Solved Exercises on Repeated Addition and Subtraction Worksheets in Grade 2

Master repeated addition and subtraction worksheets: structured practice, number patterns, and foundational arithmetic skills through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Worksheet: Fill in the pattern
Exercise 1
Complete the pattern: 5, 10, 15, 20, ___, ___, ___
Definition:

Pattern Completion: Continuing a sequence based on a consistent rule.

Pattern Recognition Method:
  1. Identify the pattern rule
  2. Apply the rule consistently
  3. Complete the sequence
  4. Verify the pattern continues
5
10
15
20
25
30
35
Pattern
+5 each time
Next
20 + 5 = 25
Next
25 + 5 = 30
Next
30 + 5 = 35
Step 1: Identify the pattern

5 → 10 → 15 → 20: Each number increases by 5

Step 2: Continue adding 5

20 + 5 = 25, then 25 + 5 = 30, then 30 + 5 = 35

Step 3: Verify the sequence

5, 10, 15, 20, 25, 30, 35 - all numbers are 5 apart

5, 10, 15, 20, 25, 30, 35
Final answer:

5, 10, 15, 20, 25, 30, 35

Applied rules:

• Pattern recognition: Identify the constant difference

• Consistency: Apply the same operation throughout

• Verification: Check that the pattern continues logically

Pattern Tip: Look for the difference between consecutive numbers!
Sequence Tip: Write down the operation to see the pattern clearly.
2 Worksheet: Subtraction pattern
Exercise 2
Complete the pattern: 30, 25, 20, 15, ___, ___, ___
Definition:

Decreasing Pattern: A sequence where each number decreases by a consistent amount.

30
25
20
15
10
5
0
Pattern
-5 each time
Next
15 - 5 = 10
Next
10 - 5 = 5
Next
5 - 5 = 0
Step 1: Identify the pattern

30 → 25 → 20 → 15: Each number decreases by 5

Step 2: Continue subtracting 5

15 - 5 = 10, then 10 - 5 = 5, then 5 - 5 = 0

Step 3: Verify the sequence

30, 25, 20, 15, 10, 5, 0 - all numbers are 5 apart

30, 25, 20, 15, 10, 5, 0
Final answer:

30, 25, 20, 15, 10, 5, 0

Applied rules:

• Decreasing pattern: Same number subtracted repeatedly

• Consistency: Apply the same operation throughout

• Verification: Check that the pattern continues logically

Subtraction Tip: Look for the difference between consecutive numbers!
Pattern Tip: Numbers decrease when subtracting repeatedly.
3 Worksheet: Alternating operations
Exercise 3
Complete: Start with 8. Add 2, subtract 1, repeat this pattern 3 times. What are the next 3 numbers?
Definition:

Alternating Operations: Performing different operations in a repeating sequence.

8
+2
10
-1
9
+2
11
-1
10
+2
12
-1
11
Start
8
Pattern
+2, -1
Repeat
3 times
Results
9, 11, 10
Step 1: Start with 8

Begin with the number 8

Step 2: First cycle (+2, -1)

8 + 2 = 10, then 10 - 1 = 9

Step 3: Second cycle (+2, -1)

9 + 2 = 11, then 11 - 1 = 10

Step 4: Third cycle (+2, -1)

10 + 2 = 12, then 12 - 1 = 11

Next 3 numbers: 9, 11, 10
Final answer:

After 3 cycles: 9, 11, 10

Applied rules:

• Sequential operations: Perform each operation in order

• Pattern repetition: Follow the same sequence multiple times

• Step-by-step calculation: Track each result carefully

Sequence Tip: Write down each step to avoid confusion!
Pattern Tip: Track the result after each operation.
Worksheet Structure & Patterns
a + a + ... + a = n × a
a - b - b - ... - b = a - n × b
Pattern Formulas
Addition Pattern
a + b = c
Increases value
Subtraction Pattern
a - b = c
Decreases value
Alternating Pattern
a + b - c = d
Combines effects
📋
🔢
+
-
=
Key definitions:

Worksheet: Structured practice sheet with organized problems and spaces for answers

Pattern: A predictable sequence of numbers or operations

Alternating Operations: Different operations performed in a repeating sequence

Worksheet benefits: Provides structured practice, reinforces patterns, builds confidence
Pattern importance: Develops number sense, improves mental math, prepares for multiplication
Worksheet Completion Methods:
  1. Read Instructions: Understand exactly what the worksheet asks
  2. Identify Patterns: Recognize the sequence or rule
  3. Apply Operations: Perform the correct mathematical operations
  4. Write Neatly: Present answers clearly and orderly
  5. Check Work: Verify that answers make sense
Solution: Exercises 4 to 5
4 Worksheet: Word problem
Exercise 4
Tom has 20 stickers. He gives away 3 stickers each day for 4 days. How many stickers does he have left?
Definition:

Word Problem: Real-world scenario requiring mathematical operations to solve.

