Gemma 2B on 6.NS.B.2
Common Core Standard 6.NS.B.2
This standard covers the following:
Fluently divide multi-digit numbers using the standard algorithm.
Problem: There are 73841 cubic centimeters of air needed to inflate a large beach ball. If we fill the ball up at a rate of 41 cubic centimeters per second, how many seconds will it take to fully inflate the beach ball?
Gemma 2B:
Reasoning: The volume of the ball is given by the formula V = <<(4/3)ฯrยณ>>V = <<(4/3)ฯ(10 cm)ยณ>>V = 1000ฯ cmยณ. The time taken to fully inflate the ball is given by the formula t = V/r = 1000ฯ cmยณ/(10 cm/s) = <<1000ฯ/10=100ฯ>> seconds. ### Answer: 100ฯ seconds
Expected answer: 1801
Correct? No
Problem: A juice company produced 73528 liters of juice. If they filled the same amount of juice into 707 containers, how many liters of juice are there in each container?
Gemma 2B:
Reasoning: Each container holds 73528 รท 707 = <<73528 รท 707 โ100>>100 liters of juice. ### Answer: 100
Expected answer: 104
Correct? No
Problem: A pants factory produced a total of 87780 pants and equally distributed them to 110 wholesale clothing stores. How many pants did each store receive?
Gemma 2B:
Reasoning: Each store received 87780 รท 110 = <<87780 รท 110=800>>800 pants. ### Answer: 800
Expected answer: 798
Correct? No
Problem: Farmer Bob has grown 71820 carrots this season and wants to sell them in bundles. If he makes each bundle consist of 684 carrots, how many bundles of carrots will he have?
Gemma 2B:
Reasoning: To find the number of bundles, we divide the total number of carrots by the number of carrots in each bundle. 71820 รท 684 = <<71820 รท 684=100>>100 bundles of carrots. ### Answer: 100
Expected answer: 105
Correct? No
Problem: A popular slide has been used 85860 times over 54 consecutive days. If the usage rate is constant, how many times per day has the slide been used?
Gemma 2B:
Reasoning: The usage rate is 85860/54 = <<85860/54=1627.78>>1628 times per day. ### Answer: 1628
Expected answer: 1590
Correct? No
Problem: A ski resort receives a total of 31950 inches of snowfall evenly spread throughout 225 days of winter. How many inches of snow does the ski resort receive each day?
Gemma 2B:
Reasoning: Each day, the ski resort receives 31950 รท 225 = <<31950 รท 225=144>>144 inches of snow. ### Answer: 144
Expected answer: 142
Correct? No
Problem: A jewelry manufacturer has 63802 grams of gold, and they want to make rings each of which will weigh exactly the same. If they plan to make 38 rings, how many grams of gold will be in each ring?
Gemma 2B:
Reasoning: Each ring will weigh 63802 รท 38 = <<63802 รท 38=170>>170 grams of gold. ### Answer: 170
Expected answer: 1679
Correct? No
Problem: A goldsmith has a total of 60544 milligrams of gold. If each ring the goldsmith makes requires exactly 5504 milligrams of gold, how many full rings can the goldsmith make?
Gemma 2B:
Reasoning: The goldsmith can make 60544 รท 5504 = <<60544 รท 5504=11>>11 full rings. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: In a zoo, there are 10489 animals, and they are evenly distributed in 617 cages. What is the average number of animals in each cage?
Gemma 2B:
Reasoning: The number of animals in each cage is 10489 รท 617 โ <<10489 รท 617 โ17>>17. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: Now consider that instead of 617 cages, the 10,489 animals are evenly distributed in 5130 cages. How does the average number of animals per cage change now?
Gemma 2B:
### Answer: 19.22
Expected answer: 10489/5130
Correct? No
Problem: A farmer has 21652 grams of carrots, and he wants to evenly distribute them into 5413 bags. How many grams of carrots will be in each bag?
Gemma 2B:
Reasoning: Each bag will have 21652 รท 5413 โ <<21652 รท 5413 โ 4 grams>>4 grams of carrots. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: The farmer had initially thought he had 21652 grams of carrots. However, upon recounting, he realizes he actually has 5652 grams of carrots. If he still wants to distribute the carrots evenly into 5413 bags, how many grams of carrots will now be in each bag?
Gemma 2B:
### Answer: 4
Expected answer: 5652/5413
Correct? No
Problem: An astronaut's spaceship travels a total distance of 38745 miles on its space mission. The journey is divided into 5 equal stages. How many miles does the spaceship travel in each stage?
Gemma 2B:
Reasoning: Each stage covers 7429 miles, as 38745 รท 5 = <<7429>>7429. ### Answer: 7429
Expected answer: 7749
Correct? No
Problem: A factory needs to distribute 84,564 liters of water evenly into 261 bottles. If each bottle gets the same amount of water, how many liters does each bottle contain?
Gemma 2B:
Reasoning: Each bottle gets 84,564 รท 261 = <<84,564 รท 261 โ 320>>320 liters of water. ### Answer: 320
Expected answer: 324
Correct? No
Problem: A massive book series contains a total of 13467 pages, divided equally among 201 volumes. How many pages would you find in each volume?
