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During a scout troop supply sort, 336 trail-mix pouches are shared equally into 12 group bins; how many pouches go in each bin? | Division means splitting a total into equal parts. Here the total is 336 pouches and there are 12 equal bins. Compute 336 ÷ 12: since 12 × 20 = 240 and 12 × 8 = 96, we get 20 + 8 = 28. | 28 | 3 | division | concept_then_example | scout troop | false |
A tea shop has 33 tins of tea and splits them into 3 equal display boxes; later each box gets 17 more tins, and the shop has 5 chairs in the corner. How many tins are in each box at the end? | First split: 33 ÷ 3 = 11 tins per box. Then add 17 more to each box: 11 + 17 = 28. The 5 chairs do not affect the tea count. Another way: total after adding is 33 + 3 × 17 = 33 + 51 = 84, and 84 ÷ 3 = 28. | 28 | 4 | multi-step | two_methods | tea shop | false |
Yusuf is stocking a recording studio with drumsticks: he opens 3 packs of 11 and then finds 44 more in the closet, while the studio clock shows 12 o'clock. How many drumsticks does Yusuf have in all? | The clock time is irrelevant. First, 3 packs of 11 give 3 × 11 = 33 drumsticks. Then add the 44 extra: 33 + 44 = 77. | 77 | 4 | multi-step | real_world_planning | recording studio | false |
Alejandro sees a library book fine of $85.50 and pays $66.41 of it; how much does he still owe? | Estimate: $85.50 - $66.41 is close to $86 - $66 = $20. Exactly: subtract dollars and cents: 85.50 - 66.41 = 19.09. This is reasonable because it is just under the estimated $20. | 19.09 | 5 | decimal subtraction | estimate_then_solve | public library | false |
At the harbor, Lars packs 7 crates with 7 life jackets each, then gives away 37 jackets to a passing boat; the dock has 30 posts. How many life jackets remain? | Teacher-style steps: First find the total packed: 7 × 7 = 49 jackets. Then subtract the jackets given away: 49 - 37 = 12. The 30 dock posts are extra information and do not change the count. | 12 | 3 | multi-step | textbook_example | harbor | false |
Selin measures a triangular ski-lodge sign with side lengths 24 cm, 13 cm, and 21 cm; what is its perimeter? | Perimeter is the total distance around the shape. Add all three sides: 24 + 13 + 21 = 58 cm. Another way: add 24 + 21 = 45 first, then add 13 to get 58 cm. | 58 | 3 | perimeter | two_methods | ski lodge | false |
The chess club arranges 53 groups of 15 score sheets for a tournament; how many score sheets are needed? | Teacher-style steps: Multiplying by 15 can be done as 15 = 10 + 5. First, 53 × 10 = 530. Next, 53 × 5 = 265. Add the partial products: 530 + 265 = 795 score sheets. | 795 | 4 | multiplication | textbook_example | chess club | false |
Valentina writes 15 + 2 × 7 - 8 for a quilting circle calculation. A student answers 111, but what is the correct value? | The incorrect answer 111 comes from working strictly left to right: (15 + 2) × 7 - 8 = 119 - 8 = 111. The error is ignoring order of operations. Multiplication must be done first: 2 × 7 = 14, so the expression becomes 15 + 14 - 8 = 29 - 8 = 21. | 21 | 5 | order of operations | find_the_mistake | quilting circle | false |
Hiroshi has 80 swim caps and packs them into groups of 6; if no caps may be left out, how many groups are needed? | Method 1: Divide and round up. 80 ÷ 6 = 13 remainder 2, so 13 full groups leave 2 caps out; one more group is needed, giving 14 groups. Method 2: Check capacity. 13 groups hold 13 × 6 = 78 caps, which is not enough, while 14 groups hold 14 × 6 = 84 caps, enough for all 80 with none left out. | 14 | 4 | division with remainder | two_methods | swimming meet | false |
A recycling drive collects 12 bins with 10 bottles in each; how many bottles are collected? | Estimate: 12 × 10 is exactly 120, and 12 × 10 is a round product. Exactly: 12 groups of 10 means 12 × 10 = 120 bottles. The check is immediate because multiplying by 10 appends a zero to 12. | 120 | 3 | multiplication | estimate_then_solve | recycling drive | true |
In a school election, ballots are counted in batches that are multiples of 7; what is the 9th multiple of 7? | Estimate: the 10th multiple would be 70, so the 9th should be a little less. Exactly: the 9th multiple of 7 is 7 × 9 = 63. This checks because 70 - 7 = 63. | 63 | 3 | multiples | estimate_then_solve | school election | true |
Naomi mixes 108 ounces of formula for 12 equal nursery bottles; what is the amount per bottle? | A student incorrectly subtracts: 108 - 12 = 96 ounces per bottle, which would make one bottle enormous. Equal parts require division: 108 ÷ 12 = 9 ounces per bottle. Check: 12 × 9 = 108. | 9 | 6 | unit rate | find_the_mistake | zoo nursery | false |
