Gemini-1.5 Pro 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?
Gemini-1.5 Pro:
Reasoning: To find the total number of chairs, we multiply the number of tables by the number of chairs per table. That's 12 tables * 8 chairs/table = 96 chairs. ### 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?
Gemini-1.5 Pro:
Reasoning: Since each table still needs 8 chairs, John now needs 2 tables * 8 chairs/table = 16 chairs. ### 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?
Gemini-1.5 Pro:
Reasoning: There are 4*3 = <<4*3=12>> fairies in a cluster. All the fairies in a cluster create 12*5 = <<12*5=60>> magic dust particles a day. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: In the magical fairy world, each magic dust particle created lasts for 1 whole week. How many magic dust particles will be available in a cluster of houses after a week?
Gemini-1.5 Pro:
Reasoning: Each day, 60 magic dust particles are created in a cluster. Since each particle lasts a week, after a week, there will be 60*7 = <<60*7=420>> magic dust particles. ### Answer: 420
Expected answer: 60
Correct? No
Problem: Previously, we discovered that each fairy creates 5 magic dust particles a day. But what happens if instead, each fairy creates 8 magic dust particles a day? How many magic dust particles are then created in one day by all the fairies in a cluster?
Gemini-1.5 Pro:
Reasoning: We know that there are 12 fairies in a cluster. If each fairy creates 8 magic dust particles a day, then in total they create 12 * 8 = <<12*8=96>>96 magic dust particles a day. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Harry has 9 sets of building blocks, each set contains 7 blocks. How many building blocks does Harry have in total?
Gemini-1.5 Pro:
Reasoning: Since Harry has 9 sets of building blocks and each set has 7 blocks, he has a total of 9 * 7 = <<9*7=63>>63 blocks. ### 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?
Gemini-1.5 Pro:
Reasoning: There are 12*4 = <<12*4=48>>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?
Gemini-1.5 Pro:
Reasoning: With 7 enclosures, there would be a total of 12 * 7 = <<12*7=84>> 84 peacocks. ### 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?
Gemini-1.5 Pro:
Reasoning: We need to divide the total number of children (24) by the number of children each jungle gym can accommodate (12): 24 children / 12 children/jungle gym = 2 turns. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Suppose now that there are 24 children at the park, but the jungle gym has been upgraded and can now accommodate 2 children at a time. How many turns would they now need to make sure everyone gets a chance to play?
Gemini-1.5 Pro:
Reasoning: We need to divide the total number of children (24) by the new capacity of the jungle gym (2 children): 24 children / 2 children/turn = 12 turns. ### Answer: 12
Expected answer: 12
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?
Gemini-1.5 Pro:
Reasoning: There are 7 * 1 = <<7*1=7>>7 chicks on the farm. The farmer brought 7 * 9 = <<7*9=63>>63 chicks. ### 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?
Gemini-1.5 Pro:
Reasoning: There were 7 * 1 = <<7*1=7>>7 chicks on the farm. The farmer originally started with 7 * 4 = <<7*4=28>>28 chicks. ### Answer: 28
Expected answer: 28
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: Mr. Hansen likes to keep 10 copies of each handout he makes. ### 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?
Gemini-1.5 Pro:
Reasoning: Mr. Hansen has decided to make 4 copies of each handout. ### 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?
Gemini-1.5 Pro:
Reasoning: The snowman is 4*5 = <<4*5=20>>20 inches tall without his hat. ### Answer: 20 inches
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?
Gemini-1.5 Pro:
Reasoning: The snowman is now 4*2 = <<4*2=8>>8 inches tall without his hat. ### Answer: 8 inches
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?
Gemini-1.5 Pro:
Reasoning: If Susan divides 45 diamonds among 9 characters, each character gets 45/9 = <<45/9=5>>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?
Gemini-1.5 Pro:
Reasoning: If Susan divides 12 diamonds among 9 characters, each character would get 12/9 = <<12/9=1.3333333333333333>>1.33 diamonds. Since we can't have fractions of diamonds, each character would receive 1 diamond, with some diamonds leftover. ### Answer: 1
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?
Gemini-1.5 Pro:
Reasoning: Each bandmate got 12/12 = <<12/12=1>>1 guitar pick. ### 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?
Gemini-1.5 Pro:
Reasoning: We know from the previous problem that each bandmate received 1 guitar pick. Since there were 11 sets with that same number of picks, there were 11*1 = <<11*1=11>>11 guitar picks in the package. ### 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?
Gemini-1.5 Pro:
Reasoning: Each bandmate got 12 / 6 = <<12/6=2>>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?
Gemini-1.5 Pro:
Reasoning: Suzie has a total of 5 x 12 = <<5*12=60>>60 fish. ### 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?
Gemini-1.5 Pro:
Reasoning: Suzie initially had 4 aquariums * 12 fish per aquarium = <<4*12=48>>48 fish. ### 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?
Gemini-1.5 Pro:
Reasoning: We need to multiply the number of stones mentioned on the map by 9: 2 * 9 = <<2*9=18>>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?
Gemini-1.5 Pro:
Reasoning: We need to multiply the new number of stones on the map by 9: 3 * 9 = <<3*9=27>>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?
Gemini-1.5 Pro:
Reasoning: The butterfly lays a total of 6 x 4 = <<6*4=24>>24 eggs. ### 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?
Gemini-1.5 Pro:
Reasoning: The butterfly would lay 4 x 4 = <<4*4=16>>16 eggs in total. ### 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?
