Maths Workbook PDF | Printable Year 4 Maths Worksheets - Free Printable
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Step-by-step solution for: Maths Workbook PDF | Printable Year 4 Maths Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Maths Workbook PDF | Printable Year 4 Maths Worksheets
Let’s solve the math problems shown in the workbook pages. We’ll go column by column, checking each addition and subtraction carefully.
---
First: Large Numbers Addition (left-middle page)
We are given several addition problems with missing numbers or full sums to check.
Problem a:
5122 + 120 + 309 = ?
Step-by-step:
5122 + 120 = 5242
5242 + 309 = 5551
But the answer shown is 640 — that’s way too small. Wait — looking again, maybe it's not all added together? Let me re-read.
Actually, looking at the layout:
It says:
a)
5122
+ 120
+ 309
= 640 ← This can’t be right. 5122 alone is bigger than 640.
Wait — perhaps this is a typo in my reading? Or maybe the “640” is for another problem?
Looking more carefully at the image description (even though I’m not describing it), the structure seems to be:
There are multiple columns of additions labeled a, b, c, d.
Let me list them as they appear:
Column a:
5122
+120
+ 309
= ??? → but written as 640? That doesn’t make sense.
Wait — perhaps the “640” is actually the answer to a different set? Let me try adding vertically:
5122
120
309
------
Add units: 2 + 0 + 9 = 11 → write 1, carry 1
Tens: 2 + 2 + 0 + 1(carry) = 5
Hundreds: 1 + 1 + 3 = 5
Thousands: 5
→ Total: 5551
So if the book says 640, that must be wrong — OR — perhaps I misread the numbers.
Wait — maybe it’s:
5122
+ 120
= 5242
then + 309 = 5551 — still not 640.
Alternatively — could it be that “640” is the answer to a DIFFERENT problem? Like maybe:
Look at next one:
b)
2378
+ 592
+ 92
= 2849? Let’s check:
2378 + 592 = 2970
2970 + 92 = 3062 — not 2849.
Hmm.
Wait — let’s look at the third one:
c)
3769
+ 277
+ 3358
= 197? No, that can’t be.
This suggests maybe the answers on the right are NOT for those problems — or perhaps there’s a formatting issue.
Wait — looking again at the original user input: the text says:
“Large Numbers Ac” — probably “Addition”
And then lists:
a) 5122 + 120 + 309 = 640 → impossible.
Unless... oh! Maybe the “640” is actually part of a different column? Let me reinterpret.
Perhaps the layout is:
Left column: problems a, b, c, d
Right column: answers or other problems?
Wait — no, looking at the text provided:
It says:
a) 5122 + 120 + 309 = 640 → clearly wrong.
But then below that:
b) 2378 + 592 + 92 = 2849 → let’s calculate:
2378 + 592 = 2970; 2970 + 92 = 3062 ≠ 2849
c) 3769 + 277 + 3358 = 197? No.
d) 495 + 8372 + 86 + 2652 = 197? Also no.
This is confusing.
Wait — perhaps the numbers on the right are NOT the answers, but rather separate problems?
Look at the text again:
After “a) 5122 + 120 + 309 = 640”, it has “ii 640” — maybe “ii” means something else?
Actually, rereading the user’s pasted text:
It says:
"a) 5122 + 120 + 309 = 640 ii 640"
That might mean two parts? Or perhaps it's a misformatting.
Another idea: maybe the “640” is the answer to a subtraction or different operation? But the title is “Large Numbers Addition”.
Let’s skip to the subtraction section — maybe that’s clearer.
---
Finding Missing Numbers / Column Subtraction (middle-right page)
Problems like:
657 - 359 = 298 → let’s verify:
657 - 359:
Units: 7 - 9 → borrow, so 17 - 9 = 8
Tens: 4 (after borrow) - 5 → borrow again, 14 - 5 = 9
Hundreds: 5 (after borrow) - 3 = 2
→ 298 ✔️ Correct.
Next: □3□ - 452 = 284
So we have: _3_ minus 452 equals 284.
That means: _3_ = 284 + 452
Calculate 284 + 452:
4 + 2 = 6
8 + 5 = 13 → write 3, carry 1
2 + 4 + 1 = 7
→ 736
So the number is 736. Check: 736 - 452 = 284?
736 - 452:
6-2=4
3-5 → borrow, 13-5=8
6-4=2 → 284 ✔️
So missing digits: first digit 7, last digit 6 → so □3□ becomes 736.
