How Many Counting Worksheets - 2nd Grade Mathematics

Structured practice worksheets to master "how many" counting problems involving addition and subtraction within 20.

Worksheets 1-10 with Solutions
1 Basic How Many Problems
Worksheet 1
How many altogether: 5 + 3 = ?, How many left: 8 - 2 = ?, How many in total: 4 + 6 = ?
Difficulty: Beginner Time: ~5 minutes Skills: Basic Addition, Subtraction, Counting
Definition:

"How many" counting: Word problems that ask for quantities using phrases like "how many," "how many altogether," "how many left," etc.

Note: These problems help students connect mathematical operations to real-world questions about quantities.

Step-by-step worksheet method:
  1. Identify the question being asked ("how many")
  2. Determine the operation needed (addition or subtraction)
  3. Perform the calculation
  4. State the answer in context
Problem 1: 5+3
5→6→7→8→9→10→11→12→13 (counting on)
Problem 2: 8-2
8→7→6 (counting back)
Problem 3: 4+6
4→5→6→7→8→9→10→11→12→13→14→15→16→17→18→19→20 (counting on)
Step 1: For "How many altogether" (5 + 3)

Start at 5, count up 3: 6, 7, 8

Step 2: For "How many left" (8 - 2)

Start at 8, count back 2: 7, 6

Step 3: For "How many in total" (4 + 6)

Start at 4, count up 6: 5, 6, 7, 8, 9, 10

5 + 3 = 8, 8 - 2 = 6, 4 + 6 = 10
Final answers:

There are 8 altogether, 6 left, and 10 in total.

Applied rules:

• Keywords: "altogether" and "total" mean addition

• Keywords: "left" means subtraction

• Counting strategy: Use counting on for addition, counting back for subtraction

• Practice Tip: Always reread the question to ensure your answer makes sense

2 How Many More Problems
Worksheet 2
How many more: 12 - 7 = ?, How many more: 15 - 9 = ?, How many more: 18 - 11 = ?
Difficulty: Beginner Time: ~5 minutes Skills: Subtraction, Comparison, Counting
Definition:

"How many more" problems: Subtraction problems that ask for the difference between two quantities to find how much larger one is than the other.

Note: These problems help students understand subtraction as finding the difference between two amounts.

Step-by-step worksheet method:
  1. Identify the two quantities being compared
  2. Determine which is larger
  3. Subtract the smaller from the larger
  4. State how many more the larger quantity is
Problem 1: 12-7
Counting up from 7 to 12: 8, 9, 10, 11, 12 (5 steps)
Problem 2: 15-9
Counting up from 9 to 15: 10, 11, 12, 13, 14, 15 (6 steps)
Problem 3: 18-11
Counting up from 11 to 18: 12, 13, 14, 15, 16, 17, 18 (7 steps)
Step 1: For "How many more" (12 - 7)

Count up from 7 to 12: 8, 9, 10, 11, 12 (5 more)

Step 2: For "How many more" (15 - 9)

Count up from 9 to 15: 10, 11, 12, 13, 14, 15 (6 more)

Step 3: For "How many more" (18 - 11)

Count up from 11 to 18: 12, 13, 14, 15, 16, 17, 18 (7 more)

12 - 7 = 5, 15 - 9 = 6, 18 - 11 = 7
Final answers:

There are 5 more, 6 more, and 7 more respectively.

Applied rules:

• Keyword: "How many more" indicates subtraction

• Strategy: Count up from smaller number to larger number

• Concept: Finding the difference between two quantities

• Practice Tip: Use counting up strategy for "how many more" problems

3 How Many Less Problems
Worksheet 3
How many less: 14 - 6 = ?, How many less: 16 - 8 = ?, How many less: 13 - 5 = ?
Difficulty: Beginner Time: ~5 minutes Skills: Subtraction, Comparison, Counting
Definition:

"How many less" problems: Subtraction problems that ask for the difference between two quantities to find how much smaller one is than the other.

Note: These problems help students understand subtraction as finding the difference between two amounts, just like "how many more" but focusing on the smaller quantity.