Gemini-1.5 Pro:
Reasoning: Anna can stuff 54/9 = <<54/9 = 6>> 6 pillows. ### 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?
Gemini-1.5 Pro:
Reasoning: Anna needs 6 pillows x 8 buttons/pillow = 48 buttons. ### 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?
Gemini-1.5 Pro:
Reasoning: Tom has 1 plant that can produce 9 strawberries, so his plant can produce 1 * 9 = 9 strawberries. ### Answer: 9 strawberries.
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?
Gemini-1.5 Pro:
Reasoning: Tom has 5 plants, and each plant can produce 9 strawberries. Therefore, all his plants can produce a total of 5 * 9 = 45 strawberries. ### Answer: 45 strawberries.
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?
Gemini-1.5 Pro:
Reasoning: Since each room has 8 fireplaces, we can find the number of rooms by dividing the total number of fireplaces by the number of fireplaces per room: 96 fireplaces / 8 fireplaces/room = <<96/8=12>>12 rooms. ### Answer: 12 rooms.
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?
Gemini-1.5 Pro:
Reasoning: We know there are 12 rooms in the mansion, and each room requires 7 workers to clean the fireplaces. Therefore, we need a total of 12 rooms * 7 workers/room = <<12*7=84>>84 workers. ### Answer: 84 workers.
Expected answer: 84
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: Since his truck can only carry 5 boxes at a time, in two trips he can transport 5*2 = <<5*2=10>> 10 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?
Gemini-1.5 Pro:
Reasoning: Since he made 2 trips and each trip consumes 6 liters of fuel, he used 2*6 = <<2*6=12>>12 liters of fuel. ### Answer: 12
Expected answer: 12
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: To find out how many toy cars are in each box, we divide the total number of toy cars by the number of boxes: 63 cars / 9 boxes = <<63/9=7>>7 cars per box. ### 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?
Gemini-1.5 Pro:
Reasoning: When we divide the total number of toy cars (63) by the new number of boxes (5), we find: 63 cars / 5 boxes = <<63/5=12.6>>12.6 cars per box. ### 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?
Gemini-1.5 Pro:
Reasoning: We need to divide the total number of hens (24) by the number of hens each coop can hold (12). This means we need 24 / 12 = 2 coops. ### 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?
Gemini-1.5 Pro:
Reasoning: With the larger coops, we divide the total number of hens (24) by the new capacity of each coop (8). Therefore, the farmer would need 24 / 8 = 3 coops. ### 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?
Gemini-1.5 Pro:
Reasoning: The problem states that 3 large postcards are placed in 1 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?
Gemini-1.5 Pro:
Reasoning: Macy distributed 3 x 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?
Gemini-1.5 Pro:
Reasoning: The problem states that Macy puts 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?
Gemini-1.5 Pro:
Reasoning: Tommy needs 12*2=<<12*2=24>>24 sleeping bags in total. ### Answer: 24
Expected answer: 24
Correct? Yes
Problem: Tommy remembered that he actually only had 6 sleeping bags in storage, not 12 as he had previously thought. He still needs twice as many sleeping bags as originally counted. How many sleeping bags does he need in total now?
Gemini-1.5 Pro:
Reasoning: Tommy needs a total of 6 * 2 = <<6*2 = 12>> 12 sleeping bags. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In a new game, Tina earns 3 points per level. If she successfully completes 5 levels, how many total points does she earn?
Gemini-1.5 Pro:
Reasoning: For successfully completing 5 levels, Tina earns 3*5 = <<3*5=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?
Gemini-1.5 Pro:
Reasoning: Since Tina has 15 points and the conversion rate is 1 coin per point, she will have 15*1 = <<15*1=15>>15 game coins. ### 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?
Gemini-1.5 Pro:
Reasoning: Tim needs to advance 9 - 1 = <<9-1=8>>8 levels. Thus, he needs a total of 8 x 4 = <<8*4=32>>32 points. ### Answer: 32
Expected answer: 36
Correct? No
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?
Gemini-1.5 Pro:
The problem states that the bubble blowing machine blows bubbles at a rate of 2 bubbles per second. ### 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?
Gemini-1.5 Pro:
The machine blows 2 bubbles every second, so in 9 seconds it will blow 2 * 9 = <<2*9=18>>18 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?
Gemini-1.5 Pro:
The problem states that Sophie's bubble blowing machine now blows bubbles at a rate of 7 bubbles per second. ### 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?
Gemini-1.5 Pro:
Reasoning: Farmer Mike gets 6*12 = <<6*12=72>>72 liters from his cows every day. ### Answer: 72 liters.
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?
Gemini-1.5 Pro:
Reasoning: Farmer Mike now gets 7*12 = <<7*12=84>>84 liters from his cows every day. ### Answer: 84 liters.
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?
Gemini-1.5 Pro:
Reasoning: John has 9 sunglasses and wants to divide them into equal parts containing 9 sunglasses each. This means he will have only 1 part because 9 / 9 = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: After assigning sunglasses to the group, John considers dividing his original collection differently. If he divides the initial 9 sunglasses by 1 instead of 9, how many sunglasses would he have in each group?
Gemini-1.5 Pro:
Reasoning: When you divide something by 1, it remains the same. So, if John divides his 9 sunglasses by 1, each group would still have 9 sunglasses. ### Answer: 9
Expected answer: 9
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: In 11 seconds, the rocket uses 9*11 = <<9*11=99>>99 units of fuel. ### Answer: 99 units of fuel.
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?
