Solve Length Word Problems - 2nd Grade Math

1. What length is left in $cm$ if you have $100$ cm of tape and use $56$ cm?

   $44$ cm. Subtract $56$ from $100$ to find remaining tape.

2. What is the missing length $x$ in $x + 27 = 60$ (in cm)?

   $33$. Subtract $27$ from $60$ to isolate $x$.

3. What is the total length: $8$ cm pencil plus $9$ cm pencil?

   $17$ cm. Add the lengths: $8 + 9 = 17$.

4. Find the total length: A bug crawls $28$ cm, then $17$ cm more. How far in all?

   $45$ cm. Add distances: $28 + 17 = 45$.

5. What equation matches: a ribbon is $12$ in long and is cut to $7$ in; find the cut-off piece $x$?

   $12 - 7 = x$. Total minus remaining equals the amount cut off.

6. Find the start point $x$ on a ruler if the segment ends at $16$ cm and is $9$ cm long.

   $x = 7$ cm. End point minus length gives start: $16 - 9 = 7$.

7. What is the total length of $3$ sticks: $7$ cm, $8$ cm, and $5$ cm?

   $20$ cm. Add all three lengths: $7 + 8 + 5 = 20$.

8. What equation matches: total length $=$ $9$ cm and one part $=$ $4$ cm; find the other part $x$?

   $4 + x = 9$. The unknown part plus known part equals the total.

9. Identify the unknown-symbol equation for: $18$ cm total minus $x$ cm equals $11$ cm left.

   $18 - x = 11$. Total minus unknown equals what remains.

10. What is the total distance in $in$ if you walk $26$ in and then $39$ in?

    $65$ in. Add $26 + 39 = 65$ for total walking distance.

11. What equation matches: "A pencil is $31\text{ cm}$ long. Another is $x\text{ cm}$. Together they are $70\text{ cm}$."?

    $31 + x = 70$. Add the known and unknown to get the total.

12. Identify the unknown-symbol equation for: $x$ cm plus $6$ cm equals $15$ cm total.

    $x + 6 = 15$. Unknown plus known equals total in equation form.

13. What is the shorter length: One ribbon is $28\text{ in}$ and another is $45\text{ in}$. How much shorter is the first?

    $17\text{ in}$. Find the difference: $45 - 28 = 17$.

14. What operation finds the difference in length when one length is longer than another?

    Subtraction. Subtract the shorter from the longer to find how much more.

15. What is the missing length $x$ in $52 - x = 19$ (in inches)?

    $33$. Subtract $19$ from $52$ to find what was taken away.

16. What does the unit stay the same mean in length problems (example: all in $\text{cm}$)?

    Add or subtract numbers and keep the same unit. Operations work on the numbers; units remain unchanged.

17. What is the missing length $x$ in $19 + x = 67$ (in cm)?

    $48$ cm. Subtract $19$ from $67$ to find the missing stick.

18. What is the length of a segment from $15$ to $52$ on a cm ruler?

    $52 - 15 = 37\text{ cm}$. Subtract starting point from ending point on ruler.

19. What equation shows "part = total - other part" for lengths using an unknown $x$?

    $x = a - b$ (same units). Find missing part by subtracting known part from total.

20. What is the unknown length $x$ if the total is $85$ cm and one part is $46$ cm: $46 + x = 85$?

    $39$ cm. Subtract $46$ from $85$ to find the missing part.

21. What is the remaining length if you have $60$ in and cut off $18$ in?

    $42$ in. Subtract cut length from total: $60 - 18 = 42$.

22. What is the remaining length: A rope is $96\text{ in}$ long and $38\text{ in}$ is used. How much is left?

    $58\text{ in}$. Subtract used from total: $96 - 38 = 58$.

23. Find $x$: The total is $50$ cm. One piece is $23$ cm. The other piece is $x$ cm.

    $x = 27$ cm. Subtract known from total: $50 - 23 = 27$.

24. What operation finds the total length of $2$ pieces measured in centimeters?

    Addition. Add lengths to find the total when combining pieces.

25. What is the difference in length if one string is $90$ cm and another is $37$ cm?

    $53$ cm. Subtract $37$ from $90$ to find the difference.

26. What is the length of a segment from $3$ cm to $10$ cm on a ruler?

    $7$ cm. Count spaces or subtract: $10 - 3 = 7$.

27. What is the difference in length: $73\text{ in} - 28\text{ in}$?

    $45\text{ in}$. Subtract the smaller from the larger: $73 - 28 = 45$.

28. What is the unknown in the equation $84 - x = 26$ (lengths in inches)?

    $x = 58\text{ in}$. Subtract from 84: $84 - 26 = 58$.