Step-by-step worksheet method:
  1. Identify the two quantities being compared
  2. Determine which is smaller
  3. Subtract the smaller from the larger
  4. State how many less the smaller quantity is
Problem 1: 14-6
Counting up from 6 to 14: 7, 8, 9, 10, 11, 12, 13, 14 (8 steps)
Problem 2: 16-8
Counting up from 8 to 16: 9, 10, 11, 12, 13, 14, 15, 16 (8 steps)
Problem 3: 13-5
Counting up from 5 to 13: 6, 7, 8, 9, 10, 11, 12, 13 (8 steps)
Step 1: For "How many less" (14 - 6)

Count up from 6 to 14: 7, 8, 9, 10, 11, 12, 13, 14 (8 less)

Step 2: For "How many less" (16 - 8)

Count up from 8 to 16: 9, 10, 11, 12, 13, 14, 15, 16 (8 less)

Step 3: For "How many less" (13 - 5)

Count up from 5 to 13: 6, 7, 8, 9, 10, 11, 12, 13 (8 less)

14 - 6 = 8, 16 - 8 = 8, 13 - 5 = 8
Final answers:

There are 8 less, 8 less, and 8 less respectively.

Applied rules:

• Keyword: "How many less" indicates subtraction

• Strategy: Count up from smaller number to larger number

• Concept: Finding the difference between two quantities

• Practice Tip: Same strategy as "how many more" - count up from smaller to larger

4 How Many Together Problems
Worksheet 4
How many together: 9 + 4 = ?, How many together: 7 + 6 = ?, How many together: 5 + 8 = ?
Difficulty: Beginner Time: ~5 minutes Skills: Addition, Counting, Grouping
Definition:

"How many together" problems: Addition problems that ask for the total when two or more groups are combined.

Note: These problems help students understand addition as combining separate groups into one larger group.

Step-by-step worksheet method:
  1. Identify the groups being combined
  2. Determine that addition is needed
  3. Count all items together
  4. State the total number
Problem 1: 9+4
Counting on from 9: 10, 11, 12, 13
Problem 2: 7+6
Counting on from 7: 8, 9, 10, 11, 12, 13
Problem 3: 5+8
Counting on from 5: 6, 7, 8, 9, 10, 11, 12, 13
Step 1: For "How many together" (9 + 4)

Count on from 9: 10, 11, 12, 13

Step 2: For "How many together" (7 + 6)

Count on from 7: 8, 9, 10, 11, 12, 13

Step 3: For "How many together" (5 + 8)

Count on from 5: 6, 7, 8, 9, 10, 11, 12, 13

9 + 4 = 13, 7 + 6 = 13, 5 + 8 = 13
Final answers:

There are 13 together, 13 together, and 13 together respectively.

Applied rules:

• Keyword: "Together" indicates addition

• Strategy: Count on from the larger number

• Concept: Combining separate groups into one total

• Practice Tip: Start counting from the larger addend

5 Mixed How Many Problems
Worksheet 5
How many left: 15 - 4 = ?, How many altogether: 11 + 3 = ?, How many more: 12 - 7 = ?, How many total: 8 + 6 = ?
Difficulty: Intermediate Time: ~7 minutes Skills: Addition, Subtraction, Keyword Recognition
Definition:

Mixed "how many" problems: Problems that include both addition and subtraction with various "how many" question formats.

Note: These problems help students identify the correct operation based on the specific wording of the question.

Step-by-step worksheet method:
  1. Read the question carefully
  2. Identify the keyword ("left," "altogether," "more," "total")
  3. Choose the correct operation
  4. Solve using appropriate counting strategy
Problem 1: 15-4
"Left" → subtraction → 15→14→13→12→11 (counting back)
Problem 2: 11+3
"Altogether" → addition → 11→12→13→14 (counting on)
Problem 3: 12-7
"More" → subtraction → 7→8→9→10→11→12 (counting up)
Problem 4: 8+6
"Total" → addition → 8→9→10→11→12→13→14 (counting on)
Step 1: For "How many left" (15 - 4)

Keyword "left" indicates subtraction: 15 - 4 = 11

Step 2: For "How many altogether" (11 + 3)

Keyword "altogether" indicates addition: 11 + 3 = 14

Step 3: For "How many more" (12 - 7)

Keyword "more" indicates subtraction: 12 - 7 = 5

Step 4: For "How many total" (8 + 6)

Keyword "total" indicates addition: 8 + 6 = 14

15 - 4 = 11, 11 + 3 = 14, 12 - 7 = 5, 8 + 6 = 14
Final answers:

There are 11 left, 14 altogether, 5 more, and 14 total.

