Doubles and Near Doubles Quiz: Complete Assessment for 1st Graders

Assess your understanding of doubles and near doubles: quiz questions, visual explanations, and step-by-step solutions.

Doubles and Near Doubles Quiz Questions
1 Doubles Question
Question 1
What is 5 + 5?
What is 5 + 5?
8
9
10
11
Doubles Definition:

Doubles: Addition facts where both numbers are the same

1
2
3
4
5
+
6
7
8
9
10
=
10
Step 1: Identify the double

Both numbers are 5

Step 2: Double the number

5 × 2 = 10

Step 3: State the answer

5 + 5 = 10

5 + 5 = 10
Correct answer:

10

Applied rules:

• Doubles Pattern: When both addends are the same, multiply by 2

• Memorization: Doubles facts are foundational math facts

• Visual Recognition: Seeing equal groups helps with understanding

2 Near Doubles Question
Question 2
What is 6 + 7?
What is 6 + 7?
11
13
12
14
Near Doubles Definition:

Near Doubles: Addition facts where numbers differ by 1

1
2
3
4
5
6
+
7
8
9
10
11
12
13
=
13
Step 1: Identify the near double

6 and 7 are consecutive numbers

Step 2: Think of the doubles fact

6 + 6 = 12

Step 3: Add the extra amount

Since 7 is 1 more than 6, add 1 more to 12 = 13

6 + 7 = 13
Correct answer:

13

Applied rules:

• Near Doubles Pattern: Use doubles facts to solve nearby problems

• Adjustment: Add or subtract the difference from the doubles fact

• Number Relationships: Understanding consecutive numbers

3 Mixed Doubles Question
Question 3
Which of these is a double?
Which of these is a double?
3 + 4
4 + 4
5 + 6
2 + 3
Doubles vs Near Doubles:

Doubles: Both numbers are the same | Near Doubles: Numbers differ by 1

1
2
3
4
+
5
6
7
8
=
8
Step 1: Examine each option

Look for identical numbers in each pair

Step 2: Identify the double

4 + 4 has the same number twice

Step 3: Confirm the answer

4 + 4 is a double because both addends are the same

4 + 4 is a double
Correct answer:

4 + 4

Applied rules:

• Doubles Recognition: Both addends must be identical

• Pattern Identification: Look for matching numbers

• Classification: Distinguish between doubles and near doubles

Quiz Results & Feedback
Score: 3/3 (100%)
n + n = 2n
Doubles Formula
Doubles Answer Near Doubles Answer
1 + 1 2 1 + 2 3
2 + 2 4 2 + 3 5
3 + 3 6 3 + 4 7
4 + 4 8 4 + 5 9
5 + 5 10 5 + 6 11
Doubles and Near Doubles Concepts
n + (n+1) = 2n + 1
Near Doubles Formula
Doubles
4 + 4 = 8
Same numbers
Near Doubles
4 + 5 = 9
Consecutive numbers
Strategy
8 + 1 = 9
Use doubles + 1
Key definitions:

Doubles: Addition facts where both addends are identical (2+2, 3+3, etc.)

Near Doubles: Addition facts where numbers differ by 1 (2+3, 4+5, etc.)

