Common Core Standard 4.NBT.B.5
This standard covers the following:
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Problem: A police department issues 65 tickets each day for 34 days. How many tickets did they issue in total?
InternLM-Math Base 7B:
Reasoning: 65*34= <<65*34=2210>>2210 ### Answer: 2210
Expected answer: 2210
Correct? Yes
Problem: A windmill generates 8086 kilowatts of electricity every day. How much electricity will it generate in 7 days?
InternLM-Math Base 7B:
Reasoning: 8086*7 = <<8086*7=56602>>56602 ### Answer: 56602
Expected answer: 56602
Correct? Yes
Problem: If the windmill generated 5447 kilowatts of electricity daily instead of 8086 kilowatts, how much electricity would it generate in 7 days?
InternLM-Math Base 7B:
Reasoning: 5447*7 = <<5447*7=38129>>38129 ### Answer: 38129
Expected answer: 38129
Correct? Yes
Problem: A company produces 55 tubes of toothpaste every hour for 35 hours. How many tubes of toothpaste did they produce?
InternLM-Math Base 7B:
Reasoning: The company produced 55x35 = <<55x35=1925>>1925 tubes of toothpaste. ### Answer: 1925
Expected answer: 1925
Correct? Yes
Problem: Instead of producing toothpaste for 35 hours, the company decided to increase their production time to 316 hours, still producing 55 tubes of toothpaste every hour. How many tubes of toothpaste did they produce now?
InternLM-Math Base 7B:
Reasoning: The company produced 55x316 = <<55x316=17480>>17,480 tubes of toothpaste. ### Answer: 17480
Expected answer: 17380
Correct? No
Problem: A company produces 96 unique keys per day for 83 days. How many keys in total did they produce?
InternLM-Math Base 7B:
Expected answer: 7968
Correct? No
Problem: A company produces 9212 balls of a specific type every day for 9 consecutive days. How many balls did they produce overall?
InternLM-Math Base 7B:
Expected answer: 82908
Correct? No
Problem: A school bus can carry 6353 students. If there is only 1 bus available, how many students can it carry?
InternLM-Math Base 7B:
Reasoning: 6353/1 = <<6353/1=6353>>6353 ### Answer: 6353
Expected answer: 6353
Correct? Yes
Problem: Now, imagine if the school bus could only carry 229 students instead of 6353. How many students can this bus carry?
InternLM-Math Base 7B:
Reasoning: 229/1 = <<229/1=229>>229 ### Answer: 229
Expected answer: 229
Correct? Yes
Problem: A pirate ship has 76 cannons, each firing 45 cannonballs in a battle. How many cannonballs does the pirate ship fire in total?
InternLM-Math Base 7B:
Reasoning: 45*76 = <<45*76=3420>>3420 ### Answer: 3420
Expected answer: 3420
Correct? Yes
Problem: Considering the same pirate ship, what if instead of firing 45 cannonballs per cannon, each of the 76 cannons fired 708 cannonballs in a battle? How many cannonballs does the pirate ship fire in total now?
InternLM-Math Base 7B:
Reasoning: 708*76 = <<708*76=53728>>53728 ### Answer: 53728
Expected answer: 53808
Correct? No
Problem: A bus can carry 5244 passengers. How many passengers can 5 buses carry in total?
InternLM-Math Base 7B:
Reasoning: 5 buses can carry 5244*5 = <<5244*5=26220>>26220 passengers in total. ### Answer: 26220
Expected answer: 26220
Correct? Yes
Problem: Following from the previous problem, imagine instead that each bus can carry 8347 passengers. How many passengers can 5 buses carry in total now?
InternLM-Math Base 7B:
Reasoning: 5 buses can carry 8347*5 = <<8347*5=41735>>41735 passengers in total. ### Answer: 41735
Expected answer: 41735
Correct? Yes
Problem: A friend of yours has been saving money for 2 years. Every year, they manage to save $2008. How much money have they saved in total?
InternLM-Math Base 7B:
Reasoning: <<2008*2=4016>>4016 ### Answer: 4016
Expected answer: 4016
Correct? Yes
Problem: In response to the previous situation with your friend, imagine instead that they were able to save just $125 every year for those same 2 years. How much would they have managed to save under these circumstances?
InternLM-Math Base 7B:
Reasoning: <<125*2=250>>250 ### Answer: 250
Expected answer: 250
Correct? Yes
Problem: A chocolate factory produces 4916 chocolate bars every hour for 4 hours. How many chocolate bars did they produce?
InternLM-Math Base 7B:
Expected answer: 19664
Correct? No
Problem: A pirate found a hidden treasure, which contains 91 chests, each chest holding 55 gold coins. How many gold coins did the pirate find in total?
InternLM-Math Base 7B:
Reasoning: 91*55= <<91*55=5045>>5045 ### Answer: 5045
Expected answer: 5005
Correct? No
Problem: A farmer grows 50 bunches of grapes and each bunch has 12 grapes each. How many grapes did the farmer grow in total?
InternLM-Math Base 7B:
Reasoning: 50*12 = <<50*12=600>>600 ### Answer: 600
Expected answer: 600
Correct? Yes
Problem: If instead of 50 bunches of grapes, the farmer had 6804 bunches of grapes, each with 12 grapes, how many grapes did the farmer grow in total?
InternLM-Math Base 7B:
Reasoning: 6804*12 = <<6804*12=81528>>81528 ### Answer: 81528
Expected answer: 81648
Correct? No
Problem: A helicopter can carry 64 pounds every minute. If it works continuously for 75 minutes, how many pounds can the helicopter carry?
InternLM-Math Base 7B:
Reasoning: 64*75 = <<64*75=4800>>4800 ### Answer: 4800
Expected answer: 4800
Correct? Yes
Problem: If the helicopter could actually carry 1063 pounds every minute instead of 64, how many pounds would it be able to carry in 75 minutes?
InternLM-Math Base 7B:
1063*75 = <<1063*75=79225>>79225 ### Answer: 79225
Expected answer: 79725
Correct? No
Problem: A piano manufacturer produces 4750 pianos every week for 7 weeks. How many pianos have they produced in total?