Gemma 2B:
Reasoning: Each volume has 13467/201 = <<13467/201=68>>68 pages. ### Answer: 68
Expected answer: 67
Correct? No
Problem: A fireplace uses 56888 BTU (British Thermal Units) of energy in 2188 hours when it is working continuously. How many BTU of energy does the fireplace use per hour?
Gemma 2B:
Reasoning: 56888 BTU/2188 hours = <<56888 BTU/2188 hours=26.67 BTU/hour>>26.67 BTU/hour. ### Answer: 26.67
Expected answer: 26
Correct? No
Problem: Across the span of 82 days in winter, a town recorded a total snowfall of 36900 inches. If the snow fell at a constant rate every day, how many inches of snow did the town receive each day?
Gemma 2B:
Reasoning: We need to find the average snowfall per day by dividing the total snowfall by the number of days. 36900 รท 82 = <<36900 รท 82=458.31>>458.31 inches of snow fell each day. ### Answer: 458.31
Expected answer: 450
Correct? No
Problem: A wildlife reserve spans an area of 71292 square kilometers and is home to 2742 giraffes. If each giraffe has an equal amount of space, how many square kilometers does each giraffe get?
Gemma 2B:
Reasoning: Each giraffe gets an area of 71292/2742 = <<71292/2742=26.5>>26.5 square kilometers. ### Answer: 26.5
Expected answer: 26
Correct? No
Problem: A lion conservation project has successfully protected 96187 lions over a span of 13 years. If the project saved the same number of lions each year, how many lions were saved per year on average?
Gemma 2B:
Reasoning: The project saved 96187/13 = <<96187/13=7500>>7500 lions per year on average. ### Answer: 7500
Expected answer: 7399
Correct? No
Problem: A mermaid has found a total of 32812 pearls on the ocean floor and wants to divide them evenly among her 631 mermaid friends. How many pearls will each friend receive?
Gemma 2B:
Reasoning: Each friend will receive 32812 รท 631 โ <<32812 รท 631 โ 52>>52 pearls. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: The mermaid realized that she had miscalculated and there are actually only 4198 mermaid friends, not 631. If she divides the 32812 pearls evenly among her 4198 friends now, how many pearls will each friend receive?
Gemma 2B:
### Answer: 76
Expected answer: 16406/2099
Correct? No
Problem: A farm produces a total of 36,784 apples during the 19 weeks of its growing season. If the amount of harvested apples is the same each week, how many apples does the farm produce weekly?
Gemma 2B:
Reasoning: The farm produces 36,784 apples in 19 weeks, so the farm produces 36,784/19 = <<1920>>1920 apples weekly. ### Answer: 1920
Expected answer: 1936
Correct? No
Problem: A train travels 63245 miles over a period of 695 days. If the train travels the same distance each day, how many miles does it cover in a day?
Gemma 2B:
Reasoning: The train covers 63245 รท 695 = <<63245 รท 695 โ 90.28>>90.28 miles each day. ### Answer: 90.28
Expected answer: 91
Correct? No
Problem: A doll factory produced a total of 41772 dolls over a period of 708 days. If the factory kept up with the same daily production rate, how many dolls were being made in a day?
Gemma 2B:
Reasoning: The number of dolls produced in a day can be calculated by dividing the total number of dolls produced by the number of days produced. 41772 รท 708 = <<41772 รท 708=60>>60 dolls were being made in a day.
Expected answer: 59
Correct? No
Problem: A drummer has a goal to hit his drum 61019 times. If he plans to do this over the course of 7 days, how many times will he need to hit the drum each day to meet his goal?
Gemma 2B:
Reasoning: The drummer needs to hit the drum 61019/7 = <<61019/7=8531>>8531 times each day to meet his goal. ### Answer: 8531
Expected answer: 8717
Correct? No
Problem: In a particular marine park, a dolphin can swim an average of 98816 meters in 128 hours. How many meters can the dolphin swim in an hour?
Gemma 2B:
Reasoning: The dolphin can swim 98816/128 = <<98816/128=796>>796 meters in an hour. ### Answer: 796
Expected answer: 772
Correct? No
Problem: A song was streamed 71532 times in the first 1987 days after its release. How many streams did it average per day?
Gemma 2B:
Reasoning: The number of streams divided by the number of days gives the average number of streams per day. 71532 รท 1987 = <<71532 รท 1987 โ 35.96>>35.96 streams. ### Answer: 35.96
Expected answer: 36
Correct? No
Problem: A compass salesman has 33046 compasses that he wants to distribute evenly among 1066 stores. How many compasses will each store receive if they are divided equally?
Gemma 2B:
Reasoning: 33046 รท 1066 = <<33046 รท 1066 โ 31.5>>31.5 compasses will go to each store. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: Suppose the compass salesman later realizes he made a mistake and that he actually has to distribute the 33046 compasses equally among 6456 stores, not 1066. How many compasses will each store receive now, if they are divided equally?
Gemma 2B:
Reasoning: 33046 รท 6456 = <<33046 รท 6456 โ 0.5>>0.5 compasses will go to each store now. ### Answer: 0.5
Expected answer: 16523/3228
Correct? No
Problem: In a large farm, a total of 49822 carrots are harvested from 58 similar plots. If each plot yielded the same number of carrots, how many carrots did each plot yield?
