Solved Exercises on Addition Facts Within 10 Worksheets in Grade 2

Master addition facts within 10: number bonds, counting strategies, and mental math techniques through these 5 detailed worksheet exercises.

Solution: Exercises 1 to 3
1 Basic addition facts
Exercise 1
Complete the addition: 3 + 4 = ?
Definition:

Addition: Combining two or more numbers to find their total

Sum: The answer when you add numbers together

Addition facts within 10: Addition problems where the sum is 10 or less

Addition method:
  1. Start with the first number (3)
  2. Count up by the second number (4 more)
  3. Count: 4, 5, 6, 7
  4. The answer is 7
Expression
3 + 4
Strategy
Counting on
Answer
7
Step 1: Start with 3

We have 3 objects

Step 2: Add 4 more

Now we count: 4, 5, 6, 7

Step 3: Count total

We have 7 objects altogether

3 + 4 = 7
Final answer:

3 + 4 = 7

Applied rules:

• Counting on: Start with the larger number and count up

• Addition principle: Combining groups to find the total

• Verification: Always check by counting to confirm the answer

2 Number bonds to 10
Exercise 2
Complete the addition: 6 + 2 = ?
Definition:

Number bond: Two numbers that add up to make a specific total

Part-whole relationship: Smaller parts combine to make the whole

Expression
6 + 2
Number bond
8
Answer
8
Step 1: Recognize the addition

We need to add 6 and 2

Step 2: Count up from 6

7, 8

Step 3: Verify by counting

Count: 7, 8

6 + 2 = 8
Final answer:

6 + 2 = 8

Applied rules:

• Counting on: Start with the larger number and count up

• Part-whole thinking: Understanding how parts combine

• Memorization: Knowing addition facts helps solve problems quickly

3 Doubles facts
Exercise 3
Complete the addition: 4 + 4 = ?
Definition:

Doubles fact: Adding the same number twice (e.g., 4 + 4)

Double meaning: Twice as much as the original number

Expression
4 + 4
Doubles fact
Double 4
Answer
8
Step 1: Recognize it's a doubles fact

This is 4 doubled

Step 2: Apply doubles strategy

4 + 4 = double 4 = 8

Step 3: Count to verify

Start at 4, count 4 more: 5, 6, 7, 8

Step 4: Confirm the answer

4 + 4 = 8

4 + 4 = 8
Final answer:

4 + 4 = 8

Applied rules:

• Doubles facts: 1+1=2, 2+2=4, 3+3=6, 4+4=8, 5+5=10

• Doubling: Adding a number to itself

• Mental math: Doubles facts are building blocks for other addition

Addition Facts Within 10 - Core Concepts
a + b ≤ 10
Addition Facts Within 10
Doubles
1+1=2
One plus one
Doubles
2+2=4
Two plus two
Doubles
3+3=6
Three plus three
Doubles
4+4=8
Four plus four
Doubles
5+5=10
Five plus five
Make 10
1+9=10
One and nine
Make 10
2+8=10
Two and eight
Make 10
3+7=10
Three and seven
Make 10
4+6=10
Four and six
Make 10
5+5=10
Five and five
Plus One
1+1=2
1+1
Plus One
2+1=3
2+1
Plus One
3+1=4
3+1
Plus One
4+1=5
4+1
Plus One
5+1=6
5+1
Plus One
6+1=7
6+1
Plus One
7+1=8
7+1
Plus One
8+1=9
8+1
Plus One
9+1=10
9+1
Key definitions:

Addition: Combining two or more numbers to find their total

Sum: The result of adding numbers together

Addend: The numbers being added together

Number bond: A relationship showing how numbers combine to make a total

Fact family: Related addition and subtraction facts using the same numbers

Addition facts within 10: Addition problems where the sum is 10 or less

Addition strategies:
  1. Counting on: Start with the larger number and count up
  2. Using doubles: Know doubles facts to solve near-doubles
  3. Make 10: Break apart numbers to make 10 first
  4. Commutative property: Change order to make it easier
  5. Visualizing: Picture objects being combined
Tip 1: Practice doubles facts daily for quick recall.
Tip 2: Use fingers or manipulatives to visualize addition.
Tip 3: Remember that adding 0 doesn't change the number.
Tip 4: Always verify by counting to check your answer.
Common errors: Starting to count from the first number instead of the next number, forgetting that order doesn't matter in addition.
Memorization tip: Sing or chant addition facts to make them stick.
Addition properties:

• Commutative Property: a + b = b + a (order doesn't matter)

• Identity Property: a + 0 = a (adding zero doesn't change the number)

• Associative Property: (a + b) + c = a + (b + c) (grouping doesn't matter)

Solution: Exercises 4 to 5
4 Near doubles
Exercise 4
Complete the addition: 3 + 5 = ?
Definition:

Addition facts within 10: Addition problems where the sum is 10 or less

Expression
3 + 5
Strategy
Counting on
Answer
8
Step 1: Recognize the problem

We need to add 3 and 5

Step 2: Use counting on strategy

Start at 3, count 5 more: 4, 5, 6, 7, 8

Step 3: Count to verify

Start at 3, count 5 more: 4, 5, 6, 7, 8

3 + 5 = 8
Final answer:

3 + 5 = 8

Applied rules:

• Counting on strategy: Start with the larger number and count up

• Addition within 10: The sum is less than or equal to 10

• Building on known facts: Use what you know to figure out what you don't

5 Word problem
Exercise 5
Tom has 2 marbles. His friend gives him 7 more marbles. How many marbles does Tom have now?
Definition:

Word problem: A real-world situation that can be solved using math

Problem
2 + 7 = ?
Solution
Start at 2, count 7 more
Answer
9 marbles
Step 1: Identify what we know

Tom starts with 2 marbles and gets 7 more

Step 2: Set up the equation

2 + 7 = ?