Gemini-1.5 Pro:
Reasoning: Since each swing can seat 3 children and there are 4 swings, a total of 3*4 = <<3*4=12>>12 children can be seated. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In reconsideration, the first park actually only has 1 swing that can seat 3 children, not 4 swings. Given this new information, how many children can the swings in the first park seat now?
Gemini-1.5 Pro:
Reasoning: Since there is only 1 swing and it can seat 3 children, a total of 1*3 = <<1*3=3>>3 children can be seated. ### Answer: 3
Expected answer: 3
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: Each fairy creates 3 more fairies, so there will be 3*3= <<3*3=9>> 9 new fairies. Adding that to the original number of fairies, there will be a total of 9+3 = <<9+3=12>> 12 fairies. ### Answer: 12
Expected answer: 9
Correct? No
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?
Gemini-1.5 Pro:
Reasoning: In one song, James mentioned "love" 4*3 = <<4*3=12>> 12 times. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Following the last problem, after James wrote his song, he decided to dedicate four performances to his beloved. In each performance, he sings the song once. How many times will the word "love" be mentioned if he sings the song in all four performances?
Gemini-1.5 Pro:
Reasoning: Since James mentions the word "love" 12 times in his song, and he sings it in 4 performances, he will mention the word 12*4 = <<12*4=48>> 48 times. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: Continuing from the previous scenarios, James decided to rewrite his song. Now, he included the word "love" 4 times in each verse, but this time he expanded his song to include 10 verses. How many times does he mention "love" in this new version of his song?
Gemini-1.5 Pro:
Reasoning: In the new version of his song, James mentions "love" 4*10 = <<4*10=40>> 40 times. ### Answer: 40
Expected answer: 40
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: To find out how many folders Mark needs, we can divide the total number of apps (48) by the number of apps per folder (8): 48 / 8 = 6 ### 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?
Gemini-1.5 Pro:
Reasoning: To find out the new number of folders, we divide the total number of apps (48) by the new number of apps per folder (6): 48 / 6 = 8 ### 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?
Gemini-1.5 Pro:
Reasoning: Johnny needs 12*3 = <<12*3=36>>36 candies to give to all his friends. ### 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?
Gemini-1.5 Pro:
Reasoning: Johnny gave out 36 candies, and doubling that amount means he needs 36*2 = <<36*2=72>>72 candies. ### 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?
Gemini-1.5 Pro:
Reasoning: Tommy can race all his cars in 10 / 5 = <<10/5=2>>2 turns. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Following the previous scenario, Tommy decided to organize multiple rounds of races. If he performs 8 rounds of races, with each round involving the same number of turns as before, how many turns in total will he need to complete all the rounds?
Gemini-1.5 Pro:
Reasoning: Across all rounds, Tommy needs a total of 8 * 2 = <<8*2=16>>16 turns. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Sally has 40 feathers from her chickens. If she arranged the feathers in groups of 10, how many groups would she have?
Gemini-1.5 Pro:
Reasoning: To find out how many groups Sally can make, we divide her total feathers by the number of feathers in each group: 40 feathers / 10 feathers/group = 4 groups. ### Answer: 4 groups
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?
Gemini-1.5 Pro:
Reasoning: Sally starts with 40 feathers / 10 feathers/group = 4 groups. Then, she doubles the number of groups: 4 groups * 2 = 8 groups. ### Answer: 8 groups
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?
Gemini-1.5 Pro:
Reasoning: To find out how many groups Sally has, we divide her total feathers by the number of feathers in each group: 40 feathers / 11 feathers/group = 3 with a remainder of 7 feathers. Since you can't have a fraction of a group, Sally has 3 full groups. ### Answer: 3 groups
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?
Gemini-1.5 Pro:
Reasoning: When Fairy Lily uses her magical dust, she grows to 1*11 = <<1*11=11>>11 inches tall. ### Answer: 11 inches
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?
Gemini-1.5 Pro:
Reasoning: After growing 11 times her original size, Fairy Lily is 11 inches tall. Multiplying her height by 7 makes her 11 * 7 = <<11*7=77>>77 inches tall. ### Answer: 77 inches
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?
Gemini-1.5 Pro:
Reasoning: If Fairy Lily grows to 6 times her original size, she would become 1*6 = <<1*6=6>>6 inches tall. ### Answer: 6 inches
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?
Gemini-1.5 Pro:
Reasoning: The problem states that one female bee can produce 5 new bees every day. ### 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?
Gemini-1.5 Pro:
Reasoning: The bee produces 5 bees per day, so over 11 days she would produce 5 * 11 = 55 bees. ### 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?
Gemini-1.5 Pro:
Reasoning: If the bee produces 5 bees every 3 days, then she produces 5/3 = <<5/3=1.67>> 1.67 bees per day. Since we can't have fractions of bees, we round to the nearest whole number. ### Answer: 2
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?
Gemini-1.5 Pro:
Reasoning: To evenly distribute his music sheets, we divide the total number of sheets by the number of books: 35 sheets / 7 books = <<35/7=5>>5 sheets per book. ### 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?
Gemini-1.5 Pro:
Reasoning: Thomas bought 8 books * 5 sheets/book = <<8*5=40>>40 more piano sheets. ### Answer: 40
Expected answer: 40
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: We perform the same division as before, but with the new number of sheets: 9 sheets / 7 books = <<9/7=1.2857142857142858>>1.2857... sheets per book. However, we can't have a fraction of a sheet. In this case, each book would get 1 full sheet, with some sheets leftover. ### Answer: 1
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?