A wildlife park ticket machine receives $77.29 and refunds $8.47; how much money is left? | Estimate: $77.29 - $8.47 is about $77 - $8 = $69. Exactly: 77.29 - 8.47 = 68.82. This is reasonable because $68.82 is close to the estimated $69. | 68.82 | 5 | decimal subtraction | estimate_then_solve | wildlife park | false |
Lars is scheduling basketball league games using the pattern 5, 20, 35, 50; what is the number of the 9th term? | The pattern increases by 15 each term. From term 1 to term 9 there are 8 jumps, so term 9 = 5 + 8 × 15 = 5 + 120 = 125. Step by step: 5, 20, 35, 50, 65, 80, 95, 110, 125. | 125 | 3 | number patterns | real_world_planning | basketball league | false |
A lemonade stand starts with 9 packs of 21 cups and adds 56 more cups, while 12 straws sit in a drawer; how many cups are there now? | Estimate: 9 × 21 is about 9 × 20 = 180, then adding about 60 gives about 240. Exactly: 9 × 21 = 189 cups; add 56 more: 189 + 56 = 245. The 12 straws are irrelevant. The result 245 is reasonable next to the estimate. | 245 | 5 | multi-step | estimate_then_solve | lemonade stand | false |
A summer reading program combines 917 mystery books with 980 science books; how many books are combined? | Teacher-style steps: Add the ones: 7 + 0 = 7. Add the tens: 1 + 8 = 9 tens, write 9. Add the hundreds: 9 + 9 = 18 hundreds, which is 1 thousand and 8 hundreds. Combine the place values: 1 thousand, 8 hundreds, 9 tens, and 7 ones make 1897 books. | 1897 | 3 | addition | textbook_example | summer reading program | false |
A greenhouse has 7 packs of 15 seed packets and then receives 18 more, with 4 garden benches nearby; how many seed packets are there in all? | First multiply the packs: 7 × 15 = 105 seed packets. Then add the new packets: 105 + 18 = 123. The 4 benches are extra information and do not affect the seed count. | 123 | 3 | multi-step | word_problem | greenhouse | false |
At a street market, Benedikt buys a $60 jacket at 10% off; what is the sale price? | Method 1: Find the discount: 10% of $60 = 0.10 × 60 = $6. Subtract it: $60 - $6 = $54. Method 2: A 10% discount means paying 90%: 0.90 × 60 = $54. Both methods give the same sale price. | 54 | 6 | discounts | two_methods | street market | false |
A carpentry project starts at 4:15 PM and lasts 95 minutes; what time does it end? | Elapsed time means adding minutes to the start time. 95 minutes is 1 hour and 35 minutes. Add 1 hour to 4:15 PM to get 5:15 PM, then add 35 minutes to get 5:50 PM. | 5:50 PM | 3 | elapsed time | concept_then_example | carpentry project | false |
At the science museum, Anaya has 16 tickets and spends 5; how many tickets are left? | Teacher-style steps: Subtraction means taking away. Start with 16 and remove 5. Count back: 15, 14, 13, 12, 11. So 16 - 5 = 11 tickets remain. | 11 | 2 | subtraction | textbook_example | science museum | false |
On a fishing trip, Siobhan writes the catch number 390740 and wants to know the value of the digit in the thousands place; what is it? | Write the place values for 390740: 3 is hundred-thousands, 9 is ten-thousands, 0 is thousands, 7 is hundreds, 4 is tens, and 0 is ones. The digit in the thousands place is 0, and its value is 0 × 1000 = 0. | 0 | 4 | place value | real_world_planning | fishing trip | false |
During a bird count, Fatima records 6271 birds and later removes 3116 duplicate sightings; how many unique birds remain? | Subtraction compares the two counts. Compute 6271 - 3116 by place value: ones 11 - 6 = 5 after borrowing; tens 6 - 1 = 5 after borrowing; hundreds 1 - 1 = 0; thousands 6 - 3 = 3. The result is 3155. | 3155 | 3 | subtraction | real_world_planning | bird count | false |
At the aquarium, Alejandro counts 41 clownfish and Tomas counts 11 more; how many clownfish are there together? | Teacher-style steps: Addition combines two groups. Add the ones: 1 + 1 = 2. Add the tens: 4 tens + 1 ten = 5 tens. Combine: 5 tens and 2 ones make 52 clownfish. | 52 | 2 | addition | textbook_example | aquarium | false |
A bicycle shop displays 10 packs of 12 helmets and then adds 15 loose helmets, with 3 water bottles on the counter; how many helmets are on display? | Multiplication followed by addition handles 'packs' plus 'loose' items. First, 10 × 12 = 120 helmets in packs. Then add 15 loose helmets: 120 + 15 = 135. The 3 water bottles are irrelevant to the helmet count. | 135 | 4 | multi-step | concept_then_example | bicycle shop | false |
The school band arranges 24 rows of 4 trumpets; how many trumpets are arranged? | Estimate: 24 × 4 is close to 25 × 4 = 100, so the answer should be a little less. Exactly: 24 × 4 = (20 × 4) + (4 × 4) = 80 + 16 = 96. This is reasonable because it is 4 less than the estimate of 100. | 96 | 4 | multiplication | estimate_then_solve | school band | false |