Next: 91□ - 878 = 41
So 91_ - 878 = 41 → therefore 91_ = 41 + 878 = 919
Check: 919 - 878 = 41?
9-8=1
1-7 → borrow, 11-7=4
8-8=0 → wait, hundreds: 9 became 8 after borrow? Let's do properly:
919
-878
-----
Units: 9-8=1
Tens: 1-7 → can't, borrow from hundreds. Hundreds is 9, becomes 8, tens become 11. 11-7=4
Hundreds: 8-8=0 → so 041 → which is 41 ✔️
So missing digit is 9 → 919.
Next: 1□69 - 275 = 1094
So 1_69 - 275 = 1094 → therefore 1_69 = 1094 + 275
Calculate 1094 + 275:
4+5=9
9+7=16 → write 6, carry 1
0+2+1=3
1+0=1 → 1369
So the number is 1369. Check: 1369 - 275 = ?
9-5=4
6-7 → borrow, 16-7=9
2 (since 3 became 2 after borrow) - 2 = 0
1-0=1 → 1094 ✔️
So missing digit is 3 → 1369.
Now the bottom ones:
3269 - 1652 = □617
Calculate 3269 - 1652:
9-2=7
6-5=1
2-6 → borrow, 12-6=6
2 (since 3 became 2) - 1 = 1 → so 1617
Thus, □617 → first digit is 1 → 1617 ✔️
Last: 5□12 - 693 = 4719
So 5_12 - 693 = 4719 → therefore 5_12 = 4719 + 693
Calculate 4719 + 693:
9+3=12 → write 2, carry 1
1+9+1=11 → write 1, carry 1
7+6+1=14 → write 4, carry 1
4+0+1=5 → 5412
So the number is 5412. Check: 5412 - 693 = ?
2-3 → borrow, 12-3=9
0 (since 1 became 0) - 9 → borrow, 10-9=1
3 (since 4 became 3) - 6 → borrow, 13-6=7
4 (since 5 became 4) - 0 = 4 → 4719 ✔️
So missing digit is 4 → 5412.
---
Now back to the addition problems — perhaps the answers listed are incorrect, or perhaps I need to compute them correctly regardless.
Let’s recalculate all addition problems accurately.
Problem a: 5122 + 120 + 309
As before: 5122 + 120 = 5242; 5242 + 309 = 5551
Problem b: 2378 + 592 + 92
2378 + 592 = 2970; 2970 + 92 = 3062
Problem c: 3769 + 277 + 3358
3769 + 277 = 4046; 4046 + 3358 = 7404
Problem d: 495 + 8372 + 86 + 2652
First, 495 + 8372 = 8867
8867 + 86 = 8953
8953 + 2652 = 11605
Now the second set under "d)"? Wait, in the text it says:
"d) 495 + 8372 + 86 + 2652 = 197" — that’s obviously wrong.
Then it has:
"ii 6847 + 946 + 855 + 21"
Let’s calculate that:
6847 + 946 = 7793
7793 + 855 = 8648
8648 + 21 = 8669
So perhaps the "197" was a mistake, and these are separate.
In the user’s text, after d) it says "= 197" and then "ii 6847..." — so likely "ii" is another problem.
Similarly, earlier for a) it had "= 640 ii 640" — perhaps "ii" indicates a second part.
But without clear labeling, I’ll assume we need to compute all additions correctly.
Also, note that in the subtraction section, some were correct, some needed missing digits filled.
For the purpose of this task, since the user said “solve the problem accurately”, and given that the workbook may have errors or blanks, I should provide correct calculations for all visible problems.
Moreover, the cover says “Year 4 Maths Addition and Subtraction Workbook”, so these are standard arithmetic.
Let me compile all correct answers.
---
Addition Problems:
a) 5122 + 120 + 309 = 5551
b) 2378 + 592 + 92 = 3062
c) 3769 + 277 + 3358 = 7404
d) 495 + 8372 + 86 + 2652 = 11605
e) 6847 + 946 + 855 + 21 = 8669 [assuming this is part of d or separate]
In the text, after d) it says "= 197" which is wrong, and then "ii 6847..." so probably e) is 6847 etc.
Also, in the beginning, for a) it says "= 640 ii 640" — perhaps "ii" is a duplicate or error.
I think safest is to compute all unique addition expressions.
Additionally, there might be more — but based on what’s listed.
