Standard math drill sheet focusing on multiplying three-digit numbers by two-digit numbers.
Math worksheet featuring 3-digit by 2-digit multiplication problems for practice.
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Show Answer Key & Explanations
Step-by-step solution for: 6th Grade Math Worksheets Multiplication | Printable math ...
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Show Answer Key & Explanations
Step-by-step solution for: 6th Grade Math Worksheets Multiplication | Printable math ...
Let’s solve each multiplication problem one by one. I’ll show the steps clearly so you can follow along and check your own work.
We’re multiplying 3-digit numbers by 2-digit numbers. We’ll use the standard multiplication method: multiply by the ones digit first, then the tens digit (remembering to add a zero at the end), and then add the two results together.
---
1. 364 × 85
First, multiply 364 × 5 =
→ 4×5=20 → write 0, carry 2
→ 6×5=30 +2=32 → write 2, carry 3
→ 3×5=15 +3=18 → write 18
So: 1820
Now, multiply 364 × 80 (which is 364 × 8, then add a zero)
→ 4×8=32 → write 2, carry 3
→ 6×8=48 +3=51 → write 1, carry 5
→ 3×8=24 +5=29 → write 29 → then add zero → 29120
Add them:
1820
+29120
= 30940
✔ Check: 364 × 85 = 30940
---
2. 931 × 37
931 × 7 =
→ 1×7=7
→ 3×7=21 → write 1, carry 2
→ 9×7=63 +2=65 → 6517
931 × 30 = 931 × 3 = 2793 → add zero → 27930
Add:
6517
+27930
= 34447
✔ Check: 931 × 37 = 34447
---
3. 930 × 26
930 × 6 =
→ 0×6=0
→ 3×6=18 → write 8, carry 1
→ 9×6=54 +1=55 → 5580
930 × 20 = 930 × 2 = 1860 → add zero → 18600
Add:
5580
+18600
= 24180
✔ Check: 930 × 26 = 24180
---
4. 216 × 68
216 × 8 =
→ 6×8=48 → write 8, carry 4
→ 1×8=8 +4=12 → write 2, carry 1
→ 2×8=16 +1=17 → 1728
216 × 60 = 216 × 6 = 1296 → add zero → 12960
Add:
1728
+12960
= 14688
✔ Check: 216 × 68 = 14688
---
5. 195 × 47
195 × 7 =
→ 5×7=35 → write 5, carry 3
→ 9×7=63 +3=66 → write 6, carry 6
→ 1×7=7 +6=13 → 1365
195 × 40 = 195 × 4 = 780 → add zero → 7800
Add:
1365
+7800
= 9165
✔ Check: 195 × 47 = 9165
---
6. 539 × 41
539 × 1 = 539
539 × 40 = 539 × 4 = 2156 → add zero → 21560
Add:
539
+21560
= 22099
✔ Check: 539 × 41 = 22099
---
7. 307 × 21
307 × 1 = 307
307 × 20 = 307 × 2 = 614 → add zero → 6140
Add:
307
+6140
= 6447
✔ Check: 307 × 21 = 6447
---
8. 121 × 75
121 × 5 =
→ 1×5=5
→ 2×5=10 → write 0, carry 1
→ 1×5=5 +1=6 → 605
121 × 70 = 121 × 7 = 847 → add zero → 8470
Add:
605
+8470
= 9075
✔ Check: 121 × 75 = 9075
---
9. 193 × 98
193 × 8 =
→ 3×8=24 → write 4, carry 2
→ 9×8=72 +2=74 → write 4, carry 7
→ 1×8=8 +7=15 → 1544
193 × 90 = 193 × 9 = 1737 → add zero → 17370
Add:
1544
+17370
= 18914
✔ Check: 193 × 98 = 18914
---
10. 886 × 46
886 × 6 =
→ 6×6=36 → write 6, carry 3
→ 8×6=48 +3=51 → write 1, carry 5
→ 8×6=48 +5=53 → 5316
886 × 40 = 886 × 4 = 3544 → add zero → 35440
Add:
5316
+35440
= 40756
✔ Check: 886 × 46 = 40756
---
11. 214 × 36
214 × 6 =
→ 4×6=24 → write 4, carry 2
→ 1×6=6 +2=8
→ 2×6=12 → 1284
214 × 30 = 214 × 3 = 642 → add zero → 6420
Add:
1284
+6420
= 7704
✔ Check: 214 × 36 = 7704
---
12. 612 × 78
612 × 8 =
→ 2×8=16 → write 6, carry 1
→ 1×8=8 +1=9
→ 6×8=48 → 4896
612 × 70 = 612 × 7 = 4284 → add zero → 42840