Gemma 2B:
Reasoning: Each plot yielded 49822/58 = <<49822/58=855>>855 carrots. ### Answer: 855
Expected answer: 859
Correct? No
Problem: There is a cloud which covers 8744 square meters of the sky and exactly the same area is revealed when the cloud dispels. If the revealed area is divided equally over the original area, what is the ratio of the revealed area to the original area?
Gemma 2B:
Reasoning: The ratio of the revealed area to the original area is 1:1. ### Answer: 1:1
Expected answer: 1
Correct? Yes
Problem: A scooter travels a total distance of 97506 meters on a full charge. If the battery life of the scooter is 18 hours on a full charge, how many meters does the scooter travel per hour?
Gemma 2B:
Reasoning: The scooter travels 97506/18 = <<97506/18=53938>>53938 meters per hour. ### Answer: 53938
Expected answer: 5417
Correct? No
Problem: A star emits a total of 94548 units of light energy over a period of 7879 hours. If the star emits a constant amount of light energy every hour, how much light energy does it emit every hour?
Gemma 2B:
Reasoning: The amount of light energy emitted every hour is equal to the total amount of light energy emitted divided by the total number of hours. Therefore, the amount of light energy emitted every hour is 94548 รท 7879 โ <<12.24>>12.24 units of light energy.
Expected answer: 12
Correct? No
Problem: A forest contains a total of 80752 trees and it is split evenly into 412 sections. How many trees are there in each section?
Gemma 2B:
Reasoning: Each section contains 80752/412 = <<80752/412=200>>200 trees. ### Answer: 200
Expected answer: 196
Correct? No
Problem: A farm harvested 44280 cucumbers over 216 days. If they harvested an equal amount of cucumbers each day, how many cucumbers were harvested each day?
Gemma 2B:
Reasoning: Each day, the farm harvested 44280/216 = <<44280/216=200>>200 cucumbers. ### Answer: 200
Expected answer: 205
Correct? No
Problem: A cookie factory produced a total of 77545 cookies that were evenly divided into 1193 packages. How many cookies are there in each package?
Gemma 2B:
Reasoning: Each package contained 77545 รท 1193 = <<77545 รท 1193 โ 65>>65 cookies. ### Answer: 65
Expected answer: 65
Correct? Yes
Problem: Considering the same scenario where the cookie factory is producing cookies, imagine now they increased their packaging capabilities and packaged the same 77545 cookies into 1834 packages instead of 1193. How many cookies are there in each package now?
Gemma 2B:
### Answer: 45
Expected answer: 77545/1834
Correct? No
Problem: A star emits 51750 units of light energy every 125 seconds. How much light energy does the star emit every second?
Gemma 2B:
Reasoning: The light energy emitted every second is equal to the total energy emitted in 125 seconds, which is 51750 units. ### Answer: 51750
Expected answer: 414
Correct? No
Problem: A candy factory produced 25144 candies evenly over 56 days. How many candies did the factory make each day?
Gemma 2B:
Reasoning: Each day, the factory produced 25144 รท 56 = <<25144 รท 56=446>>446 candies. ### Answer: 446
Expected answer: 449
Correct? No
Problem: A party needs 34240 slices of bread for sandwiches. If each loaf of bread contains 10 slices, how many loaves of bread are needed for the party?
Gemma 2B:
Reasoning: 34240 รท 10 = <<34240 รท 10=3424>>3424 slices of bread are needed for the party. ### Answer: 3424
Expected answer: 3424
Correct? Yes
Problem: If instead the party needed 7638 slices of bread for sandwiches, still considering that each loaf of bread contains 10 slices, how many loaves of bread would then be needed for the party?
Gemma 2B:
### Answer: 7638 รท 10
Expected answer: 3819/5
Correct? No
Problem: A forest ranger has noticed that over 119 days, 20111 trees have sprouted throughout the forest. If each day has the same number of new trees sprouting, how many new trees sprout each day?
Gemma 2B:
Reasoning: Each day, 20111 trees sprout, so each day, 20111 new trees sprout throughout the forest. ### Answer: 20111
Expected answer: 169
Correct? No
Problem: A dog food factory distributed 91,104 cans of dog food uniformly over 52 weeks. How many cans of dog food did they distribute per week?
Gemma 2B:
Reasoning: They distributed 91,104 รท 52 = <<91,104 รท 52=1,790>>1,790 cans per week. ### Answer: 1,790
Expected answer: 1752
Correct? No
Problem: A blanket manufacturing company has 19944 yards of fabric. They use the same amount of fabric to produce each blanket, and from this total amount of fabric, they can make 18 blankets. How many yards of fabric is used for each blanket?
Gemma 2B:
Reasoning: Each blanket uses 19944 รท 18 = <<19944 รท 18=1088>>1088 yards of fabric. ### Answer: 1088
Expected answer: 1108
Correct? No
Problem: A farmer has harvested a total of 45764 potatoes from his 2692 plants. On average, how many potatoes does each plant produce?
Gemma 2B:
Reasoning: The total number of potatoes is 45764/2692 = <<45764/2692=17>>17 potatoes per plant. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: Following up on the previous scenario, the farmer discovered that he actually harvested a total of 7664 potatoes, not 45764. With the same number of plants (2692), what would be the new average of potatoes each plant produces?