Now for subtraction with missing digits, we already solved:
- □3□ - 452 = 284 → 736
- 91□ - 878 = 41 → 919
- 1□69 - 275 = 1094 → 1369
- 3269 - 1652 = □617 → 1617
- 5□12 - 693 = 4719 → 5412
And the verified subtractions:
- 657 - 359 = 298 ✔️
- 910 - 878 = 32? Wait no, in the text it says "91□ - 878 = 41" which we did as 919.
In the initial list, it also has:
"910 - 878 = 41" — but 910 - 878 = 32, not 41. So that must be a blank, not 910.
In the user’s text: "91□ - 878 = 41" — yes, so it’s missing digit.
Similarly, "1□69 - 275 = 1094" — missing digit.
So all good.
Now, to present final answers clearly.
Since the user didn’t specify which exact problem, but uploaded the whole sheet, I should provide solutions for all computational problems shown.
But to avoid overload, perhaps focus on the ones that are incomplete or need verification.
Given the instructions, I’ll provide the correct results for all addition and subtraction problems that require calculation.
Final compilation:
Additions:
1. 5122 + 120 + 309 = 5551
2. 2378 + 592 + 92 = 3062
3. 3769 + 277 + 3358 = 7404
4. 495 + 8372 + 86 + 2652 = 11605
5. 6847 + 946 + 855 + 21 = 8669
Subtractions with missing digits:
6. □3□ - 452 = 284 → 736
7. 91□ - 878 = 41 → 919
8. 1□69 - 275 = 1094 → 1369
9. 3269 - 1652 = □617 → 1617
10. 5□12 - 693 = 4719 → 5412
Verified subtractions (already correct):
11. 657 - 359 = 298
12. 910 - 878 = 32? But in context, it's 91□ so not applicable.
Actually, in the list, only the ones with boxes are to be solved.
Also, in the text, there is "910 - 878 = 41" but that’s incorrect; it should be with a blank.
I think for Final Answer, since the user likely wants the solutions to the problems presented, and given that many are miscalculated in the workbook, I'll provide the correct values.
But to match the format, perhaps list them as per the sections.
Since the instruction is to solve the problem accurately, and the image contains multiple problems, I'll output the key answers.
However, to keep it clean, I'll summarize the corrected computations.
Final Answer:
For additions:
a) 5551
b) 3062
c) 7404
d) 11605
e) 8669
For subtractions with missing digits:
□3□ = 736
91□ = 919
1□69 = 1369
□617 = 1617
5□12 = 5412
All calculated and verified.
---
First: Large Numbers Addition (left-middle page)
We are given several addition problems with missing numbers or full sums to check.
Problem a:
5122 + 120 + 309 = ?
Step-by-step:
5122 + 120 = 5242
5242 + 309 = 5551
But the answer shown is 640 — that’s way too small. Wait — looking again, maybe it's not all added together? Let me re-read.
Actually, looking at the layout:
It says:
a)
5122
+ 120
+ 309
= 640 ← This can’t be right. 5122 alone is bigger than 640.
Wait — perhaps this is a typo in my reading? Or maybe the “640” is for another problem?
Looking more carefully at the image description (even though I’m not describing it), the structure seems to be:
There are multiple columns of additions labeled a, b, c, d.
Let me list them as they appear:
Column a:
5122
+120
+ 309
= ??? → but written as 640? That doesn’t make sense.
Wait — perhaps the “640” is actually the answer to a different set? Let me try adding vertically:
5122
120
309
------
Add units: 2 + 0 + 9 = 11 → write 1, carry 1
Tens: 2 + 2 + 0 + 1(carry) = 5
Hundreds: 1 + 1 + 3 = 5
Thousands: 5
→ Total: 5551
So if the book says 640, that must be wrong — OR — perhaps I misread the numbers.
Wait — maybe it’s:
5122
+ 120
= 5242
then + 309 = 5551 — still not 640.
Alternatively — could it be that “640” is the answer to a DIFFERENT problem? Like maybe:
Look at next one:
b)
2378
+ 592
+ 92
= 2849? Let’s check:
2378 + 592 = 2970
2970 + 92 = 3062 — not 2849.
Hmm.
Wait — let’s look at the third one:
c)
3769
+ 277
+ 3358
= 197? No, that can’t be.
This suggests maybe the answers on the right are NOT for those problems — or perhaps there’s a formatting issue.
Wait — looking again at the original user input: the text says:
“Large Numbers Ac” — probably “Addition”
And then lists:
a) 5122 + 120 + 309 = 640 → impossible.
Unless... oh! Maybe the “640” is actually part of a different column? Let me reinterpret.
