CBSE Class 3 Maths Substraction Question Bank - Free Printable
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Step-by-step solution for: CBSE Class 3 Maths Substraction Question Bank
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Show Answer Key & Explanations
Step-by-step solution for: CBSE Class 3 Maths Substraction Question Bank
Let’s solve each problem step by step. I’ll go through all parts carefully and check my work before giving the final answers.
---
1. Subtract (column subtraction)
We are given numbers with place values: Th = Thousands, H = Hundreds, T = Tens, O = Ones.
We subtract digit by digit from right to left (Ones → Tens → Hundreds → Thousands), borrowing if needed.
---
a. 8235 – 4020
```
8 2 3 5
– 4 0 2 0
---------
4 2 1 5
```
Check:
5 – 0 = 5
3 – 2 = 1
2 – 0 = 2
8 – 4 = 4
→ 4215
---
b. 6978 – 1756
```
6 9 7 8
– 1 7 5 6
---------
5 2 2 2
```
Check:
8 – 6 = 2
7 – 5 = 2
9 – 7 = 2
6 – 1 = 5
→ 5222
---
c. 9872 – 5340
```
9 8 7 2
– 5 3 4 0
---------
4 5 3 2
```
Check:
2 – 0 = 2
7 – 4 = 3
8 – 3 = 5
9 – 5 = 4
→ 4532
---
d. 6025 – 3948
This needs borrowing!
Start from ones:
5 – 8 → can’t do → borrow from tens. But tens is 2 → so borrow from hundreds. Hundreds is 0 → borrow from thousands.
So:
Thousands: 6 becomes 5
Hundreds: 0 becomes 10 → but we need to lend to tens → so hundreds become 9, tens become 12
Tens: 12 → lend 1 to ones → tens become 11, ones become 15
Now:
Ones: 15 – 8 = 7
Tens: 11 – 4 = 7
Hundreds: 9 – 9 = 0
Thousands: 5 – 3 = 2
Wait — let me write it clearly:
Original:
6 0 2 5
– 3 9 4 8
Borrowing steps:
- Ones column: 5 < 8 → borrow from tens. Tens is 2 → not enough → borrow from hundreds. Hundreds is 0 → borrow from thousands.
So:
Thousands: 6 → 5
Hundreds: 0 → 10 → then lend 1 to tens → becomes 9
Tens: 2 → becomes 12 → then lend 1 to ones → becomes 11
Ones: 5 → becomes 15
Now subtract:
Ones: 15 – 8 = 7
Tens: 11 – 4 = 7
Hundreds: 9 – 9 = 0
Thousands: 5 – 3 = 2
→ 2077
Double-check: 3948 + 2077 = ?
3948 + 2000 = 5948
5948 + 77 = 6025 ✔ Correct.
---
e. 5002 – 1835
Again, borrowing needed.
Write:
5 0 0 2
– 1 8 3 5
Ones: 2 < 5 → borrow from tens → tens is 0 → borrow from hundreds → hundreds is 0 → borrow from thousands.
Thousands: 5 → 4
Hundreds: 0 → 10 → lend to tens → becomes 9
Tens: 0 → becomes 10 → lend to ones → becomes 9
Ones: 2 → becomes 12
Now:
Ones: 12 – 5 = 7
Tens: 9 – 3 = 6
Hundreds: 9 – 8 = 1
Thousands: 4 – 1 = 3
→ 3167
Check: 1835 + 3167 = ?
1835 + 3000 = 4835
4835 + 167 = 5002 ✔ Correct.
---
f. 4070 – 1796
4 0 7 0
– 1 7 9 6
Ones: 0 < 6 → borrow from tens → tens is 7 → okay.
Tens: 7 → becomes 6
Ones: 0 → becomes 10
Ones: 10 – 6 = 4
Tens: 6 – 9 → can’t → borrow from hundreds → hundreds is 0 → borrow from thousands.
Thousands: 4 → 3
Hundreds: 0 → 10 → lend to tens → becomes 9
Tens: 6 → becomes 16
Now:
Tens: 16 – 9 = 7
Hundreds: 9 – 7 = 2
Thousands: 3 – 1 = 2
→ 2274
Check: 1796 + 2274 = ?
1796 + 2000 = 3796
3796 + 274 = 4070 ✔ Correct.
---
Summary for Q1:
a. 4215
b. 5222
c. 4532
d. 2077
e. 3167
f. 2274
---
2. Write in columns and find the difference.
“Write in columns” means set up vertical subtraction.