20
-
3
-
3
-
3
-
3
Start
20
Subtract
4 × 3 = 12
Total
20 - 12 = 8
Step 1: Start with 20 stickers

Tom begins with 20 stickers

Step 2: Subtract 3 each day for 4 days

Day 1: 20 - 3 = 17, Day 2: 17 - 3 = 14, Day 3: 14 - 3 = 11, Day 4: 11 - 3 = 8

Step 3: Alternative calculation

20 - (4 × 3) = 20 - 12 = 8

Step 4: Final count

Tom has 8 stickers left

Tom has 8 stickers left
Final answer:

Tom has 8 stickers left

Applied rules:

• Sequential operations: Perform operations in the order given

• Real-world connection: Math applies to everyday situations

• Step-by-step tracking: Keep track of each change

Word Problem Tip: Break the problem into smaller steps!
Tracking Tip: Write down each step to follow the changes.
5 Worksheet: True or False
Exercise 5
Circle TRUE or FALSE: 15 - 3 - 3 - 3 = 15 - 9. Explain your answer.
Definition:

True/False: Determining if mathematical statements are correct or incorrect.

15
-
3
-
3
-
3
=
15
-
9
Left Side
15 - 3 - 3 - 3 = 6
Right Side
15 - 9 = 6
Equal?
Yes!
Step 1: Calculate left side

15 - 3 - 3 - 3 = 15 - 9 = 6

Step 2: Calculate right side

15 - 9 = 6

Step 3: Compare

6 = 6, so it's TRUE

Step 4: Explain

Subtracting 3 three times is the same as subtracting 9 once

TRUE: Both sides equal 6
Final answer:

TRUE: Both 15 - 3 - 3 - 3 = 6 and 15 - 9 = 6, so they are equal.

Applied rules:

• Verification: Calculate both sides to check equality

• Repeated subtraction: Same as subtracting the total amount

• Logical reasoning: Justify your answer with evidence

True/False Tip: Always calculate both sides before deciding!
Explanation Tip: Provide reasons for your answer.
Detailed Summary: Repeated Addition and Subtraction Worksheets
a + a + ... + a (n times) = n × a
a - b - b - ... - b (n times) = a - n × b
Fundamental Operation Formulas
Key definitions:

Repeated Addition: Adding the same number multiple times (e.g., 4 + 4 + 4 = 12)

Repeated Subtraction: Subtracting the same number multiple times (e.g., 15 - 3 - 3 - 3 = 6)

Pattern: A predictable sequence of numbers or operations

Worksheet: Structured practice sheet with organized problems

Worksheet Completion Methods:
  1. Read Instructions: Understand exactly what the worksheet asks for
  2. Identify Patterns: Recognize the sequence or rule
  3. Apply Operations: Perform the correct mathematical operations
  4. Track Results: Keep track of each step's outcome
  5. Verify Accuracy: Check that calculations are correct
  6. Check Final Answer: Ensure it makes sense in context
Tip 1: Repeated addition leads to multiplication (3 + 3 + 3 = 3 × 3 = 9).
Tip 2: Repeated subtraction can be thought of as adding negative numbers.
Tip 3: Look for the net effect when operations alternate (+2, -1 = net +1).
Tip 4: Write down each step to avoid losing track of calculations.
Tip 5: Check if your answer makes sense in the real-world context.
Common errors: Forgetting to continue the pattern, miscalculating intermediate steps.
Practice advice: Start with simple patterns, use visual aids, practice regularly.
Essential worksheet facts:

• Repeated addition: a + a + ... + a (n times) = n × a

• Repeated subtraction: a - b - b - ... - b (n times) = a - n × b

• Patterns help predict future values in sequences

• Alternating operations can be simplified by finding net effects

• Worksheets provide structured practice for skill development

• These concepts are foundational for multiplication and division

Worksheet Success Path
1
Read Problem
2
Identify Pattern
3
Apply Operations
4
Calculate & Check

Questions & Answers

Question: Why do we need worksheets for repeated addition and subtraction? Can't I just learn them without worksheets?

Answer: Worksheets are very helpful for learning:

  • Structured practice: Organized problems help you learn step by step
  • Repetition: Multiple examples help you remember the patterns
  • Progress tracking: You can see how much you've improved
  • Confidence building: Success on worksheets boosts your math confidence

Worksheets are like practice for a sport - they help you get better at what you're learning!

Question: How can I help my child who struggles with worksheet problems?

Answer: Here are effective strategies to support your child:

  • Use manipulatives: Give them objects to physically group and count
  • Start small: Begin with simple problems like 2 + 2 = 4
  • Color-code: Use different colors for different numbers
  • Work together: Complete a few problems together first
  • Encourage breaks: Take short breaks if frustration occurs

Remember, patience and positive reinforcement are key to building confidence!

Question: What if I make a mistake on my worksheet? Will I get in trouble?

Answer: Don't worry about mistakes - they're completely normal and helpful!

  • Mistakes help learning: Your brain grows stronger when you make and fix mistakes
  • No punishment: Teachers want to help you learn, not punish you
  • Learning opportunity: Mistakes show what to focus on next
  • Try again: Erase gently and try a different approach

The most important thing is to keep trying and ask for help when you need it!