Perhaps the layout is:
Left column: problems a, b, c, d
Right column: answers or other problems?
Wait — no, looking at the text provided:
It says:
a) 5122 + 120 + 309 = 640 → clearly wrong.
But then below that:
b) 2378 + 592 + 92 = 2849 → let’s calculate:
2378 + 592 = 2970; 2970 + 92 = 3062 ≠ 2849
c) 3769 + 277 + 3358 = 197? No.
d) 495 + 8372 + 86 + 2652 = 197? Also no.
This is confusing.
Wait — perhaps the numbers on the right are NOT the answers, but rather separate problems?
Look at the text again:
After “a) 5122 + 120 + 309 = 640”, it has “ii 640” — maybe “ii” means something else?
Actually, rereading the user’s pasted text:
It says:
"a) 5122 + 120 + 309 = 640 ii 640"
That might mean two parts? Or perhaps it's a misformatting.
Another idea: maybe the “640” is the answer to a subtraction or different operation? But the title is “Large Numbers Addition”.
Let’s skip to the subtraction section — maybe that’s clearer.
---
Finding Missing Numbers / Column Subtraction (middle-right page)
Problems like:
657 - 359 = 298 → let’s verify:
657 - 359:
Units: 7 - 9 → borrow, so 17 - 9 = 8
Tens: 4 (after borrow) - 5 → borrow again, 14 - 5 = 9
Hundreds: 5 (after borrow) - 3 = 2
→ 298 ✔️ Correct.
Next: □3□ - 452 = 284
So we have: _3_ minus 452 equals 284.
That means: _3_ = 284 + 452
Calculate 284 + 452:
4 + 2 = 6
8 + 5 = 13 → write 3, carry 1
2 + 4 + 1 = 7
→ 736
So the number is 736. Check: 736 - 452 = 284?
736 - 452:
6-2=4
3-5 → borrow, 13-5=8
6-4=2 → 284 ✔️
So missing digits: first digit 7, last digit 6 → so □3□ becomes 736.
Next: 91□ - 878 = 41
So 91_ - 878 = 41 → therefore 91_ = 41 + 878 = 919
Check: 919 - 878 = 41?
9-8=1
1-7 → borrow, 11-7=4
8-8=0 → wait, hundreds: 9 became 8 after borrow? Let's do properly:
919
-878
-----
Units: 9-8=1
Tens: 1-7 → can't, borrow from hundreds. Hundreds is 9, becomes 8, tens become 11. 11-7=4
Hundreds: 8-8=0 → so 041 → which is 41 ✔️
So missing digit is 9 → 919.
Next: 1□69 - 275 = 1094
So 1_69 - 275 = 1094 → therefore 1_69 = 1094 + 275
Calculate 1094 + 275:
4+5=9
9+7=16 → write 6, carry 1
0+2+1=3
1+0=1 → 1369
So the number is 1369. Check: 1369 - 275 = ?
9-5=4
6-7 → borrow, 16-7=9
2 (since 3 became 2 after borrow) - 2 = 0
1-0=1 → 1094 ✔️
So missing digit is 3 → 1369.
Now the bottom ones:
3269 - 1652 = □617
Calculate 3269 - 1652:
9-2=7
6-5=1
2-6 → borrow, 12-6=6
2 (since 3 became 2) - 1 = 1 → so 1617
Thus, □617 → first digit is 1 → 1617 ✔️
Last: 5□12 - 693 = 4719
So 5_12 - 693 = 4719 → therefore 5_12 = 4719 + 693
Calculate 4719 + 693:
9+3=12 → write 2, carry 1
1+9+1=11 → write 1, carry 1
7+6+1=14 → write 4, carry 1
4+0+1=5 → 5412
So the number is 5412. Check: 5412 - 693 = ?
2-3 → borrow, 12-3=9
0 (since 1 became 0) - 9 → borrow, 10-9=1
3 (since 4 became 3) - 6 → borrow, 13-6=7
4 (since 5 became 4) - 0 = 4 → 4719 ✔️
So missing digit is 4 → 5412.
---
Now back to the addition problems — perhaps the answers listed are incorrect, or perhaps I need to compute them correctly regardless.
Let’s recalculate all addition problems accurately.
