Gemma 2B on 5.NBT.B.6
Common Core Standard 5.NBT.B.6
This standard covers the following:
Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Problem: A school bus drives 2496 miles over 52 weeks taking students to various competitions. How many miles does the bus drive on average each week?
Gemma 2B:
Reasoning: The bus drives 2496 ÷ 52 = <<2496 ÷ 52=48>>48 miles on average each week. ### Answer: 48
Expected answer: 48
Correct? Yes
Problem: If the school bus had instead driven 6100 miles over the same 52 weeks, how many miles would the bus have driven on average each week?
Gemma 2B:
Reasoning: The bus would have driven 6100 ÷ 52 = <<6100 ÷ 52=120>>120 miles on average each week. ### Answer: 120
Expected answer: 1525/13
Correct? No
Problem: An astronaut has a 90-day mission in space during which he consumes a total of 3870 liters of oxygen. If his oxygen consumption is the same every day, how much oxygen does he use daily?
Gemma 2B:
Reasoning: The astronaut consumes 3870/90 = <<3870/90=42.22>>42.22 liters of oxygen daily. ### Answer: 42.22
Expected answer: 43
Correct? No
Problem: A dinosaur lays 50 eggs evenly in 10 nests. How many eggs are there in each nest?
Gemma 2B:
Reasoning: Each nest has 50/10 = <<50/10=5>>5 eggs. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Instead of 50 eggs, a dinosaur lays 2603 eggs and distributes them evenly into 10 nests. How many eggs are there in each nest now?
Gemma 2B:
Reasoning: Each nest now has 2603/10 = <<2603/10=260.3>>260 eggs. ### Answer: 260
Expected answer: 2603/10
Correct? No
Problem: A family decided to donate 455 towels to a local shelter. They plan to donate an equal amount of towels each day for 5 days. How many towels will they donate each day?
Gemma 2B:
Reasoning: The family will donate 455 ÷ 5 = <<455 ÷ 5=91>>91 towels each day. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: The family, after reviewing their stock, realized that they actually have 4581 towels to donate instead of 455. If they still plan to donate equal amounts for 5 days, how many towels will they donate each day now?
Gemma 2B:
### Answer: 91
Expected answer: 4581/5
Correct? No
Problem: A school has 1089 students and plans to take them on a field trip using buses. If each bus can carry exactly 11 students, how many buses does the school need to hire for the field trip?
Gemma 2B:
Reasoning: To find the number of buses needed, we divide the total number of students by the number of students each bus can carry. 1089 ÷ 11 = <<1089 ÷ 11=99>>99 buses are needed for the field trip. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: Following the field trip, the school finds out that they will now be taking 4570 students for the next excursion. If each bus can still only carry 11 students, how many buses will the school need to hire for this next field trip?
Gemma 2B:
Reasoning: To find the number of buses needed for the next field trip, we divide the total number of students by the number of students each bus can carry. 4570 ÷ 11 = <<4570 ÷ 11=420>>420 buses are needed for the next field trip. ### Answer: 420
Expected answer: 4570/11
Correct? No
Problem: A bed sheet manufacturer produces 2520 bed sheets in 28 days. If they produce the same number of sheets every day, how many bed sheets are manufactured each day?
Gemma 2B:
Reasoning: 2520/28 = <<2520/28=93>>93 bed sheets are manufactured every day. ### Answer: 93
Expected answer: 90
Correct? No
Problem: A dog food manufacturer produces 2900 pounds of dog food in a day. If this amount is evenly distributed into 50 bags, how many pounds of food does each bag contain?
Gemma 2B:
Reasoning: Each bag contains 2900/50 = <<2900/50=58>>58 pounds of food. ### Answer: 58
Expected answer: 58
Correct? Yes
Problem: The manufacturer changes the production procedure and now it can only produce 2301 pounds of dog food in a day, while maintaining the same number of bags which is 50. How many pounds of food does each bag contain now?
Gemma 2B:
### Answer: 2301/50=46.02
Expected answer: 2301/50
Correct? Yes
Problem: A cat catches 2187 mice over a period of 27 months. How many mice does the cat catch each month?
Gemma 2B:
Reasoning: The cat catches 2187 ÷ 27 = <<2187 ÷ 27=80>>80 mice each month. ### Answer: 80
Expected answer: 81
Correct? No
Problem: A vineyard has harvested 1426 grapes and wants to pack them evenly among 62 boxes. How many grapes will be in each box?
Gemma 2B:
Reasoning: Each box will have 24 grapes, which is half of the total number of grapes. ### Answer: 24
Expected answer: 23
Correct? No
Problem: A group of scientists studying marine life have found 1152 starfish distributed evenly over 72 square feet of seafloor. How many starfish are there in each square foot of seafloor?
Gemma 2B:
Reasoning: Each square foot of seafloor contains 1152/72 = <<1152/72=16>>16 starfish. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: The scientists then study a different area of seafloor and find 833 starfish distributed evenly over the same 72 square feet. How many starfish are there in each square foot of this different seafloor area?
Gemma 2B:
Reasoning: Each square foot of seafloor contains 833/72 = <<833/72=11.8>>11.8 starfish. ### Answer: 11.8
Expected answer: 833/72
Correct? No
Problem: In a sandbox, a child splits 36 toy trucks evenly between his 18 stuffed animals. How many toy trucks does each stuffed animal get?
Gemma 2B:
Reasoning: Each stuffed animal gets 36 ÷ 18 = <<36 ÷ 18=2>>2 toys. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: The child then finds another huge stash of toy trucks totalling 2925. He continues to distribute them evenly among his 18 stuffed animals. How many additional toy trucks does each stuffed animal get now?
Gemma 2B:
Reasoning: Each stuffed animal gets 2925 ÷ 18 = <<2925 ÷ 18=162.8>>163 additional toys. ### Answer: 163
Expected answer: 325/2
Correct? No
Problem: A police officer patrols a city that has been divided into 240 blocks. The city is divided evenly among 30 officers. How many blocks is each officer responsible for?
