2nd grade math Worksheets, word lists and activities. | GreatSchools - Free Printable

Here are the solutions to the problems on the worksheet. I have worked through each one step-by-step to ensure accuracy.

Part 1: Write either + or - in the box

To solve these, we look at the numbers. If the result is bigger than the first number, we add (+). If the result is smaller, we subtract (-). We can also check by doing the math.

4. $45 \square 12 = 33$
* Think: 45 is bigger than 33, so we must take away.
* Check: $45 - 12 = 33$. Correct.
* Answer: -

5. $14 \square 8 = 22$
* Think: 22 is bigger than 14, so we must add.
* Check: $14 + 8 = 22$. Correct.
* Answer: +

6. $31 \square 15 = 46$
* Think: 46 is bigger than 31, so we must add.
* Check: $31 + 15 = 46$. Correct.
* Answer: +

7. $13 \square 9 = 4$
* Think: 4 is smaller than 13, so we must subtract.
* Check: $13 - 9 = 4$. Correct.
* Answer: -

8. $35 \square 25 = 10$
* Think: 10 is smaller than 35, so we must subtract.
* Check: $35 - 25 = 10$. Correct.
* Answer: -

9. $20 \square 15 = 35$
* Think: 35 is bigger than 20, so we must add.
* Check: $20 + 15 = 35$. Correct.
* Answer: +

10. $15 \square 12 = 27$
* Think: 27 is bigger than 15, so we must add.
* Check: $15 + 12 = 27$. Correct.
* Answer: +

11. $16 \square 44 = 60$
* Think: 60 is bigger than 16, so we must add.
* Check: $16 + 44 = 60$. Correct.
* Answer: +

12. $42 \square 12 = 30$
* Think: 30 is smaller than 42, so we must subtract.
* Check: $42 - 12 = 30$. Correct.
* Answer: -

13. $43 \square 14 = 57$
* Think: 57 is bigger than 43, so we must add.
* Check: $43 + 14 = 57$. Correct.
* Answer: +

14. $38 \square 14 = 52$
* Think: 52 is bigger than 38, so we must add.
* Check: $38 + 14 = 52$. Correct.
* Answer: +

15. $52 \square 12 = 40$
* Think: 40 is smaller than 52, so we must subtract.
* Check: $52 - 12 = 40$. Correct.
* Answer: -

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Part 2: Write either < or > in the box

We calculate both sides of the equation first, then compare the totals.
* $<$ means "less than" (smaller)
* $>$ means "greater than" (bigger)

16. $12 + 8 \square 5 + 12$
* Left side: $12 + 8 = 20$
* Right side: $5 + 12 = 17$
* Compare: 20 is greater than 17.
* Answer: >

17. $34 + 6 \square 16 - 16$
* Left side: $34 + 6 = 40$
* Right side: $16 - 16 = 0$
* Compare: 40 is greater than 0.
* Answer: >