Gemma 2B:
### Answer: 17
Expected answer: 1916/673
Correct? No
Problem: A marshmallow factory produced 85560 marshmallows in 713 hours. If the factory produces the same amount every hour, how many marshmallows are made each hour?
Gemma 2B:
Reasoning: 85560 รท 713 = <<85560 รท 713 โ120>>120 marshmallows are made each hour. ### Answer: 120
Expected answer: 120
Correct? Yes
Problem: In the same marshmallow factory, another batch of marshmallows was made over a longer production period. This time, 85560 marshmallows were produced in 7544 hours. If the factory produces the same amount each hour during this period, how many marshmallalls were made each hour now?
Gemma 2B:
Reasoning: 85560 รท 7544 = <<85560 รท 7544 โ12>>12 marshmallows are made each hour now. ### Answer: 12
Expected answer: 465/41
Correct? No
Problem: On a farm, there is a total area of 49,928 square meters to plant crops. If this area is divided into uniform plots of 6,241 square meters each, how many plots are there on the farm?
Gemma 2B:
Reasoning: To find the number of plots, we divide the total area by the size of each plot: 49,928 รท 6,241 = <<49,928 รท 6,241 โ 8>>8 plots. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Instead of subdividing the total area of 49,928 square meters into plots of 6,241 square meters each, the farmer decides to subdivide it into smaller plots, each measuring 23 square meters. How many plots are there on the farm now?
Gemma 2B:
Reasoning: To find the number of plots, we divide the total area by the size of each plot: 49,928 รท 23 = <<49,928 รท 23 โ 2128>>2128 plots. ### Answer: 2128
Expected answer: 49928/23
Correct? No
Problem: A baker used 62118 grams of flour to make cookies over the course of 2142 days. How many grams of flour were used to make cookies each day?
Gemma 2B:
Reasoning: To find the amount of flour used per day, we divide the total amount of flour used by the number of days the flour was used. 62118 รท 2142 = <<62118 รท 2142=29.3>>29.3 grams of flour were used to make cookies each day.
Expected answer: 29
Correct? No
Problem: A shoemaker has 91100 centimeters of shoelaces and he distributes them equally in 3644 pairs of shoes. How many centimeters of shoelace does each pair get?
Gemma 2B:
Reasoning: Each pair gets 91100/3644 = <<91100/3644=25>>25 centimeters of shoelace. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: If the shoemaker only had 9498 pairs of shoes but the same amount of shoelace (91100 centimeters), how many centimeters of shoelace would each pair get then?
Gemma 2B:
Reasoning: Each pair gets 91100/9498 = <<91100/9498=0.95>>0.95 centimeters of shoelace. ### Answer: 0.95
Expected answer: 45550/4749
Correct? No
Problem: A farmer harvests 505 bushels of apples and equally distributes them into 5 bins. How many bushels of apples does each bin contain?
Gemma 2B:
Reasoning: Each bin contains 505 รท 5 = <<505 รท 5=101>>101 bushels of apples. ### Answer: 101
Expected answer: 101
Correct? Yes
Problem: The farmer has now harvested a bigger lot of 7798 bushels of apples and once again distributes them equally into 5 bins. Now, how many bushels of apples does each bin contain?
Gemma 2B:
Reasoning: Each bin now contains 7798 รท 5 = <<7798 รท 5=1559.6>>1559.6 bushels of apples. ### Answer: 1559.6
Expected answer: 7798/5
Correct? Yes
Problem: At a party, there were a total of 65325 confetti pieces and they were equally spread across 5025 square feet of area. How many confetti pieces were there per square foot?
Gemma 2B:
Reasoning: Each square foot had 65325/5025 = <<65325/5025=12.8>>12.8 confetti pieces. ### Answer: 12.8
Expected answer: 13
Correct? No
Problem: A crayon factory produced 26691 crayons which are evenly distributed into 123 boxes. How many crayons are there in each box?
Gemma 2B:
Reasoning: Each box contains 26691/123 = <<26691/123โ21>>21 crayons. ### Answer: 21
Expected answer: 217
Correct? No
Problem: A firefighter unit extinguished a total of 45843 fires over the course of 413 weeks. If the firefighter unit extinguished the same number of fires each week, how many fires did they extinguish per week?
Gemma 2B:
Reasoning: 45843/413 = <<45843/413=109>>109 fires per week. ### Answer: 109
Expected answer: 111
Correct? No
Problem: A park is 57546 square meters large and is divided into 9591 identical sections. What is the area of each section in square meters?
Gemma 2B:
Reasoning: The area of each section is 57546 รท 9591 = <<57546 รท 9591 โ0.6 square meters>>0.6 square meters. ### Answer: 0.6
Expected answer: 6
Correct? No
Problem: A toothpaste company produced 93822 tubes of toothpaste using 4938 boxes of raw materials. If each box of raw materials can produce the same amount of toothpaste tubes, how many toothpaste tubes are generated from one box of raw materials?