InternLM-Math Base 7B:
Reasoning: 7*4750 = <<7*4750=33,250>>33,250 ### Answer: 33,250
Expected answer: 33250
Correct? Yes
Problem: Suppose the piano manufacturer had actually produced 1339 pianos every week instead of 4750 pianos for the same 7 weeks. How many pianos would they have produced then?
InternLM-Math Base 7B:
Reasoning: 7*1339 = <<7*1339=9,373>>9,373 ### Answer: 9,373
Expected answer: 9373
Correct? Yes
Problem: A snow machine produces 8873 snowballs every hour for 8 hours. How many snowballs did it produce?
InternLM-Math Base 7B:
Reasoning: 8873*8 = <<8873*8=70184>>70184 ### Answer: 70184
Expected answer: 70984
Correct? No
Problem: A certain type of rope is produced in 84 equal strands, each measuring 75 meters long. How many meters of rope are produced in total?
InternLM-Math Base 7B:
Reasoning: 84 strands of 75 meters each = 84 â‹… 75 = 6300 meters ### Answer: 6300
Expected answer: 6300
Correct? Yes
Problem: Considering the previous scenario, let's say the machinery was recalibrated and now each of the 84 strands of rope are now 742 meters long instead of 75 meters. How long is the total length of all strands now?
InternLM-Math Base 7B:
Reasoning: 84 strands of 742 meters each = 84 â‹… 742 = 62368 meters ### Answer: 62368
Expected answer: 62328
Correct? No
Problem: A doctor treats 5837 patients each day for 8 days. How many patients has the doctor treated?
InternLM-Math Base 7B:
Reasoning: 5837*8 = <<5837*8=46696>>46696 ### Answer: 46696
Expected answer: 46696
Correct? Yes
Problem: In the previous scenario, the doctor treated 5837 patients for 8 days. Now, imagine that instead the doctor treated 7467 patients each day for the same period of 8 days. How many patients has the doctor treated now?
InternLM-Math Base 7B:
Reasoning: 7467*8 = <<7467*8=59736>>59736 ### Answer: 59736
Expected answer: 59736
Correct? Yes
Problem: A tree farmer plants 4749 trees each day over 6 days. How many trees did he plant in total?
InternLM-Math Base 7B:
Expected answer: 28494
Correct? No
Problem: A florist has 80 vases, each filled with 64 flowers. How many flowers are there in all the vases?
InternLM-Math Base 7B:
Reasoning: 80vases × 64flowers = <<80×64=5,120>>5,120 ### Answer: 5,120
Expected answer: 5120
Correct? Yes
Problem: Suppose now that each vase is filled with 891 flowers instead of 64 flowers. How many flowers are there in all the vases now?
InternLM-Math Base 7B:
Reasoning: 80vases × 891flowers = <<80×891=71,280>>71,280 ### Answer: 71,280
Expected answer: 71280
Correct? Yes
Problem: A quilt maker uses 4932 pieces of cloth to make one blanket. How many pieces of cloth did he/she use?
InternLM-Math Base 7B:
Expected answer: 4932
Correct? No
Problem: A pillow maker produces 40 pillows every hour for 17 hours. How many pillows did they make?
InternLM-Math Base 7B:
Reasoning: 17*40 = <<17*40=680>>680 ### Answer: 680
Expected answer: 680
Correct? Yes
Problem: In the previous scenario, if the pillow maker increased their production rate to 460 pillows every hour while still working for the same 40 hours, how many pillows would they make then?
InternLM-Math Base 7B:
Reasoning: 40*460 = <<40*460=18,400>>18,400 ### Answer: 18,400
Expected answer: 18400
Correct? Yes
Problem: A monkey picks 9434 bananas each day for 7 days. How many bananas has the monkey picked in total?
InternLM-Math Base 7B:
Reasoning: 7*9434=<<7*9434=65,938>>65,938 ### Answer: 65,938
Expected answer: 66038
Correct? No
Problem: A ballerina performs 64 pirouettes each day for 21 days. How many pirouettes has she performed overall?
InternLM-Math Base 7B:
Reasoning: 64 pirouettes 21 days = 64 21 = 1344 pirouettes. ### Answer: 1344
Expected answer: 1344
Correct? Yes
Problem: Suppose the ballerina decided to increase her pirouettes and performed 3075 pirouettes each day for the same 21 days. How many pirouettes has she performed now?
InternLM-Math Base 7B:
Reasoning: 3075 pirouettes 21 days = 3075 21 = 64875 pirouettes. ### Answer: 64875
Expected answer: 64575
Correct? No
Problem: A school bus transports 28 students to school every day for 12 days. How many students total have been transported?
InternLM-Math Base 7B:
Reasoning: 28x12 = <<28x12=336>>336 ### Answer: 336
Expected answer: 336
Correct? Yes
Problem: Suppose the school bus capacity was increased and it could now transport 8194 students to school every day. What would be the total number of students transported to school in 12 days?
InternLM-Math Base 7B:
Reasoning: 8194x12 = <<8194x12=97328>>97328 ### Answer: 97328
Expected answer: 98328
Correct? No
Problem: A facility produces 78 balls per day for 22 days. How many balls do they produce in total?
InternLM-Math Base 7B:
Reasoning: 22*78 = <<22*78=1716>>1716 ### Answer: 1716
Expected answer: 1716
Correct? Yes
Problem: Now, imagine the facility didn't produce 78 balls per day, but massively increased production to 3263 balls per day over the same period of 22 days. How many balls do they produce in total now?
InternLM-Math Base 7B:
Reasoning: 3263*22 = <<3263*22=71,486>>71,486 ### Answer: 71,486
Expected answer: 71786
Correct? No
Problem: A glasses manufacturer produces 64 glasses per batch, and they managed to produce 22 batches in one day. How many glasses did they produce in a day?
InternLM-Math Base 7B:
Reasoning: 64*22 = <<64*22=1408>>1408 ### Answer: 1408
Expected answer: 1408
Correct? Yes
Problem: The glasses manufacturer decided to upgrade their production line, and now they are able to produce 821 glasses per batch while still maintaining 22 batches per day. How many glasses are they now able to produce in one day?
