Step-by-step Maths Level 3: Odd and even totals
Part of the Step-by-step Maths Level 3 multiplication as repeated addition chapter. Chapter overview · whole chapter on one page
Odd and even totals
Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.
Find the total of the equal groups, then look at its last digit.
Key ideas
- Even numbers end in 0, 2, 4, 6 or 8.
- Odd numbers end in 1, 3, 5, 7 or 9.
- An even number can be shared into two equal groups.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.3 + 3 + 3 + 3 = 12
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.12 ends in 2
- Write the answer. 12 is even.even
Check. Share 12 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.5 + 5 + 5 = 15
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.15 ends in 5
- Write the answer. 15 is odd.odd
Check. Share 15 into two equal groups: no, one is left over.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.3 + 3 + 3 + 3 + 3 + 3 = 18
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.18 ends in 8
- Write the answer. 18 is even.even
Check. Share 18 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.
Watch out
Watch out. 3 groups of 5 is 15, which is odd, not even. Check the last digit of the total.
Exam tip
Grown-up tip. Ask: “Can you share the total into two equal piles with none left over?”
Exercise 6D Practice: odd and even totals
Non-calculatorMethod. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.2 + 2 + 2 = 6
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.6 ends in 6
- Write the answer. 6 is even.even
Check. Share 6 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.3 + 3 + 3 + 3 + 3 + 3 = 18
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.18 ends in 8
- Write the answer. 18 is even.even
Check. Share 18 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.5 + 5 + 5 = 15
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.15 ends in 5
- Write the answer. 15 is odd.odd
Check. Share 15 into two equal groups: no, one is left over.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.4 + 4 + 4 = 12
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.12 ends in 2
- Write the answer. 12 is even.even
Check. Share 12 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.6 + 6 = 12
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.12 ends in 2
- Write the answer. 12 is even.even
Check. Share 12 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.3 + 3 + 3 + 3 + 3 = 15
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.15 ends in 5
- Write the answer. 15 is odd.odd
Check. Share 15 into two equal groups: no, one is left over.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.6 + 6 + 6 = 18
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.18 ends in 8
- Write the answer. 18 is even.even
Check. Share 18 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.2 + 2 + 2 + 2 = 8
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.8 ends in 8
- Write the answer. 8 is even.even
Check. Share 8 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.6 + 6 + 6 + 6 + 6 = 30
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.30 ends in 0
- Write the answer. 30 is even.even
Check. Share 30 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.3 + 3 = 6
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.6 ends in 6
- Write the answer. 6 is even.even
Check. Share 6 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.6 + 6 + 6 + 6 = 24
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.24 ends in 4
- Write the answer. 24 is even.even
Check. Share 24 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.5 + 5 = 10
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.10 ends in 0
- Write the answer. 10 is even.even
Check. Share 10 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.3 + 3 + 3 = 9
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.9 ends in 9
- Write the answer. 9 is odd.odd
Check. Share 9 into two equal groups: no, one is left over.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.3 + 3 + 3 + 3 = 12
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.12 ends in 2
- Write the answer. 12 is even.even
Check. Share 12 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.5 + 5 + 5 + 5 + 5 = 25
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.25 ends in 5
- Write the answer. 25 is odd.odd
Check. Share 25 into two equal groups: no, one is left over.
Watch out. An even number can be shared into two equal groups with none left over.
Method. Find the total, then look at its last digit.
- Work out the total. Use repeated addition or multiplication.4 + 4 + 4 + 4 + 4 + 4 = 24
- Look at the last digit. Even numbers end in 0, 2, 4, 6 or 8. Odd numbers end in 1, 3, 5, 7 or 9.24 ends in 4
- Write the answer. 24 is even.even
Check. Share 24 into two equal groups: yes, with none left.
Watch out. An even number can be shared into two equal groups with none left over.