Gemini-1.5 Pro:
Reasoning: Mom baked 2*8 = <<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?
Gemini-1.5 Pro:
Reasoning: The total number of moon rocks collected each year is 3 * 3 = <<3*3=9>>9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Following the previous scenario, if each moon rock collected in a year is stored in a separate storage bin, how many storage bins would be needed to store all the rocks collected in one year?
Gemini-1.5 Pro:
Reasoning: Since 9 moon rocks are collected each year, 9 storage bins would be needed. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Continuing from the previous scenario, suppose that instead of 3, the Earth had 5 natural satellites. In this case, 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?
Gemini-1.5 Pro:
Reasoning: The total number of moon rocks collected each year would be 3 * 5 = <<3*5=15>>15. ### Answer: 15
Expected answer: 15
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: Doctor Thomas spends 5*10 = <<5*10=50>>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?
Gemini-1.5 Pro:
Reasoning: Doctor Thomas spent 50*2 = <<50*2=100>>100 minutes on paperwork. ### Answer: 100
Expected answer: 100
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: Doctor Thomas will spend 6 * 10 = <<6 * 10 = 60>>60 minutes with his patients. ### 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?
Gemini-1.5 Pro:
Reasoning: Each pant costs $55 / 11 = $5. If Jerry buys 12 pants, he would spend $5 x 12 = $60. ### 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?
Gemini-1.5 Pro:
Reasoning: Molly multiplies her 8 bottles of apple juice by 8: 8 * 8 = <<8*8=64>>64 bottles of apple juice. ### 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?
Gemini-1.5 Pro:
Reasoning: Molly multiplies her collection of 6 bottles by 6: 6 * 6 = <<6*6=36>>36 bottles of apple juice. ### Answer: 36
Expected answer: 36
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: If there are 32 craters in total and the moon section is divided into 8 equal parts, we need to divide the total number of craters by the number of parts: 32 / 8 = 4 ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Let's think back to the moon section with craters we discussed earlier. Suppose instead that the moon's section was divided into 5 equal parts with a total of 32 craters. How many craters would there be in each part then?
Gemini-1.5 Pro:
Reasoning: If we divide the moon section into 5 equal parts, there wouldn't be an equal number of craters in each part, because 32 craters cannot be divided equally into 5 parts. ### Answer: It's not possible to have an equal number of craters in each part.
Expected answer: 32/5
Correct? No
Problem: There are 4 monkeys in the jungle. Each monkey has 7 bananas. How many bananas do the monkeys have in total?
Gemini-1.5 Pro:
Reasoning: Since each monkey has 7 bananas and there are 4 monkeys, they have a total of 7*4 = <<7*4=28>>28 bananas. ### 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?
Gemini-1.5 Pro:
Reasoning: With 9 monkeys and each monkey having 7 bananas, they have a total of 9*7 = <<9*7=63>>63 bananas. ### 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?
Gemini-1.5 Pro:
Reasoning: Fiona will have 32/4 = <<32/4=8>>8 pieces of cheese. ### 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?
Gemini-1.5 Pro:
Reasoning: Fiona can get 32/9 = <<32/9=3.55555555556>>3.55555555556 pieces of cheese. Since we can't have a fraction of a piece, Fiona can get 3 whole pieces of cheese. ### Answer: 3
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?
Gemini-1.5 Pro:
Reasoning: Since Bob has 6 cups and needs 1 glass of milk per cup, he needs 6 * 1 = 6 glasses 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?
Gemini-1.5 Pro:
Reasoning: Bob needs 1 glass of milk per cup, and he only has 2 cups, so he needs 2 * 1 = 2 glasses 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?
Gemini-1.5 Pro:
Reasoning: This problem is a bit of a trick! While we can determine there are 36/9 = <<36/9=4>> 4 rabbits per cage, the number of caretakers assigned *per cage* is already given in the problem. ### Answer: 2
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?
Gemini-1.5 Pro:
Reasoning: Farmer Brown can make 42/7 = <<42/7=6>>6 whole wheels of cheese. ### 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?
Gemini-1.5 Pro:
Reasoning: Farmer Brown currently has 6 cheese wheels, and doubling that amount would bring his total to 6*2 = <<6*2=12>>12 cheese wheels. ### 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?
Gemini-1.5 Pro:
Reasoning: The length of one side of the kite is 4 feet. The total length of two sides of the kite is 4*2 = <<4*2=8>>8 feet. ### Answer: 8 feet.
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?
Gemini-1.5 Pro:
Reasoning: He needs 8 feet of string for two sides of one kite. So, he needs 8*2 = <<8*2=16>>16 feet of string for the two sides of both kites. ### Answer: 16 feet.
Expected answer: 16
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: The length of one side of the smaller kite is 1 foot. The total length of two sides of the smaller kite is 1*2 = <<1*2=2>>2 feet. ### Answer: 2 feet.
Expected answer: 2
Correct? Yes
Problem: Anna has 4 bags of candy, each containing 3 candies. How many candies does she have in total?
Gemini-1.5 Pro:
Reasoning: Anna has a total of 4 bags * 3 candies/bag = <<4*3=12>>12 candies. ### 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?
Gemini-1.5 Pro:
Reasoning: Anna initially had 1 bag * 3 candies/bag = <<1*3=3>>3 candies. ### 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?
Gemini-1.5 Pro:
Reasoning: Since each patch attracts 3 butterflies, and there are 6 patches, there are 6 * 3 = 18 butterflies in total. ### 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?
