Chapter 11: Odd and Even Numbers
Learn Grade 2 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Odd and Even Numbers with simple explanations, visual thinking, worked examples, practice, and review.
11.1 Making pairs
Making pairs is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 17 and 12 to make a simple example about Making pairs.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making pairs.
Worked Example 2
Problem: Use 13 and 15 to make a simple example about Making pairs.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making pairs.
Worked Example 3
Problem: Use 6 and 10 to make a simple example about Making pairs.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making pairs.
Worked Example 4
Problem: Use 15 and 2 to make a simple example about Making pairs.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making pairs.
Worked Example 5
Problem: Use 9 and 17 to make a simple example about Making pairs.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making pairs.
Worked Example 6
Problem: Use 19 and 7 to make a simple example about Making pairs.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making pairs.
Worked Example 7
Problem: Use 19 and 16 to make a simple example about Making pairs.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making pairs.
Worked Example 8
Problem: Use 19 and 7 to make a simple example about Making pairs.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making pairs.
Worked Example 9
Problem: Use 3 and 6 to make a simple example about Making pairs.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making pairs.
Worked Example 10
Problem: Use 5 and 4 to make a simple example about Making pairs.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Making pairs.
11.2 Even numbers
Even numbers make complete pairs. Odd numbers leave one item without a partner. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Is 9 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 2
Problem: Is 95 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 3
Problem: Is 31 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 4
Problem: Is 72 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 5
Problem: Is 37 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 6
Problem: Is 49 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 7
Problem: Is 40 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 8
Problem: Is 49 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 9
Problem: Is 99 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 10
Problem: Is 80 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
11.3 Odd numbers
Even numbers make complete pairs. Odd numbers leave one item without a partner. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Is 97 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 2
Problem: Is 8 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 3
Problem: Is 56 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 4
Problem: Is 61 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 5
Problem: Is 24 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 6
Problem: Is 58 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 7
Problem: Is 42 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 8
Problem: Is 24 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 9
Problem: Is 72 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 10
Problem: Is 33 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
11.4 Recognizing even numbers with objects
Even numbers make complete pairs. Odd numbers leave one item without a partner. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Is 57 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 2
Problem: Is 18 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 3
Problem: Is 34 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 4
Problem: Is 70 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 5
Problem: Is 49 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 6
Problem: Is 43 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 7
Problem: Is 100 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 8
Problem: Is 64 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 9
Problem: Is 95 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 10
Problem: Is 48 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
11.5 Recognizing odd numbers with objects
Even numbers make complete pairs. Odd numbers leave one item without a partner. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Is 74 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 2
Problem: Is 56 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 3
Problem: Is 72 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 4
Problem: Is 12 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 5
Problem: Is 99 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 6
Problem: Is 39 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 7
Problem: Is 33 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 8
Problem: Is 65 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 9
Problem: Is 93 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 10
Problem: Is 22 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
11.6 Even numbers on a hundreds chart
Place value tells how much a digit is worth because of its position in a number. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: How many hundreds, tens, and ones are in 102?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 0 tens, 2 ones
Worked Example 2
Problem: How many hundreds, tens, and ones are in 163?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 6 tens, 3 ones
Worked Example 3
Problem: How many hundreds, tens, and ones are in 124?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 2 tens, 4 ones
Worked Example 4
Problem: How many hundreds, tens, and ones are in 163?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 6 tens, 3 ones
Worked Example 5
Problem: How many hundreds, tens, and ones are in 185?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 8 tens, 5 ones
Worked Example 6
Problem: How many hundreds, tens, and ones are in 165?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 6 tens, 5 ones
Worked Example 7
Problem: How many hundreds, tens, and ones are in 195?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 9 tens, 5 ones
Worked Example 8
Problem: How many hundreds, tens, and ones are in 118?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 1 tens, 8 ones
Worked Example 9
Problem: How many hundreds, tens, and ones are in 152?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 5 tens, 2 ones
Worked Example 10
Problem: How many hundreds, tens, and ones are in 112?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 1 tens, 2 ones
11.7 Odd numbers on a hundreds chart
Place value tells how much a digit is worth because of its position in a number. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: How many hundreds, tens, and ones are in 188?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 8 tens, 8 ones
Worked Example 2
Problem: How many hundreds, tens, and ones are in 113?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 1 tens, 3 ones
Worked Example 3
Problem: How many hundreds, tens, and ones are in 197?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 9 tens, 7 ones
Worked Example 4
Problem: How many hundreds, tens, and ones are in 115?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 1 tens, 5 ones
Worked Example 5
Problem: How many hundreds, tens, and ones are in 161?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 6 tens, 1 ones
Worked Example 6
Problem: How many hundreds, tens, and ones are in 162?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 6 tens, 2 ones
Worked Example 7
Problem: How many hundreds, tens, and ones are in 177?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 7 tens, 7 ones
Worked Example 8
Problem: How many hundreds, tens, and ones are in 126?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 2 tens, 6 ones
Worked Example 9
Problem: How many hundreds, tens, and ones are in 131?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 3 tens, 1 ones
Worked Example 10
Problem: How many hundreds, tens, and ones are in 178?
- Read the hundreds digit.
- Read the tens digit.
- Read the ones digit.
Very beginner explanation: Position tells place value.