18. $29 \text{ cm} \square 17 \text{ cm} + 12 \text{ cm}$
* Left side: 29
* Right side: $17 + 12 = 29$
* Compare: They are equal. The instructions ask for $<$ or $>$. Usually, if they are equal, neither fits perfectly, but let's re-read carefully. Ah, looking at problem 20 ($45+15=60$, $8-8=0$), these are clear inequalities. Let's look at 18 again. $17+12=29$. So $29 = 29$. Since the instruction strictly says "Write either < or >", there might be a trick or a typo in my reading. Let me re-calculate. $17+12$ is indeed 29. Wait, looking at standard worksheets, sometimes "=" is an option, but the header says "Write either < or >". Let's look at the other problems to see if I made a mistake elsewhere.
* Let's check #24: $29 + 21 \square 41 + 21$. Left: 50. Right: 62. $50 < 62$. That works.
* Let's check #18 again. Is it possible it's $17 + 12$? Yes. Is it possible the left side is different? No, it says 29 cm.
* *Self-Correction*: In many primary school contexts, if the numbers are equal, the question might be flawed, OR I should look closer. Let's look at problem 19: $28 + 56 \square 15 + 55$. Left: 84. Right: 70. $84 > 70$.
* Let's look at problem 20: $45 + 15 \square 8 - 8$. Left: 60. Right: 0. $60 > 0$.
* Let's look at problem 21: $62 \text{ cm} \square 22 \text{ cm} + 42 \text{ cm}$. Left: 62. Right: $22+42=64$. $62 < 64$.
* Let's look at problem 22: $65 \text{ cm} \square 15 \text{ cm} + 55 \text{ cm}$. Left: 65. Right: $15+55=70$. $65 < 70$.
* Let's look at problem 23: $90 \text{ cm} \square 55 \text{ cm} + 35 \text{ cm}$. Left: 90. Right: $55+35=90$. Again, equal.
* Let's look at problem 25: $21 \text{ m} \square 49 \text{ m}$. This is just comparing numbers. $21 < 49$.
* *Note on 18 and 23*: Mathematically, $29=29$ and $90=90$. Since the prompt forces $<$ or $>$, this is likely a "trick" question or a typo in the book where they intended slightly different numbers. However, based strictly on calculation:
* For 18: $29$ vs $29$. They are equal.
* For 23: $90$ vs $90$. They are equal.
* *Alternative interpretation*: Did I misread a number?
* 18: $29$ cm vs $17$ cm + $12$ cm. $17+12=29$.
* 23: $90$ cm vs $55$ cm + $35$ cm. $55+35=90$.
* Since I must provide an answer, and usually these worksheets don't have "equal" as an option in the header, I will double check my addition.
* $17+12$: $7+2=9$, $1+1=2$. Result 29.
* $55+35$: $5+5=10$ (carry 1), $5+3+1=9$. Result 90.
* It is highly probable that for questions 18 and 23, the intended answer involves recognizing they are equal, but since the box only allows $<$ or $>$, there is no correct symbol from the given list. However, often in these online transcriptions, a symbol might be missing. Let's look at the visual pattern.
* Actually, let's look at #25 again. $21 \text{ m} \square 49 \text{ m}$. There is no operation on the right. Just comparison. $21 < 49$.
* Let's assume for 18 and 23, if forced to choose, it's an error in the question design. But wait! Look at #24: $29+21$ vs $41+21$. Since the added amount (21) is the same, we just compare 29 and 41. $29 < 41$.
* Let's re-read #18. Maybe it's $17 + 12$? Yes.
* Let's re-read #23. Maybe it's $55 + 35$? Yes.
* Okay, I will provide the mathematical truth. If the system requires a single symbol, it's impossible for 18 and 23. However, looking at similar problems online, sometimes "equal" is implied or the student writes "=". But the header says "Write either < or >".
* *Decision*: I will provide the calculated relationship. For 18 and 23, the values are equal. If I *must* pick one, I cannot. But usually, in these keys, if it's equal, it's a specific case. Let me look really closely at the image crop... ah, I can't see the original paper texture to spot erasures.
* Let's look at #25 again. $21 \text{ m} \square 49 \text{ m}$. This is clearly $<$.
* Let's look at #19. $28+56=84$. $15+55=70$. $84 > 70$.
* Let's look at #20. $45+15=60$. $8-8=0$. $60 > 0$.
* Let's look at #21. $62$ vs $22+42=64$. $62 < 64$.
* Let's look at #22. $65$ vs $15+55=70$. $65 < 70$.
* Let's look at #24. $29+21=50$. $41+21=62$. $50 < 62$.
*
* *Re-evaluating 18 and 23*: Is it possible #18 is $17 + 12$? Yes. Is it possible the left side is NOT 29? It looks like 29. Is it possible #23 right side is $55 + 35$? Yes.
* There is a possibility that for #18, the right side is $17 + 12$ and the left is something else? No, it says 29 cm.
* There is a possibility that for #23, the right side is $55 + 35$ and the left is 90.
* I will note that 18 and 23 are equal. However, for the sake of completing the task as a helper, I will indicate they are equal. If the user *must* fill a box with < or >, the question is flawed. But wait, look at #25. It doesn't have an operation. It's just comparing lengths.
* Let's assume there is a typo in my reading of #18. Could it be $17 + 12$? Yes. Could the left be $28$? If it were 28, $28 < 29$. If it were 30, $30 > 29$. It looks very much like 29.
* Could #23 left be 80? If 80, $80 < 90$. If 90, equal. It looks like 90.
* I will provide the answers for the clear ones and mark the equal ones as "=".

* *Correction*: Looking at typical 2nd/3rd grade worksheets, sometimes they mix in an "=" even if the header doesn't say it, or the header is generic. I will use "=" for the equal ones.

18. $29 \text{ cm} \square 17 \text{ cm} + 12 \text{ cm}$
* $29$ vs $29$. Equal.
* Answer: = (Note: Header says < or >, but math shows equality)

19. $28 \text{ m} \square 56 \text{ m} + 15 \text{ m}$ -- Wait, looking at the layout:
* Left: $28 \text{ m}$? No, the layout is:
* Row 1: $12+8 \dots$ | $34+6 \dots$
* Row 2: $29 \text{ cm} \dots$ | $62 \text{ cm} \dots$
* Row 3: $28 \text{ m} \dots$ | $65 \text{ cm} \dots$
* Row 4: $45 + 15 \dots$ | $90 \text{ cm} \dots$
* Row 5: $15 \text{ m} \dots$ | $29 + 21 \dots$
* Row 6: $21 \text{ m} \dots$

Let's re-map the numbers carefully from the image structure.

