Gemma 2B on 3.OA.A.3
Common Core Standard 3.OA.A.3
This standard covers the following:
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Problem: John has 12 tables. Each table requires 8 chairs. How many chairs does John need to accommodate all the tables?
Gemma 2B:
Reasoning: John needs 12 x 8 = <<12x8=96>>chairs to accommodate all the tables. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Suppose now, John only has 2 tables instead of 12. Using the same number of chairs per table, how many chairs would John need now to accommodate these tables?
Gemma 2B:
### Answer: 16
Expected answer: 16
Correct? Yes
Problem: In a magical fairy world, there are 4 fairies per house and 3 houses in a cluster. Each fairy creates 5 magic dust particles a day. How many magic dust particles are created in one day by all the fairies in a cluster?
Gemma 2B:
Reasoning: Each fairy creates 5 particles per day, and there are 4 fairies, so 4 fairies create 4 * 5 = <<4 * 5=20>>20 particles per day. In one day, all the fairies create 20 particles, so the total number of magic dust particles created in one day by all the fairies in a cluster is 20 particles. ### Answer: 20
Expected answer: 60
Correct? No
Problem: Harry has 9 sets of building blocks, each set contains 7 blocks. How many building blocks does Harry have in total?
Gemma 2B:
Reasoning: Harry has 9 sets of 7 blocks each, so he has 9 * 7 = <<9*7=63>>63 blocks in total. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: In the zoo, there are 12 peacocks in every enclosure. If there are 4 enclosures, how many peacocks are in the zoo in total?
Gemma 2B:
Reasoning: There are 12 peacocks/enclosure * 4 enclosures = <<12 peacocks/enclosure * 4 enclosures = 48 peacocks>> in the zoo. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Let's imagine that instead of 4 enclosures, the zoo originally had 7 enclosures. The same rule was followed: 12 peacocks were placed in each enclosure. How many peacocks would there be in the zoo in this scenario?
Gemma 2B:
### Answer: 84
Expected answer: 84
Correct? Yes
Problem: There are 24 children at the park and want to play on the jungle gym. If each jungle gym can accommodate 12 children at a time, how many turns must they take so that everyone gets a chance to play?
Gemma 2B:
Reasoning: To ensure that everyone gets a turn, they need to divide the total number of children by the number of children that can fit on one jungle gym. 24 ÷ 12 = <<24 ÷ 12=2>>2 children can play on the jungle gym at a time. Therefore, they need to take 2 turns to ensure that everyone gets a chance to play.
Expected answer: 2
Correct? Yes
Problem: On the farm, there are 7 groups of chicks. Each group consists of just 1 chick. The farmer then brought 9 times that amount of chicks. How many chicks did the farmer bring?
Gemma 2B:
Reasoning: The farmer brought 7 groups * 1 chick/group = <<7>>7 chicks. The farmer brought 9 * 7 = <<63>>63 chicks altogether. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: Initially, there were around 7 groups of chicks on the farm, with each group consisting of just 1 chick. But what if the farmer's original flock was smaller? Let's say he initially started with 4 times that amount of chicks. How many chicks would he have started with then?
Gemma 2B:
Reasoning: If the farmer initially started with 4 groups of chicks, then each group would have 1 chick. Therefore, the initial number of chicks on the farm was 4 * 1 = <<4>>4. ### Answer: 4
Expected answer: 28
Correct? No
Problem: Mr. Hansen, a very organized teacher, likes to keep ten copies of each handout for his class. If he is preparing a new handout for the next class, how many copies will he make?
Gemma 2B:
Reasoning: Mr. Hansen will make 10 copies of each handout, giving him a total of 10 handouts to distribute. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: Following the first problem, let's assume that Mr. Hansen changed his mind and decided to make only four copies of each handout instead of ten for his next class. How many copies of the handout will he now prepare?
Gemma 2B:
Reasoning: Mr. Hansen will make 4 copies of each handout, giving him a total of 4 handouts to distribute. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A snowman has a top hat that is 5 inches tall. The snowman himself, without his hat, is 4 times as tall as his hat. How tall is the snowman without his hat?
Gemma 2B:
Reasoning: The snowman without his hat is 4 * 5 = <<4*5=20>>20 inches tall. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: In the initial scenario, the snowman without his hat was 4 times as tall as his 5-inch hat, giving us a snowman's height of 20 inches. Now, in our revised scenario, let's consider that the snowman without his hat is instead only 4 times as tall as a 2-inch hat. How tall is the snowman without his hat in this new scenario?
Gemma 2B:
Reasoning: The snowman without his hat is 4 * 2 = <<4*2=8>>8 inches tall. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: In a video game, Susan collected 45 diamonds. If she divided those diamonds evenly among her 9 game characters, how many diamonds does each character get?
Gemma 2B:
Reasoning: Each character gets 5 diamonds. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Suppose initially, Susan had only found 12 diamonds instead of 45. If she still divided those diamonds evenly among her 9 game characters, how many diamonds would each character receive then?
Gemma 2B:
Reasoning: Each character would still get 5 diamonds. ### Answer: 5
Expected answer: 4/3
Correct? No
Problem: Jim has 12 guitar picks. He divided them equally among his 12 bandmates. How many guitar picks did each bandmate get?
Gemma 2B:
Reasoning: Each bandmate got 12/12 = <<12/12=1>> guitar picks. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: After dividing his guitar picks among his bandmates, Jim got a package from a fan. In the package, there were 11 more sets of guitar picks, each set having the same number of picks as each bandmate initially received. How many guitar picks were there in the package?
Gemma 2B:
### Answer: 11
Expected answer: 11
Correct? Yes
Problem: Considering the scenario when Jim initially had 12 guitar picks but instead of dividing them among 12 bandmates, he divided them among 6 bandmates. How many guitar picks did each bandmate get?
Gemma 2B:
Reasoning: Each bandmate got 12/6 = <<12/6=2>> guitar picks. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Suzie has 5 aquariums. Each aquarium has 12 fish. How many fish does Suzie have in total?
Gemma 2B:
Reasoning: Suzie has 5 fish in each aquarium, so she has 5 * 12 = <<5 * 12=60>>60 fish in total. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: After buying the new batch, Suzie realized her first count was wrong. She actually started with 4 aquariums, not 5, before she bought the new fish. With each aquarium having 12 fish, how many fish did Suzie initially have?
Gemma 2B:
Reasoning: Suzie started with 4 fish, and each aquarium now has 12 fish. Therefore, she started with 4 * 12 = <<4 * 12=48>>48 fish in total. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: A pirate found a treasure map. The map indicated that the treasure chest was buried at a spot marked by 2 stones multiplied by 9. How many stones mark the hiding place of the treasure chest?
Gemma 2B:
Reasoning: The treasure chest is buried at a spot marked by 2 stones multiplied by 9. That is, 18 stones. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: The pirate, now intrigued, discovered a third map in the larger treasure chest. This map was slightly different, indicating that the next treasure chest was marked by a spot identified not by 2 stones multiplied by 9, but by 3 stones multiplied by 9. How many stones mark the hiding spot of this third treasure chest?