InternLM-Math Base 7B:
Reasoning: 821*22 = <<821*22=18162>>18162 ### Answer: 18162
Expected answer: 18062
Correct? No
Problem: A city bus has a regular route that is 2836 km long. If the bus travels the route 5 times, how many kilometers does it cover?
InternLM-Math Base 7B:
Reasoning: 2836 × 5 = <<2836 × 5=14180>>14180 ### Answer: 14180
Expected answer: 14180
Correct? Yes
Problem: Suppose the length of the city bus route changes to 8724 km. If the bus still travels this new route 5 times, how many kilometers does it cover now?
InternLM-Math Base 7B:
Reasoning: 8724 × 5 = <<8724 × 5=43620>>43620 ### Answer: 43620
Expected answer: 43620
Correct? Yes
Problem: A pizza restaurant sells 1959 pizzas each day for a period of 4 consecutive days. How many pizzas did they sell altogether?
InternLM-Math Base 7B:
Expected answer: 7836
Correct? No
Problem: A mouse eats 85 grains of rice per day for 93 days. How many grains of rice does the mouse eat in total?
InternLM-Math Base 7B:
Reasoning: The mouse eats 85*93 = <<85*93=7,905>>7,905 grains of rice in total. ### Answer: 7,905
Expected answer: 7905
Correct? Yes
Problem: In the previous scenario, consider that the mouse eats 625 grains of rice per day instead of 85. How many grains of rice does the mouse eat in total in the 93 days?
InternLM-Math Base 7B:
Reasoning: The mouse eats 625*93 = <<625*93=58,125>>58,125 grains of rice in total. ### Answer: 58,125
Expected answer: 58125
Correct? Yes
Problem: A building has 83 floors, and each floor has 18 windows. How many windows are there in the entire building?
InternLM-Math Base 7B:
Reasoning: 83x18 = <<83x18=1494>>1494 ### Answer: 1494
Expected answer: 1494
Correct? Yes
Problem: Suppose the building instead had 4633 floors, each with the same number of 18 windows. How many windows would there be in the entire building now?
InternLM-Math Base 7B:
Reasoning: 4633x18 = <<4633x18=83194>>83194 ### Answer: 83194
Expected answer: 83394
Correct? No
Problem: A toothpaste company produced 2917 tubes for 3 consecutive days. How many toothpaste tubes did they produce in total?
InternLM-Math Base 7B:
Reasoning: 3x <<3x=3*2917=8751>>8751 ### Answer: 8751
Expected answer: 8751
Correct? Yes
Problem: The toothpaste company changed their production and now produces 1576 tubes for 3 consecutive days. How many toothpaste tubes do they now produce in total?
InternLM-Math Base 7B:
Reasoning: 3x <<3x=3*1576=4728>>4728 ### Answer: 4728
Expected answer: 4728
Correct? Yes
Problem: A student has 90 eraser packs, each containing 81 erasers. How many erasers does the student have in total?
InternLM-Math Base 7B:
Reasoning: 90*81 = <<90*81=7290>>7290 ### Answer: 7290
Expected answer: 7290
Correct? Yes
Problem: Suppose the student's eraser pack size changes, and instead of carrying 90 packs, they now carry 584 packs, each still containing 81 erasers. How many erasers does the student have now?
InternLM-Math Base 7B:
Reasoning: 584*81 = <<584*81=47304>>47304 ### Answer: 47304
Expected answer: 47304
Correct? Yes
Problem: A baker creates 2 cakes, each requiring 2585 grams of flour. How many grams of flour does the baker need in total?
InternLM-Math Base 7B:
Reasoning: The baker needs 2*2585 = <<2*2585=5170>>5170 grams of flour in total. ### Answer: 5170
Expected answer: 5170
Correct? Yes
Problem: In the previous problem, a baker created 2 cakes, each requiring 2585 grams of flour. But now, let's say the baker decides to use a new recipe that requires 6073 grams of flour per cake instead. How many grams of flour does the baker need to make 2 cakes using the new recipe?
InternLM-Math Base 7B:
Reasoning: The baker needs 2*6073 = <<2*6073=12146>>12146 grams of flour in total. ### Answer: 12146
Expected answer: 12146
Correct? Yes
Problem: A jewelry maker designs 3 necklaces, each with 7303 beads. How many total beads did they use for the necklaces?
InternLM-Math Base 7B:
Reasoning: 3*7303= <<3*7303=21,909>>21,909 ### Answer: 21,909
Expected answer: 21909
Correct? Yes
Problem: Instead of using 7303 beads per necklace, the jewelry maker decides to use 9719 beads for each of the 3 necklaces. How many total beads did they use for the necklaces this time?
InternLM-Math Base 7B:
Reasoning: 3*9719= <<3*9719=29,157>>29,157 ### Answer: 29,157
Expected answer: 29157
Correct? Yes
Problem: A fisherman catches 30 fish each day for 16 days. How many fish has he caught in total?
InternLM-Math Base 7B:
Reasoning: 30x16 = <<30x16=480>>480 ### Answer: 480
Expected answer: 480
Correct? Yes
Problem: If the fisherman instead catches 2193 fish each day for the same 30 days, how many fish would he have caught in total?
InternLM-Math Base 7B:
Reasoning: 2193x30 = <<2193x30=65790>>65790 ### Answer: 65790
Expected answer: 65790
Correct? Yes
Problem: A paint manufacturer produces 6 batches of paint, each containing 1868 liters. How many liters in total did they produce?
InternLM-Math Base 7B:
Reasoning: 6*1868 = <<6*1868=10,008>>10,008 ### Answer: 10,008
Expected answer: 11208
Correct? No
Problem: A forest contains 74 trees and each tree produces 10 kilograms of fruits. How many kilograms of fruits does the forest produce?