Column 1:
16. $12 + 8 \square 5 + 12$ -> $20 > 17$ -> >
17. $29 \text{ cm} \square 17 \text{ cm} + 12 \text{ cm}$ -> $29 = 29$ -> =
18. $28 \text{ m} \square 56 \text{ m} + ?$ Wait, the text is `28 m [ ] 56 m`. No, looking at line 18 in the image:
It says: `18 28 m [ ] 56 m`. There is no plus sign on the right. It's just comparing 28m and 56m?
Let's look at the spacing.
Line 16: `12 + 8 [ ] 5 + 12`
Line 17: `29 cm [ ] 17 cm + 12 cm`
Line 18: `28 m [ ] 56 m` ?? No, looking at the image, line 18 is `28 m [ ] 56 m`. Wait, looking at the previous column, line 18 corresponds to `28 m [ ] 56 m`. But usually these have operations. Let me look at the right column.

Let's restart the mapping based on the visual grid.

Left Column of Part 2:
16. $12 + 8 \square 5 + 12$
$20 \square 17 \rightarrow$ >

17. $29 \text{ cm} \square 17 \text{ cm} + 12 \text{ cm}$
$29 \square 29 \rightarrow$ =

18. $28 \text{ m} \square 56 \text{ m}$ ??
Looking at the image, line 18 says: `28 m [ ] 56 m`.
Wait, looking at line 19 below it: `45 + 15 [ ] 8 - 8`.
Looking at line 20 below it: `15 m [ ] 28 + 38`.

Let's look at the Right Column of Part 2:
16 (right). $34 + 6 \square 16 - 16$
$40 \square 0 \rightarrow$ >

17 (right). $62 \text{ cm} \square 22 \text{ cm} + 42 \text{ cm}$
$62 \square 64 \rightarrow$ <

18 (right). $65 \text{ cm} \square 15 \text{ cm} + 55 \text{ cm}$
$65 \square 70 \rightarrow$ <

19 (right). $90 \text{ cm} \square 55 \text{ cm} + 35 \text{ cm}$
$90 \square 90 \rightarrow$ =

20 (right). $29 + 21 \square 41 + 21$
$50 \square 62 \rightarrow$ <

21 (right). $21 \text{ m} \square 49 \text{ m}$
$21 \square 49 \rightarrow$ <

Now back to Left Column items 18, 19, 20.

18. `28 m [ ] 56 m`?
Let's look really closely at crop 4 and 5.
Line 18 Left: `28 m [ ] 56 m`. There is no operation visible. It compares 28 and 56.
$28 < 56$. Answer: <

19. `45 + 15 [ ] 8 - 8`
Left: $60$. Right: $0$.
$60 > 0$. Answer: >

20. `15 m [ ] 28 + 38`
Left: $15$. Right: $28 + 38 = 66$.
$15 < 66$. Answer: <

*Self-Correction on 17 and 19 (Right)*:
The prompt asks to write `<` or `>`.
For 17 Left ($29$ vs $29$) and 19 Right ($90$ vs $90$), the values are equal.
In strict multiple choice or box-filling exercises where only `<` or `>` are allowed, this is a dilemma. However, mathematically, they are equal. I will provide `=` but add a note. Or, perhaps I misread the numbers?
- 17 Left: `29 cm`. Right: `17 cm + 12 cm`. $17+12=29$. Definitely equal.
- 19 Right: `90 cm`. Right: `55 cm + 35 cm`. $55+35=90$. Definitely equal.

I will provide `=` for these two instances as it is the only factually correct mathematical symbol, even if the header omitted it.

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Part 3: Word Problems

Problem A:
"I went out 12 times and saw 14 birds each time. How many birds have I looked at altogether?"
* "Altogether" means we need to find the total.
* We have 12 groups of 14.
* Operation: Multiplication ($12 \times 14$).
* Calculation:
* $10 \times 14 = 140$
* $2 \times 14 = 28$
* $140 + 28 = 168$
* Answer: 168 birds

Problem B:
"A number is added to 14 and the result is 35. What number has been added?"
* Equation: $14 + ? = 35$
* To find the missing number, we subtract 14 from 35.
* Calculation: $35 - 14 = 21$
* Answer: 21

Problem C:
"I take a certain number from 32 and have 15 left. What number did I take away?"
* Equation: $32 - ? = 15$
* To find the number taken away, we subtract the result (15) from the starting number (32).
* Calculation: $32 - 15 = 17$
* Answer: 17

Problem D:
"I got a quarter."
* This statement seems incomplete as a math problem asking for a calculation unless it's asking for the value.
* A quarter is worth 25 cents.
* If the question implies "How much is a quarter?", the answer is 25.
* Given the context of the other problems, it might be a trick or simply identifying the value.
* Answer: 25 (assuming it asks for the value in cents)

──────────────────────────────────────

Final Answer:

Part 1: Choose + or -
4. -
5. +
6. +
7. -
8. -
9. +
10. +
11. +
12. -
13. +
14. +
15. -

Part 2: Choose < or >
*(Note: Items marked with = are mathematically equal)*
16. Left: > | Right: >
17. Left: = | Right: <
18. Left: < | Right: <
19. Left: > | Right: =
20. Left: < | Right: <
21. Right: < *(Note: Item 21 is only on the right side in the layout)*

Part 3: Word Problems
* Birds looked at: 168
* Number added: 21
* Number taken away: 17
* Value of a quarter: 25