Strategy: Using known facts to solve unknown problems

Doubles Strategy Steps:
  1. Recognize: Identify if both numbers are the same
  2. Double: Multiply the number by 2
  3. Recall: Use memorized doubles facts
  4. Verify: Count to confirm the answer
Tip 1: Practice doubles facts until they're automatic.
Tip 2: Use near doubles to solve tricky problems.
Tip 3: Visualize equal groups to understand doubles.
Tip 4: Count on from the doubles fact for near doubles.
Common errors: Confusing doubles with near doubles, forgetting the pattern.
Success strategies: Regular practice, visual aids, connecting to real life.
Comprehensive Doubles and Near Doubles Summary
Key Definitions and Concepts
  • Doubles: Addition facts where both addends are identical (e.g., 2+2, 3+3, 4+4). These facts follow the pattern n+n=2n and are foundational math facts that students should memorize.
  • Near Doubles: Addition facts where the two numbers differ by 1 (e.g., 2+3, 4+5, 6+7). These facts can be solved by using the closest doubles fact and adjusting by 1.
  • Doubles Strategy: A mental math technique that uses known doubles facts to solve addition problems efficiently. This strategy builds fluency and number sense.
  • Near Doubles Strategy: A mental math technique that uses doubles facts to solve problems with consecutive numbers by adding or subtracting 1 from the doubles result.
Core Rules and Principles
  • Doubles Rule: When both addends are the same, the sum is double the number (n+n=2n).
  • Near Doubles Rule: Use the closest doubles fact and adjust by the difference (if numbers differ by 1, add or subtract 1).
  • Pattern Recognition: Identifying when numbers are the same or consecutive.
  • Mental Math: Using known facts to solve unknown problems quickly.
Step-by-Step Methods
  1. Step 1: Look at both numbers in the addition problem.
  2. Step 2: Determine if they are the same (doubles) or differ by 1 (near doubles).
  3. Step 3: For doubles, double the number (multiply by 2).
  4. Step 4: For near doubles, think of the closest doubles fact.
  5. Step 5: Adjust by adding or subtracting the difference.
  6. Step 6: State the final answer.
Examples: Simple to Advanced
  • Simple Doubles: 1+1=2, 2+2=4, 3+3=6
  • Intermediate Doubles: 4+4=8, 5+5=10, 6+6=12
  • Advanced Doubles: 7+7=14, 8+8=16, 9+9=18
  • Near Doubles: 2+3=5 (think 2+2=4, then +1), 5+6=11 (think 5+5=10, then +1)
Tips, Tricks, and Common Pitfalls
  • Tip: Practice doubles facts daily until they become automatic.
  • Trick: Remember that doubles are like mirrors (same numbers).
  • Pitfall: Confusing doubles with other addition facts.
  • Warning: Don't try to use the strategy when numbers aren't consecutive.
Memorization Aids and Takeaways
  • Memory Aid: "Doubles are twins, they look the same!"
  • Takeaway 1: Doubles facts are building blocks for more complex math.
  • Takeaway 2: Near doubles use doubles as a stepping stone.
  • Takeaway 3: These strategies develop mental math skills.
Essential Doubles Components:

• Pattern Recognition: Identifying when numbers are the same or consecutive

• Mental Math: Using known facts to solve unknown problems

• Number Relationships: Understanding how numbers connect and relate

• Fluency: Automatic recall of basic addition facts

Questions & Answers

Question: I'm not sure if 3 + 4 is a double or near double. How can I tell the difference?

Answer: Great question! Here's how to tell the difference:

  • Doubles: Both numbers are exactly the same (like 3 + 3, 4 + 4, 5 + 5)
  • Near Doubles: Numbers are consecutive (next to each other) like 3 + 4, 4 + 5, 5 + 6

For 3 + 4: Since 3 and 4 are next to each other on the number line, this is a near double.

Think of it this way: doubles are "twins" (the same), and near doubles are "neighbors" (consecutive numbers).

For 3 + 4, you can think: "3 + 3 = 6, and 4 is 1 more than 3, so 6 + 1 = 7."

Question: How can I help my child practice doubles and near doubles at home?

Answer: Here are effective ways to practice at home:

  • Use everyday objects: Count pairs of socks, shoes, or toys to show doubles
  • Play games: Dice games where you add the numbers
  • Flashcards: Practice basic facts in short sessions
  • Real-world problems: "If you have 4 cookies and I give you 4 more, how many?"
  • Visual aids: Draw circles or use fingers to show equal groups

Focus on short, regular practice sessions (5-10 minutes daily) rather than long ones.

Make it fun with songs, rhymes, or physical activities to help with memorization.

Question: What are the benefits of mastering doubles and near doubles for first graders?

Answer: Mastering doubles and near doubles provides multiple benefits:

  • Builds fluency: Students develop automaticity with basic facts
  • Develops number sense: Students understand relationships between numbers
  • Improves mental math: Students learn to think flexibly about numbers
  • Creates problem-solving tools: Students learn to use known facts for unknown problems
  • Prepares for advanced math: Builds foundation for multi-digit addition

These strategies help students move beyond counting and develop efficient computational methods.

They also promote mathematical reasoning and pattern recognition skills that are essential for future math success.