Gemma 2B:
Reasoning: The treasure chest is buried at a spot marked by 3 stones multiplied by 9, which is 27 stones. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: A special type of butterfly lays eggs in batches of 6. If a butterfly lays 4 batches of eggs, how many eggs does she lay in total?
Gemma 2B:
Reasoning: 4 batches x 6 eggs/batch = <<4x6=24>>24 eggs in total. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After further research, it was discovered that the butterfly was actually laying eggs in batches of 4 instead of 6 as previously thought. If there were still 4 batches of eggs, how many eggs would the butterfly have laid in total then?
Gemma 2B:
### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Anna has 54 feathers she wants to use to stuff some pillows. If each pillow needs 9 feathers, how many pillows can she stuff?
Gemma 2B:
Reasoning: Anna can stuff 54 ÷ 9 = <<54 ÷ 9=6>>6 pillows with the feathers she has. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Following from the previous problem, Anna managed to stuff the pillows with the 54 feathers. If each stuffed pillow now needs to be sewn with 8 buttons, how many buttons will Anna need in total?
Gemma 2B:
### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Tom has 1 strawberry plant. Each strawberry plant can produce 9 strawberries. How many strawberries can Tom's plant produce?
Gemma 2B:
Reasoning: Tom's plant can produce 9 strawberries, and he has 1 plant. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Continuing from the earlier problem, let's say now Tom decides to increase his strawberry plant count to 5 plants. Given that each plant can produce 9 strawberries without any fertilizer, how many strawberries can all of Tom's plants now produce together?
Gemma 2B:
### Answer: 45
Expected answer: 45
Correct? Yes
Problem: In a large mansion, each room has 8 fireplaces. If there are 96 fireplaces in total, how many rooms are there in the mansion?
Gemma 2B:
Reasoning: Each room has 8 fireplaces, so there are 96/8 = <<96/8=12>>12 rooms in the mansion. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Following the last question, if each room in the mansion requires 7 workers to clean all of the fireplaces, how many workers are needed in total to clean all the fireplaces in the mansion?
Gemma 2B:
### Answer: 96
Expected answer: 84
Correct? No
Problem: John has 10 boxes he needs to transport in a truck. However, his truck can only hold 5 boxes at a time. How many trips does he need to make to transport all the boxes?
Gemma 2B:
Reasoning: John needs to make 10/5 = <<10/5=2>>2 trips to transport all the boxes. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: John has finished his trips and transported all the boxes. However, he realizes that each round trip he makes consumes 6 liters of fuel. How many liters of fuel has he used to make all of his trips?
Gemma 2B:
### Answer: 100
Expected answer: 12
Correct? No
Problem: Charlie has a total of 63 toy cars. If he groups them equally into 9 big boxes, how many toy cars will be in each box?
Gemma 2B:
Reasoning: Each box will have 63 ÷ 9 = <<63 ÷ 9=7>>7 toy cars. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Let's reconsider the organization of Charlie's toy cars. This time, instead of grouping them into 9 boxes, imagine he grouped the original 63 toy cars into only 5 boxes. How many toy cars will be in each box now?
Gemma 2B:
Reasoning: Each box will have 63 ÷ 5 = <<63 ÷ 5=12.6>>12.6 toy cars. ### Answer: 12.6
Expected answer: 63/5
Correct? Yes
Problem: On the farm, there are 24 hens. Each coop holds 12 hens. How many coops are needed to house all the hens?
Gemma 2B:
Reasoning: To house all the hens, we need to divide the total number of hens by the number of hens in each coop. 24 ÷ 12 = <<24 ÷ 12=2>>2 coops are needed to house all the hens. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: After reconsidering, the farmer decides to place the hens into larger coops where each coop can hold 8 hens. How many coops would he need now to house all the hens?
Gemma 2B:
Reasoning: To house all the hens, we need to divide the total number of hens by the number of hens in each coop. 24 ÷ 8 = <<24 ÷ 8=3>>3 coops are needed to house all the hens. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: If 3 large postcards are placed in 1 envelope, how many large postcards are in each envelope?
Gemma 2B:
Reasoning: If 3 large postcards are placed in 1 envelope, there will be 3 large postcards in each envelope. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Following the previous question - if 3 large postcards are placed in 1 envelope, and Macy decided to distribute 6 envelopes of the same kind, how many large postcards did she distribute in total?
Gemma 2B:
Reasoning: Macy distributed 3 * 6 = <<3*6=18>>18 large postcards in total. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Following the previous question - suppose that instead of placing 3 large postcards in each envelope, Macy starts to put only 2 large postcards in each envelope. How many large postcards are there in each envelope now?
Gemma 2B:
Reasoning: If Macy starts to put only 2 large postcards in each envelope, there will be 2 large postcards in each envelope. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Tommy is going camping and he needs sleeping bags. He took 12 sleeping bags from the storage and he remembered that he needs twice as many. How many sleeping bags does he need in total?
Gemma 2B:
Reasoning: Tommy took 12/2 = <<12/2=6>>6 sleeping bags from the storage. Tommy needs 12+6 = <<12+6=18>>18 sleeping bags in total. ### Answer: 18
Expected answer: 24
Correct? No
Problem: In a new game, Tina earns 3 points per level. If she successfully completes 5 levels, how many total points does she earn?
Gemma 2B:
Reasoning: Tina earns 3 points per level, so 5 levels x 3 points/level = <<5x3=15>>15 points. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In the same game, Tina decides to convert her points into game coins. If the current rate of conversion is 1 coin per point, how many game coins will she have after the conversion?
Gemma 2B:
### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In a video game, Tim needs 4 points to advance to the next level. If there are 9 levels in total, how many points does Tim need in total to finish the game?
Gemma 2B:
Reasoning: Tim needs 4 points to advance to the next level, and there are 9 levels in total. Therefore, he needs 4 * 9 = <<4 * 9=36>>36 points in total to finish the game. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: In the new season of the video game, the number of points needed to advance to the next level increased. Now, Tim needs 4 points to advance each of the 11 levels. What is the total number of points Tim needs now to finish the game?
Gemma 2B:
### Answer: 44
Expected answer: 44
Correct? Yes
Problem: Sophie has a bubble blowing machine. The machine blows bubbles at a rate of 2 bubbles per second. How many bubbles will be blown in one second?
Gemma 2B:
Reasoning: The machine blows 2 bubbles per second, so in one second, it blows 2 bubbles. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Sophie lets her bubble blowing machine run for another 9 seconds. How many more bubbles does the machine blow?
Gemma 2B:
Reasoning: The machine blows for 9 seconds, so in that time, it blows 2 bubbles per second. Therefore, in 9 seconds, the machine will blow 2 * 9 = <<2 * 9=18>>18 more bubbles. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Sophie changes the setting on her bubble blowing machine so that it now blows 7 bubbles per second instead of 2. How many bubbles will now be blown in one second?
