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?
Gemma 2B:
Reasoning: 65 tickets/day x 34 days = <<65 tickets/day x 34 days=2240>>2240 tickets in total. ### Answer: 2240
Expected answer: 2210
Correct? No
Problem: A windmill generates 8086 kilowatts of electricity every day. How much electricity will it generate in 7 days?
Gemma 2B:
Reasoning: 8086/7 = <<8086/7=1218.5>>1219 kilowatts of electricity in 7 days. ### Answer: 1219
Expected answer: 56602
Correct? No
Problem: A company produces 55 tubes of toothpaste every hour for 35 hours. How many tubes of toothpaste did they produce?
Gemma 2B:
Reasoning: 55 x 35 = <<55 x 35=1950>>1950 tubes of toothpaste were produced. ### Answer: 1950
Expected answer: 1925
Correct? No
Problem: A company produces 96 unique keys per day for 83 days. How many keys in total did they produce?
Gemma 2B:
Reasoning: 96 keys/day * 83 days = <<96 keys/day * 83 days = 8192>>8192 keys in total. ### Answer: 8192
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?
Gemma 2B:
Reasoning: The number of balls produced each day is 9212. The number of balls produced in 9 days is 9212. ### Answer: 9212
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?
Gemma 2B:
Reasoning: The school bus can carry 6353 students, and it is only one bus. ### 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?
Gemma 2B:
### 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?
Gemma 2B:
Reasoning: The pirate ship fires 76 x 45 = <<76 x 45=3300>>3300 cannonballs in a battle. ### Answer: 3300
Expected answer: 3420
Correct? No
Problem: A bus can carry 5244 passengers. How many passengers can 5 buses carry in total?
Gemma 2B:
Reasoning: 5 buses can carry 5244/5 = <<5244/5=1048>>1048 passengers in total. ### Answer: 1048
Expected answer: 26220
Correct? No
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?
Gemma 2B:
Reasoning: The friend has saved $2008 for 2 years, which is 2 * 12 = <<2 * 12 = 24>>24 months. Therefore, the total amount saved is 2008 * 24 = <<2008 * 24 = 5232>>5232 dollars. ### Answer: 5232
Expected answer: 4016
Correct? No
Problem: A chocolate factory produces 4916 chocolate bars every hour for 4 hours. How many chocolate bars did they produce?
Gemma 2B:
Reasoning: 4916 chocolate bars/hour * 4 hours = 19648 chocolate bars produced. ### Answer: 19648
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?
Gemma 2B:
Reasoning: The pirate found 91 * 55 = <<91*55=4950>>4950 gold coins in total. ### Answer: 4950
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?
Gemma 2B:
Reasoning: The farmer grew 50 x 12 = <<50 x 12=600>>600 grapes. ### 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?
Gemma 2B:
Reasoning: The farmer grew 6804 x 12 = <<6804 x 12=8192>>8192 grapes. ### Answer: 8192
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?
Gemma 2B:
Reasoning: The helicopter can carry 64 pounds every minute, so it can carry 64 x 75 = <<64 x 75=4800>>4800 pounds in 75 minutes. ### 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?
Gemma 2B:
### Answer: 75 x 1063 = <<75 x 1063=7815>>7815 pounds
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?
Gemma 2B:
Reasoning: 4750 x 7 = <<4750 x 7=33550>>33550 pianos have been produced in total. ### Answer: 33550
Expected answer: 33250
Correct? No
Problem: A snow machine produces 8873 snowballs every hour for 8 hours. How many snowballs did it produce?
Gemma 2B:
Reasoning: 8873 snowballs/hour * 8 hours = 73364 snowballs. ### Answer: 73364
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?
Gemma 2B:
Reasoning: The total length of rope produced is 84 * 75 = <<84*75=6000>>6000 meters. ### Answer: 6000
Expected answer: 6300
Correct? No
Problem: A doctor treats 5837 patients each day for 8 days. How many patients has the doctor treated?
Gemma 2B:
Reasoning: The doctor treats 5837 patients each day for 8 days, so he treats 5837*8 = <<5837*8=46064>>46064 patients in total. ### Answer: 46064
Expected answer: 46696
Correct? No
Problem: A tree farmer plants 4749 trees each day over 6 days. How many trees did he plant in total?