Applied rules:

• Keyword recognition: "Left" and "more" indicate subtraction

• Keyword recognition: "Altogether" and "total" indicate addition

• Strategy selection: Choose appropriate counting method

• Practice Tip: Circle keywords to help identify the operation

Worksheets 6-10 with Solutions
6 How Many Left Problems
Worksheet 6
How many left: 17 - 9 = ?, How many left: 14 - 6 = ?, How many left: 16 - 8 = ?, How many left: 13 - 5 = ?
Definition:

"How many left" problems: Subtraction problems that ask for the remaining quantity after some have been taken away.

Note: These problems help students understand subtraction as taking away or removing from a group.

Step-by-step worksheet method:
  1. Identify the starting amount
  2. Determine how many were taken away
  3. Subtract to find what remains
  4. State how many are left
Problem 1: 17-9
Counting back from 17: 16, 15, 14, 13, 12, 11, 10, 9, 8
Problem 2: 14-6
Counting back from 14: 13, 12, 11, 10, 9, 8
Problem 3: 16-8
Counting back from 16: 15, 14, 13, 12, 11, 10, 9, 8
Problem 4: 13-5
Counting back from 13: 12, 11, 10, 9, 8
Step 1: For "How many left" (17 - 9)

Count back from 17: 16, 15, 14, 13, 12, 11, 10, 9, 8 (8 left)

Step 2: For "How many left" (14 - 6)

Count back from 14: 13, 12, 11, 10, 9, 8 (8 left)

Step 3: For "How many left" (16 - 8)

Count back from 16: 15, 14, 13, 12, 11, 10, 9, 8 (8 left)

Step 4: For "How many left" (13 - 5)

Count back from 13: 12, 11, 10, 9, 8 (8 left)

17 - 9 = 8, 14 - 6 = 8, 16 - 8 = 8, 13 - 5 = 8
Final answers:

There are 8 left, 8 left, 8 left, and 8 left respectively.

7 How Many Total Problems
Worksheet 7
How many total: 12 + 5 = ?, How many total: 9 + 7 = ?, How many total: 6 + 8 = ?, How many total: 11 + 4 = ?
Definition:

"How many total" problems: Addition problems that ask for the combined amount when quantities are put together.

Note: These problems help students understand addition as finding the sum of separate quantities.

Step-by-step worksheet method:
  1. Identify the separate quantities
  2. Determine that addition is needed
  3. Count all items together
  4. State the total number
Problem 1: 12+5
Counting on from 12: 13, 14, 15, 16, 17
Problem 2: 9+7
Counting on from 9: 10, 11, 12, 13, 14, 15, 16
Problem 3: 6+8
Counting on from 6: 7, 8, 9, 10, 11, 12, 13, 14
Problem 4: 11+4
Counting on from 11: 12, 13, 14, 15
Step 1: For "How many total" (12 + 5)

Count on from 12: 13, 14, 15, 16, 17 (total is 17)

Step 2: For "How many total" (9 + 7)

Count on from 9: 10, 11, 12, 13, 14, 15, 16 (total is 16)

Step 3: For "How many total" (6 + 8)

Count on from 6: 7, 8, 9, 10, 11, 12, 13, 14 (total is 14)

Step 4: For "How many total" (11 + 4)

Count on from 11: 12, 13, 14, 15 (total is 15)

12 + 5 = 17, 9 + 7 = 16, 6 + 8 = 14, 11 + 4 = 15
Final answers:

There are 17 total, 16 total, 14 total, and 15 total respectively.

8 How Many Combined Problems
Worksheet 8
How many combined: 10 + 6 = ?, How many combined: 13 + 4 = ?, How many combined: 8 + 7 = ?, How many combined: 14 + 3 = ?
Definition:

"How many combined" problems: Addition problems that ask for the result when separate groups are joined together.