Gemma 2B:
Reasoning: The machine now blows 7 bubbles per second, so in one second, it blows 7 bubbles. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Farmer Mike has 6 cows. Each of them gives 12 liters of milk every day. How many liters of milk does Farmer Mike get in a day?
Gemma 2B:
Reasoning: Each cow gives 12 liters of milk every day, so Farmer Mike gets 6 x 12 = <<6 x 12=72>>72 liters of milk in a day. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Farmer Mike decided to buy an additional cow, increasing his herd to 7 cows. If each cow still produces 12 liters of milk every day, how many liters of milk does Farmer Mike get in a day now?
Gemma 2B:
Reasoning: Each cow still gives 12 liters of milk, so Farmer Mike still gets 7 x 12 = <<7 x 12=84>>84 liters of milk in a day. ### Answer: 84
Expected answer: 84
Correct? Yes
Problem: John has 9 sunglasses in a line. He decided to divide his collection into equal parts. If each part contains 9 sunglasses, how many parts would he get?
Gemma 2B:
Reasoning: John would get 9/9 = 1 part. John would have 1 part, 9 sunglasses in each part, making 9 parts in total. ### Answer: 9
Expected answer: 1
Correct? No
Problem: A rocket scientist needs to calculate the fuel consumption of his rocket. Each second, the rocket uses 9 units of fuel. After 11 seconds of flight, how much fuel has been consumed?
Gemma 2B:
Reasoning: The fuel consumption is 9 units/second x 11 seconds = <<9 units/s x 11 s=99 units>>99 units of fuel. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: In the park, there are 4 swings available. Every swing can seat 3 children. How many children can the swings in the park seat altogether?
Gemma 2B:
Reasoning: There are 4 swings, each seating 3 children. Therefore, 4 children can be seated on the swings altogether. ### Answer: 4
Expected answer: 12
Correct? No
Problem: There are 3 magical fairies in Fairyland. Each fairy has a unique ability to create triplets of herself. How many fairies will there be after each of them uses their ability?
Gemma 2B:
Reasoning: After the first fairy uses her ability, there will be 3 more fairies. After the second fairy uses her ability, there will be 3 more fairies than there were before. After the third fairy uses her ability, there will be 3 more fairies than there were before. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: James, a songwriter, loves to include the word "love" in his songs. In one song, he mentioned the word "love" 4 times in each verse. How many times did he mention "love" if the song has 3 verses?
Gemma 2B:
Reasoning: If the song has 3 verses, there are 3 instances of the word "love". ### Answer: 3
Expected answer: 12
Correct? No
Problem: Mark has 48 apps on his phone. He likes to organize his apps into folders, and he can fit exactly 8 apps in each folder. How many folders does he need to organize all of his apps?
Gemma 2B:
Reasoning: Mark can organize his apps into 6 folders, each containing 8 apps. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Mark realized that he could fit more apps into each folder. If he reorganizes his apps so that each folder contains 6 apps instead of 8, how many folders will he need now to store all of his 48 apps?
Gemma 2B:
### Answer: 8
Expected answer: 8
Correct? Yes
Problem: If Johnny wants to distribute candies to his friends at school and he decides to give each friend 12 candies, and there are 3 friends, how many candies does he need in total?
Gemma 2B:
Reasoning: Johnny needs 12 * 3 = <<12 * 3=36>>36 candies in total. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: After distributing candies to his friends at school, Johnny decides to double the amount of candies he gave for the next day. How many candies will he need in total for the next day?
Gemma 2B:
### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Tommy has a racetrack that he plans to race his toy cars on. If he can race 10 cars in total and he races 5 cars at a time, how many turns does it take for him to race all his cars?
Gemma 2B:
Reasoning: Tommy can race 10 cars in total, so it will take 10 turns to race them. ### Answer: 10
Expected answer: 2
Correct? No
Problem: Sally has 40 feathers from her chickens. If she arranged the feathers in groups of 10, how many groups would she have?
Gemma 2B:
Reasoning: Sally would have 40 ÷ 10 = <<40 ÷ 10=4>>4 groups. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Sally sorts her 40 chicken feathers into groups of 10. Then, she decided to double the number of groups. How many groups does she have now?
Gemma 2B:
### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Sally originally thought she had sorted her 40 chicken feathers into groups of 10, but then she realized she actually sorted them into groups of 11 instead. How many groups does she have now?
Gemma 2B:
Reasoning: Sally started with 40 feathers, and each group had 10 feathers. If she sorted them into groups of 11, she would have 40 ÷ 11 = <<40 ÷ 11=3.73>>3 groups. She has 3 groups of 11 feathers each. ### Answer: 3
Expected answer: 40/11
Correct? No
Problem: Fairy Lily is 1 inch tall. However, when she uses her magical fairy dust, she can become 11 times her original size. How tall is Fairy Lily when she uses her magical dust?
Gemma 2B:
Reasoning: When Fairy Lily uses her magical dust, she becomes 11 times her original height, which is 1 inch. Fairy Lily's height when she uses her magical dust is 1 * 11 = <<11 inches>>11 inches. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: After using her magical dust to grow 11 times her original size, Fairy Lily decides to add another element to her spells. She casts a spell that multiplies her height by 7. How tall is Fairy Lily now?
Gemma 2B:
Reasoning: After the spell, Fairy Lily's height is 11 * 7 = <<77 inches>>77 inches. ### Answer: 77
Expected answer: 77
Correct? Yes
Problem: In a different scenario, if Fairy Lily only grows to 6 times her original size rather than 11 times using her magical dust, how tall would she become then?
Gemma 2B:
Reasoning: When Fairy Lily uses her magical dust, she becomes 6 times her original height, which is 1 inch. Fairy Lily's height when she uses her magical dust is 1 * 6 = <<6 inches>>6 inches. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: In a beehive, one female bee can produce 5 new bees every day. How many bees would she produce in 1 day?
Gemma 2B:
Reasoning: One bee can produce 5 new bees in 1 day. Therefore, in 1 day, the beehive can produce 5 * 1 = <<5>>5 bees. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Following the previous problem, if this female bee continues to produce bees at the same rate, how many bees will she have produced after 11 days?
Gemma 2B:
### Answer: 55
Expected answer: 55
Correct? Yes
Problem: Following the previous problems, consider if the female bee instead produced new bees at a slower rate, making only 5 bees every 3 days. How many bees would she produce in one day at this new rate?
Gemma 2B:
### Answer: 5
Expected answer: 5/3
Correct? No
Problem: Thomas has 35 piano sheets in his music stand. If he wants to evenly distribute his music sheets into 7 piano books, how many sheets will each book have?
Gemma 2B:
Reasoning: If Thomas wants to evenly distribute his music sheets into 7 books, each book should have 5 sheets. Therefore, each book will have 5 piano sheets. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: After arranging his music sheets into the piano books, Thomas decided to purchase 8 more books, each with the same number of sheets as the books he has now. How many more piano sheets did he buy?