InternLM-Math Base 7B:
Reasoning: 10*74 = <<10*74=740>>740 ### Answer: 740
Expected answer: 740
Correct? Yes
Problem: In the same forest, there are 5619 trees each producing 10 kilograms of fruits. How many kilograms of fruits do these trees produce?
InternLM-Math Base 7B:
Reasoning: 10*5619 = <<10*5619=56190>>56190 ### Answer: 56190
Expected answer: 56190
Correct? Yes
Problem: A farmer manages to grow 41 carrots in each of his 21 vegetable patches. How many carrots does the farmer have in total?
InternLM-Math Base 7B:
Reasoning: 21*41 = <<21*41=861>>861 ### Answer: 861
Expected answer: 861
Correct? Yes
Problem: The farmer has now evolved his farming techniques and grown a record-breaking 1194 carrots from each of his 41 vegetable patches. How many carrots does he have now?
InternLM-Math Base 7B:
Reasoning: 1194*41 = <<1194*41=48754>>48754 ### Answer: 48754
Expected answer: 48954
Correct? No
Problem: A drum manufacturer produces 3070 drums per day for 7 days. How many drums are produced in total?
InternLM-Math Base 7B:
Reasoning: 3070*7 = <<3070*7=21490>>21490 ### Answer: 21490
Expected answer: 21490
Correct? Yes
Problem: Suppose the drum manufacturer changes its production strategy and starts producing 2161 drums per day for 7 days instead of the 3070 drums per day. How many drums are now produced in total?
InternLM-Math Base 7B:
Reasoning: 2161*7 = <<2161*7=15127>>15127 ### Answer: 15127
Expected answer: 15127
Correct? Yes
Problem: A toothbrush company produces 2949 toothbrushes every hour for 6 hours. How many toothbrushes did they produce in that time?
InternLM-Math Base 7B:
Reasoning: 2949*6 = <<2949*6=17694>>17694 ### Answer: 17694
Expected answer: 17694
Correct? Yes
Problem: The toothbrush company decided to increase its production rate. So now, they produce 6645 toothbrushes every hour for the same 6 hours frame. How many toothbrushes do they produce now in that time?
InternLM-Math Base 7B:
Reasoning: 6645*6 = <<6645*6=39270>>39270 ### Answer: 39270
Expected answer: 39870
Correct? No
Problem: A farm produces 8938 liters of milk every day for 4 days. How many liters of milk did the farm produce?
InternLM-Math Base 7B:
Reasoning: 8938*4 = <<8938*4=35712>>35712 ### Answer: 35712
Expected answer: 35752
Correct? No
Problem: A puzzle creator designed 2588 puzzles each year for 9 years. How many puzzles did he design in total?
InternLM-Math Base 7B:
Reasoning: 9*2588 = <<9*2588=23,292>>23,292 ### Answer: 23,292
Expected answer: 23292
Correct? Yes
Problem: The puzzle creator decided to slightly increase his productivity and designed 2704 puzzles each year instead of 2588. How many puzzles did he design over the same 9-year period with this new rate?
InternLM-Math Base 7B:
Reasoning: 9*2704 = <<9*2704=24,336>>24,336 ### Answer: 24,336
Expected answer: 24336
Correct? Yes
Problem: A person gives 2 gifts, each worth 9797 dollars. What is the total cost of the gifts?
InternLM-Math Base 7B:
Reasoning: 2*9=18*2*7=14*2*9=1*2*9*7=<<2*9*7=18*7=126*2=252>>252 ### Answer: 252
Expected answer: 19594
Correct? No
Problem: In a video game, a player collects 1 diamond worth 6338 points. How many points has the player collected from diamonds?
InternLM-Math Base 7B:
Reasoning: 1 diamond = <<1*6338=6338>>6338 points ### Answer: 6338
Expected answer: 6338
Correct? Yes
Problem: In the same video game, consider that the player collects 1 diamond, but in this level, the diamond is worth only 166 points. How many points does the player collect from this diamond?
InternLM-Math Base 7B:
Reasoning: 1 diamond = <<1*166=166>>166 points ### Answer: 166
Expected answer: 166
Correct? Yes
Problem: A sock company packages 81 pairs of socks in one box. If they made 98 boxes, how many pairs of socks did they make?
InternLM-Math Base 7B:
Reasoning: 98 â‹… 81 = <<98â‹…81=7938>>7938 ### Answer: 7938
Expected answer: 7938
Correct? Yes
Problem: Now consider if the sock company were to package 645 pairs of socks in one box instead. If they made 98 boxes again, how many pairs of socks would they make then?
InternLM-Math Base 7B:
Reasoning: 98 â‹… 645 = <<98â‹…645=63111>>63111 ### Answer: 63111
Expected answer: 63210
Correct? No
Problem: A telescope magnifies an object 67 times and each magnification adds 86 units to the object's size. What is the total size of the object with added magnification?
InternLM-Math Base 7B:
Reasoning: 67x+86 = 67x+ <<67x+86=67x+86>>86 67x+86 = 67x+ <<67x+86=67x+67>>67 67x+67 = 67x+ <<67x+67=67x+86>>86 67x+67-67 = 67x+86-67 67x = 67x+ <<67x+67-67=67x+86-67>>19 67x-67x = 19 0 = 19 The equation 67x+86 = 67x+67 is not true.
Expected answer: 5762
Correct? No
Problem: A computer company produces 1010 computer units every day over a period of 7 days. How many computer units have they manufactured in total?
InternLM-Math Base 7B:
Expected answer: 7070
Correct? No
Problem: A musician writes a song that lasts 9888 seconds. If it is played back-to-back twice, how many seconds does it last in total?
InternLM-Math Base 7B:
Reasoning: The song lasts 9888/2 = <<9888/2=4944>>4944 seconds the second time it is played. The song lasts 9888+4944 = <<9888+4944=14,832>>14,832 seconds in total. ### Answer: 14,832
Expected answer: 19776
Correct? No
Problem: A crayon factory produces 4 boxes of crayons, each containing 4535 crayons. How many crayons have they produced in total?
