All questions
Question 1
Sofia is solving 526+387. She breaks it down as (500+300)+(20+80)+(6+7). What should she get for the final sum?
- 813
- 903
- 913 (correct answer)
- 923
Explanation: When you see a problem like this, you're working with place value and the strategy of breaking numbers apart to make addition easier. Sofia is using a smart approach by separating the hundreds, tens, and ones places.
Let's follow Sofia's method step by step. She breaks 526+387 into three separate additions: (500+300)+(20+80)+(6+7).
First, add the hundreds: 500+300=800
Next, add the tens: 20+80=100
Finally, add the ones: 6+7=13
Now combine all these parts: 800+100+13=913
So the correct answer is C) 913.
Let's see where the other answers might come from. Answer A) 813 happens if you forget to add the tens properly—maybe calculating 20+80=0 instead of 100. Answer B) 903 occurs if you make an error with the ones place, perhaps thinking 6+7=3 instead of 13. Answer D) 923 results from an error in the tens place, possibly calculating 20+80=110 instead of 100.
Remember this strategy: when breaking apart numbers by place value, always double-check each step before combining your partial sums. It's also helpful to estimate first—both numbers are in the hundreds, so your answer should be in the 900s, which immediately rules out answer A. Question 2
A community center packed 642 meals. Then 387 meals were delivered. How many meals remain?
- 355 meals
- 255 meals (correct answer)
- 1,029 meals
- 265 meals
Explanation: 255 meals is correct because 642−387=255. 355 meals is incorrect; it doesn't match the correct subtraction. 1,029 meals is incorrect because it comes from adding 642 and 387 instead of subtracting. 265 meals is incorrect; it doesn't correspond to 642−387. Question 3
Marcus scored 458 points in the first game and 367 points in the second game. How many points did he score altogether?
- 725 points
- 825 points (correct answer)
- 815 points
- 91 points
Explanation: Adding 458 and 367 gives a total of 825 points. Choice A (725 points) comes from an addition error in the hundreds place. Choice C (815 points) is off by ten from the correct total. Choice D (91 points) comes from subtracting instead of adding the two scores.
Question 4
Emma needs to find 743−298. What is the difference?
- 441
- 443
- 447
- 445 (correct answer)
Explanation: The difference is 445, since 743-298=445. Choice A (441) is 4 less than the correct answer, a likely subtraction slip. Choice B (443) is 2 less than the correct answer. Choice C (447) is 2 more than the correct answer.
Question 5
Read the problem. The school library had 500 books. 237 books were checked out. How many books are left?
- 737 books
- 337 books
- 263 books (correct answer)
- 273 books
Explanation: This question tests fluent addition and subtraction within 1000 (CCSS.3.NBT.2), specifically using strategies and algorithms based on place value and regrouping. To add 3-digit numbers, line up place values (ones, tens, hundreds). For addition: Add ones (if sum ≥10, regroup to tens), add tens (if sum ≥10, regroup to hundreds), add hundreds. For subtraction: Subtract ones (if can't, borrow from tens), subtract tens (if can't, borrow from hundreds), subtract hundreds. Example: 347+286: Start with ones (7+6=13, write 3 carry 1), then tens (4+8+1=13, write 3 carry 1), then hundreds (3+2+1=6), answer 633. For subtraction across zero like 500-237: Need to borrow: 500 becomes 4 hundreds, 10 tens, 0 ones. Then 10-7=3, 9-3=6 (after borrowing 1 from tens to make 10 ones), 4-2=2, answer 263. In this problem, the school library had 500 books and 237 were checked out, asking how many are left. This requires subtraction with borrowing across zero in the tens and ones places. Choice A is correct because 500 - 237 = 263. This demonstrates proper borrowing correctly across zero. Choice B represents the error of subtracting smaller from larger in each place without borrowing, resulting in 337. This happens when students don't borrow properly. To help students with addition/subtraction within 1000: Use place value charts or base-10 blocks to visualize regrouping. Practice expanded form (347 = 300+40+7). Teach borrowing across zero explicitly (500 = 4 hundreds, 10 tens, 0 ones). Emphasize lining up place values vertically. Check answers with estimation (347+286 is about 350+300=650, so 633 reasonable). Practice both with and without regrouping. Watch for students who don't carry/borrow correctly or who apply operations inconsistently across place values.
Question 6
Read the problem. Carlos had 700 trading cards. He gave 458 cards to his cousin. How many cards are left?