Gemma 2B:
Reasoning: Thomas started with 35 sheets, and he added 8 more books, each with 5 sheets. Therefore, he bought 35 + 8 = <<35+8=43>>43 sheets of music sheets. ### Answer: 43
Expected answer: 40
Correct? No
Problem: Instead, suppose originally Thomas had 9 piano sheets. If he evenly distributes his music sheets into 7 piano books as before, how many sheets will each book have now?
Gemma 2B:
Reasoning: If Thomas distributes 9 sheets into 7 books, each book will have 1.4 sheets. Therefore, each book will have 1.4 sheets now. ### Answer: 1.4
Expected answer: 9/7
Correct? No
Problem: Mom baked 2 batches of cookies. Each batch contains 8 cookies. How many cookies did mom bake in total?
Gemma 2B:
Reasoning: Mom baked 2 batches * 8 cookies/batch = <<2*8=16>>16 cookies in total. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Earth has 3 natural satellites. If the number of moon rocks collected each year is triple the total number of these satellites, how many moon rocks would be collected in one year?
Gemma 2B:
Reasoning: If there are 3 natural satellites, then there are 3 * 3 = 9 moon rocks. If the number of moon rocks collected each year is triple the total number of these satellites, then there would be 9 * 3 = 27 moon rocks collected in one year.
Expected answer: 9
Correct? No
Problem: Doctor Thomas needs to visit 10 patients. He spends 5 minutes with each patient. How many minutes does he spend with all of his patients?
Gemma 2B:
Reasoning: Doctor Thomas spends 5 minutes * 10 patients = <<5 minutes * 10 patients = 50 minutes>>50 minutes with all of his patients. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: After visiting his patients, Doctor Thomas then spends twice the amount of time he spent with his patients on paperwork. How many minutes does he spend on paperwork?
Gemma 2B:
### Answer: 50 minutes
Expected answer: 100
Correct? No
Problem: In a different scenario, Doctor Thomas spends 6 minutes with each patient instead of 5 minutes. If he still has the same number of patients to visit, how many minutes will he spend with all his patients?
Gemma 2B:
### Answer: 60
Expected answer: 60
Correct? Yes
Problem: Jerry was thinking of purchasing new pants and he noticed a special offer. The shop was selling 11 pants for $55. After calculating the price for each pant, he decided to buy 12. How much would he spend?
Gemma 2B:
Reasoning: Each pants cost $55/11 = <<$55/11=5>>5 dollars. He bought 12 pants for $5*12 = <<$5*12=60>>60 dollars. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: Molly has 8 bottles of apple juice. She decides to multiply her collection of apple juice bottles by the same number she has. How many bottles of apple juice does Molly have now?
Gemma 2B:
Reasoning: Molly has 8 bottles of apple juice, so she will have 8 * 8 = <<8*8=64>>64 bottles of apple juice now. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Molly later decided that 8 bottles of apple juice were too many. So, she reduced her collection to 6 bottles. Then, she once again decided to increase her apple juice collection by multiplying the number of bottles she has by the same number. How many bottles of apple juice does Molly have now?
Gemma 2B:
### Answer: 6 bottles
Expected answer: 36
Correct? No
Problem: There are few craters on one of the sections of the moon. If that section is divided into 8 equal parts and we count 32 craters in total, how many craters are there in each part?
Gemma 2B:
Reasoning: Each part has 8/32 = <<8/32=0.25>>0.25 craters. There are 32 craters in 8 equal parts, so there are 0.25 craters in each part.
Expected answer: 4
Correct? No
Problem: There are 4 monkeys in the jungle. Each monkey has 7 bananas. How many bananas do the monkeys have in total?
Gemma 2B:
Reasoning: Each monkey has 7 bananas, so 4 monkeys have 4 * 7 = <<4*7=28>>28 bananas in total. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: Let's imagine that originally there were 9 monkeys instead of 4. If each monkey has 7 bananas, how many bananas do all the monkeys have in total now?
Gemma 2B:
Reasoning: Each monkey now has 7 bananas, so 9 monkeys have 9 * 7 = <<9*7=63>>63 bananas in total. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: Fiona has a block of cheese that weighs 32 ounces. If she wants to divide it into equal pieces which each weigh 4 ounces, how many pieces of cheese will she have?
Gemma 2B:
Reasoning: To divide 32 by 4, we can use the division algorithm: 32 ÷ 4 = 8. Therefore, Fiona will have 8 pieces of cheese that weigh 4 ounces each. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Fiona later found a smaller block of cheese that weighs 32 ounces. If she wants to cut this one into equal pieces which each weigh 9 ounces, how many pieces of cheese will she get from this block?
Gemma 2B:
Reasoning: To divide 32 by 9, we can use the division algorithm: 32 ÷ 9 = 3.78. Since we cannot cut a block of cheese into a fraction of a piece, Fiona will get 4 pieces of cheese from this block. ### Answer: 4
Expected answer: 32/9
Correct? No
Problem: Bob has 6 cups. If he wants to fill each cup with 1 glass of milk, how many glasses of milk does he need?
Gemma 2B:
Reasoning: To fill 6 cups with 1 glass of milk, we need to divide the total amount of milk by the number of cups. 6 ÷ 1 = <<6 ÷ 1=6>>6 cups of milk are needed to fill the 6 cups with 1 glass of milk. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Bob just realized he only has 2 cups instead of 6. If he still wants to fill each cup with 1 glass of milk, how many glasses of milk does he need now?
Gemma 2B:
Reasoning: To fill 2 cups with 1 glass of milk, we need to divide the total amount of milk by the number of cups. 2 ÷ 1 = <<2 ÷ 1=2>>2 cups of milk are needed to fill the 2 cups with 1 glass of milk. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In the zoo, there are 36 new-born rabbits divided evenly into 9 cages. Each cage is then assigned to two caretakers. How many caretakers are assigned per cage?
Gemma 2B:
Reasoning: Each cage is assigned to two caretakers, resulting in 36/2 = <<36/2=18>>18 caretakers being assigned to the zoo. ### Answer: 18
Expected answer: 8
Correct? No
Problem: Farmer Brown has made 42 blocks of cheese. Each wheel of cheese requires 7 blocks to make. How many whole wheels of cheese can he make with the current blocks he has?
Gemma 2B:
Reasoning: Farmer Brown can make 42 ÷ 7 = <<42 ÷ 7=6>>6 wheels of cheese with the current blocks he has. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: After making the cheese wheels, Farmer Brown decides to double his production in order to have enough for the upcoming village fair. Based on his current production rate, how many cheese wheels will he have after doubling his output?
Gemma 2B:
### Answer: 12
Expected answer: 12
Correct? Yes
Problem: John has a square kite. Each side of the kite is 4 feet long. What is the total length of two sides of the kite in feet?
Gemma 2B:
Reasoning: The total length of two sides of the kite is 4 feet x 2 = <<4 feet x 2=8 feet>>8 feet. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: John wants to make another identical kite. How many feet of string will he need for the two sides of both kites?
Gemma 2B:
Reasoning: Each side of the new kite will be half the length of the original side, which is 4 feet. Therefore, the new sides will be 4 feet / 2 = <<4 feet / 2=2 feet>>2 feet long. ### Answer: 2
Expected answer: 16
Correct? No
Problem: Suppose that John decides to make a very small kite with each side only 1 foot long. What is the total length of two sides of this smaller kite in feet?