Gemma 2B:
Reasoning: Each officer is responsible for 240/30 = <<240/30=8>>8 blocks. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Now consider a larger city that is spread across 3698 blocks. It is also monitored by 30 police officers. How many blocks would each officer be responsible for in this larger city?
Gemma 2B:
### Answer: 3698/30
Expected answer: 1849/15
Correct? Yes
Problem: In an enchanted forest, there are 7917 unicorns spread evenly among 87 meadows. How many unicorns are there in each meadow?
Gemma 2B:
Reasoning: Each meadow has 7917/87 = <<7917/87=91>>91 unicorns. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: If the enchanted forest had originally contained 2842 unicorns evenly distributed among the 87 meadows instead of 7917, how many unicorns would there be in each meadow?
Gemma 2B:
Reasoning: Each meadow would then have 2842/87 = <<2842/87=32>>32 unicorns. ### Answer: 32
Expected answer: 98/3
Correct? No
Problem: A river flows 902 kilometers through a country, passing through 82 cities along its course. If the river's length is evenly distributed among these cities, how many kilometers of the river's length are there within each city?
Gemma 2B:
Reasoning: The length of the river's flow is 902 kilometers. If the river's length is evenly distributed among these cities, each city will receive 902/82 = <<10.83>>10.83 kilometers of the river's length. ### Answer: 10.83
Expected answer: 11
Correct? No
Problem: A sunglasses manufacturer produces a total of 552 sunglasses across 69 different production runs. If every run produces an equal number of sunglasses, how many sunglasses are made in each run?
Gemma 2B:
Reasoning: Each production run produces 552/69 = <<552/69=8>>8 sunglasses.
Expected answer: 8
Correct? Yes
Problem: A baby grows at an average rate of 2125 grams in his first 25 days. What is the average daily weight gain of the baby?
Gemma 2B:
Reasoning: The average daily weight gain is 2125/25 = <<2125/25=85>>85 grams. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: If instead, the baby grows at an average rate of 392 grams in his first 25 days, what is now the average daily weight gain of the baby?
Gemma 2B:
Reasoning: The average daily weight gain is 392/25 = <<392/25=15.8>>15.8 grams. ### Answer: 15.8
Expected answer: 392/25
Correct? No
Problem: A lamp factory has produced a total of 1073 lamps over 37 consecutive days. If the factory makes the same quantity each day, how many lamps does it manufacture daily?
Gemma 2B:
Reasoning: The factory produces 1073/37 = <<1073/37≈29>>29 lamps each day. ### Answer: 29
Expected answer: 29
Correct? Yes
Problem: If the lamp factory had instead produced a total of 7668 lamps over the same 37 consecutive days, how many lamps would it have manufactured daily?
Gemma 2B:
Reasoning: The factory produced 7668 = 1073*37, so 1073 lamps each day. ### Answer: 1073
Expected answer: 7668/37
Correct? No
Problem: A tiger walked a total of 2556 meters in 36 minutes. How many meters did the tiger walk in one minute?
Gemma 2B:
Reasoning: The total distance walked in 36 minutes is 2556 meters. The average distance walked in one minute is 2556 ÷ 36 = <<74>>74 meters. ### Answer: 74
Expected answer: 71
Correct? No
Problem: There are 30 keys on a piano that you are considering to buy. If each key contributes equally to the total cost of the piano, and the piano costs 30 dollars, how much does each key cost?
Gemma 2B:
Reasoning: Each key costs 30/30 = <<30/30=1>>1 dollar. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Now suppose you are considering a much more expensive piano that has the same number of keys but costs $6906 in total. If each key contributes equally to the total cost, how much does each key on this piano cost?
Gemma 2B:
Reasoning: Each key costs 6906/30 = <<6906/30=230>>230 dollars. ### Answer: 230
Expected answer: 1151/5
Correct? No
Problem: On the beach, there are 1804 seashells scattered across a 41-meter stretch of sand. If the seashells are distributed evenly across this stretch, how many seashells are there per meter?
Gemma 2B:
Reasoning: There are 1804 ÷ 41 = <<1804 ÷ 41=44>>44 seashells per meter. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: Now consider this: instead of 1804 seashells, there are 9083 seashells evenly scattered across the same 41-meter stretch of beach sand. How many seashells would there be per meter now?
Gemma 2B:
### Answer: 9083
Expected answer: 9083/41
Correct? No
Problem: A kite is flown for a total of 1311 minutes over the course of 23 days during the summer. If the kite is flown for the same amount of time each day, how many minutes is the kite in the air per day?
Gemma 2B:
Reasoning: The kite is flown for 1311 minutes in 23 days, so the number of minutes the kite is in the air per day is 1311/23 = <<55>>55 minutes. ### Answer: 55
Expected answer: 57
Correct? No
Problem: A farmer harvested 2065 kilograms of tomatoes evenly from her 59 tomato plants. How many kilograms of tomatoes were produced by each plant on average?
Gemma 2B:
Reasoning: To find the average yield of each plant, we divide the total yield by the number of plants. Average yield = Total yield / Number of plants = 2065 kg / 59 = <<35.5 kg>>35.5 kg of tomatoes produced by each plant on average.
Expected answer: 35
Correct? No
Problem: A small indoor mouse can travel a total distance of 4928 meters by running all over the house in 77 hours. On average, how many meters does the mouse run in one hour?
Gemma 2B:
Reasoning: The mouse runs 4928/77 = <<4928/77=64>>64 meters in one hour. ### Answer: 64
Expected answer: 64
Correct? Yes
Problem: Consider instead that the indoor mouse had the ability to travel a total distance of 4928 meters in a shorter time span of 3690 minutes. On average, how many meters does the mouse run in one minute now?
Gemma 2B:
### Answer: 13.22
Expected answer: 2464/1845
Correct? No
Problem: A kite flies at a height of 1800 feet using a 50-foot string. How high is the kite flying per each foot of the used string?
Gemma 2B:
Reasoning: The kite is flying 50 feet, and the string is 50 feet long. The height is 1800 ÷ 50 = <<1800 ÷ 50=36>>36 feet. ### Answer: 36
Expected answer: 36
Correct? Yes
Problem: Suppose the kite now flies at a height of 5659 feet using the same 50-foot string. Now, how high is the kite flying per each foot of the used string?