- 242 cards (correct answer)
- 252 cards
- 1,158 cards
- 342 cards
Explanation: This question tests fluent addition and subtraction within 1000 (CCSS.3.NBT.2), specifically using strategies and algorithms based on place value and regrouping. To add 3-digit numbers, line up place values (ones, tens, hundreds). For addition: Add ones (if sum ≥10, regroup to tens), add tens (if sum ≥10, regroup to hundreds), add hundreds. For subtraction: Subtract ones (if can't, borrow from tens), subtract tens (if can't, borrow from hundreds), subtract hundreds. Example: 347+286: Start with ones (7+6=13, write 3 carry 1), then tens (4+8+1=13, write 3 carry 1), then hundreds (3+2+1=6), answer 633. For subtraction across zero like 500-237: Need to borrow: 500 becomes 4 hundreds, 10 tens, 0 ones. Then 10-7=3, 9-3=6 (after borrowing 1 from tens to make 10 ones), 4-2=2, answer 263. In this problem, Carlos had 700 trading cards and gave 458 to his cousin, asking how many are left. This requires subtraction with borrowing across zero in tens and ones places. Choice A is correct because 700-458=242. This demonstrates proper place value alignment, borrowing correctly across zero. Choice C represents the error of using addition instead of subtraction, calculating 700+458=1,158. This happens when students misread 'left' as total. To help students with addition/subtraction within 1000: Use place value charts or base-10 blocks to visualize regrouping. Practice expanded form (347 = 300+40+7). Teach borrowing across zero explicitly (500 = 4 hundreds, 10 tens, 0 ones). Emphasize lining up place values vertically. Check answers with estimation (347+286 is about 350+300=650, so 633 reasonable). Practice both with and without regrouping. Watch for students who don't carry/borrow correctly or who apply operations inconsistently across place values.
Question 7
Sofia walked 842 steps. Chen walked 569 steps. How many more steps did Sofia walk than Chen?
- 273 steps (correct answer)
- 1,411 steps
- 313 steps
- 283 steps
Explanation: Subtracting 569 from 842 gives 273, so Sofia walked 273 more steps than Chen. Choice B (1,411 steps) comes from adding the two step counts instead of subtracting them. Choice C (313 steps) comes from a regrouping error in the subtraction. Choice D (283 steps) is off by ten from the correct difference.
Question 8
Maya had 458 stickers. She got 276 more stickers and gave away 139 stickers. How many stickers does she have now?
- 605 stickers
- 595 stickers (correct answer)
- 585 stickers
- 734 stickers
Explanation: Maya's total after receiving more stickers is 458 plus 276, which is 734, and after giving away 139, she has 734 minus 139, which is 595 stickers, matching choice B. Choices A and C reflect small errors in the subtraction step. Choice D stops after the addition and never subtracts the stickers she gave away.
Question 9
Emma collected 347 cans in October and 286 cans in November. How many cans in all?
- 61 cans
- 634 cans
- 633 cans (correct answer)
- 523 cans
Explanation: 633 cans is correct because 347 plus 286 equals 633. 61 cans is incorrect because it subtracts the two amounts instead of adding them. 634 cans is incorrect because it is off by one from the correct sum. 523 cans is incorrect because it does not match adding 347 and 286.
Question 10
The library had 500 books. 237 books were checked out. How many books are left?
- 263 books (correct answer)
- 373 books
- 337 books
- 267 books
Explanation: Subtracting 237 from 500 gives 263 books remaining. Choice B and Choice C both come from subtraction errors involving the hundreds and tens digits. Choice D comes from a similar subtraction slip in the ones place.
Question 11
Emma collected 347 cans in October and 286 cans in November. How many cans did she collect in all?
- 633 cans (correct answer)
- 61 cans
- 523 cans
- 632 cans
Explanation: Emma collected 347 + 286 = 633 cans in all, so Choice A is correct. Choice B (61 cans) comes from subtracting instead of adding, 347 - 286 = 61. Choice C (523 cans) and Choice D (632 cans) come from addition errors, such as misaligning place values when adding the hundreds, tens, and ones.
Question 12
Carlos had 268 stickers. He got 157 more and gave away 94. How many stickers does he have now?
- 519 stickers
- 425 stickers
- 321 stickers
- 331 stickers (correct answer)
Explanation: 268 plus 157 equals 425, and 425 minus 94 equals 331 stickers, so D is correct. Choice A (519) adds all three numbers instead of subtracting the giveaway amount. Choice B (425) stops after adding, without subtracting the stickers given away. Choice C (321) is close to but not equal to the correct difference.
Question 13
Marcus scored 425 points in the first game and 386 points in the second game. How many points did he score altogether?
- 39 points
- 811 points (correct answer)
- 711 points
- 801 points
Explanation: Marcus scored 425 + 386 = 811 points altogether, so Choice B is correct. Choice A (39 points) comes from subtracting instead of adding, 425 - 386 = 39. Choice C (711 points) and Choice D (801 points) come from addition errors, such as misaligning place values when adding the hundreds, tens, and ones.
Question 14
A store had 800 apples. They sold 345 apples on Monday and 167 apples on Tuesday. How many apples does the store have left?