Gemma 2B:
Reasoning: Each box of raw materials can produce 4938/93822 = <<0.052>>5.2 toothpaste tubes. Therefore, 4938 boxes of raw materials can produce 4938*0.052 = <<24.8>>24.8 toothpaste tubes. ### Answer: 24.8
Expected answer: 19
Correct? No
Problem: A park's Jungle gym is used by a total of 40740 children over the span of 84 days. If the Jungle gym is used by the same number of kids each day, how many children use the Jungle gym each day?
Gemma 2B:
Reasoning: 40740 children/84 days = <<40740/84=485>>485 children use the Jungle gym each day. ### Answer: 485
Expected answer: 485
Correct? Yes
Problem: Imagine now that over a period of 84 days, 8576 children use the park's Jungle gym instead of 40740 children. If the Jungle gym is used equally by kids each day, how many children are now using the Jungle gym per day?
Gemma 2B:
### Answer: 485
Expected answer: 2144/21
Correct? No
Problem: A snowman competition uses 39482 cc (cubic centimeters) of snow to make 38 identical snowmen. How many cubic centimeters of snow are used for each snowman?
Gemma 2B:
Reasoning: Each snowman uses 39482/38 = <<1000>>1000 cc of snow. ### Answer: 1000
Expected answer: 1039
Correct? No
Problem: A large window spanning 67673 square inches is being divided into 1147 equally sized smaller squares. Find the area in square inches of each of these smaller squares.
Gemma 2B:
Reasoning: Each smaller square is 67673/1147 = <<67673/1147 โ 58>>58 inches on side. ### Answer: 58
Expected answer: 59
Correct? No
Problem: A farmer has a large field of orange trees. In total, the trees produce 49,920 oranges. If the oranges are evenly distributed among the 195 trees, how many oranges does each tree produce?
Gemma 2B:
Reasoning: Each tree produces 49,920 รท 195 = <<49,920 รท 195 โ 248>>248 oranges. ### Answer: 248
Expected answer: 256
Correct? No
Problem: A consumption study found that 34160 children had a sandwich for lunch out of the total 4270 schools in the country. If every school has an equal number of children, how many children in each school had a sandwich for lunch?
Gemma 2B:
Reasoning: Each school has the same number of children, which is 4270/34160 = <<4270/34160 โ1>>1 child. Therefore, every school had about 1 child have a sandwich for lunch.
Expected answer: 8
Correct? No
Problem: A toothpaste tube contains 3366 grams of paste and each brushing uses an average of 306 grams. How many times can you brush your teeth with this tube of toothpaste?
Gemma 2B:
Reasoning: The number of times you can brush your teeth with this tube of toothpaste is equal to the number of grams of paste in the tube divided by the amount of paste used per brushing. 3366 รท 306 = <<3366 รท 306 โ 11>>11 times. ### Answer: 11
Expected answer: 11
Correct? Yes
Problem: Consider the previous toothpaste problem, but this time, the toothpaste tube contains 9060 grams of paste. How many times can you now brush your teeth with this tube of toothpaste if each brushing still uses an average of 306 grams?
Gemma 2B:
Reasoning: The number of times you can brush your teeth with this tube of toothpaste is equal to the number of grams of paste in the tube divided by the amount of paste used per brushing. 9060 รท 306 = <<9060 รท 306 โ 30>>30 times. ### Answer: 30
Expected answer: 1510/51
Correct? No
Problem: A textile factory produces 49742 towels, evenly distributed among 1309 boxes. How many towels are in each box?
Gemma 2B:
Reasoning: Each box contains 49742/1309 = <<49742/1309โ37>>37 towels. ### Answer: 37
Expected answer: 38
Correct? No
Problem: An alien civilization sends 43134 messages over a period of 3318 Earth days. If they send exactly the same number of messages each day, how many messages do they send per day?
Gemma 2B:
Reasoning: 43134 messages/3318 days = <<43134/3318=13.22>>13.22 messages per day. ### Answer: 13.22
Expected answer: 13
Correct? No
Problem: A school district has 80,011 students who are equally distributed across 31 school buses. How many students are there per bus?
Gemma 2B:
Reasoning: Each bus has an equal number of students, which is 80,011 รท 31 = <<80,011 รท 31=2,734>>2,734 students.
Expected answer: 2581
Correct? No
Problem: A camera store sold 54020 cameras over a period of 730 days. If they sell the same number of cameras each day, how many cameras are sold daily?
Gemma 2B:
Reasoning: 54020/730 = <<54020/730=72>>72 cameras are sold daily.
Expected answer: 74
Correct? No
Problem: An ice cream factory makes 25774 liters of ice cream that were packed into 526 containers evenly. How many liters of ice cream does each container accommodate?
Gemma 2B:
Reasoning: Each container can accommodate 25774 รท 526 = <<25774 รท 526 โ 48>>48 liters of ice cream. ### Answer: 48
Expected answer: 49
Correct? No
Problem: A city's public transportation system logs a total of 85300 miles driven among its fleet of 3412 buses in a week. Assuming each bus travels the same distance, how many miles does each bus drive in a week?
Gemma 2B:
Reasoning: Each bus travels 85300/3412 = <<85300/3412=25>>25 miles in a week. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: With the same fleet of 3412 buses, the city's public transportation system only logs a total of 3940 miles driven next week. If each bus shared the work evenly again, how many miles did each bus drive in this week?