Gemma 2B:
Reasoning: The tree farmer planted 4749 trees each day for 6 days, so he planted 4749 * 6 = <<4749 * 6=28344>>28344 trees in total. ### Answer: 28344
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?
Gemma 2B:
Reasoning: There are 80 x 64 = <<80x64=5120>>flowers in all the vases. ### Answer: 5120
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?
Gemma 2B:
Reasoning: There are 80 x 891 = <<80x891=72880>>flowers in all the vases now. ### Answer: 72880
Expected answer: 71280
Correct? No
Problem: A quilt maker uses 4932 pieces of cloth to make one blanket. How many pieces of cloth did he/she use?
Gemma 2B:
Reasoning: The quilt maker used 4932 pieces of cloth to make one blanket. ### Answer: 4932
Expected answer: 4932
Correct? Yes
Problem: Consider the quilt maker decided to create a larger blanket this time, needing a total of 7404 pieces of cloth. How many pieces of cloth would he/she have used in this case?
Gemma 2B:
### Answer: 7404
Expected answer: 7404
Correct? Yes
Problem: A pillow maker produces 40 pillows every hour for 17 hours. How many pillows did they make?
Gemma 2B:
Reasoning: 40 pillows/hour x 17 hours = <<40 pillows/hour x 17 hours=680>>680 pillows made. ### 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?
Gemma 2B:
### Answer: 460
Expected answer: 18400
Correct? No
Problem: A monkey picks 9434 bananas each day for 7 days. How many bananas has the monkey picked in total?
Gemma 2B:
Reasoning: The monkey picks 9434 bananas each day for 7 days, so he picks 9434 * 7 = <<9434*7=67892>>67892 bananas in total. ### Answer: 67892
Expected answer: 66038
Correct? No
Problem: A ballerina performs 64 pirouettes each day for 21 days. How many pirouettes has she performed overall?
Gemma 2B:
Reasoning: 64 pirouettes/day x 21 days = <<64/day x 21=1360>>1360 pirouettes overall. ### Answer: 1360
Expected answer: 1344
Correct? No
Problem: A school bus transports 28 students to school every day for 12 days. How many students total have been transported?
Gemma 2B:
Reasoning: 28 students are transported every day for 12 days, which is 12 * 28 = <<12 * 28 = 336>>336 students. ### 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?
Gemma 2B:
### Answer: 8194
Expected answer: 98328
Correct? No
Problem: A facility produces 78 balls per day for 22 days. How many balls do they produce in total?
Gemma 2B:
Reasoning: 78 balls/day x 22 days = <<78 balls/day x 22 days =1760>>1760 balls in total. ### Answer: 1760
Expected answer: 1716
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?
Gemma 2B:
Reasoning: 64 glasses/batch x 22 batches = <<64 glasses/batch x 22=1440>>1440 glasses produced in a day.
Expected answer: 1408
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?
Gemma 2B:
Reasoning: The city bus covers 2836 km/5 = <<5872>>5872 kilometers in 5 trips. ### Answer: 5872
Expected answer: 14180
Correct? No
Problem: A pizza restaurant sells 1959 pizzas each day for a period of 4 consecutive days. How many pizzas did they sell altogether?
Gemma 2B:
Reasoning: 1959 x 4 = <<1959 x 4 = 7840>>7840 pizzas were sold altogether.
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?
Gemma 2B:
Reasoning: The mouse eats 85*93 = <<85*93=7955>>7955 grains of rice in total. ### Answer: 7955
Expected answer: 7905
Correct? No
Problem: A building has 83 floors, and each floor has 18 windows. How many windows are there in the entire building?
Gemma 2B:
Reasoning: There are 83 floors, and each floor has 18 windows, so there are 83 * 18 = <<83*18=1440>>1440 windows in the entire building.
Expected answer: 1494
Correct? No
Problem: A toothpaste company produced 2917 tubes for 3 consecutive days. How many toothpaste tubes did they produce in total?
Gemma 2B:
Reasoning: They produced 2917 for the first day, 2917/2 for the second day, and 2917/3 for the third day. Therefore, they produced 2917 * 3 = <<2917 * 3 = 8715>>8715 tubes in total.