InternLM-Math Base 7B:
Reasoning: 4*4535= <<4*4535=18140>>18140 ### Answer: 18140
Expected answer: 18140
Correct? Yes
Problem: The crayon factory has increased its output. Now, it produces 4 boxes of crayons, each containing 7780 crayons. How many crayons does the factory produce with this increased output?
InternLM-Math Base 7B:
Reasoning: 4*7780= <<4*7780=31120>>31120 ### Answer: 31120
Expected answer: 31120
Correct? Yes
Problem: A backpack brand produces 4563 bags daily for a week. How many backpacks do they produce in total?
InternLM-Math Base 7B:
Reasoning: 4563*7 = <<4563*7=31941>>31941 ### Answer: 31941
Expected answer: 31941
Correct? Yes
Problem: If the same backpack brand instead produces 9981 bags daily for a week, how many backpacks would they produce in total?
InternLM-Math Base 7B:
Reasoning: 9981*7 = <<9981*7=69367>>69367 ### Answer: 69367
Expected answer: 69867
Correct? No
Problem: A roller skate company makes 95 pairs of roller skates every hour, for 17 hours a day. How many pairs of roller skates do they make in a day?
InternLM-Math Base 7B:
Reasoning: 17*95 = <<17*95=1615>>1615 ### Answer: 1615
Expected answer: 1615
Correct? Yes
Problem: Now, consider the roller skate company now makes 3137 pairs of roller skates every hour instead of 95. How many pairs of roller skates do they make in a day?
InternLM-Math Base 7B:
Reasoning: 3137*17 = <<3137*17=53129>>53129 ### Answer: 53129
Expected answer: 53329
Correct? No
Problem: A chair designer uses 97 pieces of wood for each chair and designs 97 chairs. How many pieces of wood are used in total?
InternLM-Math Base 7B:
Reasoning: 97x97 = <<97x97=9409>>9409 ### Answer: 9409
Expected answer: 9409
Correct? Yes
Problem: After the first batch of chairs, the chair designer decides to use 269 pieces of wood for each chair but still designs 97 chairs. How many pieces of wood are used this time?
InternLM-Math Base 7B:
Reasoning: 97x269 = <<97x269=26193>>26193 ### Answer: 26193
Expected answer: 26093
Correct? No
Problem: A sports store sells 20 pairs of ice skates per day, each priced at $99. Determine the total revenue in one day?
InternLM-Math Base 7B:
Reasoning: 1 pair of ice skates = $99. 20 pairs of ice skates = <<1x20=20>>20x$99 = <<20x99=1980>>$1980 ### Answer: $1980
Expected answer: 1980
Correct? Yes
Problem: A sports store originally thought they sold 20 pairs of ice skates per day, each priced at $99. But then, they realized that they actually sold 943 pairs of ice skates per day. Determine the total revenue of the sports store in one day considering the updated quantity of sold ice skates?
InternLM-Math Base 7B:
Reasoning: 1 pair of ice skates = $99. 943 pairs of ice skates = <<1x943=943>>943x$99 = <<943x99=93,357>>$93,357 ### Answer: $93,357
Expected answer: 93357
Correct? Yes
Problem: A zookeeper is tasked with feeding 73 flamingos. Each flamingo eats 10 shrimp every day. How many shrimp does the zookeeper need to feed all the flamingos for one day?
InternLM-Math Base 7B:
Expected answer: 730
Correct? No
Problem: A beach ball factory produces 83 beach balls each hour for 89 hours. How many beach balls have they made?
InternLM-Math Base 7B:
Reasoning: 83 beach balls in 1 hour, 89 hours in 1 day. 83x89= <<83x89=7387>>7,387 ### Answer: 7,387
Expected answer: 7387
Correct? Yes
Problem: The beach ball factory's production increases and they now produce 566 beach balls each hour for 89 hours. How many beach balls have they now made?
InternLM-Math Base 7B:
Reasoning: 566x89= <<566x89=50274>>50,274 ### Answer: 50,274
Expected answer: 50374
Correct? No
Problem: A marine biologist finds 91 groups of starfish, each group containing 36 starfish. How many starfish did they find in total?
InternLM-Math Base 7B:
Reasoning: 36*91= <<36*91=3276>>3276 ### Answer: 3276
Expected answer: 3276
Correct? Yes
Problem: The marine biologist initially mistook some other marine creatures for starfish. After careful examination, she found that there were actually 2771 groups of starfish, not 91. Each group still contained 36 starfish. How many starfish were there really?
InternLM-Math Base 7B:
Reasoning: 2771*36= <<2771*36=99356>>99356 ### Answer: 99356
Expected answer: 99756
Correct? No
Problem: A community builds 37 jungle gyms, each one requiring 74 pieces. How many total pieces are used to build all the jungle gyms?
InternLM-Math Base 7B:
Reasoning: 37*74 = <<37*74=2738>>2738 ### Answer: 2738
Expected answer: 2738
Correct? Yes
Problem: Suppose instead of requiring 74 pieces, each jungle gym requires 579 pieces. How many total pieces are now used to build all 37 jungle gyms?
InternLM-Math Base 7B:
Reasoning: 37*579 = <<37*579=21423>>21423 ### Answer: 21423
Expected answer: 21423
Correct? Yes
Problem: A phone manufacturing company produces 9978 phones every hour for 9 hours. How many phones have they produced?
InternLM-Math Base 7B:
Reasoning: 9*9978 = <<9*9978=8982>>8982 ### Answer: 8982
Expected answer: 89802
Correct? No
Problem: A Princess owns 16 dresses, each with 72 sequins. How many sequins does the Princess have in total on all her dresses?
InternLM-Math Base 7B:
Reasoning: 16*72 = <<16*72=1152>>1152 ### Answer: 1152
Expected answer: 1152
Correct? Yes
Problem: In the original estimation, it was mistakenly counted that the Princess owns 16 dresses. In reality, she owns 1016 dresses, each with 72 sequins. How many sequins does the Princess have in total on all her dresses now?
InternLM-Math Base 7B:
Reasoning: 1016*72 = <<1016*72=72192>>72192 ### Answer: 72192
Expected answer: 73152
Correct? No
Problem: A shoe factory makes 5227 shoes every day for 8 days. How many shoes have they made?