At the history museum, Lorenzo reads the pattern 93, 86, 79, 72 and asks for term number 8; what is it? | Each term decreases by 7. Continue the sequence: 65, 58, 51, 44, so term 8 is 44. Another way: term 8 = 93 - (8 - 1) × 7 = 93 - 49 = 44. | 44 | 3 | number patterns | two_methods | history museum | false |
At the ski lodge, Joaquin has 7/8 of a pie and eats 2/8; how much pie remains, in simplest form? | Teacher-style steps: The denominators are already the same, so subtract the numerators: 7 - 2 = 5. Keep the denominator 8: 5/8. Since 5 and 8 share no common factor besides 1, the fraction is already simplified. | 5/8 | 4 | subtracting fractions | textbook_example | ski lodge | false |
Bianca buys marathon snacks costing $19.58, $9.41, $6.53, and $16.99; what is the total cost? | Method 1: Add left to right: 19.58 + 9.41 = 28.99; 28.99 + 6.53 = 35.52; 35.52 + 16.99 = 52.51. Method 2: Add dollars and cents separately: dollars 19 + 9 + 6 + 16 = 50; cents 0.58 + 0.41 + 0.53 + 0.99 = 2.51; total 50 + 2.51 = $52.51. | 52.51 | 3 | money | two_methods | marathon | false |
Ziad saves $18 each week for 8 weeks and then spends $20 on supplies, while a jar holds 200 coins; how much money does Ziad have left? | First find total savings: $18 × 8 = $144. Then subtract the spending: $144 - $20 = $124. The 200-coin jar is irrelevant to the dollar calculation. | 124 | 5 | multi-step | concept_then_example | recording studio | false |
Silas packs a newspaper route with 9 bundles of 6 papers and gives away 18 papers, passing 5 street signs; how many papers remain? | First multiply the bundles: 9 × 6 = 54 papers. Then subtract the papers given away: 54 - 18 = 36. The 5 street signs are extra information and do not change the count. | 36 | 4 | multi-step | real_world_planning | newspaper delivery | false |
At the train station, Benedikt buys items costing $15.51 and $3.12; what is the total cost? | Money addition combines dollars and cents. Add cents first: 51 + 12 = 63 cents. Add dollars: 15 + 3 = 18 dollars. Combine them: $18.63. | 18.63 | 3 | money | concept_then_example | train station | false |
A recycling-drive poster is an L-shape made from a 14 by 16 rectangle and a 3 by 2 rectangle; what is the total area? | Teacher-style steps: Area of a rectangle is length × width. Large rectangle: 14 × 16 = 224 square units. Small rectangle: 3 × 2 = 6 square units. Total L-shaped area: 224 + 6 = 230 square units. | 230 | 4 | area | textbook_example | recycling drive | false |
In the robotics club, the pattern 61, 66, 71, 76 is used to number robots; what is term number 8? | Estimate: the pattern grows by 5 each time, so by term 8 it should be about 60 + 7 × 5 = 95. Exactly: term 8 = 61 + (8 - 1) × 5 = 61 + 35 = 96. This matches the estimate and the continued sequence 81, 86, 91, 96. | 96 | 3 | number patterns | estimate_then_solve | robotics club | false |
On a hiking trail, Ines counted 52 groups of 7 water bottles at the supply station, while Carmen tried to find the total right away. What is the total number of water bottles? | Carmen wrote 52 × 7 = 354, but she forgot that 50 groups of 7 is 350 and the remaining 2 groups add 14 more. So the correct computation is 52 × 7 = 350 + 14 = 364. | 364 | 4 | multiplication | find_the_mistake | hiking trail | false |
Arjun is planning a road trip and wants to know when the drive will end if it starts at 12:50 PM and lasts 35 minutes. What time will it end? | Start at 12:50 PM. Adding 10 minutes reaches 1:00 PM, which uses up 10 of the 35 minutes. There are 25 minutes left, so 1:00 PM + 25 minutes = 1:25 PM. | 1:25 PM | 3 | elapsed time | real_world_planning | road trip | false |
At a craft fair, Rania asks, "If there are 50 tables with 31 handmade bookmarks each, how many bookmarks are there altogether?" Magnus works it out aloud. What is the total? | Magnus says: 50 groups of 31 means 50 × 31. Since 5 × 31 = 155, then 50 × 31 = 1550. So there are 1550 bookmarks. | 1550 | 4 | multiplication | dialogue | craft fair | false |
During a cricket match, Minh asks Jamal to share 16 drinks equally among 4 teams. How many drinks does each team get? | We need to split 16 into 4 equal groups, so divide: 16 ÷ 4 = 4. Each team gets 4 drinks. | 4 | 3 | division | textbook_example | cricket match | false |
A bird count shows that groups can be multiplied by finding the total number of items in equal groups. For example, Siddharth and Jasper each watch 86 groups with 22 birds in every group. How many birds are there in all? | Multiply the number of groups by the size of each group: 86 × 22. Break it into 86 × 20 = 1720 and 86 × 2 = 172. Add the parts: 1720 + 172 = 1892. | 1892 | 4 | multiplication | concept_then_example | bird count | false |