Expected answer: 8751
Correct? No
Problem: A student has 90 eraser packs, each containing 81 erasers. How many erasers does the student have in total?
Gemma 2B:
Reasoning: The student has 90/81 = <<90/81=1>>1 eraser in total. ### Answer: 1
Expected answer: 7290
Correct? No
Problem: A baker creates 2 cakes, each requiring 2585 grams of flour. How many grams of flour does the baker need in total?
Gemma 2B:
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?
Gemma 2B:
Reasoning: The baker needs to adjust the amount of flour for each cake by multiplying the original amount by 2/3. Therefore, the baker needs 2585 * 2/3 = <<2585 * 2/3=1685>>1685 grams of flour to make 2 cakes using the new recipe. ### Answer: 1685
Expected answer: 12146
Correct? No
Problem: A jewelry maker designs 3 necklaces, each with 7303 beads. How many total beads did they use for the necklaces?
Gemma 2B:
Reasoning: The jewelry maker used 3 necklaces * 7303 beads/necklace = <<3*7303=21009>>21009 beads of beads for the necklaces. ### Answer: 21009
Expected answer: 21909
Correct? No
Problem: A fisherman catches 30 fish each day for 16 days. How many fish has he caught in total?
Gemma 2B:
Reasoning: The fisherman catches 30 fish each day for 16 days, so he catches 30*16 = <<30*16=480>>480 fish in total. ### 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?
Gemma 2B:
Reasoning: The fisherman catches 30 fish each day for 30 days, so he catches 30*30 = <<30*30=900>>900 fish in total. ### Answer: 900
Expected answer: 65790
Correct? No
Problem: A paint manufacturer produces 6 batches of paint, each containing 1868 liters. How many liters in total did they produce?
Gemma 2B:
Reasoning: 6 batches * 1868 = <<6*1868=10928>>10928 liters of paint produced. ### Answer: 10928
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?
Gemma 2B:
Reasoning: The forest produces 74*10 = <<74*10=740>>740 kilograms of fruits. ### 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?
Gemma 2B:
Reasoning: The total number of trees in the forest is 74, and each tree produces 10 kg, so the total number of fruits produced is 74*10 = <<74*10=740>>740 kg. ### Answer: 740
Expected answer: 56190
Correct? No
Problem: A farmer manages to grow 41 carrots in each of his 21 vegetable patches. How many carrots does the farmer have in total?
Gemma 2B:
Reasoning: The farmer has 41*21 = <<41*21=905>>905 carrots in total. ### Answer: 905
Expected answer: 861
Correct? No
Problem: A drum manufacturer produces 3070 drums per day for 7 days. How many drums are produced in total?
Gemma 2B:
Reasoning: 3070 drums/day x 7 days = <<3070 x 7 = 21450>>21450 drums produced in total. ### Answer: 21450
Expected answer: 21490
Correct? No
Problem: A toothbrush company produces 2949 toothbrushes every hour for 6 hours. How many toothbrushes did they produce in that time?
Gemma 2B:
Reasoning: 2949 toothbrushes/hour * 6 hours = <<2949 toothbrushes/hour * 6 hours=17248>>17248 toothbrushes produced in that time. ### Answer: 17248
Expected answer: 17694
Correct? No
Problem: A farm produces 8938 liters of milk every day for 4 days. How many liters of milk did the farm produce?
Gemma 2B:
Reasoning: The farm produced 8938 x 4 = <<8938 x 4=35744>>35744 liters of milk every day. ### Answer: 35744
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?
Gemma 2B:
Reasoning: 2588 puzzles/year * 9 years = 23,040 puzzles designed in total. ### Answer: 23,040
Expected answer: 23292
Correct? No
Problem: A person gives 2 gifts, each worth 9797 dollars. What is the total cost of the gifts?
Gemma 2B:
Reasoning: The total cost of the gifts = 2 * 9797 = <<2*9797=19594>>19594 dollars. ### Answer: 19594
Expected answer: 19594
Correct? Yes
Problem: The person decided to give 2 other gifts, each worth 6151 dollars instead of 9797 dollars. What is the total cost of these other gifts?