---
a. 985 from 1260 → 1260 – 985
1 2 6 0
– 9 8 5
----------
Align right:
1 2 6 0
– 9 8 5
= ?
Ones: 0 – 5 → borrow → tens is 6 → becomes 5, ones becomes 10 → 10 – 5 = 5
Tens: 5 – 8 → can’t → borrow from hundreds → hundreds is 2 → becomes 1, tens becomes 15 → 15 – 8 = 7
Hundreds: 1 – 9 → can’t → borrow from thousands → thousands is 1 → becomes 0, hundreds becomes 11 → 11 – 9 = 2
Thousands: 0 – 0 = 0
→ 275
Check: 985 + 275 = 1260 ✔
---
b. 7777 from 8030 → 8030 – 7777
8 0 3 0
– 7 7 7 7
----------
Ones: 0 – 7 → borrow → tens is 3 → becomes 2, ones becomes 10 → 10 – 7 = 3
Tens: 2 – 7 → borrow → hundreds is 0 → borrow from thousands → thousands 8 → 7, hundreds 0 → 10 → lend to tens → hundreds 9, tens 12 → 12 – 7 = 5
Hundreds: 9 – 7 = 2
Thousands: 7 – 7 = 0
→ 253
Check: 7777 + 253 = 8030 ✔
---
c. 1605 from 3918 → 3918 – 1605
3 9 1 8
– 1 6 0 5
----------
Ones: 8 – 5 = 3
Tens: 1 – 0 = 1
Hundreds: 9 – 6 = 3
Thousands: 3 – 1 = 2
→ 2313
Check: 1605 + 2313 = 3918 ✔
---
d. 478 from 1589 → 1589 – 478
1 5 8 9
– 4 7 8
----------
Ones: 9 – 8 = 1
Tens: 8 – 7 = 1
Hundreds: 5 – 4 = 1
Thousands: 1 – 0 = 1
→ 1111
Check: 478 + 1111 = 1589 ✔
---
Summary for Q2:
a. 275
b. 253
c. 2313
d. 1111
---
3. Find the difference between
Difference means subtract smaller from larger.
---
a. 6417 and 9002 → 9002 – 6417
9 0 0 2
– 6 4 1 7
----------
Ones: 2 – 7 → borrow → tens 0 → borrow from hundreds → hundreds 0 → borrow from thousands.
Thousands: 9 → 8
Hundreds: 0 → 10 → lend to tens → 9
Tens: 0 → 10 → lend to ones → 9
Ones: 2 → 12
Ones: 12 – 7 = 5
Tens: 9 – 1 = 8
Hundreds: 9 – 4 = 5
Thousands: 8 – 6 = 2
→ 2585
Check: 6417 + 2585 = 9002 ✔
---
b. 3085 and 3058 → 3085 – 3058
3 0 8 5
– 3 0 5 8
----------
Ones: 5 – 8 → borrow → tens 8 → becomes 7, ones 15 → 15 – 8 = 7
Tens: 7 – 5 = 2
Hundreds: 0 – 0 = 0
Thousands: 3 – 3 = 0
→ 27
Check: 3058 + 27 = 3085 ✔
---
Summary for Q3:
a. 2585
b. 27
---
4. Subtract and check by addition
Do subtraction, then add result to subtrahend to see if you get minuend.
---
a. 1728 from 3519 → 3519 – 1728
3 5 1 9
– 1 7 2 8
----------
Ones: 9 – 8 = 1
Tens: 1 – 2 → borrow → hundreds 5 → 4, tens 11 → 11 – 2 = 9
Hundreds: 4 – 7 → borrow → thousands 3 → 2, hundreds 14 → 14 – 7 = 7
Thousands: 2 – 1 = 1
→ 1791
Check: 1728 + 1791 = ?
1728 + 1700 = 3428
3428 + 91 = 3519 ✔
---
b. 3458 from 6001 → 6001 – 3458
6 0 0 1
– 3 4 5 8
----------
Ones: 1 – 8 → borrow → tens 0 → borrow from hundreds → hundreds 0 → borrow from thousands.
Thousands: 6 → 5
Hundreds: 0 → 10 → lend to tens → 9
Tens: 0 → 10 → lend to ones → 9
Ones: 1 → 11
Ones: 11 – 8 = 3
Tens: 9 – 5 = 4
Hundreds: 9 – 4 = 5
Thousands: 5 – 3 = 2
→ 2543
Check: 3458 + 2543 = ?
3458 + 2500 = 5958
5958 + 43 = 6001 ✔
---
c. 1796 from 4070 → 4070 – 1796
Same as Q1f → we did this already!