Add:
4896
+42840
= 47736
✔ Check: 612 × 78 = 47736
---
13. 939 × 77
939 × 7 =
→ 9×7=63 → write 3, carry 6
→ 3×7=21 +6=27 → write 7, carry 2
→ 9×7=63 +2=65 → 6573
939 × 70 = same as above but add zero → 65730
Add:
6573
+65730
= 72303
✔ Check: 939 × 77 = 72303
---
14. 490 × 41
490 × 1 = 490
490 × 40 = 490 × 4 = 1960 → add zero → 19600
Add:
490
+19600
= 20090
✔ Check: 490 × 41 = 20090
---
15. 471 × 64
471 × 4 =
→ 1×4=4
→ 7×4=28 → write 8, carry 2
→ 4×4=16 +2=18 → 1884
471 × 60 = 471 × 6 = 2826 → add zero → 28260
Add:
1884
+28260
= 30144
✔ Check: 471 × 64 = 30144
---
16. 118 × 74
118 × 4 =
→ 8×4=32 → write 2, carry 3
→ 1×4=4 +3=7
→ 1×4=4 → 472
118 × 70 = 118 × 7 = 826 → add zero → 8260
Add:
472
+8260
= 8732
✔ Check: 118 × 74 = 8732
---
17. 315 × 71
315 × 1 = 315
315 × 70 = 315 × 7 = 2205 → add zero → 22050
Add:
315
+22050
= 22365
✔ Check: 315 × 71 = 22365
---
18. 145 × 60
This one is easy — just multiply 145 × 6 and add a zero.
145 × 6 =
→ 5×6=30 → write 0, carry 3
→ 4×6=24 +3=27 → write 7, carry 2
→ 1×6=6 +2=8 → 870 → add zero → 8700
✔ Check: 145 × 60 = 8700
---
19. 293 × 50
Multiply 293 × 5 = 1465 → add zero → 14650
✔ Check: 293 × 50 = 14650
---
20. 595 × 77
595 × 7 =
→ 5×7=35 → write 5, carry 3
→ 9×7=63 +3=66 → write 6, carry 6
→ 5×7=35 +6=41 → 4165
595 × 70 = same as above with zero → 41650
Add:
4165
+41650
= 45815
✔ Check: 595 × 77 = 45815
---
21. 771 × 45
771 × 5 =
→ 1×5=5
→ 7×5=35 → write 5, carry 3
→ 7×5=35 +3=38 → 3855
771 × 40 = 771 × 4 = 3084 → add zero → 30840
Add:
3855
+30840
= 34695
✔ Check: 771 × 45 = 34695
---
22. 439 × 58
439 × 8 =
→ 9×8=72 → write 2, carry 7
→ 3×8=24 +7=31 → write 1, carry 3
→ 4×8=32 +3=35 → 3512
439 × 50 = 439 × 5 = 2195 → add zero → 21950
Add:
3512
+21950
= 25462
✔ Check: 439 × 58 = 25462
---
23. 561 × 49
561 × 9 =
→ 1×9=9
→ 6×9=54 → write 4, carry 5
→ 5×9=45 +5=50 → 5049
561 × 40 = 561 × 4 = 2244 → add zero → 22440
Add:
5049
+22440
= 27489
✔ Check: 561 × 49 = 27489
---
24. 170 × 56
170 × 6 =
→ 0×6=0
→ 7×6=42 → write 2, carry 4
→ 1×6=6 +4=10 → 1020
170 × 50 = 170 × 5 = 850 → add zero → 8500
Add:
1020
+8500
= 9520
✔ Check: 170 × 56 = 9520
---
25. 935 × 63
935 × 3 =
→ 5×3=15 → write 5, carry 1
→ 3×3=9 +1=10 → write 0, carry 1
→ 9×3=27 +1=28 → 2805
935 × 60 = 935 × 6 = 5610 → add zero → 56100
Add:
2805
+56100
= 58905
✔ Check: 935 × 63 = 58905
---
Final Answer:
Here are all the answers in order:
1. 364 × 85 = 30940
2. 931 × 37 = 34447
3. 930 × 26 = 24180
4. 216 × 68 = 14688
5. 195 × 47 = 9165
6. 539 × 41 = 22099
7. 307 × 21 = 6447
8. 121 × 75 = 9075
9. 193 × 98 = 18914
10. 886 × 46 = 40756
11. 214 × 36 = 7704
12. 612 × 78 = 47736
13. 939 × 77 = 72303
14. 490 × 41 = 20090
15. 471 × 64 = 30144
16. 118 × 74 = 8732
17. 315 × 71 = 22365
18. 145 × 60 = 8700
19. 293 × 50 = 14650
20. 595 × 77 = 45815
21. 771 × 45 = 34695
22. 439 × 58 = 25462
23. 561 × 49 = 27489
24. 170 × 56 = 9520
25. 935 × 63 = 58905
We’re multiplying 3-digit numbers by 2-digit numbers. We’ll use the standard multiplication method: multiply by the ones digit first, then the tens digit (remembering to add a zero at the end), and then add the two results together.