Gemma 2B:
Reasoning: The kite is flying 50 feet, and the string is 50 feet long. The height is 5659 ÷ 50 = <<5659 ÷ 50=1131.8>>1131.8 feet. ### Answer: 1131.8
Expected answer: 5659/50
Correct? No
Problem: During a camping trip, you gather 2208 ounces of firewood, which needs to be evenly divided over 96 hours of maintaining the campfire. How many ounces of firewood are used per hour?
Gemma 2B:
Reasoning: To find the number of ounces used per hour, we divide the total amount of firewood by the number of hours. 2208 ÷ 96 = <<2208 ÷ 96=24>>24 ounces of firewood are used per hour.
Expected answer: 23
Correct? No
Problem: A princess has received 600 gifts for her birthday. She decides to evenly distribute these gifts among 50 of her closest friends. How many gifts does each friend receive?
Gemma 2B:
Reasoning: Each friend receives 600 ÷ 50 = <<600 ÷ 50=12>>12 gifts. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: In the following year, the princess receives 4030 gifts for her birthday. She again decides to evenly distribute this larger amount of presents among her 50 close friends. How many gifts does each friend get in this year?
Gemma 2B:
Reasoning: Each friend receives 4030 ÷ 50 = <<4030 ÷ 50=80.6>>80.6 gifts. ### Answer: 80.6
Expected answer: 403/5
Correct? Yes
Problem: Over the course of a 52-week year, you burned a total of 4264 logs in your fireplace. How many logs did you burn on average each week?
Gemma 2B:
Reasoning: The number of logs burned each week can be calculated by dividing the total number of logs burned by the number of weeks in a year. 4264 ÷ 52 = <<4264 ÷ 52=82>>82 logs burned on average each week.
Expected answer: 82
Correct? Yes
Problem: An unidentified flying object (UFO) traveled a distance of 1278 miles in 71 minutes. Assuming the UFO traveled at a constant speed, what was the UFO's speed in miles per minute?
Gemma 2B:
Reasoning: Speed = Distance ÷ Time. Speed = 1278 ÷ 71 = <<1278 ÷ 71=18.27>>18.27 miles per minute. ### Answer: 18.27
Expected answer: 18
Correct? No
Problem: A snail travels a total distance of 1610 cm in 35 days. If the snail travels the same distance each day, how many centimeters does the snail travel daily?
Gemma 2B:
Reasoning: The snail travels 1610 cm / 35 = <<40>>40 cm each day. ### Answer: 40
Expected answer: 46
Correct? No
Problem: A beach resort is hosting a sandcastle-building competition. They brought 960 pounds of sand for the event, and they need to divide it evenly among 80 competitor stations. How much sand will there be at each station?
Gemma 2B:
Reasoning: Each station will receive 120 pounds of sand, which is half of 960. ### Answer: 120
Expected answer: 12
Correct? No
Problem: A jewellery store received a shipment of 2520 colourful bracelets and decided to divide them evenly amongst 56 display cases. How many bracelets would be in each display case?
Gemma 2B:
Reasoning: Each display case received 2520 ÷ 56 = <<2520 ÷ 56=45>>45 bracelets. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: After the jewellery store's successful sale, they decided to bring in a fresh shipment of 5311 new bracelets. If they distributed these new bracelets equally amongst the same 56 display cases as before, how many bracelets would be in each display case now?
Gemma 2B:
Reasoning: Each display case would receive 5311 ÷ 56 = <<5311 ÷ 56=93>>93 bracelets. ### Answer: 93
Expected answer: 5311/56
Correct? No
Problem: A tiger travels a total distance of 4104 miles over 54 days. If the tiger traveled an equal number of miles each day, how many miles does the tiger travel in one day?
Gemma 2B:
Reasoning: The tiger travels 4104 ÷ 54 = <<4104 ÷ 54=76>>76 miles each day. ### Answer: 76
Expected answer: 76
Correct? Yes
Problem: Now suppose that the tiger traveled a shorter distance of 2498 miles over the same period of 54 days. If the tiger still travelled an equal number of miles each day, how many miles would the tiger travel in one day now?
Gemma 2B:
### Answer: 2498
Expected answer: 1249/27
Correct? No
Problem: A host baked cookies for a party and made a total of 2460 cookies. The baking process is evenly distributed over 60 batches. How many cookies are there in each batch?
Gemma 2B:
Reasoning: Each batch baked 2460/60 = <<2460/60=41>>41 cookies.
Expected answer: 41
Correct? Yes
Problem: If you divide 156 evenly into 6 sets, how many numbers will be in each set?
Gemma 2B:
Reasoning: Each set will have 26 numbers. ### Answer: 26
Expected answer: 26
Correct? Yes
Problem: If instead of splitting 156 items, you had to divide a larger number of items, like 2347, into the same 6 groups, how many items would be in each group now?
Gemma 2B:
### Answer: 391
Expected answer: 2347/6
Correct? No
Problem: A bubble machine produces a total of 888 bubbles over a period of 24 minutes. How many bubbles does it produce in a minute?
Gemma 2B:
Reasoning: Each bubble is produced in 24/888 = <<0.027>>seconds. Therefore, the bubble machine produces 888 bubbles in a minute.
Expected answer: 37
Correct? No
Problem: A rainbow appears after a rainstorm and lasts for 680 seconds. It cycles through its complete range of colors 8 times during its appearance. How many seconds does it spend on each cycle?
Gemma 2B:
Reasoning: Each cycle takes 680/8 = <<680/8=80>>80 seconds. The rainbow appears for 80 cycles, so it spends 80 * 680 = <<80*680=52,800>>52,800 seconds on each cycle.
Expected answer: 85
Correct? No
Problem: A ball recycler has a total of 3864 balls that he wants to evenly distribute into 42 recycling bins. How many balls will there be in each bin?