Jonah and Chidi are counting paper for a school election and need 2 kilograms and 98 grams of ribbon expressed only in grams. How many grams is that? | First way: convert kilograms to grams, so 2 kilograms = 2000 grams; then add 98 grams to get 2098 grams. Second way: write 2 kilograms 98 grams as 2.098 kilograms and multiply by 1000, which also gives 2098 grams. | 2098 | 4 | unit conversion | two_methods | school election | false |
At a bakery, Siddharth and Nikhil buy items costing $0.97 and $18.72. How much do they spend in total? | Add the two amounts by lining up the cents: $0.97 + $18.72. The cents are 97 + 72 = 169 cents, which is $1.69, so the total is $18.00 + $1.69 = $19.69. | 19.69 | 3 | money | concept_then_example | bakery | false |
In a quilting circle, Keanu wants to use 4/8 of a 32-inch strip of fabric for Darius. How many inches should Keanu measure? | The fraction 4/8 is the same as 1/2, so we need half of 32. Half of 32 is 32 ÷ 2 = 16 inches. | 16 | 4 | fraction of a number | concept_then_example | quilting circle | false |
Javier started the ski lodge shift with 9459 hot chocolate cups stacked, and Benedikt removed 7535 of them during cleanup. How many cups are left? | Subtract the removed cups from the starting amount: 9459 - 7535. Work by place value: 9459 - 7000 = 2459, then 2459 - 535 = 1924. | 1924 | 3 | subtraction | word_problem | ski lodge | false |
At a pottery studio, Aiko asks what 80% of 40 clay pieces would be if Chidi keeps that portion for a display. How many pieces is that? | Write 80% as the decimal 0.80. Then multiply: 0.80 × 40 = 32. So 80% of 40 is 32 pieces. | 32 | 6 | percent of a number | textbook_example | pottery studio | false |
In a community garden, Matteo plants 45 rows with 7 seedlings in each row, and Kofi wants to know the total number of seedlings. What is the total? | Multiply the number of rows by the seedlings per row: 45 × 7. Use 40 × 7 = 280 and 5 × 7 = 35, then add 280 + 35 = 315. | 315 | 4 | multiplication | word_problem | community garden | false |
Gustavo is planning craft fair spending and starts with $80.29. After paying $32.42, Isaac asks how much money remains. What is the remaining amount? | Subtract the decimal amounts: 80.29 - 32.42. Borrow from the ones place so 80.29 becomes 79.129, then subtract 32.42 to get 47.87. | 47.87 | 5 | decimal subtraction | real_world_planning | craft fair | false |
Hana and Ingrid are placing 208 items from a furniture store equally into 8 delivery boxes. How many items go in each box? | Divide the total items by the number of boxes: 208 ÷ 8. Since 8 × 26 = 208, each box gets 26 items. | 26 | 3 | division | concept_then_example | furniture store | false |
Isaac recorded 348660 steps on a hiking app, and Kofi asks what this rounds to when rounded to the nearest ten. What is the rounded number? | A quick estimate is that the number is already near 348660. To round to the nearest ten, look at the ones digit, which is 0, so the number stays the same: 348660. This is reasonable because the original number already ends in a zero. | 348660 | 4 | rounding | estimate_then_solve | hiking trail | false |
Jasper and Dmitri have 43 test tubes to split into groups of 6 in a chemistry lab. How many groups are needed so that none are left out? | Divide 43 by 6: 6 × 7 = 42, leaving 1 tube over. Because that one tube cannot be left out, one more group is needed. So 7 + 1 = 8 groups. | 8 | 4 | division with remainder | concept_then_example | chemistry lab | false |
At the harbor, Rosa buys items costing $16.69, $3.59, and $16.88, then pays with a $39.00 bill. How much change should Selin receive? | First add the costs: $16.69 + $3.59 = $20.28, and $20.28 + $16.88 = $37.16. Then subtract from the payment: $39.00 - $37.16 = $1.84. | 1.84 | 4 | making change | textbook_example | harbor | false |
Oluwaseun and Arjun read a vegetable stand table showing values 7, 58, 32, 36, 26, 48, and 38. What is the difference between the largest and smallest values? | Find the largest value, 58, and the smallest value, 7. Subtract: 58 - 7 = 51. | 51 | 3 | reading a table | textbook_example | vegetable stand | false |
Matteo baked 74 muffins at a bakery, and Elif sold 59 of them before lunch. How many muffins are left? | Subtract the sold muffins from the starting number: 74 - 59. Since 74 - 60 = 14 and we subtracted one too many, add 1 back: 14 + 1 = 15. | 15 | 2 | subtraction | word_problem | bakery | false |
Seo-yeon finds that a history museum shipment weighs 7 kilograms and 310 grams, and Silas asks for the weight expressed only in grams. What is the weight in grams? | Convert kilograms to grams first: 7 kilograms = 7000 grams. Then add the extra 310 grams: 7000 + 310 = 7310 grams. | 7310 | 4 | unit conversion | textbook_example | history museum | false |
Tomas and Xiomara are planning a planetarium visit and combine 8261 adult tickets with 7470 student tickets. How many tickets are combined? | Add the two numbers: 8261 + 7470. Add thousands and hundreds: 8000 + 7000 = 15000 and 261 + 470 = 731, so 15000 + 731 = 15731. | 15731 | 3 | addition | real_world_planning | planetarium | false |
