed Sequence: 23, 25, 27, 29, 31, 33

3. Missing Numbers: 31, 33 ✅

27,30,33,36,___,___= 39, 42

1. Identify Pattern Rule: Consecutive terms follow "Add +3".

2. Full Completed Sequence: 27, 30, 33, 36, 39, 42

3. Missing Numbers: 39, 42 ✅

8,16,24,32,___,___= 40, 48

1. Identify Pattern Rule: Consecutive terms follow "Add +8".

2. Full Completed Sequence: 8, 16, 24, 32, 40, 48

3. Missing Numbers: 40, 48 ✅

10.

8,14,20,26,___,___= 32, 38

1. Identify Pattern Rule: Consecutive terms follow "Add +6".

2. Full Completed Sequence: 8, 14, 20, 26, 32, 38

3. Missing Numbers: 32, 38 ✅

PanMaths.com • Answer Key & Worked SolutionsPage 2 of 2

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Worksheet Info

Categoryarithmetic

Grade LevelGrades Grades 2–5

Difficultymedium

Time10-15 min

Skills Practiced

✓ Number Patterns fluency
✓ Mental math speed
✓ Step-by-step problem solving

Related Worksheets

📄 2-Digit by 2-Digit MultiplicationView →📄 3-Digit by 1-Digit Long DivisionView →📄 3-Digit by 2-Digit MultiplicationView →📄 Adding Decimals (Tenths, Hundredths & Column Regrouping)View →📄 Dividing Decimals (Whole Numbers & Decimal Divisors)View →📄 Multiplying Decimals (Counting Decimal Places & Factors)View →

Why Pattern Recognition is the Bridge to Algebraic Functions

Identifying and extending numerical sequences (CCSS.4.OA.C.5) teaches elementary students to recognize functional relationships before formal variable notation ($f(n) = an + b$) is introduced.

Students learn to determine constant rates of change, distinguish linear arithmetic growth from exponential geometric growth, and predict distant terms in sequences.

Types of Number Patterns Covered

Arithmetic Addition Patterns: Constant positive steps (e.g., $+4, +7, +10$).
Arithmetic Subtraction Patterns: Constant negative steps (e.g., $-3, -5, -8$).
Geometric Multiplicative Patterns: Constant scale factors (e.g., $\times 2, \times 3$).
Middle & Terminal Blanks: Differentiated missing number placements to prevent rote guessing.

💡 1. Find the Difference Between Consecutive Terms

Subtract the first number from the second: in 4, 7, 10..., 7 − 4 = 3. The pattern is Add 3!

💡 2. Check If the Rule Stays Consistent

Verify the rule across multiple terms: 10 − 7 = 3. Since the difference is constant, add 3 to find the next term: 10 + 3 = 13.

💡 3. Spotting Multiplicative Patterns

If numbers grow very fast (e.g. 3, 6, 12, 24...), check for multiplication: each term is doubled (× 2)!

Worksheet Facts by Grade Level

Grade Level	CCSS Standard	Pattern Complexity
Grade 2–3	Identify arithmetic patterns in addition/multiplication tables (CCSS.3.OA.D.9)	Skip counting & single-digit steps (+2, +5, +10)
Grade 4	Generate number patterns that follow a given rule (CCSS.4.OA.C.5)	Multi-digit steps (+7, -4) and terminal blanks
Grade 5	Generate two numerical patterns using two given rules (CCSS.5.OA.B.3)	Geometric sequences (×2, ×3) and alternating rules

Why Pattern Recognition is the Bridge to Algebraic Functions

Identifying and extending numerical sequences (CCSS.4.OA.C.5) teaches elementary students to recognize functional relationships before formal variable notation ($f(n) = an + b$) is introduced.

Students learn to determine constant rates of change, distinguish linear arithmetic growth from exponential geometric growth, and predict distant terms in sequences.

Types of Number Patterns Covered

Arithmetic Addition Patterns: Constant positive steps (e.g., $+4, +7, +10$).
Arithmetic Subtraction Patterns: Constant negative steps (e.g., $-3, -5, -8$).
Geometric Multiplicative Patterns: Constant scale factors (e.g., $\times 2, \times 3$).
Middle & Terminal Blanks: Differentiated missing number placements to prevent rote guessing.

Benefits of Mastery

🔍 Algebraic Intuition

Prepares students for function tables, linear equations, and arithmetic progressions.

⚡ Mental Math Speed

Builds rapid mental addition, subtraction, and multiplication automaticity.

🧠 Deductive Problem Solving

Encourages students to test hypotheses and verify consistency across numbers.

🖨️ Clean Printable Answer Keys

Includes stated pattern rules and full sequence unravelling on every solution sheet.