Gemini-1.5 Pro:
Reasoning: With 8 patches and 3 butterflies per patch, there would be a total of 8 * 3 = 24 butterflies. ### 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?
Gemini-1.5 Pro:
Reasoning: Each friend will receive 72 / 8 = <<72 / 8 = 9>> 9 cookies initially. After Sophia's gift, each friend will have a total of 9 * 5 = <<9 * 5 = 45>> 45 cookies. ### 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?
Gemini-1.5 Pro:
Reasoning: With 10 friends, each friend initially receives 72 / 10 = <<72 / 10 = 7.2>> 7.2 cookies. Since Sophia can't give fractions of cookies, we'll address this in the next step. After Sophia's gift, each friend will have a total of 7.2 * 5 = <<7.2 * 5 = 36>> 36 cookies. ### 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?
Gemini-1.5 Pro:
Reasoning: Each camera will take 1*5 = <<1*5=5>>5 pictures in 5 seconds. In total John will have 3*5 = <<3*5=15>>15 pictures from all 3 cameras. ### 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?
Gemini-1.5 Pro:
Reasoning: Tommy 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?
Gemini-1.5 Pro:
Reasoning: Tommy has 10 * 9 = <<10*9=90>>90 toys in total. ### Answer: 90
Expected answer: 90
Correct? Yes
Problem: Joanna has a clothing store and packs 10 shirts into 5 boxes. How many shirts does each box contain?
Gemini-1.5 Pro:
Reasoning: We divide the total number of shirts (10) by the number of boxes (5) to find out how many shirts are in each box: 10/5 = 2 shirts per box. ### 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?
Gemini-1.5 Pro:
Reasoning: We need to divide the total number of shirts (7) by the number of boxes (5): 7/5 = 1.4 shirts per box. Since we cannot have fractions of a shirt, this means Joanna can put 1 shirt in each box and will have 2 leftover. ### Answer: 1
Expected answer: 7/5
Correct? No
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?
Gemini-1.5 Pro:
Reasoning: Harry gave Jack 9*7 = <<9*7=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?
Gemini-1.5 Pro:
Reasoning: Harry would give Jack 6*7 = <<6*7=42>>42 scooters. ### 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?
Gemini-1.5 Pro:
Reasoning: One clock has 7*4 = <<7*4=28>> 28 quarters. Three clocks have 28*3 = <<28*3=84>> 84 quarters. ### Answer: 84
Expected answer: 84
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: Liam puts 35 / 5 = <<35/5=7>>7 scoops of ice cream into each cone. ### 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?
Gemini-1.5 Pro:
Reasoning: We can't put a whole number of scoops into each cone in this case, because 8 is not perfectly divisible by 5. We could either cut the scoops into smaller pieces, or we could figure out how many scoops would go into each cone if we used as much of the 8 scoops as we could. Let's try the second way. 8 scoops divided by 5 cones is 8/5 = 1 remainder 3. This means each cone gets 1 full scoop. ### Answer: 1
Expected answer: 8/5
Correct? No
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?
Gemini-1.5 Pro:
Reasoning: Billy 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?
Gemini-1.5 Pro:
Reasoning: Billy got 8 * 8 = <<8*8=64>>64 trains at the festival. ### Answer: 64
Expected answer: 64
Correct? Yes
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)?
Gemini-1.5 Pro:
Reasoning: Since each row has the same number of books as the total number of rows, we need to find a number that, when multiplied by itself, equals the total number of books. In this case, 8 rows * 8 books/row = 64 books. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Following the previous problem about the librarian, let's consider a different scenario. This time, she decides to arrange a smaller square of books with only 4 books in a row. Each row still has the same number of books. So, how many books does she need for this smaller square arrangement?
Gemini-1.5 Pro:
Reasoning: With 4 books in a row and 4 rows to make a square, the librarian needs 4 rows * 4 books/row = 16 books. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: Lisa had 10 yards of fabric. If it takes 1 yard of fabric to make a skirt, how many skirts can Lisa make?
Gemini-1.5 Pro:
Reasoning: Since Lisa has 10 yards of fabric and each skirt requires 1 yard, she can make 10 / 1 = 10 skirts. ### Answer: 10 skirts.
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?
Gemini-1.5 Pro:
Reasoning: A quarter of 12 phone calls is 12/4 = <<12/4=3>>3 calls. ### 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?
Gemini-1.5 Pro:
Reasoning: Sarah received 3 x 11 = <<3*11=33>>33 more calls. ### Answer: 33
Expected answer: 33
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: Melanie needs 3*4 = <<3*4=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?
Gemini-1.5 Pro:
Reasoning: Melanie needs 3*6 = <<3*6=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?
Gemini-1.5 Pro:
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?
Gemini-1.5 Pro:
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?
Gemini-1.5 Pro:
Reasoning: Tom has 1 * 5 = <<1*5=5>>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?
Gemini-1.5 Pro:
Reasoning: Tom earned 4 * 5 = <<4*5=20>> additional points. ### 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?
Gemini-1.5 Pro:
Reasoning: Now, Tom has 1 * 7 = <<1*7=7>>7 points. ### 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?
Gemini-1.5 Pro:
Reasoning: The four cannons fire a total of 4*12 = <<4*12=48>>48 cannonballs. ### 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?