Gemma 2B:
Reasoning: The total length of two sides of the smaller kite is 1 foot x 2 = <<1 foot x 2=2 feet>>2 feet. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Anna has 4 bags of candy, each containing 3 candies. How many candies does she have in total?
Gemma 2B:
Reasoning: Anna has 4 bags with 3 candies each, so she has 4 * 3 = <<4 * 3=12>>12 candies in total. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In the previous situation, what if Anna initially had only 1 bag of candy, each containing 3 candies? How many candies would she have initially?
Gemma 2B:
Reasoning: If Anna initially had 1 bag with 3 candies, she would have 1 * 3 = <<1 * 3=3>>3 candies initially. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A garden has 6 patches of flowers. Each patch attracts 3 butterflies. How many butterflies are there in total in the garden?
Gemma 2B:
Reasoning: Each patch attracts 3 butterflies, so 6 patches * 3 butterflies/patch = 18 butterflies in the garden. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: In a similar situation, imagine if initially there were 8 patches of flowers instead of 6 and each patch still attracts 3 butterflies. How many butterflies would there be in total then?
Gemma 2B:
### Answer: 24
Expected answer: 24
Correct? Yes
Problem: Sophia is having a party. She wants to divide 72 cookies evenly among her 8 friends, giving them an equal number. She then decides to gift each friend 5 times the amount they initially received. How many cookies will each friend get in total?
Gemma 2B:
Reasoning: Each friend will get 72/8 = <<72/8=9>>9 cookies. Sophia will give each friend 5 * 9 = <<5 * 9=45>>45 cookies in total. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: Sophia revisited her party plans and decided to invite two more friends, resulting in a total of 10 friends. Now she wants to divide the same 72 cookies evenly among all her friends, and again, give each friend 5 times the initial amount. How many cookies will each friend get in total now?
Gemma 2B:
Reasoning: Each friend will get 72/10 = <<72/10=7.2>>7.2 cookies. Sophia will give each friend 5 * 7.2 = <<5 * 7.2=36>>36 cookies in total. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: John has 3 cameras. Each camera can take 1 picture per second. If John uses all his cameras to take pictures for 5 seconds, how many pictures will he have taken in total?
Gemma 2B:
Reasoning: John will take 3 * 5 = <<3*5=15>>15 pictures in 5 seconds. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Tommy has 3 boxes of toys. Each box contains 9 toys. How many toys does Tommy have in total?
Gemma 2B:
Reasoning: Tommy has 3 boxes with 9 toys each, so he has 3 * 9 = <<3*9=27>>27 toys in total. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: Tommy realized he made a mistake when counting his toys. Instead of having 3 boxes of toys, he actually had 10 boxes. Each box still contains 9 toys. Now, how many toys does Tommy really have?
Gemma 2B:
Reasoning: Tommy started with 3 boxes of 9 toys each, so he had 3 * 9 = <<3*9=27>>27 toys in total. ### Answer: 27
Expected answer: 90
Correct? No
Problem: Joanna has a clothing store and packs 10 shirts into 5 boxes. How many shirts does each box contain?
Gemma 2B:
Reasoning: Each box contains 10/5 = <<10/5=2>>2 shirts. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: What if Joanna originally had 7 shirts instead of 10 and she still wants to distribute them evenly into 5 boxes? How many shirts will each box contain then?
Gemma 2B:
Reasoning: Each box will contain 7/5 = <<7/5=1.4>>1.4 shirts. ### Answer: 1.4
Expected answer: 7/5
Correct? Yes
Problem: Jack has 9 scooters. Harry, seeing Jack's love for scooters, decided to give him seven times as many scooters for his birthday. How many scooters did Harry give to Jack?
Gemma 2B:
Reasoning: Harry gave Jack 7 * 9 = <<7*9=63>>63 scooters. ### Answer: 63
Expected answer: 63
Correct? Yes
Problem: Suppose instead of having 9 scooters originally, Jack started with 6 scooters. How many scooters would Harry give to Jack now, following Harry's original plan of giving seven times as many scooters as Jack initially had?
Gemma 2B:
Reasoning: Harry would give Jack 6 * 7 = <<6*7=42>>42 scooters now. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: There are 7 hours on a clock. Each hour has 4 quarters. How many quarters are there in three clocks?
Gemma 2B:
Reasoning: There are 4 * 3 = <<4 * 3=12>>12 quarters in three clocks. ### Answer: 12
Expected answer: 84
Correct? No
Problem: Liam has 35 scoops of ice cream. If he puts an equal amount of ice cream into 5 cones, how many scoops of ice cream does each cone get?
Gemma 2B:
Reasoning: Each cone will get 35/5 = <<35/5=7>>7 scoops of ice cream. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: In the previous problem, we had 35 scoops of ice cream to start with. But what if we start with only 8 scoops of ice cream, and we are still trying to divide it equally into 5 cones? How many scoops of ice cream would each cone hold then?
Gemma 2B:
Reasoning: Each cone will still get 8/5 = <<8/5=1.6>>1.6 scoops of ice cream. ### Answer: 1.6
Expected answer: 8/5
Correct? Yes
Problem: Billy has 8 toy trains at his house. He went to a train festival and got 9 times more trains than he originally had. How many trains did Billy get at the festival?
Gemma 2B:
Reasoning: Billy started with 8 trains, and got 9 * 8 = <<9*8=72>>72 trains at the festival. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: If Billy originally had 8 toy trains, but at the train festival, he was able to gather 8 times more trains than he originally had instead of 9, how many trains did Billy get at the festival?
Gemma 2B:
Reasoning: Billy started with 8 trains, and got 8 * 9 = <<8*9=72>>72 trains at the festival. ### Answer: 72
Expected answer: 64
Correct? No
Problem: A librarian decided to arrange books on a shelf. She placed 8 books in a row and made sure every row had the same number of books. How many books were there if the arrangement was square (i.e., the same number of rows as there were books in a row)?
Gemma 2B:
Reasoning: The number of books in a row was determined by the number of books in the first row. The first row had 8 books, and the arrangement was square, so the other rows had the same number of books. There were 8 books in the first row, and the remaining rows each had 8 books. ### Answer: 8
Expected answer: 64
Correct? No
Problem: Lisa had 10 yards of fabric. If it takes 1 yard of fabric to make a skirt, how many skirts can Lisa make?
Gemma 2B:
Reasoning: If 1 yard of fabric makes 1 skirt, then 10 yards of fabric can make 10 skirts. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: Sarah receives 12 phone calls every day on her work phone. But, she only answers a quarter of those phone calls. How many phone calls does she answer a day?
Gemma 2B:
Reasoning: Sarah receives 12 phone calls every day, and she only answers a quarter of those phone calls. So, Sarah answers 12/4 = <<12/4=3>>3 phone calls a day. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Following up on the previous problem, if for each phone call Sarah answered, she received 11 more calls as a response, how many additional calls did she receive in a day?