Gemma 2B:
Reasoning: Each bin will have 3864 ÷ 42 = <<3864 ÷ 42=92>>92 balls. ### Answer: 92
Expected answer: 92
Correct? Yes
Problem: If the ball recycler instead had a total of 4934 balls that he wanted to evenly distribute into 42 recycling bins, how many balls would there be in each bin?
Gemma 2B:
Reasoning: Each bin will have 4934 ÷ 42 = <<4934 ÷ 42=118>>118 balls. ### Answer: 118
Expected answer: 2467/21
Correct? No
Problem: A metalsmith is making rings. He has 1610 grams of silver and decides to use 70 grams of silver for each ring. How many rings can the metalsmith create?
Gemma 2B:
Reasoning: The number of rings = total silver / silver per ring = 1610 / 70 = <<22.64>>22.64. The metalsmith can create 22.64 rings with the 1610 grams of silver.
Expected answer: 23
Correct? No
Problem: A crate contains 88 apples. If the apples are equally distributed into 44 bags, how many apples does each bag contain?
Gemma 2B:
Reasoning: Each bag will contain 88/44 = <<88/44=2>>2 apples. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Suppose we reconsider the number of apples and there are actually 8840 apples in the crate instead of 88. If these apples are still equally distributed into 44 bags, how many apples would each bag contain now?
Gemma 2B:
Reasoning: Each bag will still contain 8840/44 = <<8840/44=200>>200 apples. ### Answer: 200
Expected answer: 2210/11
Correct? No
Problem: A jewelry maker uses 87 precious stones to create a bracelet that consists of 29 identical parts. How many stones are there in each part of the bracelet?
Gemma 2B:
Reasoning: Each part of the bracelet has 87/29 = <<87/29=3>>3 stones. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: The jewelry maker now uses 8017 precious stones to create the bracelet still keeping the same structure of 29 identical parts. How many stones are there in each part of the new bracelet?
Gemma 2B:
Reasoning: Each part of the new bracelet has 8017/29 = <<8017/29=273>>273 stones. ### Answer: 273
Expected answer: 8017/29
Correct? No
Problem: A beverage company has set a target of filling 1320 bottles with juice evenly spread over 88 hours. How many bottles are filled per hour?
Gemma 2B:
Reasoning: The number of bottles filled per hour is equal to the total number of bottles divided by the total time required to fill them. Number of bottles filled per hour = 1320 ÷ 88 = <<1320 ÷ 88=15>>15 bottles per hour. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: The beverage company has now set a new target of filling 8607 bottles with juice, maintaining the same 88 hours of operation. How many bottles are filled per hour under this new target?
Gemma 2B:
Reasoning: The number of bottles filled per hour is equal to the total number of bottles divided by the total time required to fill them. Number of bottles filled per hour = 8607 ÷ 88 = <<8607 ÷ 88=97>>97 bottles per hour. ### Answer: 97
Expected answer: 8607/88
Correct? No
Problem: Annapurna is an avid gardener and plans to plant 3520 tulips in 40 equal rows. How many tulips will she plant in each row?
Gemma 2B:
Reasoning: Each row will have the same number of tulips, which is 3520 ÷ 40 = <<3520 ÷ 40=83>>83. ### Answer: 83
Expected answer: 88
Correct? No
Problem: A toy shop produced 3306 doll clothes and distributed them evenly among 58 dolls. How many pieces of clothing did each doll get?
Gemma 2B:
Reasoning: Each doll got 3306 ÷ 58 = <<3306 ÷ 58 ≈ 58>> pieces of clothing. ### Answer: 58
Expected answer: 57
Correct? No
Problem: A bear consumes 1881 pounds of food over a 19-day hibernation period. On average, how many pounds of food does the bear consume per day during this period?
Gemma 2B:
Reasoning: The average number of pounds of food consumed per day can be calculated by dividing the total amount of food consumed by the number of days in the hibernation period. 1881 ÷ 19 = <<1881 ÷ 19=95>>95 pounds of food. ### Answer: 95
Expected answer: 99
Correct? No
Problem: A plane flew 1720 miles in 86 hours. How many miles did the plane fly per hour?
Gemma 2B:
Reasoning: The plane flew 1720 ÷ 86 = <<1720 ÷ 86=19.5>>19.5 miles per hour. ### Answer: 19.5
Expected answer: 20
Correct? No
Problem: A pencil factory manufactured 4950 pencils over a period of 90 hours. If the factory produced the same number of pencils every hour, how many pencils did it produce each hour?
Gemma 2B:
Reasoning: 4950 ÷ 90 = <<4950 ÷ 90=54>>54 pencils per hour. ### Answer: 54
Expected answer: 55
Correct? No
Problem: During a certain season, a garden produces a total of 780 tomatoes. If this output is evenly distributed over 52 weeks, how many tomatoes does the garden produce each week?
Gemma 2B:
Reasoning: Each week, the garden produces 780/52 = <<780/52=15>>15 tomatoes. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: In the following season, conditions improve in the garden and it produces a total of 2502 tomatoes. If this greater output is distributed evenly across 52 weeks like before, how many tomatoes does the garden produce each week now?
Gemma 2B:
Reasoning: Each week, the garden produces 2502/52 = <<2502/52=48.8>>48.8 tomatoes. ### Answer: 48.8
Expected answer: 1251/26
Correct? No
Problem: A tiger travels a total distance of 1679 km evenly over a period of 73 days. How many kilometers does the tiger cover each day?
Gemma 2B:
Reasoning: The tiger covers 1679/73 = <<1679/73>> km each day. ### Answer: 23.29
Expected answer: 23
Correct? No
Problem: A popular sporting goods store just got a shipment of 2280 new ice skates. They plan on distributing them equally among their 38 store locations. How many ice skates will each store receive?
Gemma 2B:
Reasoning: Each store location will receive 2280/38 = <<2280/38=60>>60 ice skates. ### Answer: 60
Expected answer: 60
Correct? Yes
Problem: The sporting goods store unexpectedly received an additional shipment, bringing the total number of new ice skates to 3887. If they still plan on distributing them equally among their 38 store locations, how many ice skates will each store receive now?