---
1. 364 × 85
First, multiply 364 × 5 =
→ 4×5=20 → write 0, carry 2
→ 6×5=30 +2=32 → write 2, carry 3
→ 3×5=15 +3=18 → write 18
So: 1820
Now, multiply 364 × 80 (which is 364 × 8, then add a zero)
→ 4×8=32 → write 2, carry 3
→ 6×8=48 +3=51 → write 1, carry 5
→ 3×8=24 +5=29 → write 29 → then add zero → 29120
Add them:
1820
+29120
= 30940
✔ Check: 364 × 85 = 30940
---
2. 931 × 37
931 × 7 =
→ 1×7=7
→ 3×7=21 → write 1, carry 2
→ 9×7=63 +2=65 → 6517
931 × 30 = 931 × 3 = 2793 → add zero → 27930
Add:
6517
+27930
= 34447
✔ Check: 931 × 37 = 34447
---
3. 930 × 26
930 × 6 =
→ 0×6=0
→ 3×6=18 → write 8, carry 1
→ 9×6=54 +1=55 → 5580
930 × 20 = 930 × 2 = 1860 → add zero → 18600
Add:
5580
+18600
= 24180
✔ Check: 930 × 26 = 24180
---
4. 216 × 68
216 × 8 =
→ 6×8=48 → write 8, carry 4
→ 1×8=8 +4=12 → write 2, carry 1
→ 2×8=16 +1=17 → 1728
216 × 60 = 216 × 6 = 1296 → add zero → 12960
Add:
1728
+12960
= 14688
✔ Check: 216 × 68 = 14688
---
5. 195 × 47
195 × 7 =
→ 5×7=35 → write 5, carry 3
→ 9×7=63 +3=66 → write 6, carry 6
→ 1×7=7 +6=13 → 1365
195 × 40 = 195 × 4 = 780 → add zero → 7800
Add:
1365
+7800
= 9165
✔ Check: 195 × 47 = 9165
---
6. 539 × 41
539 × 1 = 539
539 × 40 = 539 × 4 = 2156 → add zero → 21560
Add:
539
+21560
= 22099
✔ Check: 539 × 41 = 22099
---
7. 307 × 21
307 × 1 = 307
307 × 20 = 307 × 2 = 614 → add zero → 6140
Add:
307
+6140
= 6447
✔ Check: 307 × 21 = 6447
---
8. 121 × 75
121 × 5 =
→ 1×5=5
→ 2×5=10 → write 0, carry 1
→ 1×5=5 +1=6 → 605
121 × 70 = 121 × 7 = 847 → add zero → 8470
Add:
605
+8470
= 9075
✔ Check: 121 × 75 = 9075
---
9. 193 × 98
193 × 8 =
→ 3×8=24 → write 4, carry 2
→ 9×8=72 +2=74 → write 4, carry 7
→ 1×8=8 +7=15 → 1544
193 × 90 = 193 × 9 = 1737 → add zero → 17370
Add:
1544
+17370
= 18914
✔ Check: 193 × 98 = 18914
---
10. 886 × 46
886 × 6 =
→ 6×6=36 → write 6, carry 3
→ 8×6=48 +3=51 → write 1, carry 5
→ 8×6=48 +5=53 → 5316
886 × 40 = 886 × 4 = 3544 → add zero → 35440
Add:
5316
+35440
= 40756
✔ Check: 886 × 46 = 40756
---
11. 214 × 36
214 × 6 =
→ 4×6=24 → write 4, carry 2
→ 1×6=6 +2=8
→ 2×6=12 → 1284
214 × 30 = 214 × 3 = 642 → add zero → 6420
Add:
1284
+6420
= 7704
✔ Check: 214 × 36 = 7704
---
12. 612 × 78
612 × 8 =
→ 2×8=16 → write 6, carry 1
→ 1×8=8 +1=9
→ 6×8=48 → 4896
612 × 70 = 612 × 7 = 4284 → add zero → 42840
Add:
4896
+42840
= 47736
✔ Check: 612 × 78 = 47736
---
13. 939 × 77
939 × 7 =
→ 9×7=63 → write 3, carry 6
→ 3×7=21 +6=27 → write 7, carry 2
→ 9×7=63 +2=65 → 6573
939 × 70 = same as above but add zero → 65730
Add:
6573
+65730
= 72303
✔ Check: 939 × 77 = 72303
---
14. 490 × 41
490 × 1 = 490
490 × 40 = 490 × 4 = 1960 → add zero → 19600
Add:
490
+19600
= 20090
✔ Check: 490 × 41 = 20090
---
15. 471 × 64
471 × 4 =
→ 1×4=4
→ 7×4=28 → write 8, carry 2
→ 4×4=16 +2=18 → 1884
471 × 60 = 471 × 6 = 2826 → add zero → 28260
Add:
1884
+28260
= 30144
✔ Check: 471 × 64 = 30144
---
16. 118 × 74
118 × 4 =
→ 8×4=32 → write 2, carry 3
→ 1×4=4 +3=7
→ 1×4=4 → 472
118 × 70 = 118 × 7 = 826 → add zero → 8260
Add:
472
+8260
= 8732
✔ Check: 118 × 74 = 8732
---
17. 315 × 71
315 × 1 = 315
315 × 70 = 315 × 7 = 2205 → add zero → 22050
Add:
315
+22050
= 22365
✔ Check: 315 × 71 = 22365
---
18. 145 × 60
This one is easy — just multiply 145 × 6 and add a zero.