At a planetarium, Gabriel asks Paloma how many full groups of 5 can be made from 124 comet models. How many full groups are there? | Divide 124 by 5: 5 × 24 = 120, with 4 models left over. Since the question asks for full groups only, the answer is 24. | 24 | 4 | division with remainder | dialogue | planetarium | false |
Arjun starts a bicycle shop repair at 8:00 AM, and the job is expected to last 135 minutes. Seo-yeon asks when the repair will be finished. What is the end time? | A quick estimate is that 135 minutes is a little over 2 hours, so the end time should be after 10:00 AM. Exactly, 135 minutes = 120 + 15 minutes = 2 hours 15 minutes. Add that to 8:00 AM to get 10:15 AM. | 10:15 AM | 3 | elapsed time | estimate_then_solve | bicycle shop | false |
Rosa counts 22 clownfish and 33 seahorses at an aquarium, while Jamal tries to find the total number of animals. What is the total? | Jamal wrote 22 + 33 = 45, but he added the ones as 2 + 3 = 5 and the tens as 2 + 3 = 4 only in the tens place without carrying correctly; actually 20 + 30 = 50 and 2 + 3 = 5, so 22 + 33 = 55. | 55 | 2 | addition | find_the_mistake | aquarium | false |
In a chemistry lab, Quentin buys 6 packs of 22 small vials and then gives away 48 vials. Astrid asks how many vials remain, noting that the lab also has 9 goggles that do not matter. How many vials remain? | First find the total from the packs: 6 × 22 = 132 vials. Then subtract the given-away vials: 132 - 48 = 84. The 9 goggles are irrelevant to the vial count. | 84 | 3 | multi-step | textbook_example | chemistry lab | false |
A history museum tour lasts 4 hours and 7 minutes, and Aarav asks Ziad to express that time only in minutes. How many minutes is that? | A quick estimate is that 4 hours is about 240 minutes, so the answer should be a little above 240. Exactly, 4 hours × 60 = 240 minutes, and 240 + 7 = 247 minutes. | 247 | 4 | unit conversion | estimate_then_solve | history museum | false |
Mila buys 11 packs of 9 postcards at a post office and then adds 37 single stamps; Ayaan mentions that the counter has 2 mail trucks, which is irrelevant. How many items are there in all? | Multiply the packs first: 11 × 9 = 99. Then add the single stamps: 99 + 37 = 136. | 136 | 3 | multi-step | concept_then_example | post office | false |
Rania asks Mila how many minutes are in 12 hours and 48 minutes for a bookbinding workshop timer. What is the time in minutes? | Convert the hours to minutes: 12 × 60 = 720 minutes. Then add the extra 48 minutes: 720 + 48 = 768 minutes. | 768 | 4 | unit conversion | dialogue | bookbinding workshop | false |
At an airport, Siddharth and Laila watch a gate display follow the pattern 65, 80, 95, 110, and so on. What is term number 6? | Each term increases by 15. From term 1 to term 6 there are 5 increases, so the 6th term is 65 + 5 × 15 = 65 + 75 = 140. | 140 | 3 | number patterns | word_problem | airport | false |
Quentin and Siobhan need 6 yards and 2 feet of ribbon expressed only in feet for a craft fair banner. How many feet is that? | A quick estimate is that 6 yards is about 18 feet, so the answer should be just above 18. Since 1 yard = 3 feet, 6 yards = 18 feet; then 18 + 2 = 20 feet. | 20 | 4 | unit conversion | estimate_then_solve | craft fair | false |
Kalani saves $8 per week for 10 weeks and then spends $44 at a post office; Rosa notes that the stamp book has 12 pages, which is irrelevant. How much money is left? | First find the total saved: $8 × 10 = $80. Then subtract the amount spent: $80 - $44 = $36. The 12 pages do not affect the money calculation. | 36 | 3 | multi-step | dialogue | post office | true |
Magnus counts 18 kittens and 14 puppies at a pet shelter, and Bianca asks how many young animals there are in all. What is the total? | Add the two amounts: 18 + 14. Add ones: 8 + 4 = 12, write 2 and carry 1; add tens: 1 + 1 + 1 = 3, giving 32. | 32 | 2 | addition | word_problem | pet shelter | false |
In a robotics club, Benedikt says one motor uses 1/3 of a battery pack and Matteo says another uses 2/3. What is the total fraction of the battery pack used, in simplest form? | The fractions have the same denominator, so add the numerators: 1/3 + 2/3 = 3/3. Since 3/3 means one whole, the simplified answer is 1. | 1 | 4 | adding fractions | textbook_example | robotics club | false |
Hana and Kalani read a bus route table with values 16, 50, 4, 41, 16, and 37. What is the difference between the largest and smallest values? | The largest value is 50 and the smallest is 4. A student subtracted 50 - 16 = 34, but that is not the smallest value. The correct subtraction is 50 - 4 = 46. | 46 | 3 | reading a table | find_the_mistake | bus route | false |