Gemma 2B:
Reasoning: Each store location will receive 3887/38 = <<3887/38=101>>101 ice skates. ### Answer: 101
Expected answer: 3887/38
Correct? No
Problem: You've embarked on reading an epic novel of 4606 pages. You decide to split the reading evenly over 47 days. How many pages do you need to read each day to achieve this?
Gemma 2B:
Reasoning: Each day, you read 4606/47 = <<4606/47=100>>100 pages. ### Answer: 100
Expected answer: 98
Correct? No
Problem: A dressmaking company has 3234 centimeters of fabric. If they used 33 centimeters of fabric to make each skirt, how many skirts can they make in total?
Gemma 2B:
Reasoning: 3234 ÷ 33 = <<3234 ÷ 33=96>>96 skirts can be made from the 3234 centimeters of fabric. ### Answer: 96
Expected answer: 98
Correct? No
Problem: A doctor has spent a total of 4424 minutes talking with patients over the past 56 days. If the doctor spends the same amount of time talking with patients each day, how many minutes does he spend each day?
Gemma 2B:
Reasoning: The doctor spends 4424 ÷ 56 = <<4424 ÷ 56=80>>80 minutes each day talking with patients. ### Answer: 80
Expected answer: 79
Correct? No
Problem: Sam has a total of 3025 marshmallows which he wants to package into bags of 55. How many marshmallows will be in each bag?
Gemma 2B:
Reasoning: Sam can divide 3025 by 55 to get the number of marshmallows in each bag, which is 55. ### Answer: 55
Expected answer: 55
Correct? Yes
Problem: If instead, Sam wants to divide his 3025 marshmallows evenly into 2011 bags, how many marshmallows will be in each bag then?
Gemma 2B:
Reasoning: Sam can divide 3025 by 2011 to get the number of marshmallows in each bag, which is 14.5. ### Answer: 14
Expected answer: 3025/2011
Correct? No
Problem: A jeweler has 1944 pieces of beads and wants to create bracelets using an equal number of beads in each bracelet. If the jeweler ends up making 72 bracelets, how many beads does each bracelet have?
Gemma 2B:
Reasoning: Each bracelet will have 1944 ÷ 72 = <<1944 ÷ 72=27>>27 beads. ### Answer: 27
Expected answer: 27
Correct? Yes
Problem: If the jeweler decided instead to make 495 bracelets using the same 1944 beads, how many beads would each bracelet have then?
Gemma 2B:
Reasoning: Each bracelet will have 1944 ÷ 495 = <<1944 ÷ 495=4>>4 beads. ### Answer: 4
Expected answer: 216/55
Correct? No
Problem: A farmer has 272 carrots and he wants to evenly divide them into 17 bunches for the market. How many carrots will there be in each bunch?
Gemma 2B:
Reasoning: 272 ÷ 17 = <<272 ÷ 17=16>>16 carrots will be in each bunch. ### Answer: 16
Expected answer: 16
Correct? Yes
Problem: In the previous scenario, if the farmer instead had 3176 carrots and still wanted to divide them evenly into 17 bunches, how many carrots would there then be in each bunch?
Gemma 2B:
Reasoning: 3176 ÷ 17 = <<3176 ÷ 17=186>>186 carrots will be in each bunch. ### Answer: 186
Expected answer: 3176/17
Correct? No
Problem: During a winter season, 1740 inches of snow fell over the course of 87 days. On average, how many inches of snow fell each day?
Gemma 2B:
Reasoning: 1740 ÷ 87 = <<1740 ÷ 87 ≈ 20>>20 inches of snow fell each day. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: A carpenter has 80 inches of wood to create a door that requires exactly 80 inches. How many doors can he make?
Gemma 2B:
Reasoning: The carpenter can make 80/8 = <<80/8=10>>10 doors from the wood. ### Answer: 10
Expected answer: 1
Correct? No
Problem: A doctor, in the course of her career, has treated a total of 2691 patients. If this was achieved over a period of 39 years of active service, how many patients did she attend to in each year on average?
Gemma 2B:
Reasoning: The average number of patients treated per year can be calculated by dividing the total number of patients treated by the total number of years worked. Average number of patients per year = 2691 ÷ 39 = <<73.5>>73.5. ### Answer: 73.5
Expected answer: 69
Correct? No
Problem: A farmer harvested 936 cucumbers from his 52 plants. If he got the same number of cucumbers from each plant, how many cucumbers did he get from each plant?
Gemma 2B:
Reasoning: Each plant gave 936/52 = <<936/52=18>>18 cucumbers. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: In the next season, the same farmer harvested a larger crop of 8539 cucumbers from his 52 plants. If he harvested the same number of cucumbers from each plant as in the previous season, how many cucumbers did he get from each plant this time around?
Gemma 2B:
Reasoning: Each plant gave 8539/52 = <<8539/52=165>>165 cucumbers. ### Answer: 165
Expected answer: 8539/52
Correct? No
Problem: A party organizer has 2470 balloons to be equally distributed over 26 parties. How many balloons does each party get?
Gemma 2B:
Reasoning: Each party gets 2470 ÷ 26 = <<2470 ÷ 26=93>>93 balloons. ### Answer: 93
Expected answer: 95
Correct? No
Problem: A manufacturer makes a large batch of 858 milliliters of juice. It plans to distribute this juice equally into 13 bottles. How much juice will each bottle contain?
Gemma 2B:
Reasoning: Each bottle will contain 858 ÷ 13 = <<858 ÷ 13=68.2>>68.2 milliliters of juice. ### Answer: 68.2
Expected answer: 66
Correct? No
Problem: A scooter travels a total of 1600 feet in 64 seconds. How many feet does the scooter travel in each second?
Gemma 2B:
Reasoning: The scooter travels 1600 ÷ 64 = <<1600 ÷ 64=25>>25 feet in each second. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Instead of traveling 1600 feet in 64 seconds, let's assume that the scooter traveled 3984 feet in the same amount of time. How many feet would the scooter travel in each second under this new scenario?