Gemma 2B:
Reasoning: The total cost of the other gifts = 2 * 6151 = <<2*6151=12302>>12302 dollars. ### Answer: 12302
Expected answer: 12302
Correct? Yes
Problem: In a video game, a player collects 1 diamond worth 6338 points. How many points has the player collected from diamonds?
Gemma 2B:
Reasoning: The player has 1 diamond worth 6338 points. From the video game, the player has collected 1 diamond worth 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?
Gemma 2B:
Reasoning: The player has 1 diamond worth 6338 points. From the video game, the player has collected 1 diamond worth 166 points. ### Answer: 6338
Expected answer: 166
Correct? No
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?
Gemma 2B:
Reasoning: 81 pairs of socks/box * 98 boxes = <<81 pairs of socks/box * 98 boxes=7928>>7928 socks made. ### Answer: 7928
Expected answer: 7938
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?
Gemma 2B:
Reasoning: The total magnification is 67x86 = <<67x86=5702>>5702. The total size of the object is 5702 units. ### Answer: 5702
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?
Gemma 2B:
Reasoning: The number of computer units manufactured in 7 days is 1010*7 = <<1010*7=7140>>7140. ### Answer: 7140
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?
Gemma 2B:
Reasoning: The song lasts 9888 seconds, and playing it back-to-back twice means it will play for 9888 * 2 = <<19776>>19776 seconds in total. ### Answer: 19776
Expected answer: 19776
Correct? Yes
Problem: If that musician decides to write a new song that lasts 3435 seconds and it is also played back-to-back twice, how many seconds will this new song last in total?
Gemma 2B:
Reasoning: The new song lasts 3435 seconds, and playing it back-to-back twice means it will play for 3435 * 2 = <<6870>>6870 seconds in total. ### Answer: 6870
Expected answer: 6870
Correct? Yes
Problem: A crayon factory produces 4 boxes of crayons, each containing 4535 crayons. How many crayons have they produced in total?
Gemma 2B:
Reasoning: The factory produced 4 boxes of 4535 crayons each, so they produced 4 * 4535 = <<4 * 4535=18140>>18140 crayons in total. ### 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?
Gemma 2B:
### Answer: 4 * 7780 = <<4 * 7780=31120>>31120 crayons
Expected answer: 31120
Correct? Yes
Problem: A backpack brand produces 4563 bags daily for a week. How many backpacks do they produce in total?
Gemma 2B:
Reasoning: 4563 bags/day * 7 days = <<4563 bags/day * 7 days = 31585>>31585 bags in total. ### Answer: 31585
Expected answer: 31941
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?
Gemma 2B:
Reasoning: 95 pairs/hour x 17 hours/day = <<95 pairs/hour x 17 hours/day=1570>>1570 pairs of roller skates made in a day. ### Answer: 1570
Expected answer: 1615
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?
Gemma 2B:
Reasoning: 97 pieces of wood are used for each chair, so 97 * 97 = <<97*97=9409>>9409 pieces of wood are used in total. ### 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?
Gemma 2B:
Reasoning: 269 pieces of wood are used for each chair, so 269 * 97 = <<269*97=25933>>25933 pieces of wood are used this time. ### Answer: 25933
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?
Gemma 2B:
Reasoning: 20 pairs x $99 = $1980. The total revenue in one day is $1980.
Expected answer: 1980
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?
Gemma 2B:
Reasoning: The zookeeper needs to feed 73 x 10 = <<73x10=730>>730 shrimp for one day. ### Answer: 730
Expected answer: 730
Correct? Yes
Problem: Suppose instead of 73 flamingos, the zookeeper had to feed 4695 flamingos. Each flamingo still eats 10 shrimp every day. How many shrimp would the zookeeper need to feed all the flamingos for one day?
Gemma 2B:
### Answer: 4695
Expected answer: 46950
Correct? No
Problem: A beach ball factory produces 83 beach balls each hour for 89 hours. How many beach balls have they made?
Gemma 2B:
Reasoning: 83 balls/hour * 89 hours = 7673 beach balls. ### Answer: 7673
Expected answer: 7387
Correct? No
Problem: A marine biologist finds 91 groups of starfish, each group containing 36 starfish. How many starfish did they find in total?