At a zoo nursery, Ziad needs to record 1 liters and 659 milliliters of formula as only milliliters for Aziz. How many milliliters is that? | Convert liters to milliliters: 1 liter = 1000 milliliters. Then add the extra 659 milliliters: 1000 + 659 = 1659 milliliters. | 1659 | 4 | unit conversion | word_problem | zoo nursery | false |
Mila and Rania buy kitchen items costing $18.32 and $2.45. What is the total cost? | Add dollars and cents: $18.32 + $2.45. The cents are 32 + 45 = 77 cents, and the dollars are 18 + 2 = 20 dollars, so the total is $20.77. | 20.77 | 3 | money | concept_then_example | kitchen | false |
Ayaan and Niamh at a lemonade stand want to split 52 lemons and 16 sugar packets into the largest equal groups possible. What is the greatest common factor of 52 and 16? | List factors of 52: 1, 2, 4, 13, 26, 52. List factors of 16: 1, 2, 4, 8, 16. The greatest common factor is 4. | 4 | 5 | greatest common factor | textbook_example | lemonade stand | false |
Kofi and Leila are setting a dance recital stage with a shape whose side lengths are 11, 21, 13, and 7. What is the perimeter of the shape? | Add all the side lengths: 11 + 21 + 13 + 7. First 11 + 21 = 32 and 13 + 7 = 20, then 32 + 20 = 52. | 52 | 3 | perimeter | concept_then_example | dance recital | false |
Rafael and Astrid have 36 items on a bus route that are split into 3 equal groups, and then each group gets 16 more items. Astrid notes that the bus has 2 emergency hammers, which is irrelevant. How many items are in each group at the end? | First way: 36 ÷ 3 = 12 items in each group, then add 16 more: 12 + 16 = 28. Second way: add the extra items to the total first, 3 × 16 = 48, so 36 + 48 = 84, then divide 84 ÷ 3 = 28. | 28 | 4 | multi-step | two_methods | bus route | false |
At the pet shelter, Arjun notices that the number of dogs adopted in the first four weeks is 55, 61, 67, and 73. Rohan says the same pattern continues each week. If the pattern keeps going, how many dogs will be adopted in week 10? | The counts increase by the same amount each week: 61 - 55 = 6, 67 - 61 = 6, and 73 - 67 = 6. From week 1 to week 10 there are 9 jumps of 6. So the week 10 count is 55 + 9 x 6 = 55 + 54 = 109. | 109 | 3 | number patterns | word_problem | pet shelter | false |
Bilal harvests 48 small jars of honey and shares them equally between 2 farmers markets. Zara needs to know the fair amount for each market. How many jars does each market get? | Sharing equally means dividing the total into 2 equal groups. Compute 48 / 2 = 24. Check: 24 + 24 = 48, so the split is fair. Each market gets 24 jars. | 24 | 3 | division | word_problem | beekeeping | false |
In Rania's pottery studio, 1/4 of the 8 clay bricks are to be used for one project. Gustavo asks the teacher-style question: What is 1/4 of 8? | To find 1/4 of a number, split the number into 4 equal parts and take one part. Since 8 / 4 = 2, one equal part is 2. Check: 2 + 2 + 2 + 2 = 8, so four parts of 2 make 8. The answer is 2. | 2 | 4 | fraction of a number | textbook_example | pottery studio | true |
Combining two amounts means adding them to find the total. In the recording studio, Dmitri logs 4 vocal tracks and Darius logs 2 more. How many vocal tracks are there altogether? | Addition combines the two groups. Add 4 + 2 = 6. So there are 6 vocal tracks altogether. | 6 | 2 | addition | concept_then_example | recording studio | true |
Before the road trip, Tariq measures a storage box as 4 feet 8 inches long, but Emeka's packing list uses only inches. What is the length in inches? | Convert the feet to inches first: 4 feet = 4 x 12 = 48 inches. Then add the extra 8 inches: 48 + 8 = 56 inches. The box is 56 inches long. | 56 | 4 | unit conversion | real_world_planning | road trip | false |
At the vegetable stand, Santiago weighs out 81.79 kg of carrots and Annika adds 3.79 kg more. What is the total weight? | Annika first tried 81.79 + 3.79 = 84.158, which is wrong because the decimal points were not kept in the same columns. Line up the decimals and add: hundredths 9 + 9 = 18, write 8 and carry 1; tenths 7 + 7 + 1 = 15, write 5 and carry 1; ones 1 + 3 + 1 = 5; tens stay 8. The total is 85.58 kg. | 85.58 | 5 | decimal addition | find_the_mistake | vegetable stand | false |
At space camp, Javier and Kofi see a countdown of 33, 30, 27, and 24 fuel cells remaining at the first four checks. They need to plan for the sixth check. If the same pattern continues, how many fuel cells remain at check 6? | The sequence decreases by 3 each time: 33 to 30 is minus 3, 30 to 27 is minus 3, and 27 to 24 is minus 3. From check 1 to check 6 there are 5 decreases, so 33 - 5 x 3 = 33 - 15 = 18. The sixth check shows 18 fuel cells. | 18 | 3 | number patterns | real_world_planning | space camp | false |