Gemma 2B:
### Answer: 3940
Expected answer: 985/853
Correct? No
Problem: A wind turbine generates a total of 92250 kilowatts of energy over 75 hours. How much energy does it produce per hour?
Gemma 2B:
Reasoning: The energy generated per hour is 92250 รท 75 = <<120,000>>120,000 kilowatts of energy per hour. ### Answer: 120,000
Expected answer: 1230
Correct? No
Problem: A baby gained a total of 3734 grams over a span of 1867 days. How many grams did the baby gain daily on average?
Gemma 2B:
Reasoning: The average daily gain = total gain/total days = 3734/1867 = <<3734/1867~~2.00>>2.00 grams.
Expected answer: 2
Correct? Yes
Problem: A firefighter uses a hose that releases 33,532 liters of water. If the hose releases the same amount of water each minute for 8,383 minutes, how many liters of water are released per minute?
Gemma 2B:
Reasoning: The amount of water released per minute is equal to the amount of water released in 8,383 minutes divided by the number of minutes in 8,383 minutes. ### Answer: 4000
Expected answer: 4
Correct? No
Problem: A farmer collects eggs from her chickens. She collects a total of 96,120 eggs evenly from 20 chickens. How many eggs does each chicken contribute?
Gemma 2B:
Reasoning: Each chicken contributes 96,120 รท 20 = <<96,120 รท 20=4805>>4805 eggs to the farmer. ### Answer: 4805
Expected answer: 4806
Correct? No
Problem: A town receives 11458 millimeters of rain over 17 days. How much rain does the town receive each day if it rains the same amount every day?
Gemma 2B:
Reasoning: The town receives 11458 รท 17 = <<11458 รท 17=683>>683 millimeters of rain each day. ### Answer: 683
Expected answer: 674
Correct? No
Problem: A pen factory produced 2526 pens in 842 hours. If they produced pens at an equal pace all the time, how many pens were produced every hour?
Gemma 2B:
Reasoning: 2526 รท 842 = <<2526 รท 842=3>>3 pens per hour. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: If the pen factory had instead produced 2526 pens in 547 hours under the same even-paced conditions, how many pens would have been produced each hour?
Gemma 2B:
### Answer: 4.5
Expected answer: 2526/547
Correct? No
Problem: A school decided to equally distribute 285 erasers among 19 classrooms. How many erasers does each classroom get?
Gemma 2B:
Reasoning: Each classroom gets 285 รท 19 = <<285 รท 19=15>>15 erasers. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Initially a school decided to equally distribute 285 erasers among 19 classrooms. But later, the school received a donation and the total number of erasers increased to 4681. If these erasers are equally distributed among the same 19 classrooms, how many erasers does each classroom get now?
Gemma 2B:
### Answer: 264
Expected answer: 4681/19
Correct? No
Problem: A penguin slides down a glacier at a constant speed and covers a distance of 41020 feet in 5 hours. What is the penguin's speed in feet per hour?
Gemma 2B:
Reasoning: The speed of the penguin can be calculated by dividing the distance covered by the time taken. Speed = Distance/Time = 41020/5 = <<8204>>8204 feet per hour. ### Answer: 8204
Expected answer: 8204
Correct? Yes
Problem: In the last problem, the penguin covered a distance of 41020 feet in 5 hours. Now, consider a situation where the penguin only covered a distance of 4325 feet in the same 5 hours. What would be the penguin's speed in feet per hour in this new scenario?
Gemma 2B:
Reasoning: The speed of the penguin can be calculated by dividing the new distance covered by the new time taken. Speed = Distance/Time = 4325/5 = <<865>>865 feet per hour. ### Answer: 865
Expected answer: 865
Correct? Yes
Problem: A water company has a reservoir that can hold 63360 gallons of water. If the reservoir is divided into 576 equal sections, how many gallons of water does each section hold?
Gemma 2B:
Reasoning: Each section holds 63360 รท 576 = <<63360 รท 576=10.83>>10.83 gallons of water. ### Answer: 10.83
Expected answer: 110
Correct? No
Problem: A fashion company made a total of 21868 skirts distributed equally among 77 stores. How many skirts did each store get?
Gemma 2B:
Reasoning: Each store got 21868/77 = <<21868/77=296>>296 skirts. ### Answer: 296
Expected answer: 284
Correct? No
Problem: A TV channel broadcasts a total of 56109 minutes of advertisements over a 59-day period. On average, how many minutes of advertisements are shown each day?
Gemma 2B:
Reasoning: The total number of minutes of advertisements is 56109 minutes. The number of minutes shown each day is 56109 รท 59 = <<978.34>>97.83 minutes. ### Answer: 97.83
Expected answer: 951
Correct? No
Problem: A teacher marks a total of 59748 marks distributed evenly over 1149 exam papers. How many marks are in each exam paper?
Gemma 2B:
Reasoning: Each exam paper has 59748/1149 = <<59748/1149 โ52>>52 marks. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: If the teacher, instead of marking 59748 marks, marked a total of 7117 marks distributed evenly over the same 1149 exam papers, how many marks would be in each exam paper now?
Gemma 2B:
Reasoning: Each exam paper would then have 7117/1149 = <<6.2>>6.2 marks. ### Answer: 6.2
Expected answer: 7117/1149
Correct? No
Problem: A reservoir holds 44840 liters of water. If this water is equally distributed across 76 houses in a village, how many liters of water will each house get?