Gemma 2B:
Reasoning: If Sarah answered 3 phone calls a day, she received 3+11 = <<3+11=14>>14 additional calls in a day. ### Answer: 14
Expected answer: 33
Correct? No
Problem: Melanie is planning for a camping trip and she needs 3 sleeping bags for each of her 4 friends. How many sleeping bags does Melanie need in total?
Gemma 2B:
Reasoning: Melanie needs 3 sleeping bags for each of her 4 friends, so she needs 4 * 3 = <<4*3=12>>12 sleeping bags in total. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Suppose Melanie originally planned to bring 3 sleeping bags for each of her 6 friends instead of 4, for the camping trip. How many sleeping bags would Melanie need in total for the camping trip now?
Gemma 2B:
Reasoning: If Melanie originally planned to bring 3 sleeping bags for each of her 6 friends, then she would need 6 * 3 = <<6*3=18>>18 sleeping bags in total. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Johnny has 3 times the amount of snowballs that Billy does. If Billy has 6 snowballs, how many snowballs does Johnny have?
Gemma 2B:
Reasoning: Johnny has 3 * 6 = <<3*6=18>>18 snowballs. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Consider now that initially, Johnny had 3 times the amount of snowballs that Billy does, not 5 times. If Billy still has 11 snowballs, how many snowballs does Johnny have now?
Gemma 2B:
Reasoning: Johnny has 3 * 11 = <<3*11=33>>33 snowballs. ### Answer: 33
Expected answer: 33
Correct? Yes
Problem: In a game, each star is equivalent to 5 points. If Tom collected 1 star, how many points does he have?
Gemma 2B:
Reasoning: Tom collected 1 star, which is equivalent to 5 points. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Tom decided to play more of the game and managed to collect 4 more stars. Considering that each star is equivalent to 5 points, how many additional points has he earned now?
Gemma 2B:
### Answer: 20
Expected answer: 20
Correct? Yes
Problem: In the game, what if initially each star was equivalent to 7 points instead of 5? If Tom collected 1 star as before, how many points would he have now?
Gemma 2B:
Reasoning: If each star was initially equivalent to 7 points, then 1 star would be worth 7 points. Therefore, Tom would have 7 points after collecting 1 star. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Captain Jack has 4 cannons on his pirate ship. If each cannon fires 12 cannonballs, how many cannonballs were fired in total?
Gemma 2B:
Reasoning: Each cannon fires 12, so 4 cannons fire 4 * 12 = <<4 * 12=48>>48 cannonballs in total. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Given that Captain Jack actually had 4 cannons, but each can fire only 3 cannonballs, how many cannonballs were fired in total now?
Gemma 2B:
### Answer: 48
Expected answer: 12
Correct? No
Problem: Emma has a pack of 10 colored pencils. She wants to have as many colored pencils as the square of the number she currently has. How many colored pencils will she have then?
Gemma 2B:
Reasoning: Emma has 10 pencils. The square of 2 is 4. So, Emma will have 4 colored pencils when she has 10. ### Answer: 4
Expected answer: 100
Correct? No
Problem: Emily had 70 cookies. She decided to pack them in bags with each bag containing 7 cookies. After getting the number of bags, she decided to multiply it by 6 for a camping trip. How many cookies does she need for her intended number of sleeping bag sets?
Gemma 2B:
Reasoning: After packing, Emily had 70 ÷ 7 = <<70 ÷ 7=10>>10 cookies left. She packed 10 cookies in each bag, resulting in 10 bags for her camping trip. ### Answer: 10
Expected answer: 60
Correct? No
Problem: Captain Redbeard has 6 cannons on one side of his pirate ship. Each cannon fires 4 cannonballs at a time when the ship goes into battle. During a sea fight, with one shot from each of the cannons on one side of the ship, how many cannonballs are fired in total?
Gemma 2B:
Reasoning: Each cannon fires 4 balls at a time, so 6 cannons fire 4 * 6 = <<4 * 6=24>>24 cannonballs in total. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: In a different battle, Captain Redbeard decided to increase his firepower and loaded each cannon with 11 cannonballs. With one shot from each of the 6 cannons on one side of his ship, how many cannonballs would be fired in total from that side?
Gemma 2B:
Reasoning: Each cannon now fires 11 balls at a time, so 6 cannons fire 11 * 6 = <<11 * 6=66>>66 cannonballs in total from that side. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: A magical unicorn walks 72 miles every day. If it takes the unicorn 12 hours to cover that distance. How many miles does the unicorn cover every hour?
Gemma 2B:
Reasoning: The unicorn covers 72/12 = <<72/12=6>>6 miles every hour. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: In a magical turn of events, the unicorn's speed is tripled for an enchanting hour. Given the unicorn's new pace, how many miles would it cover in that enchanted hour?
Gemma 2B:
### Answer: 18
Expected answer: 18
Correct? Yes
Problem: Sue has 3 potato plants and each plant yields 10 potatoes. How many potatoes does Sue have in total?
Gemma 2B:
Reasoning: Sue has 3 plants, each yielding 10 potatoes. So, Sue has 3 * 10 = <<3 * 10=30>>30 potatoes in total. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Suppose that Sue originally planted 3 potato plants instead of 10, and each of those plants still produced 3 potatoes. How many potatoes would Sue have harvested from her original planting?
Gemma 2B:
Reasoning: If Sue originally planted 3 plants, each yielding 3 potatoes, then she would have planted 3 * 3 = <<3 * 3=9>>9 plants. Therefore, Sue would have harvested 9 potatoes from her original planting. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: An astronaut walks a distance of 20 kilometers per day on the lunar surface. If they decide to only walk for 1/5 of the day, how many kilometers do they cover?
Gemma 2B:
Reasoning: If they walk for 1/5 of the day, they will cover 20 * 1/5 = <<20*1/5=4>>4 kilometers. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Following up on the previous problem, let's say on a particular day, the astronaut decides to increase their walking duration from 1/5 of a day to 12/5 of a day. How many kilometers would they cover on that day?
Gemma 2B:
Reasoning: If they increase their walking duration from 1/5 to 12/5 of a day, they will cover 20 * (12/5) = <<20*12/5=48>>48 kilometers. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: In a new scenario, let's say the astronaut now walks a distance of 20 kilometers per day on the lunar surface but decides to walk for only 1/6 of the day instead of 1/5. How many kilometers would they cover in this case?
Gemma 2B:
Reasoning: If they walk for 1/6 of the day, they will cover 20 * 1/6 = <<20*1/6=3.33>>3.33 kilometers. ### Answer: 3.33
Expected answer: 10/3
Correct? No
Problem: Mr. Lemon has 10 lemons and he wants to evenly distribute them into 5 boxes. How many lemons will there be in each box?
Gemma 2B:
Reasoning: To distribute the 10 lemons equally into 5 boxes, each box will have 2 lemons. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Mr. Lemon decides to add 2 more lemons to each box, because he wants to share more lemons with his friends. How many lemons will there be in each box now?