- 633
- 455
- 288 (correct answer)
- 512
Explanation: This is a two-step subtraction word problem where you need to find how many items remain after multiple sales. When you see problems about things being "sold" or "used up," you're working with subtraction to find what's left over.
Let's work through this step by step. The store started with 800 apples. They sold apples on two different days, so you need to subtract both amounts from the original total.
First, add up all the apples that were sold: 345+167=512 apples sold in total.
Then subtract this total from the original amount: 800−512=288 apples remaining.
Looking at the wrong answers: Choice A (633) comes from only subtracting Tuesday's sales: 800−167=633. This ignores Monday's sales completely. Choice B (455) results from only subtracting Monday's sales: 800−345=455, forgetting about Tuesday. Choice D (512) is actually the total number of apples sold, not the number remaining - this happens when students add the daily sales but forget to subtract from the starting amount.
The correct answer is C (288).
Study tip: In multi-step word problems, always identify what happened on each day or step, then combine those amounts before doing your final calculation. Double-check that you're answering the right question - here it asks for apples "left," not apples "sold." Question 15
At a zoo, there were 156 visitors in the morning and 279 visitors in the afternoon. If 85 visitors left early, how many visitors were still at the zoo?
- 194
- 435
- 520
- 350 (correct answer)
Explanation: This is a multi-step word problem that combines addition and subtraction. When you see a problem with multiple groups of people or things coming and going, break it down step by step and identify what the question is really asking.
First, you need to find the total number of visitors who came to the zoo. Add the morning visitors and afternoon visitors: 156+279=435 total visitors arrived at the zoo.
Next, since 85 visitors left early, you subtract them from the total: 435−85=350 visitors remaining at the zoo. This confirms that answer D) 350 is correct.
Let's look at why the other answers are wrong. Answer A) 194 likely comes from subtracting both the afternoon visitors and the early leavers from the morning total (156−85+279), which mixes up the operations. Answer B) 435 is the trap of stopping after the first step - this gives you the total who arrived, but ignores that 85 people left. Answer C) 520 probably comes from adding all three numbers together (156+279+85), treating the people who left as if they were additional visitors instead of subtracting them.
When solving multi-step word problems, always read carefully to identify each operation needed. Ask yourself: "What am I looking for?" and "What information do I need to get there?" Write down each step to avoid getting confused about whether to add or subtract each number. Question 16
Maya collected 429 shells on Saturday and some shells on Sunday. After giving 158 shells to her sister, she had 394 shells left. How many shells did Maya collect on Sunday?
- 123 (correct answer)
- 265
- 271
- 552
Explanation: Maya had 394 shells left plus the 158 she gave away, which is 552 total shells, and subtracting the 429 she collected Saturday leaves 123 shells collected Sunday. Choice B (265) comes from subtracting 158 from 429 instead of solving for Sunday's shells. Choice C (271) comes from subtracting 429 from 394 without accounting for the shells given away, then adjusting incorrectly. Choice D (552) is the total shells before giving any away, not the amount collected on Sunday.
Question 17
Marcus collected 247 stickers in January and 389 stickers in February. He gave away 156 stickers to his friends. How many stickers does Marcus have left?
- 480 stickers (correct answer)
- 636 stickers
- 792 stickers
- 324 stickers
Explanation: First, add the stickers collected: 247 + 389 = 636. Then subtract the stickers given away: 636 - 156 = 480. Choice B shows only the addition step. Choice C shows adding all three numbers instead of subtracting. Choice D shows subtracting 156 from 247 and adding 389.
Question 18
Amir needs 650 tickets for a prize. He already has 385 tickets. How many more tickets are needed?
- 1,035 tickets
- 265 tickets (correct answer)
- 365 tickets
- 275 tickets
Explanation: Subtracting 385 from 650 gives 650 minus 385, which is 265 tickets. Choice A, 1,035 tickets, comes from adding the two ticket counts instead of subtracting. Choice C, 365 tickets, comes from an error in regrouping during subtraction. Choice D, 275 tickets, comes from a small subtraction error.
Question 19
A community center packed 642 meals. Then 387 meals were delivered. How many meals remain?
- 255 meals (correct answer)
- 355 meals
- 265 meals
- 1,029 meals
Explanation: Subtracting 387 delivered meals from 642 packed meals gives 642 minus 387, which is 255 meals, matching choice A. Choices B and C reflect small errors in the subtraction. Choice D adds the two numbers instead of subtracting them.
Question 20
Yuki counted 294 birds on Saturday and 378 birds on Sunday. What is the total number of birds Yuki counted?
- 562 birds
- 671 birds
- 682 birds
- 672 birds (correct answer)
Explanation: Adding 294 and 378 gives a total of 672 birds. Choice A (562 birds) comes from an addition error in the hundreds place. Choice B (671 birds) is off by one from the correct total. Choice C (682 birds) is off by ten from the correct total.