Gemma 2B:
Reasoning: Each house will get 44840/76 = <<44840/76=580>>580 liters of water. ### Answer: 580
Expected answer: 590
Correct? No
Problem: A butterfly during its lifetime lay 5385 eggs, and she spread these eggs evenly across 359 flowers. How many eggs did she lay on each flower?
Gemma 2B:
Reasoning: Each butterfly laid 5385/359 = <<5385/359โ14>>14 eggs on each flower. ### Answer: 14
Expected answer: 15
Correct? No
Problem: A camera has a total of 95038 pixels divided evenly into 61 rows. How many pixels are there in each row?
Gemma 2B:
Reasoning: Each row has the same number of pixels, which is 158. ### Answer: 158
Expected answer: 1558
Correct? No
Problem: An ice cream factory produces a total of 45580 cones of ice cream over a period of 53 days. If the ice cream cones are produced uniformly across these days, how many ice cream cones are made each day?
Gemma 2B:
Reasoning: The number of cones produced each day is 45580 รท 53 = <<45580 รท 53=870>>870 cones. ### Answer: 870
Expected answer: 860
Correct? No
Problem: A textile factory produces 36135 square inches of towel fabric that is divided evenly among 219 towels. How many square inches of fabric is each towel?
Gemma 2B:
Reasoning: Each towel is 36135 รท 219 = <<36135 รท 219 โ150>>150 square inches. ### Answer: 150
Expected answer: 165
Correct? No
Problem: A fireplace burns 36300 kilojoules of energy in 4 hours. How much energy does it burn in one hour?
Gemma 2B:
Reasoning: 36300/4 = <<36300/4=9375>>9375 kilojoules of energy burn in one hour. ### Answer: 9375
Expected answer: 9075
Correct? No
Problem: A snowman-making competition has 9 teams, each of them was provided an equal amount of snow weighing up to 51156 kilograms in total. How much snow, in kilograms, did each team get to make their snowman?
Gemma 2B:
Reasoning: Each team got 51156/9 = <<51156/9=5726.7>>5726.7 kilograms of snow to make their snowman. ### Answer: 5726.7
Expected answer: 5684
Correct? No
Problem: An apple orchard yielded a total of 56250 apples. Over the course of 30 days, they managed to harvest the same number of apples every day. How many apples were harvested each day?
Gemma 2B:
Reasoning: Each day, they harvested 56250/30 = <<56250/30=188.33>>188.33 apples.
Expected answer: 1875
Correct? No
Problem: A baby spoke her first word after 82992 seconds of being awake in her life. If one day is considered 1729 seconds, after how many days did she speak her first word?
Gemma 2B:
Reasoning: 82992/1729 = <<82992/1729=50>>50 days. The baby spoke her first word after 50 days of being awake.
Expected answer: 48
Correct? No
Problem: A map has a scale of 91368 centimeters representing 216 kilometers. How many centimeters on the map represent 1 kilometer in real life?
Gemma 2B:
Reasoning: 1 kilometer = 91368 cm. 1 kilometer / 91368 cm = 0.00001 km = 1/10000 km on the map. ### Answer: 1/10000
Expected answer: 423
Correct? No
Problem: A fashion designer plans to use 33536 beads to embellish a dress uniformly across 131 different sections. How many beads will be used for each section?
Gemma 2B:
Reasoning: Each section will receive an equal amount of beads, which is 33536 รท 131 = <<33536 รท 131 โ 264>>264 beads. ### Answer: 264
Expected answer: 256
Correct? No
Problem: A firefighter sprays 69966 gallons of water on a fire in 299 minutes. If the firefighter sprays the same amount of water every minute, how many gallons does he spray each minute?
Gemma 2B:
Reasoning: 69966 รท 299 = <<69966 รท 299 โ 220>>220 gallons per minute. ### Answer: 220
Expected answer: 234
Correct? No
Problem: The latest model of window that a company has designed will require 6354 square inches of glass material. The manufacturer's current stock can cover 2118 same-sized windows. How many square inches of glass are required for a single window?
Gemma 2B:
Reasoning: The number of square inches required for a single window is 6354/2118 = <<6354/2118=3>>3 square inches. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: After revising their design slightly, the company now finds that they will only need 6354 square inches of glass material to produce 6122 of the new model of windows. How many square inches of glass are now required for each of the new model windows?
Gemma 2B:
Reasoning: The number of square inches required for each new model window is 6354/6122 = <<6354/6122=1>>1 square inch. ### Answer: 1
Expected answer: 3177/3061
Correct? No
Problem: A frog jumps a total of 12288 centimeters in 512 jumps. If the frog jumps the same distance each time, how many centimeters does the frog jump per jump?
Gemma 2B:
Reasoning: The frog jumps the same distance each time, so the distance jumped per jump is 12288/512 = <<12288/512=24>>24 centimeters.
Expected answer: 24
Correct? Yes
Problem: A gardener planted a total of 1392 flowers evenly into 116 pots. How many flowers are there in each pot?
Gemma 2B:
Reasoning: Each pot received 1392 รท 116 = <<1392 รท 116 โ12>>12 flowers. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: If instead of planting a total of 1392 flowers, the gardener planted a total of 7275 flowers evenly into the 116 pots, then how many flowers would there be in each pot now?