29. What is the missing addend $x$ in $x + 9 = 100$ (in cm)?

    $91$ cm. Subtract $9$ from $100$ to find the missing addend.

30. What is the missing length $x$ if $14 - x = 6$ (all lengths in inches)?

    $x = 8$. Rearrange: $14 - 6 = x$, so $x = 8$.

31. What operation should you use to find the total length of $35\text{ cm}$ and $27\text{ cm}$?

    Addition: $35 + 27$. Add to find total length when combining two measurements.

32. What is the difference in length between $42$ cm and $35$ cm?

    $7$ cm. Subtract to find difference: $42 - 35 = 7$.

33. What is the unknown length $x$ if a board is $74$ in long and $x$ in is cut off leaving $50$ in: $74 - x = 50$?

    $24$ in. Subtract $50$ from $74$ to find what was cut off.

34. Which equation matches: A board is $48$ in long. After cutting $x$ in, $19$ in remain.

    $48 - x = 19$. Total minus cut length equals remaining length.

35. What is the total length in $cm$ if you join $48$ cm and $29$ cm of ribbon?

    $77$ cm. Add $48 + 29 = 77$ to find total ribbon length.

36. What is the unknown in the equation $x + 29 = 67$ (lengths in cm)?

    $x = 38\text{ cm}$. Subtract 29 from both sides: $67 - 29 = 38$.

37. What is the missing length $x$ if $x + 9 = 20$ (all lengths in cm)?

    $x = 11$. Subtract $9$ from both sides: $20 - 9 = 11$.

38. What is the total length: $48\text{ cm} + 16\text{ cm}$?

    $64\text{ cm}$. Add the two lengths: $48 + 16 = 64$.

39. What is the longer length: One stick is $63\text{ cm}$. It is $17\text{ cm}$ longer than another. How long is the shorter stick?

    $46\text{ cm}$. Subtract the difference: $63 - 17 = 46$.

40. What is the missing length $x$ in $58 - x = 41$ (in cm)?

    $17$ cm. Calculate $58 - 41 = 17$ to find what was removed.

41. What equation matches: "A rope is $58$ cm long. After cutting, it is $41$ cm. How many cm were cut off?"

    $58 - x = 41$. Subtraction shows the cut length as the unknown.

42. What equation shows "total = parts" for lengths using an unknown $x$?

    $x = a + b$ (same units). Total equals sum of parts in addition problems.

43. Identify the unknown in the equation $x + 34 = 79$ for a length word problem.

    $x$ is the missing length. The variable represents what we need to find.

44. What length is missing: $24\text{ cm} + x = 59\text{ cm}$?

    $x = 35\text{ cm}$. Subtract 24 from both sides: $59 - 24 = 35$.

45. What is the missing length $x$ if $x - 7 = 9$ (all lengths in cm)?

    $x = 16$. Add $7$ to both sides: $9 + 7 = 16$.

46. What operation should you use to find how much longer $62\text{ in}$ is than $19\text{ in}$?

    Subtraction: $62 - 19$. Subtract to find the difference between two lengths.

47. What equation matches: "One stick is $19$ cm. Another is $x$ cm. Together they are $67$ cm."

    $19 + x = 67$. Addition shows two parts equal the total.

48. What is the total length of three segments: $12\text{ cm}$, $25\text{ cm}$, and $18\text{ cm}$?

    $55\text{ cm}$. Add all three: $12 + 25 + 18 = 55$.

49. What is the total length: $25$ in rope plus $30$ in rope?

    $55$ in. Add the lengths: $25 + 30 = 55$.

50. What is the unknown start point $x$ on a ruler if an object ends at $63$ cm and is $28$ cm long: $x + 28 = 63$?

    $35$ cm. Subtract $28$ from $63$ to find the starting point.

51. Which unit should you keep if all lengths are given in centimeters and you are adding them?

    Centimeters. Keep the same unit when adding lengths.

52. What equation matches: "A ribbon is $50\text{ cm}$ long. $x\text{ cm}$ is cut off. $18\text{ cm}$ remains."?

    $50 - x = 18$. Start with total, subtract unknown to get remainder.

53. Which length is correct if a line goes from $0$ to $37$ on a ruler marked in cm?

    $37\text{ cm}$. Read directly from the endpoint on the ruler.

54. What is the unknown in the equation $x - 15 = 42$ (lengths in cm)?

    $x = 57\text{ cm}$. Add 15 to both sides: $42 + 15 = 57$.

55. What length is missing: $90\text{ in} - x = 47\text{ in}$?

    $x = 43\text{ in}$. Subtract from 90: $90 - 47 = 43$.

56. What is the missing length $x$ in $93 - x = 58$ (in inches)?

    $35$ in. Calculate $93 - 58 = 35$ to find what was subtracted.

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