InternLM-Math Base 7B:
Reasoning: 5227*8 = <<5227*8=42,176>>42,176 ### Answer: 42,176
Expected answer: 41816
Correct? No
Problem: A cheese factory produces 7975 kilograms of cheese every day for 4 days. How many kilograms of cheese have they produced?
InternLM-Math Base 7B:
Reasoning: 7975*4 = <<7975*4=31600>>31600 ### Answer: 31,600
Expected answer: 31900
Correct? No
Problem: In a sandbox, there are 8061 grains of sand in each of 9 piles. How many grains of sand are there in total?
InternLM-Math Base 7B:
Reasoning: 9x <<9x=8061>>8061 = <<9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061=9x=8061
Expected answer: 72549
Correct? No
Problem: A police station receives 20 emergency calls every day. If this continues for 93 days, how many emergency calls will they have received in total?
InternLM-Math Base 7B:
Expected answer: 1860
Correct? No
Problem: A baby says 6569 words in a day for 8 days. How many words does the baby say in total?
InternLM-Math Base 7B:
Reasoning: 8x6569 = <<8x6569=52472>>52472 ### Answer: 52472
Expected answer: 52552
Correct? No
Problem: On an ice island, each day a penguin lays 48 eggs for 54 days. How many eggs does the penguin lay in total?
InternLM-Math Base 7B:
Reasoning: 48*54 = <<48*54=2592>>2592 ### Answer: 2592
Expected answer: 2592
Correct? Yes
Problem: A hat maker has crafted 9 unique hats, each with a special design consisting of 3084 stitches. How many stitches are there in total across all hats?
InternLM-Math Base 7B:
Reasoning: 9 hats, each with 3084 stitches, is 9 × 3084 = <<9*3084=28,756>>28,756 stitches.
Expected answer: 27756
Correct? No
Problem: A certain breed of cat has an average of 3393 strands of fur. If you have one of these cats, how many strands of fur does it have?
InternLM-Math Base 7B:
Reasoning: 3393*1 = <<3393*1=3393>>3393 ### Answer: 3393
Expected answer: 3393
Correct? Yes
Problem: Suppose instead of the previous breed, you have a different breed of cat that has an average of 5245 strands of fur. If you have one of these cats, how many strands of fur does it have?
InternLM-Math Base 7B:
Reasoning: 5245*1 = <<5245*1=5245>>5245 ### Answer: 5245
Expected answer: 5245
Correct? Yes
Problem: A bakery makes 2 cakes, each with 2873 calories. How many calories are there in total?
InternLM-Math Base 7B:
Expected answer: 5746
Correct? No
Problem: A sleeping bag manufacturing company produces 9266 sleeping bags every day for 9 days. How many sleeping bags did they produce?
InternLM-Math Base 7B:
Expected answer: 83394
Correct? No
Problem: A candy factory produces 3108 candies every hour for 5 hours. How many candies have they produced?
InternLM-Math Base 7B:
Reasoning: 3108*5 = <<3108*5=15540>>15540 ### Answer: 15540
Expected answer: 15540
Correct? Yes
Problem: A candy factory decides to increase their output and now produces 7880 candies every hour for 5 hours. How many candies have they produced now?
InternLM-Math Base 7B:
Reasoning: 7880*5 = <<7880*5=39400>>39400 ### Answer: 39400
Expected answer: 39400
Correct? Yes
Problem: A group of children builds 5 snowmen with each snowman containing 4016 snowballs. How many snowballs have they used in total?
InternLM-Math Base 7B:
Reasoning: 5*4016= <<5*4016=20080>>20080 ### Answer: 20080
Expected answer: 20080
Correct? Yes
Problem: What would be the total number of snowballs used if the group of children only built each snowman with 174 snowballs instead of 4016?
InternLM-Math Base 7B:
Reasoning: 5*174= <<5*174=870>>870 ### Answer: 870
Expected answer: 870
Correct? Yes
Problem: A dairy farmer fills up 88 bottles of milk each day, with each bottle containing 46 liters of milk. How many liters of milk does he fill up in a day?
InternLM-Math Base 7B:
Reasoning: 88*46 = <<88*46=4048>>4048 ### Answer: 4048
Expected answer: 4048
Correct? Yes
Problem: Suppose the dairy farmer decides to increase his production and now fills up 2110 bottles of milk each day, with each bottle containing 46 liters of milk. How many liters of milk does he fill up in a day now?
InternLM-Math Base 7B:
2110*46= <<2110*46=96,060>>96,060 ### Answer: 96,060
Expected answer: 97060
Correct? No
Problem: A river flows at a rate of 9441 litres per second. What would be the total amount of water, in litres, that it would discharge into the sea in 9 seconds?
InternLM-Math Base 7B:
Reasoning: 9441 â‹… 9 = <<9441â‹…9=85009>>85009 ### Answer: 85009
Expected answer: 84969
Correct? No
Problem: A balloon factory creates 4238 balloons every day for 8 days straight. How many balloons did they create?
InternLM-Math Base 7B:
Reasoning: 4238*8 = <<4238*8=33904>>33904 ### Answer: 33904
Expected answer: 33904
Correct? Yes
Problem: If the balloon factory only managed to produce 97 balloons every day instead of 4238, over the same span of 8 days, how many balloons would they have created?
InternLM-Math Base 7B:
Reasoning: 97*8 = <<97*8=776>>776 ### Answer: 776
Expected answer: 776
Correct? Yes
Problem: An ice cream factory produces 59 batches of ice cream every day for 26 days. How many total batches of ice cream have they produced?
InternLM-Math Base 7B:
Reasoning: 59*26 = <<59*26=1534>>1534 ### Answer: 1534
Expected answer: 1534
Correct? Yes
Problem: The factory decides to increase its efficiency and starts producing 656 batches of ice cream every day instead of 59, still over 26 days. How many total batches of ice cream have they now produced for that period?