Note: These problems help students understand addition as combining different sets into one group.

Step-by-step worksheet method:
  1. Identify the separate groups
  2. Determine that addition is needed
  3. Count all items after combining
  4. State the combined total
Problem 1: 10+6
Counting on from 10: 11, 12, 13, 14, 15, 16
Problem 2: 13+4
Counting on from 13: 14, 15, 16, 17
Problem 3: 8+7
Counting on from 8: 9, 10, 11, 12, 13, 14, 15
Problem 4: 14+3
Counting on from 14: 15, 16, 17
Step 1: For "How many combined" (10 + 6)

Count on from 10: 11, 12, 13, 14, 15, 16 (combined is 16)

Step 2: For "How many combined" (13 + 4)

Count on from 13: 14, 15, 16, 17 (combined is 17)

Step 3: For "How many combined" (8 + 7)

Count on from 8: 9, 10, 11, 12, 13, 14, 15 (combined is 15)

Step 4: For "How many combined" (14 + 3)

Count on from 14: 15, 16, 17 (combined is 17)

10 + 6 = 16, 13 + 4 = 17, 8 + 7 = 15, 14 + 3 = 17
Final answers:

There are 16 combined, 17 combined, 15 combined, and 17 combined respectively.

9 How Many Comparison Problems
Worksheet 9
How many more: 18 - 9 = ?, How many less: 15 - 6 = ?, How many difference: 16 - 8 = ?, How many extra: 14 - 5 = ?
Definition:

Comparison "how many" problems: Subtraction problems that ask for the difference between two quantities using various comparison terms.

Note: These problems help students understand subtraction as finding the difference between quantities regardless of the specific wording.

Step-by-step worksheet method:
  1. Identify the two quantities being compared
  2. Recognize that subtraction is needed for comparison
  3. Subtract the smaller from the larger
  4. State the difference
Problem 1: 18-9
Counting up from 9 to 18: 10, 11, 12, 13, 14, 15, 16, 17, 18 (9 more)
Problem 2: 15-6
Counting up from 6 to 15: 7, 8, 9, 10, 11, 12, 13, 14, 15 (9 less)
Problem 3: 16-8
Counting up from 8 to 16: 9, 10, 11, 12, 13, 14, 15, 16 (8 difference)
Problem 4: 14-5
Counting up from 5 to 14: 6, 7, 8, 9, 10, 11, 12, 13, 14 (9 extra)
Step 1: For "How many more" (18 - 9)

Count up from 9 to 18: 10, 11, 12, 13, 14, 15, 16, 17, 18 (9 more)

Step 2: For "How many less" (15 - 6)

Count up from 6 to 15: 7, 8, 9, 10, 11, 12, 13, 14, 15 (9 less)

Step 3: For "How many difference" (16 - 8)

Count up from 8 to 16: 9, 10, 11, 12, 13, 14, 15, 16 (8 difference)

Step 4: For "How many extra" (14 - 5)

Count up from 5 to 14: 6, 7, 8, 9, 10, 11, 12, 13, 14 (9 extra)

18 - 9 = 9, 15 - 6 = 9, 16 - 8 = 8, 14 - 5 = 9
Final answers:

There are 9 more, 9 less, 8 difference, and 9 extra respectively.

10 Comprehensive How Many Practice
Worksheet 10
How many altogether: 17 + 2 = ?, How many left: 19 - 7 = ?, How many more: 16 - 9 = ?, How many total: 11 + 8 = ?, How many combined: 13 + 5 = ?, How many less: 18 - 12 = ?
Definition:

Comprehensive "how many" practice: A variety of "how many" problems that require efficient application of addition and subtraction strategies.

Note: These problems help students develop fluency with different "how many" question formats as they approach mastery.