Problem a: 5122 + 120 + 309
As before: 5122 + 120 = 5242; 5242 + 309 = 5551
Problem b: 2378 + 592 + 92
2378 + 592 = 2970; 2970 + 92 = 3062
Problem c: 3769 + 277 + 3358
3769 + 277 = 4046; 4046 + 3358 = 7404
Problem d: 495 + 8372 + 86 + 2652
First, 495 + 8372 = 8867
8867 + 86 = 8953
8953 + 2652 = 11605
Now the second set under "d)"? Wait, in the text it says:
"d) 495 + 8372 + 86 + 2652 = 197" — that’s obviously wrong.
Then it has:
"ii 6847 + 946 + 855 + 21"
Let’s calculate that:
6847 + 946 = 7793
7793 + 855 = 8648
8648 + 21 = 8669
So perhaps the "197" was a mistake, and these are separate.
In the user’s text, after d) it says "= 197" and then "ii 6847..." — so likely "ii" is another problem.
Similarly, earlier for a) it had "= 640 ii 640" — perhaps "ii" indicates a second part.
But without clear labeling, I’ll assume we need to compute all additions correctly.
Also, note that in the subtraction section, some were correct, some needed missing digits filled.
For the purpose of this task, since the user said “solve the problem accurately”, and given that the workbook may have errors or blanks, I should provide correct calculations for all visible problems.
Moreover, the cover says “Year 4 Maths Addition and Subtraction Workbook”, so these are standard arithmetic.
Let me compile all correct answers.
---
Addition Problems:
a) 5122 + 120 + 309 = 5551
b) 2378 + 592 + 92 = 3062
c) 3769 + 277 + 3358 = 7404
d) 495 + 8372 + 86 + 2652 = 11605
e) 6847 + 946 + 855 + 21 = 8669 [assuming this is part of d or separate]
In the text, after d) it says "= 197" which is wrong, and then "ii 6847..." so probably e) is 6847 etc.
Also, in the beginning, for a) it says "= 640 ii 640" — perhaps "ii" is a duplicate or error.
I think safest is to compute all unique addition expressions.
Additionally, there might be more — but based on what’s listed.
Now for subtraction with missing digits, we already solved:
- □3□ - 452 = 284 → 736
- 91□ - 878 = 41 → 919
- 1□69 - 275 = 1094 → 1369
- 3269 - 1652 = □617 → 1617
- 5□12 - 693 = 4719 → 5412
And the verified subtractions:
- 657 - 359 = 298 ✔️
- 910 - 878 = 32? Wait no, in the text it says "91□ - 878 = 41" which we did as 919.
In the initial list, it also has:
"910 - 878 = 41" — but 910 - 878 = 32, not 41. So that must be a blank, not 910.
In the user’s text: "91□ - 878 = 41" — yes, so it’s missing digit.
Similarly, "1□69 - 275 = 1094" — missing digit.
So all good.
Now, to present final answers clearly.
Since the user didn’t specify which exact problem, but uploaded the whole sheet, I should provide solutions for all computational problems shown.
But to avoid overload, perhaps focus on the ones that are incomplete or need verification.
Given the instructions, I’ll provide the correct results for all addition and subtraction problems that require calculation.
Final compilation:
Additions:
1. 5122 + 120 + 309 = 5551
2. 2378 + 592 + 92 = 3062
3. 3769 + 277 + 3358 = 7404
4. 495 + 8372 + 86 + 2652 = 11605
5. 6847 + 946 + 855 + 21 = 8669
Subtractions with missing digits:
6. □3□ - 452 = 284 → 736
7. 91□ - 878 = 41 → 919
8. 1□69 - 275 = 1094 → 1369
9. 3269 - 1652 = □617 → 1617
10. 5□12 - 693 = 4719 → 5412
Verified subtractions (already correct):
11. 657 - 359 = 298
12. 910 - 878 = 32? But in context, it's 91□ so not applicable.
Actually, in the list, only the ones with boxes are to be solved.
Also, in the text, there is "910 - 878 = 41" but that’s incorrect; it should be with a blank.
I think for Final Answer, since the user likely wants the solutions to the problems presented, and given that many are miscalculated in the workbook, I'll provide the correct values.
But to match the format, perhaps list them as per the sections.
Since the instruction is to solve the problem accurately, and the image contains multiple problems, I'll output the key answers.
However, to keep it clean, I'll summarize the corrected computations.
Final Answer:
For additions:
a) 5551
b) 3062
c) 7404
d) 11605
e) 8669
For subtractions with missing digits:
□3□ = 736
91□ = 919
1□69 = 1369
□617 = 1617
5□12 = 5412
All calculated and verified.
Parent Tip: Review the logic above to help your child master the concept of year 4 maths worksheet.