InternLM-Math Base 7B:
Reasoning: 656*26 = <<656*26=17056>>17056 ### Answer: 17056
Expected answer: 17056
Correct? Yes
Problem: A fish breeder has 86 tanks and each tank has 91 fish. How many fish does the breeder have in total?
InternLM-Math Base 7B:
Reasoning: 1 tank has 1x91 = 91 fish. 86 tanks have 1x86x91= <<1x86x91=7,626>>7,626 fish. ### Answer: 7,626
Expected answer: 7826
Correct? No
Problem: A car factory produces 42 cars every hour for 21 hours. How many cars were produced in total?
InternLM-Math Base 7B:
Reasoning: 42*21 = <<42*21=882>>882 cars. ### Answer: 882
Expected answer: 882
Correct? Yes
Problem: After the initial 21 hours of production, the car factory boosts its production and starts producing 1204 cars every hour for 42 hours. How many cars were produced during this increased production period?
InternLM-Math Base 7B:
Reasoning: 1204*42 = <<1204*42=50168>>50,168 cars. ### Answer: 50168
Expected answer: 50568
Correct? No
Problem: A library has 53 shelves and each shelf has 63 books. How many books are there in the library?
InternLM-Math Base 7B:
Reasoning: 53*63 = <<53*63=3339>>3339 ### Answer: 3339
Expected answer: 3339
Correct? Yes
Problem: The library decides to add more books to each shelf. Now, each of the 581 shelves has 63 books. How many books are there in the library now?
InternLM-Math Base 7B:
Reasoning: 63*581 = <<63*581=40203>>40203 ### Answer: 40203
Expected answer: 36603
Correct? No
Problem: A scientist measures a rainbow's intensity and finds out that the intensity increases by 6890 units for each color seen. If there are 8 colors appearing, what is the total increase in intensity of the rainbow?
InternLM-Math Base 7B:
Reasoning: The total increase in intensity of the rainbow is 8*6890=<<8*6890=53,120>>53,120 units. ### Answer: 53,120
Expected answer: 55120
Correct? No
Problem: A friend is carefully scanning photos into their computer. They manage to scan 3173 photos every day for 9 days. How many photos have they scanned in total?
InternLM-Math Base 7B:
Reasoning: 3173x9 = <<3173x9=28537>>28537 ### Answer: 28537
Expected answer: 28557
Correct? No
Problem: A gardener plants 33 flowers, each taking 60 minutes to plant. How many minutes will the gardener take to plant all the flowers?
InternLM-Math Base 7B:
Reasoning: 60*33 = <<60*33=1980>>1980 ### Answer: 1980
Expected answer: 1980
Correct? Yes
Problem: The gardener decides to plant more flowers. This time, he plants 1523 flowers, each still taking 60 minutes to plant. How many minutes will it take the gardener to plant all these new flowers?
InternLM-Math Base 7B:
Reasoning: 60*1523 = <<60*1523=91580>>91580 ### Answer: 91580
Expected answer: 91380
Correct? No
Problem: A dressmaker creates skirts, each skirt uses 94 inches of fabric. If the dressmaker creates 12 skirts, how many inches of fabric does she use?
InternLM-Math Base 7B:
Reasoning: The dressmaker used 12*94 = <<12*94=1,128>>1,128 inches of fabric to make 12 skirts. ### Answer: 1,128
Expected answer: 1128
Correct? Yes
Problem: An alien fleet dispatches 18 UFOs to Earth, each carrying 22 extraterrestrials aboard. How many aliens have they sent to Earth?
InternLM-Math Base 7B:
Reasoning: 18 UFOs each with 22 extraterrestrials aboard. 18x22 = <<18x22=396>>396 aliens have been sent to Earth. ### Answer: 396
Expected answer: 396
Correct? Yes
Problem: Now imagine that instead of carrying 22 extraterrestrials, each UFO carries 1066 aliens. How many aliens would they then have sent to Earth?
InternLM-Math Base 7B:
Reasoning: 18 UFOs each with 1066 extraterrestrials aboard. 18x1066 = <<18x1066=19188>>19188 aliens have been sent to Earth. ### Answer: 19188
Expected answer: 19188
Correct? Yes
Problem: A kite maker produces 3 types of kites, each type has 8497 pieces. How many pieces do they have in total?
InternLM-Math Base 7B:
Reasoning: 8497+8497+8497 = <<8497+8497+8497=25492>>25492 ### Answer: 25492
Expected answer: 25491
Correct? No
Problem: A teddy bear factory makes 23 teddy bears every hour. If the factory operates for 63 hours, how many teddy bears are made?
InternLM-Math Base 7B:
|
Expected answer: 1449
Correct? No
Problem: A pirate has a treasure map that shows 90 pieces of gold hidden for each of the 31 days in a month. How many pieces of gold does the map indicate in total for that month?
InternLM-Math Base 7B:
Reasoning: 90*31 = <<90*31=2790>>2790 ### Answer: 2790
Expected answer: 2790
Correct? Yes
Problem: A table making company has received an order to make 92 tables every day for 28 days. How many tables will they end up making?
InternLM-Math Base 7B:
Reasoning: 92*28 = <<92*28=2576>>2576 ### Answer: 2576
Expected answer: 2576
Correct? Yes
Problem: After making 92 tables every day for 28 days, the table making company received another order. This time, they need to make 843 tables per day for the next 92 days. How many tables will they make in this period?
InternLM-Math Base 7B:
Reasoning: 843*92 = <<843*92=77256>>77256 ### Answer: 77256
Expected answer: 77556
Correct? No
Problem: A fireplace burns 7905 logs every week for 4 weeks. How many logs did it burn?
InternLM-Math Base 7B:
Reasoning: 7905*4 = <<7905*4=31620>>31620 logs ### Answer: 31620
Expected answer: 31620
Correct? Yes
Problem: If instead of burning 7905 logs every week for 4 weeks, the fireplace had burned 8373 logs per week for the same duration, how many logs would it have burned?
InternLM-Math Base 7B:
Reasoning: 8373*4 = <<8373*4=33492>>33492 ### Answer: 33492
Expected answer: 33492
Correct? Yes
Problem: A toothpaste factory produces 7837 tubes of toothpaste every hour. If the factory operates for 9 hours, how many tubes of toothpaste do they produce?