Gemma 2B:
Reasoning: The scooter travels 3984 ÷ 64 = <<3984 ÷ 64=64>>64 feet in each second. ### Answer: 64
Expected answer: 249/4
Correct? No
Problem: A company has manufactured a total of 2907 lamps that are to be divided equally among 51 stores. How many lamps will each store receive?
Gemma 2B:
Reasoning: Each store will receive 2907/51 = <<2907/51=57>>57 lamps. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: Suppose the company instead manufactured a total of 4753 lamps that are to be divided equally among the 51 stores. How many lamps will each store receive now?
Gemma 2B:
Reasoning: Each store will receive 4753/51 = <<4753/51=93>>93 lamps. ### Answer: 93
Expected answer: 4753/51
Correct? No
Problem: A clock ticks 756 times in 18 minutes. How many times does it tick in one minute?
Gemma 2B:
Reasoning: A clock ticks 756/18 = <<756/18=41.11>>41.11 times in one minute. ### Answer: 41.11
Expected answer: 42
Correct? No
Problem: A pillow factory has 930 feathers available to fill their pillows. If they put the same amount of feathers into each pillow and are able to fill 15 pillows, how many feathers are in each pillow?
Gemma 2B:
Reasoning: Each pillow will have 930/15 = <<930/15=62>>62 feathers. ### Answer: 62
Expected answer: 62
Correct? Yes
Problem: An additional pillow factory comes into play where they have 5881 feathers available to fill their pillows. If they also put the same amount of feathers into each pillow and are able to fill 15 pillows just like the first factory, how many feathers would be in each of their pillows?
Gemma 2B:
Reasoning: Each pillow will have 5881/15 = <<5881/15=388>>388 feathers. ### Answer: 388
Expected answer: 5881/15
Correct? No
Problem: A pair of binoculars cost $702. If the cost is divided equally amongst a birdwatching group of 54 people, how much does each person have to contribute?
Gemma 2B:
Reasoning: Each person contributes $702/54 = <<$702/54=13>>13 dollars. ### Answer: $13
Expected answer: 13
Correct? Yes
Problem: After the birdwatching group purchased the binoculars, they found a different pair costing $446 and decided to return the previous set to buy the cheaper set. If the cost is divided equally amongst the 54 people again, how much does each person have to pay now?
Gemma 2B:
Reasoning: Each person contributes $446/54 = <<$446/54=8>>8 dollars. ### Answer: $8
Expected answer: 223/27
Correct? No
Problem: A rope is 510 cm long. If it's divided into 30 equal pieces, how long is each piece?
Gemma 2B:
Reasoning: Each piece is 510/30 = <<510/30=17>>17 cm long. ### Answer: 17
Expected answer: 17
Correct? Yes
Problem: Suppose the rope was actually 9650 cm long instead of 510 cm, and we still want to divide it into 30 equal parts. How long would each piece be now?
Gemma 2B:
Reasoning: Each piece would be 9650/30 = <<9650/30=320>>320 cm long. ### Answer: 320
Expected answer: 965/3
Correct? No
Problem: A pirate ship has a total of 6097 gold coins stowed away, evenly distributed among its 91 chests. How many coins are in each chest?
Gemma 2B:
Reasoning: Each chest has 6097/91 = <<6097/91=68>>68 coins. ### Answer: 68
Expected answer: 67
Correct? No
Problem: A treasure chest contains 2425 gold coins. The coins are to be divided evenly among 97 pirates. How many coins does each pirate receive?
Gemma 2B:
Reasoning: Each pirate receives 2425/97 = <<2425/97≈25>>25 coins. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: Suppose the treasure chest actually contained 5005 gold coins instead of 2425. If these coins are to be divided evenly among the same 97 pirates, how many coins would each pirate receive now?
Gemma 2B:
Reasoning: Each pirate would receive 5005/97 = <<5005/97≈52>>52 coins. ### Answer: 52
Expected answer: 5005/97
Correct? No
Problem: A boat consumes 204 liters of fuel during a journey of 51 hours. How many liters of fuel does the boat consume in one hour?
Gemma 2B:
Reasoning: The boat consumes 204/51 = <<204/51=4>>4 liters of fuel in one hour. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: If the boat only had 100 liters of fuel to start with instead of 204 liters for the same 51-hour journey, how much fuel would the boat consume per hour now?
Gemma 2B:
Reasoning: The boat would still consume 204/51 = <<204/51=4>>4 liters of fuel per hour. ### Answer: 4
Expected answer: 100/51
Correct? No
Problem: A map's scale is such that 8448 kilometers are represented as 96 centimeters. How many kilometers does each centimeter represent on this map?
Gemma 2B:
Reasoning: 1 centimeter represents 8448/96 = <<8448/96=90>>90 kilometers on the map. ### Answer: 90
Expected answer: 88
Correct? No
Problem: A train travels a total of 584 kms evenly over 73 hours. How many kms does it travel each hour?
Gemma 2B:
Reasoning: The total distance traveled is 584/73 = <<584/73=8>>8 kms per hour. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A train travels a total of 584 kms evenly over 71 hours instead of 73. How many kms does it travel each hour now?
Gemma 2B:
Reasoning: The total time is 584/71 = <<584/71=8>>8 hours. Therefore, the train travels 8 kms each hour now.
Expected answer: 584/71
Correct? No
Problem: A teacher assigns a total of 3612 pages of reading over 86 days of school. If the teacher assigns an equal number of pages for every day, how many pages does each student need to read daily?
Gemma 2B:
Reasoning: Each student needs 40 pages of reading daily. ### Answer: 40
Expected answer: 42
Correct? No
Problem: A hat maker makes 1083 hats throughout 57 weeks. If the hat maker makes the same amount of hats every week, how many hats does the hat maker produce weekly?
Gemma 2B:
Reasoning: The hat maker makes 1083/57 = <<1083/57=19>>19 hats weekly. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: In the following year, the hat maker manages to produce a total of 7678 hats over 57 weeks. Maintaining the same pace of production every week as the previous year, how many hats does the hat maker now produce weekly?