Gemma 2B:
Reasoning: Each pot would then receive 7275 รท 116 = <<7275 รท 116 โ64>>64 flowers. ### Answer: 64
Expected answer: 7275/116
Correct? No
Problem: An ice cream shop sold a total of 31,176 scoops of ice cream over 9 weeks. How many scoops of ice cream did they sell each week?
Gemma 2B:
Reasoning: The average number of scoops sold each week was 31,176 รท 9 = <<31,176 รท 9=3,419>>3,419 scoops.
Expected answer: 3464
Correct? No
Problem: A very active mouse runs 14824 meters in 4 hours. If he runs at a constant rate, how many meters per hour does he run?
Gemma 2B:
Reasoning: The mouse runs 14824 meters in 4 hours, so his average speed is 14824 รท 4 = <<37060>>37060 meters per hour. ### Answer: 37060
Expected answer: 3706
Correct? No
Problem: In a large monkey sanctuary, there are 88,508 bananas to be split evenly among 406 monkeys. If every monkey will receive an equal number of bananas, how many bananas would each monkey get?
Gemma 2B:
Reasoning: Each monkey will receive 20.42 bananas, which is approximately equal to 20.4 bananas. ### Answer: 20.4
Expected answer: 218
Correct? No
Problem: A furniture maker has a large order placed by a hotel owner for tables. The order is for 15110 table legs, making the assumption that each table will have 2 legs. How many tables is the hotel owner ordering?
Gemma 2B:
Reasoning: The number of tables is equal to the number of legs ordered, which is 15110. ### Answer: 34
Expected answer: 7555
Correct? No
Problem: A hat maker has 3560 feathers which will be used to decorate hats. If each hat will have 890 feathers, how many hats can be made?
Gemma 2B:
Reasoning: The number of hats that can be made is equal to the number of feathers available divided by the number of feathers in each hat. 3560 รท 890 = <<3560 รท 890 โ 4">>4 hats can be made from the 3560 feathers. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: In the previous scenario, suppose the hat maker did not have 3560 feathers, but only had 1416 feathers instead. If each hat will still have 890 feathers, how many hats can be produced now?
Gemma 2B:
Reasoning: The number of hats that can be made is still equal to the number of feathers available divided by the number of feathers in each hat. 1416 รท 890 = <<1416 รท 890 โ 1.6>>1.6 hats can be made from the 1416 feathers. ### Answer: 1.6
Expected answer: 708/445
Correct? No
Problem: A card game involves a total of 17394 points distributed equally over 3 players. How many points does each player have?
Gemma 2B:
Reasoning: Each player gets 17394 รท 3 = <<17394 รท 3=5464>>5464 points. ### Answer: 5464
Expected answer: 5798
Correct? No
Problem: The central park covers a big land area of 3276 acres divided into 126 identical sections. How many acres does each section have?
Gemma 2B:
Reasoning: Each section has an area of 3276 รท 126 = <<3276 รท 126 โ 26>>26 acres.
Expected answer: 26
Correct? Yes
Problem: A pants manufacturer has 54736 yards of fabric. If they are planning to make each pair of pants using the same amount of fabric and each will consume an equal portion of the total fabric, how many yards of fabric are needed for each pair if they intend to produce 11 pairs?
Gemma 2B:
Reasoning: Each pair will require 54736 รท 11 = <<54736 รท 11=5123.3>>5123.3 yards of fabric. ### Answer: 5123.3
Expected answer: 4976
Correct? No
Problem: The minute hand of a clock rotates 49716 degrees throughout 18 hours. If the rotation is uniform, how many degrees does it rotate each hour?
Gemma 2B:
Reasoning: The minute hand rotates 360 degrees in 12 hours, so it rotates 360/12 = 30 degrees per hour. ### Answer: 30
Expected answer: 2762
Correct? No
Problem: A toy company has made 1865 stuffed animals spread over 373 different designs. If each design has the same number of stuffed animals, how many stuffed animals are there for each design?
Gemma 2B:
Reasoning: Each design has the same number of stuffed animals because the company made 1865 divided by 373 = <<1865/373=5>>5 different designs. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: In an alternate scenario, the toy company made 2542 stuffed animals, still spread over 373 different designs. If each design had the same number of stuffed animals in this scenario, how many stuffed animals would there be for each design?
Gemma 2B:
Reasoning: Each design would still have the same number of stuffed animals because the company made 2542 divided by 373 = <<2542/373=7>>7 different designs. ### Answer: 7
Expected answer: 2542/373
Correct? No
Problem: A bear travels a total of 31470 feet in 30 days. If the bear travels the same distance each day, how many feet does it travel each day?
Gemma 2B:
Reasoning: The bear travels 31470 รท 30 = <<31470 รท 30=1015>>1015 feet each day. ### Answer: 1015
Expected answer: 1049
Correct? No
Problem: A pen manufacturer produced 9636 pen units and distributed them equally among its 44 retailers. How many pen units did each retailer receive?
Gemma 2B:
Reasoning: Each retailer received 9636/44 = <<9636/44=216>>216 pen units. ### Answer: 216
Expected answer: 219
Correct? No