Step-by-step worksheet method:
  1. Quickly identify the question format
  2. Determine the appropriate operation
  3. Apply the strategy with accuracy
  4. Verify the result efficiently
Problem 1: 17+2
"Altogether" → addition → 17→18→19 (counting on)
Problem 2: 19-7
"Left" → subtraction → 19→18→17→16→15→14→13→12 (counting back)
Problem 3: 16-9
"More" → subtraction → 9→10→11→12→13→14→15→16 (counting up)
Problem 4: 11+8
"Total" → addition → 11→12→13→14→15→16→17→18→19 (counting on)
Step 1: For "How many altogether" (17 + 2)

Count on from 17: 18, 19 (19 altogether)

Step 2: For "How many left" (19 - 7)

Count back from 19: 18, 17, 16, 15, 14, 13, 12 (12 left)

Step 3: For "How many more" (16 - 9)

Count up from 9 to 16: 10, 11, 12, 13, 14, 15, 16 (7 more)

Step 4: For "How many total" (11 + 8)

Count on from 11: 12, 13, 14, 15, 16, 17, 18, 19 (19 total)

17 + 2 = 19, 19 - 7 = 12, 16 - 9 = 7, 11 + 8 = 19, 13 + 5 = 18, 18 - 12 = 6
Final answers:

There are 19 altogether, 12 left, 7 more, 19 total, 18 combined, and 6 less.

Detailed Summary: How Many Counting Worksheets
Core Concepts and Definitions:

"How Many" Counting: Word problems that use phrases like "how many," "how many altogether," "how many left," etc. to ask for quantities.

Addition Keywords: Words that indicate addition is needed: "altogether," "total," "combined," "in all," "sum," "more."

Subtraction Keywords: Words that indicate subtraction is needed: "left," "less," "fewer," "difference," "remain," "how many more," "how many less."

Counting Strategies: Techniques for performing addition and subtraction: counting on for addition, counting back or counting up for subtraction.

Number Sense: Understanding the relationships between numbers and their quantities.

Mathematical Fluency: The ability to perform calculations quickly and accurately.

Core Rules and Principles:
  1. Keyword Recognition: Identify operation words to determine if addition or subtraction is needed.
  2. Counting On: Start with the larger number and count up for addition.
  3. Counting Back: Start with the larger number and count down for subtraction.
  4. Counting Up: Start with the smaller number and count up for subtraction (finding difference).
  5. Verification: Always check your answer by using the opposite operation.
Step-by-Step Procedures: 1) Read the question carefully, 2) Identify keywords, 3) Choose the operation, 4) Apply counting strategy, 5) State the answer in context, 6) Verify the result.
Examples (Simple → Advanced): Simple: "How many altogether: 3 + 2?" Advanced: "How many more: 18 - 9?" Problems progress from basic to complex "how many" question formats.
Tips: Circle keywords to help identify operations, use fingers or objects to visualize counting, practice both addition and subtraction strategies, verify answers by checking.
Common Pitfalls: Misreading keywords, confusing addition with subtraction, starting counting from the wrong number, forgetting to state the answer in context, not verifying answers.

Key Takeaways for Memorization

  • Keywords for addition: altogether, total, combined, in all, sum, more
  • Keywords for subtraction: left, less, fewer, difference, remain, how many more/less
  • Counting on is for addition problems
  • Counting back or up is for subtraction problems
  • Always reread the question to ensure your answer makes sense
  • Practice regularly to build fluency with different question formats
  • Check your work by using the opposite operation
Essential Teaching Points:

• Keyword Recognition: Teach students to identify operation words in "how many" problems

• Concrete to Abstract: Begin with physical objects, progress to visual representations, then mental math

• Consistent Practice: Regular exposure builds automaticity and fluency

• Verification Skills: Teach students to check their work by using the opposite operation

How Many Counting Worksheets

Learning Objectives

  • Recognize "how many" question formats
  • Identify operation keywords
  • Apply appropriate counting strategies
  • Build number sense within 20
  • Improve mathematical fluency
  • Develop problem-solving skills
  • Connect math to real-world contexts

Addition Keywords

Altogether, Total, Combined, In All, Sum, More

Subtraction Keywords

Left, Less, Fewer, Difference, Remain, How Many More/Less

Addition Uses Counting On
Subtraction Uses Counting Back/Up
Circle Keywords
Verify Your Answer

Worksheet Practice Elements

These worksheets provide structured practice opportunities that build mathematical fluency through repetition, keyword recognition, and contextual problem-solving.