Gemma 2B:
### Answer: 142
Expected answer: 7678/57
Correct? No
Problem: A sock manufacturer produced 4218 pairs of socks over 74 days. If they produced the same number of socks each day, how many pairs of socks did they make daily?
Gemma 2B:
Reasoning: 4218/74 = <<4218/74=58>>58 pairs of socks each day. ### Answer: 58
Expected answer: 57
Correct? No
Problem: A jewellery shop makes bracelets, each using 69 small pearls. From 3657 pearls, how many full bracelets can be made?
Gemma 2B:
Reasoning: 3657 ÷ 69 = <<3657 ÷ 69 ≈58>>58 bracelets can be made from 3657 pearls. ### Answer: 58
Expected answer: 53
Correct? No
Problem: A scooter travelled a total distance of 4000 meters in 80 minutes. How many meters did the scooter travel per minute?
Gemma 2B:
Reasoning: The scooter travelled 4000 ÷ 80 = <<4000 ÷ 80=50>>50 meters per minute. ### Answer: 50
Expected answer: 50
Correct? Yes
Problem: In the following week, the same scooter travelled a longer total distance of 5391 meters in the same time period of 80 minutes. How many meters did the scooter travel per minute now?
Gemma 2B:
Reasoning: The scooter travelled 5391 ÷ 80 = <<5391 ÷ 80=68.625>>68.625 meters per minute. ### Answer: 68.625
Expected answer: 5391/80
Correct? No
Problem: A toy factory makes 364 toys in a week. If the factory operates the same number of hours each day for 4 days a week, how many toys are made per day?
Gemma 2B:
Reasoning: The factory makes 364 toys in 4 days, so each day they make 364/4 = <<91>>91 toys. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: If the toy factory changes its operations and now makes 571 toys in a week over the same 4 days, how many toys are now made per day?
Gemma 2B:
Reasoning: The factory makes 571 toys in 4 days, so each day they make 571/4 = <<142.75>>142.75 toys. ### Answer: 142.75
Expected answer: 571/4
Correct? Yes
Problem: A slide that is 4950 millimeters long is divided into 66 equal sections. How many millimeters long is each section?
Gemma 2B:
Reasoning: Each section is 4950/66 = <<4950/66=75>>75 millimeters long. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: If the slide was instead 9823 millimeters long but still divided into 66 equal sections, how many millimeters long would each section be now?
Gemma 2B:
### Answer: 153.75
Expected answer: 893/6
Correct? No
Problem: A dragon hoards 726 gold coins in his cave spread evenly among 66 small chests. How many gold coins are there in each chest?
Gemma 2B:
Reasoning: Each chest contains 726/66 = <<726/66=10>>10 gold coins. ### Answer: 10
Expected answer: 11
Correct? No
Problem: A group of marine biologists count a total of 702 limbs on a group of starfish. If each starfish has 9 limbs, how many starfish are there in the group?
Gemma 2B:
Reasoning: Each starfish has 9 limbs, so there are 702/9 = <<702/9=80>>80 starfish in the group.
Expected answer: 78
Correct? No
Problem: The city park covers an area of 1927 acres. The area is divided into 47 equal sections for various activities and recreational facilities. If each section is of equal size, how large is each section in acres?
Gemma 2B:
Reasoning: Each section is 1927 ÷ 47 = <<1927 ÷ 47 ≈40>>40 acres. ### Answer: 40
Expected answer: 41
Correct? No
Problem: A truck rental company has a total of 744 trucks distributed evenly among 24 branches. How many trucks does each branch have?
Gemma 2B:
Reasoning: Each branch has 744/24 = <<744/24=31>>31 trucks. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: The truck rental company decides to add more trucks and now has a total of 6028 trucks. If they are still distributed evenly among the 24 branches, how many trucks does each branch now have?
Gemma 2B:
Reasoning: Each branch has 6028/24 = <<6028/24=256>>256 trucks. ### Answer: 256
Expected answer: 1507/6
Correct? No
Problem: A farmer has 2820 oranges that he wants to distribute equally into 60 boxes. How many oranges will be in each box?
Gemma 2B:
Reasoning: Each box will have 2820/60 = <<2820/60=47>>47 oranges. ### Answer: 47
Expected answer: 47
Correct? Yes
Problem: A treasure chest contains 7280 gold coins. The coins are evenly distributed in 91 bags. How many gold coins are there in each bag?
Gemma 2B:
Reasoning: Each bag contains 7280/91 = <<7280/91=80>>80 gold coins. ### Answer: 80
Expected answer: 80
Correct? Yes
Problem: What if instead of 7280 gold coins, the treasure chest contained 5857 gold coins, still distributed evenly among the 91 bags? How many gold coins would each bag hold now?
Gemma 2B:
Reasoning: Each bag would still hold 5857/91 = <<5857/91=64>>64 gold coins. ### Answer: 64
Expected answer: 5857/91
Correct? No
Problem: A soap factory produced 1980 bars of soap by using 20 equal-sized molds. What is the number of soap bars produced by each mold?
Gemma 2B:
Reasoning: Each mold produced 1980/20 = <<1980/20=99>>99 soap bars. ### Answer: 99
Expected answer: 99
Correct? Yes
Problem: In the following month, the same soap factory now produced 9741 bars of soap using the same 20 equal-sized molds. How many soap bars are now produced by each mold?
Gemma 2B:
Reasoning: Each mold produced 99*20 = <<99*20=1980>>1980 soap bars. ### Answer: 1980
Expected answer: 9741/20
Correct? No
Problem: A mountain is 1457 meters high and consists of 47 equally tall layers of rock. How tall is each layer of rock?
Gemma 2B:
Reasoning: Each layer of rock is 1457/47 = <<1457/47≈31>>31 meters high.
Expected answer: 31
Correct? Yes
Problem: A 4230 meter long rope gets divided evenly into 90 pieces. How long is each piece of rope?
Gemma 2B:
Reasoning: Each piece of rope is 4230/90 = <<4230/90=50>>50 meters long. ### Answer: 50
Expected answer: 47
Correct? No
Problem: A forest contains 2508 trees evenly distributed over 38 hectares of land. How many trees are there per hectare?