Dmitri and Valentina are arranging street-market stalls in a pattern of 77, 88, 99, and 110 flyers. The pattern continues the same way. What is the 10th number in the pattern? | Way 1: continue the list by adding 11 each time: 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, so the 10th term is 176. Way 2: the first term is 77 and the jump is 11, so term 10 = 77 + (10 - 1) x 11 = 77 + 99 = 176. Both ways give 176. | 176 | 3 | number patterns | two_methods | street market | false |
On the hiking trail, Anaya counts markers in a 1:2 ratio of red markers to blue markers. If there are 4 red markers, how many blue markers are there? | A ratio of 1:2 means for every 1 red marker there are 2 blue markers. Since 1 part represents 4 markers, the blue markers are 2 parts: 2 x 4 = 8. Check: 4:8 simplifies to 1:2. There are 8 blue markers. | 8 | 6 | ratios | textbook_example | hiking trail | false |
Gustavo has 180 nursery cups to share equally among 10 animal-care stations. Yusuf asks: What is the exact number of cups for each station? | Quick estimate: 180 divided by 10 should be a little below 20, because 180 / 9 = 20. Exact division: 180 / 10 = 18. Check: 18 x 10 = 180, and 18 is reasonably close to the estimate. Each station gets 18 cups. | 18 | 3 | division | estimate_then_solve | zoo nursery | false |
In the tea shop, Selin needs the area of a rectangular tray that is 28 by 15. What is the area? | Selin first tried 28 + 15 = 43, but that adds only two sides and does not cover the whole rectangle. The area of a rectangle is length x width. Compute 28 x 15 = 28 x (10 + 5) = 280 + 140 = 420. The area is 420 square units. | 420 | 3 | area | find_the_mistake | tea shop | false |
Farah's food bank receives 12 packs with 7 cans in each pack, then Adaeze adds 25 more cans. The warehouse happens to have 3 loading doors. How many cans are there now? | Use only the can counts; the 3 loading doors is extra information. First multiply: 12 x 7 = 84 cans in the packs. Then add the extra cans: 84 + 25 = 109. There are 109 cans now. | 109 | 5 | multi-step | textbook_example | food bank | false |
Hana has read 18 books this summer and Esme has read 8 books. How many more books has Hana read than Esme? | Subtraction compares how many more one amount is than another. Take Esme's amount away from Hana's: 18 - 8 = 10. Hana has read 10 more books. | 10 | 2 | subtraction | textbook_example | summer reading program | false |
Area is the number of square units needed to cover a flat shape, and a rectangle's area is found by multiplying length by width. The robotics club needs the area of a rectangular test mat that is 30 cm by 5 cm. What is its area? | Multiply the length by the width: 30 x 5 = 150. The mat has an area of 150 square centimeters. | 150 | 3 | area | concept_then_example | robotics club | false |
In the tailor shop, Darius receives 9 boxes with 11 spools of thread in each box, then Saanvi adds 47 more spools. The shop has 12 mannequins. How many spools of thread are there now? | The 12 mannequins is extra information, so do not use it. First multiply: 9 x 11 = 99 spools in the boxes. Then add the extra spools: 99 + 47 = 146. There are 146 spools now. | 146 | 4 | multi-step | textbook_example | tailor shop | false |
At the harbor, the ratio of fishing boats to sailboats is 3:2. Yusuf sees 9 fishing boats. How many sailboats are there? | Quick estimate: if 3 parts equal 9 boats, then 1 part is about 3 boats, so 2 parts should be about 6 boats. Exactly: 9 / 3 = 3 boats per part, and the sailboats are 2 parts: 2 x 3 = 6. Check: 9:6 simplifies to 3:2. There are 6 sailboats. | 6 | 6 | ratios | estimate_then_solve | harbor | true |
Elif and Joaquin bowl five games with scores 60, 18, 32, 48, and 7. What is their mean score? | Quick estimate: the scores add to about 160, and 160 / 5 is about 32, so the mean should be in the low 30s. Exactly: 60 + 18 + 32 + 48 + 7 = 165, and 165 / 5 = 33. Check: 33 x 5 = 165. The mean score is 33. | 33 | 5 | mean | estimate_then_solve | bowling alley | false |
Pablo's recording studio log lists minutes by instrument: vocals 30, drums 41, bass 17, guitar 5, and keys 22. Valentina asks: What is the total number of logged minutes? | Add every value in the table. One grouping is 30 + 41 = 71, 17 + 5 = 22, and then 71 + 22 + 22 = 115. Check by regrouping: 30 + 5 = 35, 41 + 22 = 63, and 35 + 63 + 17 = 115. The total is 115 minutes. | 115 | 3 | reading a table | textbook_example | recording studio | false |
Silas and Oscar plan a bus route with 78 passengers and 6 seats in each row. They want the largest equal group size that fits both numbers exactly. What is that group size? | Silas first tried 3 because 3 divides both 78 and 6, but that is only a common factor, not necessarily the greatest. List the factors of 6: 1, 2, 3, and 6. Since 6 also divides 78 exactly, 78 / 6 = 13, the greatest common factor is 6. The largest equal group size is 6. | 6 | 5 | greatest common factor | find_the_mistake | bus route | false |