Gemma 2B:
### Answer: 4
Expected answer: 4
Correct? Yes
Problem: After some thought, Mr. Lemon considers distributing the ten lemons among six boxes instead of five. How many lemons would there be in each box if he decides to distribute them in this way?
Gemma 2B:
### Answer: 2
Expected answer: 5/3
Correct? No
Problem: A helicopter pad can hold 4 helicopters at a time. The city has decided to build 11 new helicopter pads. How many helicopters can all of the helicopter pads hold when combined?
Gemma 2B:
Reasoning: The number of helicopters that can be held by all of the pads is equal to the number of pads, which is 11. ### Answer: 11
Expected answer: 44
Correct? No
Problem: John decided to re-arrange his room and he has a single bed that takes the space of 1 large carpet tile. If his room size requires 12 such carpet tiles fully side by side, how many bed spaces does John's room have?
Gemma 2B:
Reasoning: John's room has 12 bed spaces because 12 carpet tiles fully side by side cover the same area as 1 room. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In a different layout, John realized he could fit 3 beds in the space currently occupied by 1 large carpet tile due to the smaller size of new bunk beds he purchased. If his room size still requires 12 large carpet tiles side by side, then, how many new bunk beds can he fit in his room now?
Gemma 2B:
### Answer: 3
Expected answer: 36
Correct? No
Problem: Sophie has 8 flowerpots. In each flowerpot, she plans to plant 3 flowers. How many flowers will Sophie plant in total?
Gemma 2B:
Reasoning: Sophie will plant 3 flowers in each of the 8 flowerpots, resulting in 8 * 3 = <<8*3=24>>24 flowers in total. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: After successfully planting flowers in her 8 flowerpots, Sophie decided to double the total number of flowers she planted. How many flowers does she have now?
Gemma 2B:
### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Now imagine if Sophie originally had 12 flowerpots instead of 8. How many flowers would she have planted if she still planted 3 flowers per flowerpot?
Gemma 2B:
### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Shawn has 12 gift boxes and each box contains 6 presents inside. How many presents does Shawn have in total?
Gemma 2B:
Reasoning: Shawn has 12 x 6 = <<12x6=72>>72 presents in total. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: What if Shawn had only 2 gift boxes instead of 12 and each box still contained 6 presents. How many presents does Shawn have in total now?
Gemma 2B:
### Answer: 24
Expected answer: 12
Correct? No
Problem: In the factory, each RoboFalcon assembler can build 8 robots per hour. How many robots can it build in 12 hours?
Gemma 2B:
Reasoning: Each RoboFalcon assembler can build 8 robots in 1 hour, so 8 robots can be built in 12 hours. ### Answer: 8
Expected answer: 96
Correct? No
Problem: Tom has setup 2 tents and each tent has 8 poles. If each pole has 6 strengths attached, how many strings are there in total?
Gemma 2B:
Reasoning: Each tent has 8 poles, and each pole has 6 strengths, so there are 8*6 = <<8*6=48>>48 strings in total. ### Answer: 48
Expected answer: 96
Correct? No
Problem: Jane received a set of 10 camera filters as a gift. She decided to equally distribute these between her 5 cameras. How many filters would each camera get?
Gemma 2B:
Reasoning: Jane distributed 10/5 = <<10/5=2>>2 filters to each camera. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In retrospect, Jane realized that she had initially given 6 filters to each camera instead of 10. If she continued to distribute the filters equally between her 5 cameras, how many filters would each camera get initially?
Gemma 2B:
### Answer: 6
Expected answer: 6/5
Correct? No
Problem: An elephant takes 1 hour to drink 1 gallon of water. If the elephant spends 1 hour by the waterhole, how many gallons of water did the elephant drink?
Gemma 2B:
Reasoning: The elephant drinks 1/1 = <<1/1=1>> gallons of water in 1 hour. Therefore, the elephant drank 1 gallon of water in 1 hour.
Expected answer: 1
Correct? Yes
Problem: If one gallon of milk can fill up 2 large containers, how many gallons of milk will be needed to fill 4 large containers?
Gemma 2B:
Reasoning: 4 large containers = 2 large containers/container. Therefore, 4 large containers will need 2 large containers of milk to be filled. ### Answer: 8
Expected answer: 2
Correct? No
Problem: Eddy the pirate has 3 pieces of gold. For every gold coin he has, he gets a matching emerald from the captain. How many emeralds does Eddy have now?
Gemma 2B:
Reasoning: Eddy has 3 gold coins, and for every coin he has, he gets 1 emerald. So, Eddy has 3+1 = <<3+1=4>>4 emeralds now. ### Answer: 4
Expected answer: 3
Correct? No
Problem: A dolphin can jump 20 feet above water. Given that every 10 feet is considered a level, what level does the dolphin reach when it jumps?
Gemma 2B:
Reasoning: The dolphin jumps 20 feet, which is 20/10 = 2 levels above the water. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: After observing the dolphin's jumping level, researchers discovered that dolphins can increase their jump level by 11 times when aided by a strong wave. What would be the dolphin's level if it gets help from a strong wave?
Gemma 2B:
### Answer: 22
Expected answer: 22
Correct? Yes
Problem: In light winds, the jumping level of the dolphin decreases to 20 feet instead of the usual 20 feet per level. Given that every 11 feet is still considered a level, what level does the dolphin now reach when it jumps in light winds?
Gemma 2B:
### Answer: 11
Expected answer: 20/11
Correct? No
Problem: Jill has 28 balls which she wants to distribute equally among her 7 friends. How many balls will each friend get?
Gemma 2B:
Reasoning: Jill will distribute 28 ÷ 7 = <<28 ÷ 7=4>>4 balls to each friend. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In the previous problem, Jill divided her 28 balls equally among her 7 friends. But what if Jill decided to divide the 28 balls equally among 10 friends instead? How many balls will each friend get then?
Gemma 2B:
Reasoning: Jill will distribute 28 ÷ 10 = <<28 ÷ 10=2.8>>2.8 balls to each friend. ### Answer: 2.8
Expected answer: 14/5
Correct? Yes
Problem: In a robotic factory, there are 8 machines on the assembly line. Each of these machines can manufacture the same number of robots per day as there are machines. How many robots can the entire factory produce in one day?
Gemma 2B:
Reasoning: Each machine can manufacture 1 robot per day, so the entire factory can manufacture 8 robots per day. ### Answer: 8
Expected answer: 64
Correct? No
Problem: In a geometry class, Maya was given a task to divide a line segment into smaller segments. Initially, the line segment was 15 cm long. She decided to cut it into equal parts each 5 cm long. How many segments did Maya get in the end?
Gemma 2B:
Reasoning: Maya divided 15 cm by 5 cm, which gives her 3 equal parts. Therefore, Maya got 3 segments in the end. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Maya realized that if she had divided the original 15 cm line segment into 7 cm pieces, the number of segments would have been different. If she cut the 15 cm line into equal pieces of 7 cm each, how many segments would she have obtained then?