Gemma 2B:
Reasoning: There are 2508 trees/hectare. ### Answer: 66.67
Expected answer: 66
Correct? No
Problem: A backpacker plans a thru-hike of 4526 miles, intending to walk the same distance each day for 62 days. What is the distance, in miles, that the backpacker walks each day?
Gemma 2B:
Reasoning: The backpacker walks 4526 ÷ 62 = <<4526 ÷ 62=75>>75 miles each day. ### Answer: 75
Expected answer: 73
Correct? No
Problem: An alien sends a pulsating signal every 925 seconds. If the signal is organized into 37 equal pulses, how long is each pulse?
Gemma 2B:
Reasoning: Each pulse is 925/37 = <<925/37≈25>>25 seconds long. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: If instead of sending a pulsating signal every 925 seconds, the alien sends it every 9094 seconds, how long would each pulse be if the signal is still organized into 37 equal pulses?
Gemma 2B:
Reasoning: Each pulse would be 925/9094 = <<0.0101>>0.0101 seconds long. ### Answer: 0.0101
Expected answer: 9094/37
Correct? No
Problem: A dragon had collected a hoard of 3010 jewels over a period of 43 years. If he collected evenly throughout these years, how many jewels did he collect each year?
Gemma 2B:
Reasoning: The dragon collected 3010/43 = <<3010/43=70>>70 jewels each year. ### Answer: 70
Expected answer: 70
Correct? Yes
Problem: Let's consider that our dragon, instead of collecting 3010 jewels over 43 years, increased his hoard to 6402 jewels over the same period. If the dragon collected at an even pace throughout these years, how many jewels did he collect each year now?
Gemma 2B:
Reasoning: To find the number of jewels he collected each year, we divide his total collection by the number of years: 6402/43 = <<6402/43=14>>14 jewels each year. ### Answer: 14
Expected answer: 6402/43
Correct? No
Problem: An alien spaceship sends out a pattern of 6699 signals over the course of 87 Earth days. If the spaceship sends the same number of signals each day, how many signals does it send daily?
Gemma 2B:
Reasoning: The number of signals sent each day is constant, which is 6699. ### Answer: 6699
Expected answer: 77
Correct? No
Problem: A water tank contains 2016 liters of water. It is designed to provide enough water for 28 days without replenishment. How much water does the tank provide per day?
Gemma 2B:
Reasoning: The tank provides 2016/28 = <<2016/28=72>>72 liters of water per day. ### Answer: 72
Expected answer: 72
Correct? Yes
Problem: Considering the water tank from the previous problem, suppose it was filled with 8329 liters of water instead of 2016 liters. Without changing the duration of usage, how much water would the tank provide per day now?
Gemma 2B:
Reasoning: The tank would still provide 8329/28 = <<8329/28=306.3>>306.3 liters of water per day. ### Answer: 306.3
Expected answer: 8329/28
Correct? No
Problem: A toy company produced 4686 stuffed animals which were evenly distributed among 66 stores. If each store received the same number of stuffed toys, how many stuffed animals did each store receive?
Gemma 2B:
Reasoning: Each store received 4686/66 = <<4686/66=74>>74 stuffed animals. ### Answer: 74
Expected answer: 71
Correct? No
Problem: A toy car company has 910 toy cars ready for selling and they want to pack them in boxes of 10. How many boxes will they need to pack all the toy cars?
Gemma 2B:
Reasoning: To find the number of boxes, we divide the total number of toy cars by the number of cars in each box. 910 ÷ 10 = <<910 ÷ 10=91>>91 boxes. ### Answer: 91
Expected answer: 91
Correct? Yes
Problem: The toy car company now decides to package the 910 toy cars in larger boxes that can hold 538 cars each. How many boxes will they need now to pack all the toy cars?
Gemma 2B:
Reasoning: To find the number of boxes, we divide the total number of toy cars by the number of cars in each box. 910 ÷ 538 = <<910 ÷ 538=1.74>>1.74 boxes. ### Answer: 1.74
Expected answer: 455/269
Correct? No
Problem: A juice factory produces 1333 bottles of juice and packs them evenly into 43 boxes. How many bottles of juice are there in each box?
Gemma 2B:
Reasoning: Each box contains 1333 ÷ 43 = <<1333 ÷ 43=31>>31 bottles of juice. ### Answer: 31
Expected answer: 31
Correct? Yes
Problem: If the juice factory decides to make less juice and only produces 423 bottles instead, still distributed evenly across the 43 boxes, how many bottles of juice would now be in each box?
Gemma 2B:
Reasoning: Each box would then contain 423 ÷ 43 = <<423 ÷ 43=9>>9 bottles of juice. ### Answer: 9
Expected answer: 423/43
Correct? No
Problem: A generous benefactor donated 741 gifts to a local charity. These gifts were evenly divided between 13 shelters. How many gifts did each shelter receive?
Gemma 2B:
Reasoning: Each shelter received 741 ÷ 13 = <<741 ÷ 13=57>>57 gifts. ### Answer: 57
Expected answer: 57
Correct? Yes
Problem: The benefactor decided to be even more generous and increased the number of gifts to 3697. If these additional gifts were also evenly divided between the 13 shelters, then how many gifts did each shelter receive now?
Gemma 2B:
Reasoning: Each shelter received 3697 ÷ 13 = <<3697 ÷ 13=287>>287 gifts. ### Answer: 287
Expected answer: 3697/13
Correct? No
Problem: A child makes a giant snowball with a volume of 528 cubic feet. The child uses the same amount of snow to make each of 16 smaller snowballs. What is the volume of each smaller snowball in cubic feet?
Gemma 2B:
Reasoning: Each snowball has the same volume as the original snowball, which is 528 cubic feet. ### Answer: 528
Expected answer: 33
Correct? No
Problem: A slide is 728 inches long and has evenly spaced waves every 56 inches. How many waves are there on the slide?
Gemma 2B:
Reasoning: There are 728 ÷ 56 = <<728 ÷ 56=12>>12 waves on the slide. ### Answer: 12
Expected answer: 13
Correct? No