Gemini-1.5 Pro:
Reasoning: The four cannons fire a total of 4*3 = <<4*3=12>>12 cannonballs. ### Answer: 12
Expected answer: 12
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: The square of 10 is 10*10 = <<10*10=100>>100. ### Answer: 100
Expected answer: 100
Correct? Yes
Problem: Now consider if Emma had started with a pack of only 4 colored pencils instead. If she still wants to have as many colored pencils as the square of the number she currently has, how many colored pencils will she have then?
Gemini-1.5 Pro:
Reasoning: The square of 4 is 4*4 = <<4*4=16>>16 ### Answer: 16
Expected answer: 16
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: Emily needs 70/7 = <<70/7=10>>10 bags for her cookies. She needs a total of 10*6 = <<10*6=60>>60 cookies for her camping trip. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: Let's consider a different scenario. Emily originally had 9 cookies instead of 70. She still wants to pack them in bags, with each bag containing 7 cookies. She still wants to multiply the number of bags by 6 for a camping trip. How many cookies does she need now for her intended number of sleeping bag sets?
Gemini-1.5 Pro:
Reasoning: Emily can only fill 9/7 = <<9/7=1.28>>1.28 bags, which we'll round down to 1 bag since we can't have a fraction of a bag. She needs a total of 1*6 = <<1*6=6>>6 cookies for her camping trip. ### Answer: 6
Expected answer: 54/7
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?
Gemini-1.5 Pro:
Reasoning: In total Captain Redbeard fires 6*4 = <<6*4=24>>24 cannonballs from one side of his ship. ### 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?
Gemini-1.5 Pro:
Reasoning: With the new cannonballs, Captain Redbeard fires 6*11 = <<6*11=66>>66 cannonballs from one side of his ship. ### 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?
Gemini-1.5 Pro:
Reasoning: The unicorn travels 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?
Gemini-1.5 Pro:
Reasoning: The unicorn's normal speed is 6 miles per hour, and tripled, that's 6*3 = <<6*3=18>>18 miles per hour. ### 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?
Gemini-1.5 Pro:
Reasoning: 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?
Gemini-1.5 Pro:
Reasoning: Sue would have harvested 3 * 3 = <<3*3=9>>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?
Gemini-1.5 Pro:
Reasoning: The astronaut covers 20/5 = <<20/5=4>>4 kilometers in 1/5 of a day. ### Answer: 4 kilometers
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?
Gemini-1.5 Pro:
Reasoning: A full day of walking covers 20 kilometers, so 12/5 of a day would cover (12/5) * 20 = <<(12/5)*20 = 48>>48 kilometers. ### Answer: 48 kilometers
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?
Gemini-1.5 Pro:
Reasoning: The astronaut covers 20 / 6 = <<20/6=3.3333333333333335>>3.33 kilometers in 1/6 of a day. ### Answer: 3.33 kilometers
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?
Gemini-1.5 Pro:
Reasoning: To distribute 10 lemons evenly into 5 boxes, we divide the total number of lemons by the number of boxes: 10 lemons / 5 boxes = 2 lemons per box. ### 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?
Gemini-1.5 Pro:
Reasoning: He started with 2 lemons per box and adds 2 more lemons to each box, so now there are 2 + 2 = 4 lemons per box. ### 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?
Gemini-1.5 Pro:
Reasoning: You can't evenly divide 10 lemons into 6 boxes. Each box would get 1 lemon, with 4 leftover. ### Answer: 1 (with 4 leftover)
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?
Gemini-1.5 Pro:
Reasoning: The 11 new helicopter pads can hold 11*4 = <<11*4=44>>44 helicopters. Including the original helicopter pad, they can hold 44+4 = <<44+4=48>>48 helicopters in total. ### Answer: 48
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?
Gemini-1.5 Pro:
Reasoning: Since 1 bed takes the space of 1 carpet tile, John's room has space for 12/1 = <<12/1=12>>12 beds. ### 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?
Gemini-1.5 Pro:
Reasoning: John can fit 3 beds per carpet tile, and he has 12 carpet tiles, so he can fit 3*12 = <<3*12=36>>36 beds. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Sophie has 8 flowerpots. In each flowerpot, she plans to plant 3 flowers. How many flowers will Sophie plant in total?
Gemini-1.5 Pro:
Reasoning: Sophie will plant 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?
Gemini-1.5 Pro:
Reasoning: Sophie decided to double the 24 flowers she already planted, meaning she has 24*2 = <<24*2=48>>48 flowers now. ### 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?
Gemini-1.5 Pro:
Reasoning: With 12 flowerpots, Sophie would plant 12 * 3 = <<12*3=36>>36 flowers. ### 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?
Gemini-1.5 Pro:
Reasoning: Shawn has a total of 12*6 = <<12*6=72>>72 presents. ### 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?
Gemini-1.5 Pro:
Reasoning: With 2 boxes, Shawn has a total of 2*6 = <<2*6=12>>12 presents. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In the factory, each RoboFalcon assembler can build 8 robots per hour. How many robots can it build in 12 hours?
Gemini-1.5 Pro:
Reasoning: In 12 hours, one RoboFalcon assembler can build 8*12 = <<8*12=96>>96 robots. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Suppose the RoboFalcon assembler had a minor update and the efficiency slightly reduced. Now, it can only build 6 robots per hour. How many robots can it build in 12 hours now?
Gemini-1.5 Pro:
Reasoning: With the update, the RoboFalcon assembler can build 6*12 = <<6*12=72>>72 robots in 12 hours. ### Answer: 72
Expected answer: 72
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: Tom has a total of 2*8 = <<2*8=16>>16 poles. There are a total of 16*6 = <<16*6=96>>96 strings. ### Answer: 96
Expected answer: 96
Correct? Yes
Problem: Let's change the scenario a bit. What if Tom had set up only 2 tents but each tent had 3 poles instead of 8. If each pole still has 6 strings attached, how many strings are there in total now?