→ 2274
Check: 1796 + 2274 = 4070 ✔
---
d. 3948 from 6025 → 6025 – 3948
Same as Q1d → we did this!
→ 2077
Check: 3948 + 2077 = 6025 ✔
---
Summary for Q4:
a. 1791
b. 2543
c. 2274
d. 2077
---
5. Simplify
These are multi-step additions and subtractions. Do left to right unless parentheses (none here).
---
a. 1052 + 964 – 3358 + 1426
Step-by-step:
First: 1052 + 964 = 2016
Then: 2016 – 3358 = negative? Let's compute:
3358 – 2016 = 1342 → so 2016 – 3358 = -1342
Then: -1342 + 1426 = 1426 – 1342 = 84
Alternatively, group positives and negatives:
Positives: 1052 + 964 + 1426 = ?
1052 + 964 = 2016
2016 + 1426 = 3442
Negatives: 3358
So: 3442 – 3358 = 84
✔ 84
---
b. 4115 + 2121 – 3495 – 849
Group positives: 4115 + 2121 = 6236
Group negatives: 3495 + 849 = 4344
Then: 6236 – 4344 = ?
6236 – 4000 = 2236
2236 – 344 = 1892
Or directly:
6236
–4344
------
1892
✔ 1892
---
c. 8325 + 1112 – 1000
First: 8325 + 1112 = 9437
Then: 9437 – 1000 = 8437
✔ 8437
---
d. 2513 – 589 + 732 – 1067
Left to right:
2513 – 589 = ?
2513 – 500 = 2013
2013 – 89 = 1924
Then: 1924 + 732 = 2656
Then: 2656 – 1067 = ?
2656 – 1000 = 1656
1656 – 67 = 1589
Alternatively, group:
Positives: 2513 + 732 = 3245
Negatives: 589 + 1067 = 1656
Then: 3245 – 1656 = ?
3245 – 1600 = 1645
1645 – 56 = 1589
✔ 1589
---
Summary for Q5:
a. 84
b. 1892
c. 8437
d. 1589
---
Now, compiling all final answers:
──────────────────────────────────────
Final Answer:
1. a. 4215
b. 5222
c. 4532
d. 2077
e. 3167
f. 2274
2. a. 275
b. 253
c. 2313
d. 1111
3. a. 2585
b. 27
4. a. 1791
b. 2543
c. 2274
d. 2077
5. a. 84
b. 1892
c. 8437
d. 1589
---
1. Subtract (column subtraction)
We are given numbers with place values: Th = Thousands, H = Hundreds, T = Tens, O = Ones.
We subtract digit by digit from right to left (Ones → Tens → Hundreds → Thousands), borrowing if needed.
---
a. 8235 – 4020
```
8 2 3 5
– 4 0 2 0
---------
4 2 1 5
```
Check:
5 – 0 = 5
3 – 2 = 1
2 – 0 = 2
8 – 4 = 4
→ 4215
---
b. 6978 – 1756
```
6 9 7 8
– 1 7 5 6
---------
5 2 2 2
```
Check:
8 – 6 = 2
7 – 5 = 2
9 – 7 = 2
6 – 1 = 5
→ 5222
---
c. 9872 – 5340
```
9 8 7 2
– 5 3 4 0
---------
4 5 3 2
```
Check:
2 – 0 = 2
7 – 4 = 3
8 – 3 = 5
9 – 5 = 4
→ 4532
---
d. 6025 – 3948
This needs borrowing!
Start from ones:
5 – 8 → can’t do → borrow from tens. But tens is 2 → so borrow from hundreds. Hundreds is 0 → borrow from thousands.
So:
Thousands: 6 becomes 5
Hundreds: 0 becomes 10 → but we need to lend to tens → so hundreds become 9, tens become 12
Tens: 12 → lend 1 to ones → tens become 11, ones become 15
Now:
Ones: 15 – 8 = 7
Tens: 11 – 4 = 7
Hundreds: 9 – 9 = 0
Thousands: 5 – 3 = 2
Wait — let me write it clearly:
Original:
6 0 2 5
– 3 9 4 8
Borrowing steps:
- Ones column: 5 < 8 → borrow from tens. Tens is 2 → not enough → borrow from hundreds. Hundreds is 0 → borrow from thousands.
So:
Thousands: 6 → 5
Hundreds: 0 → 10 → then lend 1 to tens → becomes 9
Tens: 2 → becomes 12 → then lend 1 to ones → becomes 11
Ones: 5 → becomes 15
Now subtract:
Ones: 15 – 8 = 7
Tens: 11 – 4 = 7
Hundreds: 9 – 9 = 0
Thousands: 5 – 3 = 2
→ 2077
Double-check: 3948 + 2077 = ?