Gemma 2B:
Reasoning: There are 91 groups of starfish, each containing 36, so there are 91 * 36 = <<91*36=3240>>3240 starfish in total. ### Answer: 3240
Expected answer: 3276
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?
Gemma 2B:
Reasoning: 37 * 74 = <<37 * 74=2896>>2896 pieces are used to build all the jungle gyms. ### Answer: 2896
Expected answer: 2738
Correct? No
Problem: A phone manufacturing company produces 9978 phones every hour for 9 hours. How many phones have they produced?
Gemma 2B:
Reasoning: 9978 phones/hour x 9 hours = <<9978 phones/hour x 9 hours=8958>>8958 phones manufactured. ### Answer: 8958
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?
Gemma 2B:
Reasoning: The Princess has 16 x 72 = <<16 x 72=1280>>1280 sequins in total. ### Answer: 1280
Expected answer: 1152
Correct? No
Problem: A shoe factory makes 5227 shoes every day for 8 days. How many shoes have they made?
Gemma 2B:
Reasoning: 5227 shoes/day * 8 days = 43364 shoes made. ### Answer: 43364
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?
Gemma 2B:
Reasoning: 7975 kg/day * 4 days = <<7975 kg/day * 4=31500 kg>>31500 kg of cheese have been produced. ### Answer: 31500
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?
Gemma 2B:
Reasoning: There are 8061 grains of sand in each of 9 piles, so there are 9 * 8061 = <<9 * 8061=72545>>72545 grains of sand in total. ### Answer: 72545
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?
Gemma 2B:
Reasoning: 20 calls/day x 93 days = <<20 calls/day x 93 days = 1860 calls>>1860. ### Answer: 1860
Expected answer: 1860
Correct? Yes
Problem: The police station adjusted its data and found out that they actually receive 20 emergency calls every day for 2675 days. How many emergency calls will they have received given this new information?
Gemma 2B:
Reasoning: 20 calls/day x 2675 days = <<20 calls/day x 2675 days = 54000 calls>>54000. ### Answer: 54000
Expected answer: 53500
Correct? No
Problem: A baby says 6569 words in a day for 8 days. How many words does the baby say in total?
Gemma 2B:
Reasoning: The baby says 6569 words in 8 days, so he says 6569/8 = <<6569/8=808.125>>808 words in total. ### Answer: 808
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?
Gemma 2B:
Reasoning: The number of eggs laid in total is 48 eggs/day x 54 days = <<48 eggs/day x 54 days=2480>>2480 eggs. ### Answer: 2480
Expected answer: 2592
Correct? No
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?
Gemma 2B:
Reasoning: Each hat has 3084 stitches, so the total number of stitches across all hats is 9 hats * 3084 stitches/hat = <<9 hats * 3084 stitches/hat=27432>>27432 stitches. ### Answer: 27432
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?
Gemma 2B:
Reasoning: A certain breed of cat has an average of 3393 strands of fur. So, if you have one of these cats, you have 3393 strands of fur.
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?
Gemma 2B:
### Answer: 5245
Expected answer: 5245
Correct? Yes
Problem: A bakery makes 2 cakes, each with 2873 calories. How many calories are there in total?
Gemma 2B:
Reasoning: 2 cakes * 2873 calories/cake = <<2 cakes * 2873 calories/cake=5746 calories>>5746 calories are in total. ### Answer: 5746
Expected answer: 5746
Correct? Yes
Problem: If instead, the bakery made 2 cakes, each with 5243 calories, how many calories would there be in total now?
Gemma 2B:
Reasoning: 2 cakes * 5243 calories/cake = <<2 cakes * 5243 calories/cake=10486 calories>>10486 calories are in total. ### Answer: 10486
Expected answer: 10486
Correct? Yes
Problem: A sleeping bag manufacturing company produces 9266 sleeping bags every day for 9 days. How many sleeping bags did they produce?
Gemma 2B:
Reasoning: 9266 sleeping bags/day * 9 days = 82144 sleeping bags produced. ### Answer: 82144
Expected answer: 83394
Correct? No
Problem: A candy factory produces 3108 candies every hour for 5 hours. How many candies have they produced?