Gemini-1.5 Pro:
Reasoning: Tom has a total of 2*3 = <<2*3=6>>6 poles. There are a total of 6*6 = <<6*6=36>>36 strings. ### Answer: 36
Expected answer: 36
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: To find out how many filters each camera gets, we need to divide the total number of filters (10) by the number of cameras (5): 10 / 5 = 2. ### 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?
Gemini-1.5 Pro:
The prompt contains contradictory information and misdirects the problem. It states Jane received 10 filters to distribute among her 5 cameras but then claims she initially gave 6 filters to each camera. Focusing on the initial condition of having 10 filters to distribute: Reasoning: To find out how many filters each camera gets initially, we need to divide the total number of filters (10) by the number of cameras (5): 10 / 5 = 2. ### Answer: 2
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?
Gemini-1.5 Pro:
Reasoning: The elephant drinks 1 gallon of water in 1 hour. Since the elephant spent 1 hour by the waterhole, it drank 1 gallon of water. ### Answer: 1 gallon
Expected answer: 1
Correct? Yes
Problem: Given that each gallon of water weighs approximately 1 pound, if the elephant drank 1 gallon of water, how many pounds did the elephant gain from drinking?
Gemini-1.5 Pro:
Reasoning: Since each gallon of water weighs 1 pound, and the elephant drank 1 gallon, the elephant gained 1 pound. ### Answer: 1 pound
Expected answer: 1
Correct? Yes
Problem: If instead of spending 1 hour by the waterhole, the elephant spent 5 hours there, how many gallons of water would the elephant have drank?
Gemini-1.5 Pro:
Reasoning: The elephant drinks 1 gallon of water per hour. Since the elephant spent 5 hours at the waterhole, it drank 1*5 = 5 gallons of water. ### Answer: 5 gallons
Expected answer: 5
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?
Gemini-1.5 Pro:
Reasoning: Since 1 gallon fills 2 containers, then to fill twice the number of containers (from 2 to 4), we need twice the amount of milk: 1 gallon * 2 = 2 gallons ### Answer: 2 gallons
Expected answer: 2
Correct? Yes
Problem: Now, instead of having 4 large containers to fill with milk, imagine if we had 11 containers instead. Given the same rate of 2 containers per gallon, how many gallons of milk will we need to fill all 11 containers?
Gemini-1.5 Pro:
Reasoning: Each gallon fills 2 containers, so we need to see how many times 2 fits into 11. 11 containers / 2 containers per gallon = 5.5 gallons. ### Answer: 5.5 gallons
Expected answer: 11/2
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?
Gemini-1.5 Pro:
Reasoning: Eddy gets 1 emerald for each of his 3 gold coins, so he gets 3*1 = <<3*1=3>>3 emeralds. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Eddy was very happy with his emerald collection. Seeing this, the captain decided to award him with 4 rubies for each emerald he had. How many rubies did Eddy get from the captain?
Gemini-1.5 Pro:
Reasoning: The captain gave Eddy 4 rubies for each of his 3 emeralds, so Eddy got 4*3 = <<4*3=12>>12 rubies. ### Answer: 12
Expected answer: 12
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: Since every 10 feet represents one level, a 20-foot jump means the dolphin reaches 20/10 = <<20/10=2>>2 levels high. ### Answer: 2 levels
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?
Gemini-1.5 Pro:
Reasoning: The dolphin's normal jump level is 2 levels. With the wave, it can jump 11 * 2 = <<11*2=22>>22 levels higher. Adding the initial 2 levels, the dolphin would reach a total of 22 + 2 = <<22+2 = 24>>24 levels. ### Answer: 24 levels
Expected answer: 22
Correct? No
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?
Gemini-1.5 Pro:
Reasoning: The dolphin's jump height remains the same at 20 feet. With each level now being 11 feet, the dolphin reaches 20/11 = <<20/11=1.82>>1.82 levels high. Since it cannot reach a full level higher, we round down. ### Answer: 1 level
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?
Gemini-1.5 Pro:
Reasoning: We need to divide the total number of balls (28) by the number of friends (7). Each friend will get 28/7 = <<28/7=4>>4 balls. ### 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?
Gemini-1.5 Pro:
Reasoning: We need to divide the total number of balls (28) by the number of friends (10). Each friend will get 28/10 = <<28/10=2.8>>2.8 balls. ### 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?
Gemini-1.5 Pro:
Reasoning: Since there are 8 machines and each machine makes 8 robots, the factory can produce 8 * 8 = <<8*8=64>>64 robots per day. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: After assessing the weekly production, the robotic factory's management decided to replace one of the machines with a maintenance station, bringing the total number of machines down to 7. Now, if each of these 7 machines can manufacture the same number of robots per day as there are machines, how many robots would the factory produce in a day?
Gemini-1.5 Pro:
Reasoning: With 7 machines, each producing 7 robots per day, the factory can now produce 7 * 7 = <<7*7=49>>49 robots per day. ### Answer: 49
Expected answer: 49
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: To find out how many segments Maya got, we need to divide the total length of the line segment by the length of each smaller segment: 15 cm / 5 cm/segment = 3 segments. ### Answer: 3 segments
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?
Gemini-1.5 Pro:
Reasoning: When we divide 15 cm by 7 cm, we get 2 with a remainder. This means Maya could get 2 full 7 cm segments. ### Answer: 2 segments
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?