3948 + 2000 = 5948
5948 + 77 = 6025 ✔ Correct.
---
e. 5002 – 1835
Again, borrowing needed.
Write:
5 0 0 2
– 1 8 3 5
Ones: 2 < 5 → borrow from tens → tens is 0 → borrow from hundreds → hundreds is 0 → borrow from thousands.
Thousands: 5 → 4
Hundreds: 0 → 10 → lend to tens → becomes 9
Tens: 0 → becomes 10 → lend to ones → becomes 9
Ones: 2 → becomes 12
Now:
Ones: 12 – 5 = 7
Tens: 9 – 3 = 6
Hundreds: 9 – 8 = 1
Thousands: 4 – 1 = 3
→ 3167
Check: 1835 + 3167 = ?
1835 + 3000 = 4835
4835 + 167 = 5002 ✔ Correct.
---
f. 4070 – 1796
4 0 7 0
– 1 7 9 6
Ones: 0 < 6 → borrow from tens → tens is 7 → okay.
Tens: 7 → becomes 6
Ones: 0 → becomes 10
Ones: 10 – 6 = 4
Tens: 6 – 9 → can’t → borrow from hundreds → hundreds is 0 → borrow from thousands.
Thousands: 4 → 3
Hundreds: 0 → 10 → lend to tens → becomes 9
Tens: 6 → becomes 16
Now:
Tens: 16 – 9 = 7
Hundreds: 9 – 7 = 2
Thousands: 3 – 1 = 2
→ 2274
Check: 1796 + 2274 = ?
1796 + 2000 = 3796
3796 + 274 = 4070 ✔ Correct.
---
Summary for Q1:
a. 4215
b. 5222
c. 4532
d. 2077
e. 3167
f. 2274
---
2. Write in columns and find the difference.
“Write in columns” means set up vertical subtraction.
---
a. 985 from 1260 → 1260 – 985
1 2 6 0
– 9 8 5
----------
Align right:
1 2 6 0
– 9 8 5
= ?
Ones: 0 – 5 → borrow → tens is 6 → becomes 5, ones becomes 10 → 10 – 5 = 5
Tens: 5 – 8 → can’t → borrow from hundreds → hundreds is 2 → becomes 1, tens becomes 15 → 15 – 8 = 7
Hundreds: 1 – 9 → can’t → borrow from thousands → thousands is 1 → becomes 0, hundreds becomes 11 → 11 – 9 = 2
Thousands: 0 – 0 = 0
→ 275
Check: 985 + 275 = 1260 ✔
---
b. 7777 from 8030 → 8030 – 7777
8 0 3 0
– 7 7 7 7
----------
Ones: 0 – 7 → borrow → tens is 3 → becomes 2, ones becomes 10 → 10 – 7 = 3
Tens: 2 – 7 → borrow → hundreds is 0 → borrow from thousands → thousands 8 → 7, hundreds 0 → 10 → lend to tens → hundreds 9, tens 12 → 12 – 7 = 5
Hundreds: 9 – 7 = 2
Thousands: 7 – 7 = 0
→ 253
Check: 7777 + 253 = 8030 ✔
---
c. 1605 from 3918 → 3918 – 1605
3 9 1 8
– 1 6 0 5
----------
Ones: 8 – 5 = 3
Tens: 1 – 0 = 1
Hundreds: 9 – 6 = 3
Thousands: 3 – 1 = 2
→ 2313
Check: 1605 + 2313 = 3918 ✔
---
d. 478 from 1589 → 1589 – 478
1 5 8 9
– 4 7 8
----------
Ones: 9 – 8 = 1
Tens: 8 – 7 = 1
Hundreds: 5 – 4 = 1
Thousands: 1 – 0 = 1
→ 1111
Check: 478 + 1111 = 1589 ✔
---
Summary for Q2:
a. 275
b. 253
c. 2313
d. 1111
---
3. Find the difference between
Difference means subtract smaller from larger.
---
a. 6417 and 9002 → 9002 – 6417
9 0 0 2
– 6 4 1 7
----------
Ones: 2 – 7 → borrow → tens 0 → borrow from hundreds → hundreds 0 → borrow from thousands.