Gemma 2B:
Reasoning: 3108 candies/hour * 5 hours = 15540 candies produced. ### 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?
Gemma 2B:
### 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?
Gemma 2B:
Reasoning: Each snowman contains 4016/5 = <<4016/5=8032>>8032 snowballs. The total number of snowballs used is 5*8032 = <<5*8032=40160>>40160. ### Answer: 40160
Expected answer: 20080
Correct? No
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?
Gemma 2B:
Reasoning: 88 bottles x 46 liters/bottle = <<88 bottles x 46 liters/bottle=4080 liters>>4080 liters of milk are filled up in a day. ### Answer: 4080
Expected answer: 4048
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?
Gemma 2B:
Reasoning: The total amount of water discharged into the sea in 9 seconds is equal to the volume of water flowing through the river in those 9 seconds. Therefore, the total amount of water discharged into the sea is 9441 litres.
Expected answer: 84969
Correct? No
Problem: A balloon factory creates 4238 balloons every day for 8 days straight. How many balloons did they create?
Gemma 2B:
Reasoning: 4238 balloons/day * 8 days = 33320 balloons created. ### Answer: 33320
Expected answer: 33904
Correct? No
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?
Gemma 2B:
Reasoning: 59 batches/day * 26 days = 1544 total batches. ### Answer: 1544
Expected answer: 1534
Correct? No
Problem: A fish breeder has 86 tanks and each tank has 91 fish. How many fish does the breeder have in total?
Gemma 2B:
Reasoning: The breeder has 86 tanks, each with 91 fish. So, the total number of fish is 86 x 91 = <<86 x 91=7946>>7946. ### Answer: 7946
Expected answer: 7826
Correct? No
Problem: A car factory produces 42 cars every hour for 21 hours. How many cars were produced in total?
Gemma 2B:
Reasoning: 42 cars/hour x 21 hours = <<42 cars/hour x 21 hours=922>>922 cars were produced in total. ### Answer: 922
Expected answer: 882
Correct? No
Problem: A library has 53 shelves and each shelf has 63 books. How many books are there in the library?
Gemma 2B:
Reasoning: The library has 53 x 63 = <<53x63=3299>>3299 books. ### Answer: 3299
Expected answer: 3339
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?
Gemma 2B:
Reasoning: The intensity increases by 6890 units for each color, so the total increase in intensity for 8 colors is 8 * 6890 = <<8*6890=53520>>53520 units. ### Answer: 53520
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?
Gemma 2B:
Reasoning: 3173 photos/day x 9 days = <<3173 photos/day x 9 days=27877>>27877 photos have been scanned in total. ### Answer: 27877
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?
Gemma 2B:
Reasoning: The gardener will take 33 * 60 = <<33*60=1980>>1980 minutes to plant all the flowers. ### 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?
Gemma 2B:
Reasoning: The gardener will take 1523 * 60 = <<1523*60=91440>>91440 minutes to plant all the new flowers. ### Answer: 91440
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?
Gemma 2B:
Reasoning: 12 skirts x 94 inches/skirt = <<12x94=1152>>1152 inches of fabric. ### Answer: 1152
Expected answer: 1128
Correct? No
Problem: An alien fleet dispatches 18 UFOs to Earth, each carrying 22 extraterrestrials aboard. How many aliens have they sent to Earth?
Gemma 2B:
Reasoning: 18 UFOs * 22 aliens/UFO = <<18*22=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?
Gemma 2B:
Reasoning: 18 UFOs * 1066 aliens/UFO = <<18*1066=19392>>19392 aliens would have been sent to Earth. ### Answer: 19392
Expected answer: 19188
Correct? No
Problem: A kite maker produces 3 types of kites, each type has 8497 pieces. How many pieces do they have in total?
Gemma 2B:
Reasoning: The total number of pieces = 3 * 8497 = <<3*8497=24491>>24491. ### Answer: 24491
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?
Gemma 2B:
Reasoning: The factory makes 23 teddy bears/hour * 63 hours = <<23/hour * 63=1403>>1403 teddy bears in 63 hours. ### Answer: 1403
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?
