Year 6 Maths: Multiplication by Two-Digit Numbers

Introduction to Multiplication by Two-Digit Numbers

Hello Year 6! Today we’re going to learn how to multiply by two-digit numbers. This might seem tricky at first, but with practice, you will get the hang of it. Let’s break it down into simple steps.

Understanding the Basics

When we multiply, we are adding a number to itself a certain number of times. For example, if we multiply 3 by 4 (written as $$3 \times 4$$), it’s the same as saying “3 added together 4 times”:

$$3 + 3 + 3 + 3 = 12$$

What is a Two-Digit Number?

A two-digit number is any number that has two digits, like 12, 34, or 57.

How to Multiply by a Two-Digit Number

Let’s use an example to make it clearer. We will multiply 23 by 15.

Step 1: Break It Down

1. Break down the two-digit number into tens and units.
   • 15 is the same as 10 + 5.
2. Use the distributive property.
   • We can think of our problem as:
   $$ 23 \times (10 + 5) $$
3. Multiply 23 by each part.
   • First, multiply 23 by 10:
   $$ 23 \times 10 = 230 $$
   • Then multiply 23 by 5:
   $$ 23 \times 5 = 115 $$

Step 2: Add the Results

Now, we add the two results together:

$$ 230 + 115 = 345 $$

So, $$ 23 \times 15 = 345 $$.

Key Rules and Tips

1. Break it down into smaller parts: Always split the two-digit number into tens and units.
2. Keep your work neat: Write down each step clearly to avoid confusion.
3. Double-check your addition: After multiplying, make sure to add correctly.
4. Practice makes perfect: The more you practice, the easier it gets!

Questions

Easy Level Questions

1. What is $$12 \times 10$$?
2. What is $$14 \times 2$$?
3. What is $$23 \times 1$$?
4. What is $$20 \times 3$$?
5. What is $$15 \times 0$$?
6. What is $$11 \times 5$$?
7. What is $$30 \times 2$$?
8. What is $$25 \times 1$$?
9. What is $$40 \times 3$$?
10. What is $$13 \times 2$$?
11. What is $$12 \times 5$$?
12. What is $$10 \times 9$$?
13. What is $$14 \times 3$$?
14. What is $$16 \times 1$$?
15. What is $$22 \times 2$$?
16. What is $$18 \times 2$$?
17. What is $$20 \times 1$$?
18. What is $$17 \times 3$$?
19. What is $$15 \times 1$$?
20. What is $$19 \times 0$$?

Medium Level Questions

1. What is $$24 \times 12$$?
2. What is $$33 \times 21$$?
3. What is $$15 \times 14$$?
4. What is $$42 \times 23$$?
5. What is $$36 \times 15$$?
6. What is $$27 \times 13$$?
7. What is $$31 \times 22$$?
8. What is $$18 \times 11$$?
9. What is $$29 \times 14$$?
10. What is $$25 \times 19$$?
11. What is $$30 \times 34$$?
12. What is $$13 \times 25$$?
13. What is $$16 \times 29$$?
14. What is $$22 \times 15$$?
15. What is $$11 \times 34$$?
16. What is $$12 \times 23$$?
17. What is $$17 \times 22$$?
18. What is $$25 \times 33$$?
19. What is $$14 \times 27$$?
20. What is $$19 \times 24$$?

Hard Level Questions

1. What is $$56 \times 27$$?
2. What is $$48 \times 36$$?
3. What is $$63 \times 14$$?
4. What is $$72 \times 59$$?
5. What is $$85 \times 32$$?
6. What is $$91 \times 48$$?
7. What is $$77 \times 25$$?
8. What is $$64 \times 42$$?
9. What is $$39 \times 89$$?
10. What is $$52 \times 76$$?
11. What is $$27 \times 58$$?
12. What is $$34 \times 63$$?
13. What is $$29 \times 47$$?
14. What is $$73 \times 38$$?
15. What is $$81 \times 14$$?
16. What is $$56 \times 28$$?
17. What is $$66 \times 33$$?
18. What is $$44 \times 77$$?
19. What is $$38 \times 29$$?
20. What is $$90 \times 14$$?

Answers

Easy Level Answers

1. 120
2. 28
3. 23
4. 60
5. 0
6. 55
7. 60
8. 25
9. 120
10. 26
11. 60
12. 90
13. 42
14. 16
15. 44
16. 36
17. 20
18. 51
19. 15
20. 0

Medium Level Answers

1. 288
2. 693
3. 210
4. 966
5. 540
6. 351
7. 682
8. 198
9. 406
10. 475
11. 1020
12. 325
13. 464
14. 330
15. 374
16. 276
17. 374
18. 825
19. 378
20. 456

Hard Level Answers

1. 1512
2. 1728
3. 882
4. 4248
5. 2720
6. 4368
7. 1925
8. 2688
9. 3471
10. 3952
11. 1566
12. 2142
13. 1363
14. 2774
15. 1134
16. 1568
17. 2178
18. 3388
19. 1102
20. 1260

I hope this helps you understand multiplication by two-digit numbers better! Keep practicing, and you’ll become a multiplication pro in no time!