Year 5 Maths: Dividing by a Single Digit Integer

Introduction to Division

Hello, Year 5! Today, we are going to learn about dividing by a single-digit integer. Division is like sharing something equally. For example, if you have 10 sweets and want to share them with 2 friends, how many sweets does each friend get? That’s division!

What is Division?

When we divide, we are splitting a number into smaller parts. The number we start with is called the dividend, the number we are dividing by is called the divisor, and the answer we get is called the quotient.

Key Terms

• Dividend: The number we are dividing.
• Divisor: The number we are dividing by (this is a single-digit integer).
• Quotient: The result of the division.

Example

Let’s look at an example:

If we divide 12 by 3:

$$

12 \div 3 = 4

$$

Here, 12 is the dividend, 3 is the divisor, and 4 is the quotient. This means if you have 12 sweets and share them with 3 friends, each person gets 4 sweets.

Key Rules for Division

1. Dividing by 1: Any number divided by 1 is the number itself.
   • Example: $$15 \div 1 = 15$$
2. Dividing by the same number: Any number divided by itself is 1.
   • Example: $$7 \div 7 = 1$$
3. Dividing by 0: You cannot divide by 0. This is not possible!
4. Remainders: Sometimes, when you divide, you may not get a whole number. This is called a remainder.
   • Example: $$10 \div 3 = 3 \text{ remainder } 1$$ (because 3 goes into 10 three times with 1 left over)

Tips and Tricks

• Use Times Tables: Knowing your times tables can help you divide quickly. For example, if you know that $$3 \times 4 = 12$$ , you can easily see that $$12 \div 3 = 4$$ .
• Estimate First: Before dividing, try to estimate the answer. This will help you check if your final answer is reasonable.
• Draw a Picture: Sometimes drawing a picture or using objects can help you understand how to divide.

Practice Questions

Now, let’s practice dividing by single-digit integers.

Easy Level Questions

1. $$8 \div 2 = ?$$
2. $$15 \div 3 = ?$$
3. $$20 \div 4 = ?$$
4. $$9 \div 3 = ?$$
5. $$16 \div 4 = ?$$
6. $$12 \div 6 = ?$$
7. $$10 \div 2 = ?$$
8. $$18 \div 2 = ?$$
9. $$21 \div 7 = ?$$
10. $$27 \div 3 = ?$$
11. $$6 \div 2 = ?$$
12. $$24 \div 6 = ?$$
13. $$30 \div 5 = ?$$
14. $$14 \div 2 = ?$$
15. $$40 \div 8 = ?$$
16. $$25 \div 5 = ?$$
17. $$36 \div 6 = ?$$
18. $$32 \div 4 = ?$$
19. $$4 \div 2 = ?$$
20. $$50 \div 10 = ?$$

Medium Level Questions

1. $$45 \div 5 = ?$$
2. $$56 \div 7 = ?$$
3. $$63 \div 9 = ?$$
4. $$72 \div 8 = ?$$
5. $$81 \div 3 = ?$$
6. $$54 \div 6 = ?$$
7. $$90 \div 10 = ?$$
8. $$99 \div 11 = ?$$
9. $$80 \div 4 = ?$$
10. $$88 \div 8 = ?$$
11. $$28 \div 4 = ?$$
12. $$75 \div 5 = ?$$
13. $$39 \div 3 = ?$$
14. $$66 \div 6 = ?$$
15. $$42 \div 6 = ?$$
16. $$27 \div 3 = ?$$
17. $$36 \div 4 = ?$$
18. $$48 \div 8 = ?$$
19. $$33 \div 3 = ?$$
20. $$60 \div 5 = ?$$

Hard Level Questions

1. $$121 \div 11 = ?$$
2. $$144 \div 12 = ?$$
3. $$198 \div 9 = ?$$
4. $$175 \div 7 = ?$$
5. $$252 \div 9 = ?$$
6. $$324 \div 18 = ?$$
7. $$360 \div 12 = ?$$
8. $$450 \div 15 = ?$$
9. $$196 \div 14 = ?$$
10. $$280 \div 20 = ?$$
11. $$123 \div 3 = ?$$
12. $$189 \div 3 = ?$$
13. $$392 \div 7 = ?$$
14. $$468 \div 6 = ?$$
15. $$550 \div 11 = ?$$
16. $$630 \div 10 = ?$$
17. $$720 \div 8 = ?$$
18. $$810 \div 9 = ?$$
19. $$900 \div 30 = ?$$
20. $$990 \div 11 = ?$$

Answers

Easy Level Answers

1. 4
2. 5
3. 5
4. 3
5. 4
6. 2
7. 5
8. 9
9. 3
10. 9
11. 3
12. 4
13. 6
14. 7
15. 5
16. 5
17. 6
18. 8
19. 2
20. 5

Medium Level Answers

1. 9
2. 8
3. 7
4. 9
5. 27
6. 9
7. 9
8. 9
9. 20
10. 11
11. 7
12. 15
13. 13
14. 11
15. 7
16. 9
17. 9
18. 6
19. 11
20. 12

Hard Level Answers

1. 11
2. 12
3. 22
4. 25
5. 28
6. 18
7. 30
8. 30
9. 14
10. 14
11. 41
12. 63
13. 56
14. 78
15. 50
16. 63
17. 90
18. 90
19. 30
20. 90

Great job, Year 5! Keep practicing your division skills, and you’ll become a division master in no time!