InternLM-Math Base 7B:
Expected answer: 70533
Correct? No
Problem: A farmer harvests 3799 cucumbers from each of his 3 fields. How many cucumbers does he harvest in total?
InternLM-Math Base 7B:
Reasoning: 3*3799= <<3*3799=11397>>11397 ### Answer: 11397
Expected answer: 11397
Correct? Yes
Problem: The farmer realized he made a mistake and only harvested 550 cucumbers from each of his 3 fields. How many cucumbers did he actually harvest in total?
InternLM-Math Base 7B:
Reasoning: 3*550= <<3*550=1650>>1650 ### Answer: 1650
Expected answer: 1650
Correct? Yes
Problem: In a zoo, each of the 84 enclosures has 48 animals. How many animals are there in total in all the enclosures?
InternLM-Math Base 7B:
Expected answer: 4032
Correct? No
Problem: A farmer harvested 43 bundles of carrots, each bundle contains 40 carrots. How many carrots did the farmer harvest in total?
InternLM-Math Base 7B:
Reasoning: 40*43 = <<40*43=1720>>1720 ### Answer: 1720
Expected answer: 1720
Correct? Yes
Problem: A dragon breathes fire and burns 4618 trees in a forest each day for 3 days. How many trees in total did the dragon burn in these three days?
InternLM-Math Base 7B:
Reasoning: 3*4618= <<3*4618=1385>>13,854 trees in total. ### Answer: 13,854
Expected answer: 13854
Correct? Yes
Problem: Considering that the dragon instead burned 2302 trees each day for the same 3 days, how many trees in total did the dragon burn in these three days?
InternLM-Math Base 7B:
Reasoning: 3*2302= <<3*2302=6912>>6,912 trees in total. ### Answer: 6,912
Expected answer: 6906
Correct? No
Problem: There is a mountain that is 3618 meters tall. How many meters tall is a mountain that is exactly 1 times the height of the first mountain?
InternLM-Math Base 7B:
Reasoning: A mountain that is 1 time the height of the first mountain is 3618*1= <<3618*1=3618>> 3618 meters tall. ### Answer: 3618
Expected answer: 3618
Correct? Yes
Problem: There is a second mountain that is 3488 meters tall. How many meters tall is a mountain that is exactly 1 times the height of this second mountain?
InternLM-Math Base 7B:
Reasoning: A mountain that is 1 time the height of the first mountain is 3488*1= <<3488*1=3488>> 3488 meters tall. ### Answer: 3488
Expected answer: 3488
Correct? Yes
Problem: A cloud formation occupies an area of 18 miles by 18 miles. What is the total number of square miles occupied by the cloud formation?
InternLM-Math Base 7B:
Reasoning: 18 â‹… 18 = 324 ### Answer: 324
Expected answer: 324
Correct? Yes
Problem: Instead of having an area of 18 miles by 18 miles, what if the cloud formation now occupies an area of 18 miles by 2898 miles. What is the total number of square miles occupied by the cloud formation now?
InternLM-Math Base 7B:
Reasoning: 18 â‹… 2898 = 52004 ### Answer: 52004
Expected answer: 52164
Correct? No
Problem: A grape farm produces 60 clusters of grapes every day, with each cluster containing 64 grapes. How many grapes does the farm produce in a day?
InternLM-Math Base 7B:
Reasoning: 64*60 = <<64*60=3840>>3840 ### Answer: 3840
Expected answer: 3840
Correct? Yes
Problem: A helicopter builder needs 3224 parts for each helicopter. If they plan to build 4 helicopters, how many parts will they need in total?
InternLM-Math Base 7B:
Reasoning: 4 â‹… 3224 = <<4â‹…3224=12,896>>12,896 ### Answer: 12,896
Expected answer: 12896
Correct? Yes
Problem: Suppose the helicopter builder now needs 7661 parts for each helicopter, instead of 3224 as originally planned. If they still plan to build 4 helicopters, how many parts will they need in total now?
InternLM-Math Base 7B:
Reasoning: 4 â‹… 7661 = <<4â‹…7661=30,644>>30,644 ### Answer: 30,644
Expected answer: 30644
Correct? Yes
Problem: A jacket factory produces 3425 jackets each day for two days. How many jackets have they produced?
InternLM-Math Base 7B:
Reasoning: 3425*2= <<3425*2=6850>>6850 ### Answer: 6850
Expected answer: 6850
Correct? Yes
Problem: Now suppose the jacket factory instead produces 2079 jackets each day for two days. How many jackets have they produced now?
InternLM-Math Base 7B:
Reasoning: 2079*2= <<2079*2=4158>>4158 ### Answer: 4158
Expected answer: 4158
Correct? Yes
Problem: A towel factory produces 1380 towels every day for 9 days. How many towels have they produced?
InternLM-Math Base 7B:
Reasoning: 1380*9 = <<1380*9=12,420>>12,420 ### Answer: 12,420
Expected answer: 12420
Correct? Yes
Problem: Suppose the towel factory increased its production and now makes 7978 towels every day for the same 9 days. How many towels have they produced now?
InternLM-Math Base 7B:
Reasoning: 7978*9 = <<7978*9=71,902>>71,902 ### Answer: 71,902
Expected answer: 71802
Correct? No
Problem: A manufacturer makes 1 pair of binoculars per day which they sell for 7743 dollars each. How much does the manufacturer make in a day from binoculars?
InternLM-Math Base 7B:
Reasoning: The manufacturer makes 1*7743=<<1*7743=7743>>7743 dollars in a day from binoculars. ### Answer: 7743
Expected answer: 7743
Correct? Yes
Problem: What if the manufacturer decides to reduce the price and sell the binoculars for 7302 dollars each instead? How much would they make per day then?
InternLM-Math Base 7B:
Reasoning: The manufacturer makes 1*7302=<<1*7302=7302>>7302 dollars in a day from binoculars. ### Answer: 7302
Expected answer: 7302
Correct? Yes