Gemma 2B:
Reasoning: The map indicates 90 pieces of gold for each day, so the total number of pieces of gold in the month is 31 * 90 = <<31*90=2700>>2700. ### Answer: 2700
Expected answer: 2790
Correct? No
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?
Gemma 2B:
Reasoning: 92 tables/day x 28 days = <<92/day x 28=2480>>2480 tables. ### Answer: 2480
Expected answer: 2576
Correct? No
Problem: A fireplace burns 7905 logs every week for 4 weeks. How many logs did it burn?
Gemma 2B:
Reasoning: 7905 logs/week x 4 weeks = <<7905 logs/week x 4=3160>>3160 logs burned. ### Answer: 3160
Expected answer: 31620
Correct? No
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?
Gemma 2B:
Reasoning: The factory produces 7837 tubes of toothpaste every hour, so they produce 7837 * 9 = <<7837*9=7213>>7213 tubes of toothpaste in 9 hours. ### Answer: 7213
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?
Gemma 2B:
Reasoning: The farmer harvests 3799/3 = <<3799/3=1263>>1263 cucumbers from each field. The farmer harvests 3799 = 1263*3 = <<1263*3=3799>>3799 cucumbers in total.
Expected answer: 11397
Correct? No
Problem: In a zoo, each of the 84 enclosures has 48 animals. How many animals are there in total in all the enclosures?
Gemma 2B:
Reasoning: There are 84 enclosures with 48 animals each, so there are 84 * 48 = <<84 * 48=4032>>4032 animals in total. ### Answer: 4032
Expected answer: 4032
Correct? Yes
Problem: In the same zoo, consider a scenario where each of the 84 enclosures instead housed 511 animals. In light of this change, how many animals would there be in total across all enclosures?
Gemma 2B:
Reasoning: If each enclosure housed 511 animals, there would be 84 * 511 = <<84 * 511=43044>>43044 animals in total. ### Answer: 43044
Expected answer: 42924
Correct? No
Problem: A farmer harvested 43 bundles of carrots, each bundle contains 40 carrots. How many carrots did the farmer harvest in total?
Gemma 2B:
Reasoning: 43 bundles * 40 carrots/bundle = <<43*40=1720>>1720 carrots were harvested in total. ### 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?
Gemma 2B:
Reasoning: The dragon burns 4618 trees in 3 days, so he burns 4618/3 = <<4618/3=1546>>1546 trees in total. ### Answer: 1546
Expected answer: 13854
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?
Gemma 2B:
Reasoning: The new mountain is 3618 * 1 = <<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?
Gemma 2B:
Reasoning: The new mountain is 3488 * 1 = <<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?
Gemma 2B:
Reasoning: The total area is 18^2 = <<18^2=324>>324 square miles. ### 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?
Gemma 2B:
Reasoning: The total area is 18^2 = <<18^2=324>>324 square miles. ### Answer: 324
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?
Gemma 2B:
Reasoning: The farm produces 60 clusters * 64 grapes/cluster = <<60*64=3840>>3840 grapes in a day. ### 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?
Gemma 2B:
Reasoning: 3224 x 4 = <<3224 x 4=12,896>>12,896 parts in total. ### 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?
Gemma 2B:
### Answer: 7661
Expected answer: 30644
Correct? No
Problem: A jacket factory produces 3425 jackets each day for two days. How many jackets have they produced?
Gemma 2B:
Reasoning: 3425 jackets/day * 2 days = 6850 jackets produced. ### 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?
Gemma 2B:
Reasoning: 2079 jackets/day * 2 days = 4158 jackets produced now. ### 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?
Gemma 2B:
Reasoning: 1380 towels/day x 9 days = <<1380 x 9 = 12640>>12640 towels have been produced. ### Answer: 12640
Expected answer: 12420
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?
Gemma 2B:
Reasoning: The manufacturer makes 1 pair of binoculars per day, and they sell for 7743 dollars each. So, the manufacturer makes 1 * 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?
Gemma 2B:
Reasoning: The manufacturer would make 1 * 7302 = <<7302>>dollars in a day from binoculars if they decided to reduce the price. ### Answer: 7302
Expected answer: 7302
Correct? Yes