Answer: 1 hundred, 7 tens, 8 ones
11.8 Adding pairs
Addition combines quantities. Counting on, making ten, drawings, and place value can help. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Find 43 + 4.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 47
Worked Example 2
Problem: Find 38 + 38.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 76
Worked Example 3
Problem: Find 11 + 9.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 20
Worked Example 4
Problem: Find 29 + 11.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 40
Worked Example 5
Problem: Find 68 + 48.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 116
Worked Example 6
Problem: Find 63 + 68.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 131
Worked Example 7
Problem: Find 33 + 42.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 75
Worked Example 8
Problem: Find 55 + 39.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 94
Worked Example 9
Problem: Find 9 + 44.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 53
Worked Example 10
Problem: Find 13 + 9.
- Start with the larger number.
- Add tens or make a ten if helpful.
- Add the remaining ones.
Very beginner explanation: Addition combines quantities.
Answer: 22
11.9 Sharing even quantities into pairs
Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: 9 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 2
Problem: 3 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 3
Problem: 8 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 4
Problem: 12 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 5
Problem: 16 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 6
Problem: 2 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 7
Problem: 9 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 8
Problem: 8 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 9
Problem: 12 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 10
Problem: 4 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
11.10 Finding the next even number
Even numbers make complete pairs. Odd numbers leave one item without a partner. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Is 28 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 2
Problem: Is 82 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 3
Problem: Is 77 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 4
Problem: Is 27 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 5
Problem: Is 22 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 6
Problem: Is 9 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 7
Problem: Is 27 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 8
Problem: Is 59 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 9
Problem: Is 9 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 10
Problem: Is 95 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
11.11 Finding the next odd number
Even numbers make complete pairs. Odd numbers leave one item without a partner. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Is 92 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 2
Problem: Is 31 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 3
Problem: Is 1 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 4
Problem: Is 25 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 5
Problem: Is 22 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 6
Problem: Is 57 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 7
Problem: Is 31 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 8
Problem: Is 35 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 9
Problem: Is 72 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 10
Problem: Is 74 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
11.12 Odd and even in real life
Even numbers make complete pairs. Odd numbers leave one item without a partner. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Is 78 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 2
Problem: Is 59 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 3
Problem: Is 19 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 4
Problem: Is 72 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 5
Problem: Is 81 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 6
Problem: Is 25 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 7
Problem: Is 40 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 8
Problem: Is 90 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: even
Worked Example 9
Problem: Is 77 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
Worked Example 10
Problem: Is 63 odd or even?
- Make pairs.
- If none are left over, it is even.
Very beginner explanation: Pairing tests odd and even numbers.
Answer: odd
30 Review Questions and Answers
Q1. What should a Grade 2 learner understand about Making pairs?
Answer: Making pairs is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q2. What should a Grade 2 learner understand about Even numbers?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q3. What should a Grade 2 learner understand about Odd numbers?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q4. What should a Grade 2 learner understand about Recognizing even numbers with objects?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q5. What should a Grade 2 learner understand about Recognizing odd numbers with objects?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q6. What should a Grade 2 learner understand about Even numbers on a hundreds chart?
Answer: Place value tells how much a digit is worth because of its position in a number.
Q7. What should a Grade 2 learner understand about Odd numbers on a hundreds chart?
Answer: Place value tells how much a digit is worth because of its position in a number.
Q8. What should a Grade 2 learner understand about Adding pairs?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.
Q9. What should a Grade 2 learner understand about Sharing even quantities into pairs?
Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.
Q10. What should a Grade 2 learner understand about Finding the next even number?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q11. What should a Grade 2 learner understand about Finding the next odd number?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q12. What should a Grade 2 learner understand about Odd and even in real life?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q13. What should a Grade 2 learner understand about Making pairs?
Answer: Making pairs is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q14. What should a Grade 2 learner understand about Even numbers?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q15. What should a Grade 2 learner understand about Odd numbers?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q16. What should a Grade 2 learner understand about Recognizing even numbers with objects?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q17. What should a Grade 2 learner understand about Recognizing odd numbers with objects?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q18. What should a Grade 2 learner understand about Even numbers on a hundreds chart?
Answer: Place value tells how much a digit is worth because of its position in a number.
Q19. What should a Grade 2 learner understand about Odd numbers on a hundreds chart?
Answer: Place value tells how much a digit is worth because of its position in a number.
Q20. What should a Grade 2 learner understand about Adding pairs?
Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.
Q21. What should a Grade 2 learner understand about Sharing even quantities into pairs?
Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.
Q22. What should a Grade 2 learner understand about Finding the next even number?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q23. What should a Grade 2 learner understand about Finding the next odd number?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q24. What should a Grade 2 learner understand about Odd and even in real life?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q25. What should a Grade 2 learner understand about Making pairs?
Answer: Making pairs is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q26. What should a Grade 2 learner understand about Even numbers?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q27. What should a Grade 2 learner understand about Odd numbers?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q28. What should a Grade 2 learner understand about Recognizing even numbers with objects?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q29. What should a Grade 2 learner understand about Recognizing odd numbers with objects?
Answer: Even numbers make complete pairs. Odd numbers leave one item without a partner.
Q30. What should a Grade 2 learner understand about Even numbers on a hundreds chart?
Answer: Place value tells how much a digit is worth because of its position in a number.