Gemma 2B:
### Answer: 2
Expected answer: 15/7
Correct? No
Problem: Tommy has 5 types of cheese. He multiplies this by 5 to provide variety on his cheese platter for a party. How many types of cheese does Tommy have for his cheese platter now?
Gemma 2B:
Reasoning: Tommy has 5 types of cheese, each of which he multiplies by 5 to provide variety. 5 * 5 = <<5 * 5 =25>>25 types of cheese. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: If Tommy originally had 7 types of cheese instead of 5, and he still intended to multiply this by 5 to provide variety on his cheese platter, how many types of cheese would Tommy have for his cheese platter then?
Gemma 2B:
Reasoning: If Tommy originally had 7 types of cheese, then he started with 7 and multiplied it by 5 to provide variety. 7 * 5 = <<7 * 5 =35>>35 types of cheese. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: The width of a river increases by 10 feet every year. After 9 years, how much has the width of the river increased?
Gemma 2B:
Reasoning: The width increases by 10 feet/year * 9 years = <<10 feet/year * 9 years = 90 feet>>90 feet. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: If the width of the river only increases by 10 feet every 3 years instead of every year, how much does the river's width increase after 9 years?
Gemma 2B:
Reasoning: The width increases by 10 feet/year * 3 years = <<10 feet/year * 3 years = 30 feet>>30 feet. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Jessica has a collection of stuffed animals. She currently groups them in sets of 4. If she has 20 stuffed animals in total, how many groups does she have?
Gemma 2B:
Reasoning: Jessica has 20 ÷ 4 = <<20 ÷ 4=5>>5 groups. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Originally, Jessica decided to group her collection of 20 stuffed animals into sets of 4. But what if she had originally decided to group her stuffed animals into sets of 4, but she only had 9 stuffed animals instead of 20? How many groups would she have then?
Gemma 2B:
Reasoning: If Jessica had originally decided to group her stuffed animals into sets of 4, but she only had 9, she would have 4 groups with 4 animals each. ### Answer: 4
Expected answer: 9/4
Correct? No
Problem: Tom has a set of 5 drums. Each of the drums has a length of 8 inches. Find out, How long would it be if he put all of his drums side by side?
Gemma 2B:
Reasoning: The length of all the drums together is 5 * 8 = <<5*8=40>>40 inches. ### Answer: 40
Expected answer: 40
Correct? Yes
Problem: Following the last question, Tom decided to add a second row of drums beneath the first. If he maintains the same length of 8 inches per drum and the same number of 5 drums per row, how long will the two rows of drums combined be if placed side by side?
Gemma 2B:
Reasoning: The length of the two rows combined is 5 * 8 = <<5*8=40>>40 inches. ### Answer: 40
Expected answer: 80
Correct? No
Problem: Following the previous question, let's consider a different scenario. Suppose, initially, each of Tom's 5 drums were 11 inches long instead of 8. How long would it be if he put all of his drums side by side?
Gemma 2B:
Reasoning: The length of all the drums together is 5 * 11 = <<5*11=55>>55 inches. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: Jack has 5 apples and decides to multiply it by 6 to get the total number of oranges he can trade them for. How many oranges can he get?
Gemma 2B:
Reasoning: Jack has 5 apples, and multiplying them by 6 will give him the total number of oranges he can trade them for, which is 5 * 6 = <<5 * 6 =30>>30. ### Answer: 30
Expected answer: 30
Correct? Yes
Problem: Now consider if Jack started with 12 apples instead of 5. He decides to multiply it by 6 again to see how many oranges he can get. How many oranges can he now get?
Gemma 2B:
Reasoning: Jack started with 12 apples, and multiplying them by 6 will give him the total number of oranges he can trade them for, which is 12 * 6 = <<12 * 6 =72>>72. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: A set of marker pens come with 6 different colors. If a whole pack contains 72 marker pens, how many sets of different colors are there in it?
Gemma 2B:
Reasoning: There are 6 different colors, each contained in a separate set. So, there are 6 sets of different colors in a pack of 72 marker pens.
Expected answer: 12
Correct? No
Problem: A dragon guards a cave that contains 80 pieces of gold. The dragon decided to equally distribute the gold into 8 separate piles. How many pieces of gold does each pile contain?
Gemma 2B:
Reasoning: Each pile contains 80/8 = <<80/8=10>>10 pieces of gold. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: After dividing the gold into 8 piles, the dragon decided to protect the most important treasure trove, which contains 4 times the number of gold pieces in each pile. How much gold is in the dragon's special pile?
Gemma 2B:
### Answer: 40
Expected answer: 40
Correct? Yes
Problem: Let's reconsider the original situation. Suppose the dragon initially had 80 pieces of gold but decided to divide them into 11 piles instead of 8. How many pieces of gold would each pile contain in this scenario?
Gemma 2B:
Reasoning: Each pile would then contain 80/11 = <<80/11=7.3>>7.3 pieces of gold. ### Answer: 7.3
Expected answer: 80/11
Correct? No
Problem: John wants to divide his camping area of 44 square meters into 11 equal sections. Each of these sections would host a tent. If each tent can accommodate 12 campers, how many campers can camp in total?
Gemma 2B:
Reasoning: Each section can accommodate 12 campers, so 44 ÷ 12 = <<44 ÷ 12=3.8>>3.8 campers can camp in the area. ### Answer: 3.8
Expected answer: 48
Correct? No
Problem: A tiger can travel 6 miles in an hour. How far can it travel in 3 hours?
Gemma 2B:
Reasoning: A tiger can travel 6 miles in 1 hour, so in 3 hours, it can travel 6 * 3 = <<18>>18 miles. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: In the previous problem we found out that a tiger can travel 6 miles in an hour. But what if the tiger could cover more ground in the same time span? If the tiger can travel 7 times as far in an hour, how far can it travel then?
Gemma 2B:
### Answer: 7 * 6 = <<42>>42 miles
Expected answer: 42
Correct? Yes
Problem: A number sets of 6 are multiplied by 7. What is the resulting product?
Gemma 2B:
Reasoning: 6x7 = <<6x7=42>>42. The resulting product of 6 numbers multiplied by 7 is 42.
Expected answer: 42
Correct? Yes
Problem: A doctor works double shift every day. If one shift is 6 hours, for how many hours does the doctor work each day?
Gemma 2B:
Reasoning: A doctor works 2 shifts per day, each lasting 6 hours. So, the doctor works 2 * 6 = <<2 * 6=12>>12 hours each day.
Expected answer: 12
Correct? Yes
Problem: A farmer plants 6 seeds in each row of his field. If he has 11 rows total, how many seeds did he plant?
Gemma 2B:
Reasoning: 6 seeds/row x 11 rows = <<6 seeds/row x 11 rows=66>>66 seeds were planted. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: Mommy has a tradition that for every month, she buys 5 new toys for her baby. If the baby is 10 months old, how many toys has Mommy bought in total?
Gemma 2B:
Reasoning: At the beginning of the month, Mommy has 5 toys. Every month, she buys 5 new toys, so after 10 months, she will have 5 + 5 = 10 toys. ### Answer: 10
Expected answer: 50
Correct? No