Worksheet Success Steps:

1
Read the "how many" question carefully
2
Identify operation keywords in the question
3
Choose the appropriate operation (addition or subtraction)
4
Apply the correct counting strategy
5
State the answer in the context of the question
6
Verify your answer using the opposite operation
Key Rules, Methods, and Strategies
How Many Addition: a + b = Count from a, count up b times
How Many Addition Strategy
How Many Subtraction: a - b = Count from a, count back b times OR Count from b, count up to a
How Many Subtraction Strategy
Key definitions:

"How many": Questions that ask for quantities using specific phrases.

Keywords: Words that indicate which mathematical operation to use.

Number sense: Understanding the relationship between numbers and their quantities.

Complete methodology:
  1. Read the question: Understand what is being asked
  2. Identify keywords: Determine if addition or subtraction is needed
  3. Choose the operation: Addition for combining, subtraction for taking away or comparing
  4. Apply counting strategy: Count on for addition, count back/up for subtraction
  5. Verify the result: Check by using the opposite operation
Tip 1: Circle or underline keywords to help identify the operation.
Tip 2: Use your fingers or draw dots to help visualize the counting process.
Tip 3: Practice counting forward and backward regularly to build fluency.
Tip 4: Check your answer by counting in the opposite direction to verify.
Common errors: Misreading keywords, confusing addition with subtraction, starting from the wrong number, forgetting to state answer in context.
Success strategies: Practice keyword recognition, use visual aids, verbalize the problem-solving process, verify answers by checking.
Rules to remember:

• Addition keywords: Altogether, total, combined, in all, sum, more

• Subtraction keywords: Left, less, fewer, difference, remain, how many more/less

• Counting on: For addition problems, start with larger number

• Counting back/up: For subtraction problems, use appropriate strategy

• Verify results: Always check your answer by using opposite operation

Questions & Answers

Question: I'm doing the "how many" worksheets but sometimes I get confused about when to add and when to subtract. How can I remember?

Answer: Great question! Here's how to remember:

  • Look for keywords in the question
  • Words like "altogether," "total," "combined" mean ADDITION
  • Words like "left," "less," "more," "fewer" mean SUBTRACTION
  • Circle or underline these keywords to help you remember

Practice with the worksheets and it will become automatic! The more you practice, the more natural it feels.

Question: My child is struggling with the "how many" worksheets and seems to slow down with word problems. How can I help them build confidence?

Answer: Here are strategies to help your child with "how many" worksheets:

  • Start with simpler numbers and gradually increase difficulty
  • Read the problems together and circle keywords
  • Use physical objects like counters to act out the problems
  • Celebrate small improvements and progress
  • Practice the same problem types multiple times for familiarity

Remember, building confidence with word problems takes time and consistent practice!

Question: Why do we do worksheets with "how many" questions? Can't we just do regular math problems?

Answer: "How many" questions are important because:

  • They help you connect math to real-life situations
  • They teach you to read and understand what the question is asking
  • They help you learn important keywords that tell you what operation to use
  • They prepare you for more complex word problems in the future
  • They show you how math is useful in everyday life

"How many" questions make math more meaningful and practical!

Math Glossary

How Many
A question format that asks for quantities using specific phrases like "how many altogether," "how many left," etc.
Addition Keywords
Words that indicate addition is needed: altogether, total, combined, in all, sum, more.
Subtraction Keywords
Words that indicate subtraction is needed: left, less, fewer, difference, remain, how many more/less.
Counting On
A strategy for addition where you start with the larger number and count up by the amount of the smaller number.
Counting Back
A strategy for subtraction where you start with the larger number and count down by the amount being subtracted.
Counting Up
A strategy for subtraction where you start with the smaller number and count up to the larger number to find the difference.
Mathematical Fluency
The ability to perform calculations quickly and accurately.
Number Sense
Understanding the relationships between numbers and their quantities.
Verification
Checking your answer using the opposite operation to ensure accuracy.

Elementary How Many Educational Team

Certified Elementary Mathematics Educators

Our team specializes in creating structured worksheets that help students master "how many" counting problems. All content is aligned with Common Core State Standards and designed to promote mathematical understanding through contextual problem-solving that connects math to real-world applications.