Wren's bookbinding workshop starts at 6:55 PM and lasts 35 minutes. Malik asks: What time does the workshop end? | First count from 6:55 PM to 7:00 PM, which is 5 minutes. The workshop has 35 - 5 = 30 minutes left after 7:00 PM. Adding 30 minutes to 7:00 PM gives 7:30 PM. The workshop ends at 7:30 PM. | 7:30 PM | 3 | elapsed time | textbook_example | bookbinding workshop | false |
Nikhil reads a history museum table with five category values: 49, 7, 40, 34, and 49. Ines asks: What is the difference between the largest and smallest categories? | Quick estimate: the largest value is about 50 and the smallest is under 10, so the difference should be a little above 40. Exactly, the largest value is 49 and the smallest is 7, so 49 - 7 = 42. Check: 7 + 42 = 49. The difference is 42. | 42 | 3 | reading a table | estimate_then_solve | history museum | false |
A ratio compares parts of a whole, so if the first kind has 2 parts and the second kind has 1 part, the second kind is half of the first. At the pet shelter, Dmitri and Felix count cats and dogs in a 2:1 ratio. If there are 18 cats, how many dogs are there? | The 18 cats represent 2 parts. One part is 18 / 2 = 9. The dogs represent 1 part, so there are 9 dogs. Check: 18:9 simplifies to 2:1. There are 9 dogs. | 9 | 6 | ratios | concept_then_example | pet shelter | false |
A multi-step problem uses multiplication or division before addition, and extra numbers should be ignored. Jamal's zoo nursery has 9 packs with 6 bottles each, then Bianca adds 19 more bottles. There are 11 volunteers. How many bottles are there now? | Ignore the 11 volunteers. Multiply the packs and bottles: 9 x 6 = 54. Then add the extra bottles: 54 + 19 = 73. There are 73 bottles now. | 73 | 5 | multi-step | concept_then_example | zoo nursery | false |
Ingrid and Oluwaseun survey a coral shape with side lengths 18, 16, 5, 17, 8, and 19. What is the perimeter? | Oluwaseun first tried adding only the three longest sides, 19 + 18 + 17 = 54, but perimeter uses every side of the shape. Add all six sides: 18 + 16 + 5 + 17 + 8 + 19 = 83. Check by grouping: (18 + 17 + 8) + (16 + 5 + 19) = 43 + 40 = 83. The perimeter is 83. | 83 | 3 | perimeter | find_the_mistake | coral reef survey | false |
Saanvi and Kalani's film club wants to split 52 film reels and 44 posters into the largest equal groups with none left over. What is the largest possible group size? | Find the greatest common factor of 52 and 44. The factors of 52 are 1, 2, 4, 13, 26, and 52; the factors of 44 are 1, 2, 4, 11, 22, and 44. The largest factor both share is 4. Check: 52 / 4 = 13 and 44 / 4 = 11, with nothing left over. The largest group size is 4. | 4 | 5 | greatest common factor | textbook_example | film club | false |
Tariq's art class makes an L-shape from a 17 by 13 rectangle and a separate 10 by 5 rectangle. What is the total area? | Quick estimate: 17 x 13 is a little over 220, and 10 x 5 = 50, so the total should be a little over 270. Exactly: 17 x 13 = 221 and 10 x 5 = 50, so 221 + 50 = 271. The total area is 271 square units. | 271 | 4 | area | estimate_then_solve | art class | false |
At the bakery, Annika and Oluwaseun start with 9 loaves split into 3 equal groups, then each group gets 10 more loaves. The bakery has 5 ovens. How many loaves are in each group at the end? | Quick estimate: 9 split into 3 groups is 3 each, and after adding 10 more the result should be about 13. Exactly: 9 / 3 = 3 loaves at first, then 3 + 10 = 13. Check backward: each final group has 13, removing 10 leaves 3, and 3 x 3 = 9. Each group ends with 13 loaves. | 13 | 5 | multi-step | estimate_then_solve | bakery | false |
Elapsed time is found by subtracting the start time from the end time; when the times cross an hour, count the minutes to the hour and then past the hour. Zara's bird count starts at 10:20 AM and ends at 11:10 AM. How many minutes did it last? | From 10:20 AM to 11:00 AM is 40 minutes. From 11:00 AM to 11:10 AM is 10 more minutes. Add them: 40 + 10 = 50 minutes. The bird count lasted 50 minutes. | 50 | 3 | elapsed time | concept_then_example | bird count | false |
Silas and Astrid make 56 comet models at the planetarium in 4 equal teams. What is the unit rate, meaning the number of models per team? | A unit rate is the amount for one part, so divide the total by the number of parts. Compute 56 / 4 = 14 models per team. Check: 14 x 4 = 56. Each team makes 14 models. | 14 | 6 | unit rate | textbook_example | planetarium | false |
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