Step 3: Solve using counting

Start at 2, count 7 more: 3, 4, 5, 6, 7, 8, 9

Step 4: Answer the question

Tom has 9 marbles now

2 + 7 = 9
Final answer:

Tom has 9 marbles now

Applied rules:

• Word problem solving: Identify known information and what you need to find

• Addition within 10: The sum is less than or equal to 10

• Real-world connection: Math helps us solve everyday problems

Addition Facts Within 10 - Complete Summary
a + b ≤ 10
Addition Facts Within 10
Key definitions:

Addition: The operation of combining two or more numbers to find their total

Sum: The answer when you add numbers together

Addend: The numbers being added together

Number bond: A relationship showing how numbers combine to make a total

Fact family: Related addition and subtraction facts using the same numbers

Addition facts within 10: Addition problems where the sum is 10 or less

Complete methodology:
  1. Analyze the expression: Look for the target sum (within 10) and identify known numbers
  2. Choose the method: Counting on, using known facts, or decomposition
  3. Apply the method: Follow the steps of the chosen technique
  4. Verify the result: By counting or using another method
Tip 1: Master all addition facts within 10 - they're building blocks for other math.

Tip 2: Use the "making 10" strategy for other addition problems.

Tip 3: Practice with visual aids like ten frames or number lines.

Tip 4: Always check your work by counting from the first number.

Common errors: Starting to count from the first number instead of the next number, forgetting that order doesn't matter in addition.

Memory tip: Remember that addition facts are like friends - they work together!

Addition facts within 10:

All combinations: 1+1=2, 1+2=3, 1+3=4, 1+4=5, 1+5=6, 1+6=7, 1+7=8, 1+8=9, 1+9=10

And more: 2+2=4, 2+3=5, 2+4=6, 2+5=7, 2+6=8, 2+7=9, 2+8=10

Continuing: 3+3=6, 3+4=7, 3+5=8, 3+6=9, 3+7=10

More patterns: 4+4=8, 4+5=9, 4+6=10, 5+5=10

Visualization: Addition Facts Within 10
Addition Patterns
Consider the following addition patterns:
1+1=2, 2+2=4, 3+3=6, 4+4=8, 5+5=10
1+9=10, 2+8=10, 3+7=10, 4+6=10, 5+5=10

Analysis: These patterns show important relationships in addition:

  • Doubles facts: Each number added to itself
  • Make 10 facts: Pairs that combine to equal 10
  • These facts serve as building blocks for more complex addition

Questions & Answers

Question: Why do we focus on addition facts within 10? Aren't bigger numbers more important?

Answer: Addition facts within 10 are like the ABCs of math - they form the foundation for everything else! Here's why they're crucial:

  • Foundation: They teach the basic concept of combining numbers
  • Speed: Knowing these facts instantly helps solve bigger problems faster
  • "Making 10" strategy: These facts help solve harder problems like 8 + 7 by thinking 8 + 2 + 5 = 10 + 5 = 15
  • Confidence: Mastering basics builds confidence for more complex math

Big numbers ARE important, but they build on these foundational facts!

Question: My child knows some addition facts but not others. Should I drill them on all facts at once?

Answer: No, it's better to focus strategically! Try this approach:

  • Start with doubles: 1+1, 2+2, 3+3, 4+4, 5+5 (these are easiest)
  • Add doubles plus one: 2+3, 3+4, 4+5 (builds on doubles)
  • Work on "make 10" facts: 1+9, 2+8, 3+7, 4+6, 5+5
  • Focus on what they struggle with: Don't waste time on facts they already know

This builds confidence while filling in knowledge gaps systematically!

Question: I sometimes forget if 3 + 4 is 7 or 8. How can I remember better?

Answer: Here are several memory tricks for 3 + 4:

Method 1 - Counting:

  • Start at 3, count 4 more: 4, 5, 6, 7
  • So 3 + 4 = 7

Method 2 - Connection to doubles:

  • 3 + 3 = 6, so 3 + 4 = 6 + 1 = 7

Method 3 - Visual pattern:

  • Remember: "3 and 4 make 7, like days in a week"

Practice with these methods until it feels automatic!

Question: How can I check if my addition answer is correct?

Answer: Here are reliable methods to check addition within 10:

Method 1 - Counting:

  • Start with the first number and count up by the second number
  • Example: For 5 + 3, count 6, 7, 8

Method 2 - Subtraction:

  • Take your answer and subtract one of the addends
  • If you get the other addend, your answer is correct
  • Example: 5 + 3 = 8, then 8 - 5 = 3 ✓

Method 3 - Estimate:

  • Your answer should be bigger than both numbers you started with
  • Example: 5 + 3 should be bigger than 5 and bigger than 3

These methods help build confidence and catch errors!

Question: What's the fastest way to master addition facts within 10?

Answer: Here are the most effective strategies for mastering addition facts within 10:

  1. Focus on patterns: Learn doubles first (2+2, 3+3, etc.), then near doubles
  2. Use the "make 10" strategy: This helps with many addition problems
  3. Practice daily: Even 10 minutes a day makes a big difference
  4. Play games: Use flashcards, apps, or online games to make practice fun
  5. Connect to real life: Find examples of addition in daily activities

Most importantly, don't try to memorize everything at once. Focus on one strategy at a time and build gradually!