145 × 6 =
→ 5×6=30 → write 0, carry 3
→ 4×6=24 +3=27 → write 7, carry 2
→ 1×6=6 +2=8 → 870 → add zero → 8700
✔ Check: 145 × 60 = 8700
---
19. 293 × 50
Multiply 293 × 5 = 1465 → add zero → 14650
✔ Check: 293 × 50 = 14650
---
20. 595 × 77
595 × 7 =
→ 5×7=35 → write 5, carry 3
→ 9×7=63 +3=66 → write 6, carry 6
→ 5×7=35 +6=41 → 4165
595 × 70 = same as above with zero → 41650
Add:
4165
+41650
= 45815
✔ Check: 595 × 77 = 45815
---
21. 771 × 45
771 × 5 =
→ 1×5=5
→ 7×5=35 → write 5, carry 3
→ 7×5=35 +3=38 → 3855
771 × 40 = 771 × 4 = 3084 → add zero → 30840
Add:
3855
+30840
= 34695
✔ Check: 771 × 45 = 34695
---
22. 439 × 58
439 × 8 =
→ 9×8=72 → write 2, carry 7
→ 3×8=24 +7=31 → write 1, carry 3
→ 4×8=32 +3=35 → 3512
439 × 50 = 439 × 5 = 2195 → add zero → 21950
Add:
3512
+21950
= 25462
✔ Check: 439 × 58 = 25462
---
23. 561 × 49
561 × 9 =
→ 1×9=9
→ 6×9=54 → write 4, carry 5
→ 5×9=45 +5=50 → 5049
561 × 40 = 561 × 4 = 2244 → add zero → 22440
Add:
5049
+22440
= 27489
✔ Check: 561 × 49 = 27489
---
24. 170 × 56
170 × 6 =
→ 0×6=0
→ 7×6=42 → write 2, carry 4
→ 1×6=6 +4=10 → 1020
170 × 50 = 170 × 5 = 850 → add zero → 8500
Add:
1020
+8500
= 9520
✔ Check: 170 × 56 = 9520
---
25. 935 × 63
935 × 3 =
→ 5×3=15 → write 5, carry 1
→ 3×3=9 +1=10 → write 0, carry 1
→ 9×3=27 +1=28 → 2805
935 × 60 = 935 × 6 = 5610 → add zero → 56100
Add:
2805
+56100
= 58905
✔ Check: 935 × 63 = 58905
---
Final Answer:
Here are all the answers in order:
1. 364 × 85 = 30940
2. 931 × 37 = 34447
3. 930 × 26 = 24180
4. 216 × 68 = 14688
5. 195 × 47 = 9165
6. 539 × 41 = 22099
7. 307 × 21 = 6447
8. 121 × 75 = 9075
9. 193 × 98 = 18914
10. 886 × 46 = 40756
11. 214 × 36 = 7704
12. 612 × 78 = 47736
13. 939 × 77 = 72303
14. 490 × 41 = 20090
15. 471 × 64 = 30144
16. 118 × 74 = 8732
17. 315 × 71 = 22365
18. 145 × 60 = 8700
19. 293 × 50 = 14650
20. 595 × 77 = 45815
21. 771 × 45 = 34695
22. 439 × 58 = 25462
23. 561 × 49 = 27489
24. 170 × 56 = 9520
25. 935 × 63 = 58905
Parent Tip: Review the logic above to help your child master the concept of printable math sheets for grade 6.