Thousands: 9 → 8
Hundreds: 0 → 10 → lend to tens → 9
Tens: 0 → 10 → lend to ones → 9
Ones: 2 → 12
Ones: 12 – 7 = 5
Tens: 9 – 1 = 8
Hundreds: 9 – 4 = 5
Thousands: 8 – 6 = 2
→ 2585
Check: 6417 + 2585 = 9002 ✔
---
b. 3085 and 3058 → 3085 – 3058
3 0 8 5
– 3 0 5 8
----------
Ones: 5 – 8 → borrow → tens 8 → becomes 7, ones 15 → 15 – 8 = 7
Tens: 7 – 5 = 2
Hundreds: 0 – 0 = 0
Thousands: 3 – 3 = 0
→ 27
Check: 3058 + 27 = 3085 ✔
---
Summary for Q3:
a. 2585
b. 27
---
4. Subtract and check by addition
Do subtraction, then add result to subtrahend to see if you get minuend.
---
a. 1728 from 3519 → 3519 – 1728
3 5 1 9
– 1 7 2 8
----------
Ones: 9 – 8 = 1
Tens: 1 – 2 → borrow → hundreds 5 → 4, tens 11 → 11 – 2 = 9
Hundreds: 4 – 7 → borrow → thousands 3 → 2, hundreds 14 → 14 – 7 = 7
Thousands: 2 – 1 = 1
→ 1791
Check: 1728 + 1791 = ?
1728 + 1700 = 3428
3428 + 91 = 3519 ✔
---
b. 3458 from 6001 → 6001 – 3458
6 0 0 1
– 3 4 5 8
----------
Ones: 1 – 8 → borrow → tens 0 → borrow from hundreds → hundreds 0 → borrow from thousands.
Thousands: 6 → 5
Hundreds: 0 → 10 → lend to tens → 9
Tens: 0 → 10 → lend to ones → 9
Ones: 1 → 11
Ones: 11 – 8 = 3
Tens: 9 – 5 = 4
Hundreds: 9 – 4 = 5
Thousands: 5 – 3 = 2
→ 2543
Check: 3458 + 2543 = ?
3458 + 2500 = 5958
5958 + 43 = 6001 ✔
---
c. 1796 from 4070 → 4070 – 1796
Same as Q1f → we did this already!
→ 2274
Check: 1796 + 2274 = 4070 ✔
---
d. 3948 from 6025 → 6025 – 3948
Same as Q1d → we did this!
→ 2077
Check: 3948 + 2077 = 6025 ✔
---
Summary for Q4:
a. 1791
b. 2543
c. 2274
d. 2077
---
5. Simplify
These are multi-step additions and subtractions. Do left to right unless parentheses (none here).
---
a. 1052 + 964 – 3358 + 1426
Step-by-step:
First: 1052 + 964 = 2016
Then: 2016 – 3358 = negative? Let's compute:
3358 – 2016 = 1342 → so 2016 – 3358 = -1342
Then: -1342 + 1426 = 1426 – 1342 = 84
Alternatively, group positives and negatives:
Positives: 1052 + 964 + 1426 = ?
1052 + 964 = 2016
2016 + 1426 = 3442
Negatives: 3358
So: 3442 – 3358 = 84
✔ 84
---
b. 4115 + 2121 – 3495 – 849
Group positives: 4115 + 2121 = 6236
Group negatives: 3495 + 849 = 4344
Then: 6236 – 4344 = ?
6236 – 4000 = 2236
2236 – 344 = 1892
Or directly:
6236
–4344
------
1892
✔ 1892
---
c. 8325 + 1112 – 1000
First: 8325 + 1112 = 9437
Then: 9437 – 1000 = 8437
✔ 8437
---
d. 2513 – 589 + 732 – 1067
Left to right:
2513 – 589 = ?
2513 – 500 = 2013
2013 – 89 = 1924
Then: 1924 + 732 = 2656
Then: 2656 – 1067 = ?
2656 – 1000 = 1656
1656 – 67 = 1589
Alternatively, group:
Positives: 2513 + 732 = 3245
Negatives: 589 + 1067 = 1656
Then: 3245 – 1656 = ?
3245 – 1600 = 1645
1645 – 56 = 1589
✔ 1589
---
Summary for Q5:
a. 84
b. 1892
c. 8437
d. 1589
---
Now, compiling all final answers:
──────────────────────────────────────
Final Answer:
1. a. 4215
b. 5222
c. 4532
d. 2077
e. 3167
f. 2274
2. a. 275
b. 253
c. 2313
d. 1111
3. a. 2585
b. 27
4. a. 1791
b. 2543
c. 2274
d. 2077
5. a. 84
b. 1892
c. 8437
d. 1589
Parent Tip: Review the logic above to help your child master the concept of subtraction worksheet for grade 3.