Gemini-1.5 Pro:
Reasoning: Multiplying the number of cheese types Tommy has (5) by 5 does not create new cheese types. ### Answer: 5
Expected answer: 25
Correct? No
Problem: The width of a river increases by 10 feet every year. After 9 years, how much has the width of the river increased?
Gemini-1.5 Pro:
Reasoning: The width of the river increases by 10 feet/year * 9 years = <<10*9=90>>90 feet in 9 years. ### Answer: 90 feet.
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?
Gemini-1.5 Pro:
Reasoning: There are 9 years / 3 years/increase = <<9/3=3>>3 increases in 9 years. So the river's width increases by 10 feet/increase * 3 increases = <<10*3=30>>30 feet. ### Answer: 30 feet.
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?
Gemini-1.5 Pro:
Reasoning: To find out how many groups Jessica has, we need to divide her total number of stuffed animals (20) by the number of animals in each group (4). This can be represented by the equation: 20 / 4 = 5 ### Answer: 5 groups
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?
Gemini-1.5 Pro:
Reasoning: If Jessica has 9 stuffed animals and wants to group them in sets of 4, she can make 2 complete groups. This leaves 1 stuffed animal left over. ### Answer: 2 groups
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?
Gemini-1.5 Pro:
Reasoning: The total length of all drums is 5 drums * 8 inches/drum = 40 inches. ### Answer: 40 inches
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?
Gemini-1.5 Pro:
Reasoning: We already know one row of 5 drums is 40 inches long. With two rows, the total length would be 40 inches/row * 2 rows = 80 inches. ### Answer: 80 inches
Expected answer: 80
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: The total length of all drums is 5 drums * 11 inches/drum = 55 inches. ### Answer: 55 inches
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?
Gemini-1.5 Pro:
Reasoning: While Jack wants to trade apples for oranges, multiplying the number of apples (5) by 6 doesn't give him the number of oranges he can trade them for. The number of oranges he can get depends on the trading rate, not just the number of apples he has. ### Answer: We cannot determine how many oranges Jack can get.
Expected answer: 30
Correct? No
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?
Gemini-1.5 Pro:
Reasoning: There are 72 / 6 = <<72/6=12>>12 sets of different colored marker pens. ### Answer: 12
Expected answer: 12
Correct? Yes
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?
Gemini-1.5 Pro:
Reasoning: Each pile will contain 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?
Gemini-1.5 Pro:
Reasoning: The dragon's special pile contains 10 x 4 = <<10*4=40>>40 pieces of gold. ### 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?
Gemini-1.5 Pro:
Reasoning: We can't divide 80 pieces of gold into 11 piles evenly. 80 divided by 11 is 7 with a remainder of 3. This means each pile would have 7 pieces of gold and there would be 3 pieces leftover. ### Answer: 7 (with 3 leftover)
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?
Gemini-1.5 Pro:
Reasoning: First find the area of each section: 44 square meters / 11 sections = 4 square meters per section. The area of each section is irrelevant to the number of campers that can fit in each tent. Since each tent holds 12 campers, John can accommodate 11 tents * 12 campers per tent = 132 campers. ### Answer: 132 campers.
Expected answer: 48
Correct? No
Problem: A tiger can travel 6 miles in an hour. How far can it travel in 3 hours?
Gemini-1.5 Pro:
Reasoning: The tiger can travel 6*3 = <<6*3=18>>18 miles in 3 hours. ### Answer: 18 miles
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?
Gemini-1.5 Pro:
Reasoning: The tiger can travel 6 * 7 = <<6*7=42>>42 miles in an hour. ### Answer: 42 miles
Expected answer: 42
Correct? Yes
Problem: A number sets of 6 are multiplied by 7. What is the resulting product?
Gemini-1.5 Pro:
Reasoning: We need to multiply 6 by 7. 6 * 7 = <<6*7=42>>42 ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: Following the previous problem. Consider that instead of multiplying 6 sets by 7, we multiply 4 sets by 7. What is the resulting product now?
Gemini-1.5 Pro:
Reasoning: Now we need to multiply 4 by 7. 4 * 7 = <<4*7=28>>28 ### Answer: 28
Expected answer: 28
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?
Gemini-1.5 Pro:
Reasoning: The doctor works 6*2 = <<6*2=12>>12 hours each day. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Following his extra shifts, the doctor wants to reduce his workload. He decides to work 11 hours a day instead. How many hours does he work in a two-day period now?
Gemini-1.5 Pro:
Reasoning: In a two-day period, the doctor works 11*2 = <<11*2=22>>22 hours. ### Answer: 22
Expected answer: 22
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?
Gemini-1.5 Pro:
Reasoning: The farmer planted 6*11 = <<6*11=66>>66 seeds in total. ### 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?
Gemini-1.5 Pro:
Reasoning: Since the baby is 10 months old, Mommy has bought 5*10 = <<5*10=50>>50 toys in total. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: After reflecting on her toy buying habits, Mommy realizes that she bought too many toys in the beginning. Instead of buying 5 new toys every month for 10 months, she now remembers that there was a month when she didn't buy any toys. Therefore, she only bought 5 toys per month for 9 months. How many toys did she actually buy during that period?
Gemini-1.5 Pro:
Reasoning: If Mommy bought 5 toys per month for 9 months, she bought a total of 5*9 = <<5*9=45>>45 toys. ### Answer: 45
Expected answer: 45
Correct? Yes