Common Core Standard 5.NBT.B.7
This standard covers the following:
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
Problem: A full-grown giraffe has an average height of 40.4 feet. If a baby giraffe is 7.34 feet shorter than the full-grown giraffe, then how tall is the baby giraffe?
Gemma 2B:
Reasoning: The baby giraffe is 40.4 - 7.34 = <<40.4-7.34=33.06>>33.06 feet tall. ### Answer: 33.06
Expected answer: 33.0600000000000
Correct? Yes
Problem: Given the previous scenario but this time, let's say that the full-grown giraffe has a different height of 78 feet. If a baby giraffe is still 7.34 feet shorter than this full-grown giraffe, then how tall is the baby giraffe now?
Gemma 2B:
Reasoning: The baby giraffe is 78 - 7.34 = <<78-7.34=70.66>>70.66 feet tall. ### Answer: 70.66
Expected answer: 70.6600000000000
Correct? Yes
Problem: A scooter was initially priced at $59.9 but is now on sale for $39.3. How much is the discount on the scooter?
Gemma 2B:
Reasoning: The discount is 59.9 - 39.3 = <<59.9-39.3=20.6>>20.6 dollars. ### Answer: 20.6
Expected answer: 20.6000000000000
Correct? Yes
Problem: The scooter store decided to multiply the discount you received, $j, by 15.1 to determine how much they'd donate to a local charity based on your purchase. How much money would be donated to the charity as a result of your scooter purchase?
Gemma 2B:
Reasoning: The amount donated is 0.151j. ### Answer: 0.151j
Expected answer: 311.060000000000
Correct? No
Problem: If instead the scooter was initially priced at $66 before being discounted to $39.3, how much would be the discount on the scooter?
Gemma 2B:
Reasoning: The discount is 66 - 39.3 = <<66-39.3=26.7>>26.7 dollars. ### Answer: 26.7
Expected answer: 26.7000000000000
Correct? Yes
Problem: The length of a slide was initially 71.36 meters. However, due to safety concerns, officials reduced the length by 50.0 meters. What's the new length of the slide?
Gemma 2B:
Reasoning: 71.36 - 50.0 = <<71.36-50.0=21.36>>21.36 meters. The new length of the slide is 21.36 meters.
Expected answer: 21.3600000000000
Correct? Yes
Problem: A farmer collects a certain weight of tomatoes from his farm. The first day he collects 86.7 kg and the second day he collects 57.19 kg. What is the total weight of the tomatoes he collected over the two days?
Gemma 2B:
Reasoning: The total weight of the tomatoes collected over the two days is 86.7 + 57.19 = <<86.7+57.19=143.89>>143.89 kg. ### Answer: 143.89
Expected answer: 143.890000000000
Correct? Yes
Problem: The farmer decides to make tomato sauce and uses up 81.0 kg of the tomatoes he collected. After processing those tomatoes into sauce, how much weight in tomatoes does he have left?
Gemma 2B:
Reasoning: 81.0 kg of tomatoes were used to make sauce, so the farmer has 81.0 - 81.0 = <<0 kg>>0 kg of tomatoes left. ### Answer: 0
Expected answer: 62.8900000000000
Correct? No
Problem: If instead of 57.19 kg, the farmer actually collected 84 kg of tomatoes on the second day, what would be the new total weight of tomatoes he collected over the two days?
Gemma 2B:
Reasoning: If the farmer actually collected 84 kg on the second day, the total weight of tomatoes collected over the two days would be 86.7 + 84 = <<86.7+84=170.7>>170.7 kg. ### Answer: 170.7
Expected answer: 170.700000000000
Correct? Yes
Problem: A farmer sold a total of 111.94 kilograms of tomatoes. If each batch he sold weighs roughly 2.9 kilograms, how many batches of tomatoes did he sell?
Gemma 2B:
Reasoning: 111.94 รท 2.9 = <<111.94 รท 2.9 โ40>>40 batches of tomatoes. ### Answer: 40
Expected answer: 38.6000000000000
Correct? No
Problem: A skirt was originally priced at $75.0 but it is now on sale and its new price is $37.5 less than the original price. What is the sale price of the skirt?
Gemma 2B:
Reasoning: The sale price is 75 - 37.5 = <<75-37.5=37.5>>37.5. ### Answer: $37.5
Expected answer: 37.5000000000000
Correct? Yes
Problem: Instead of the original price being $75.0, assume that the original price of the skirt was $49. How much would the skirt cost after the first discount of $37.5?
Gemma 2B:
Reasoning: After the first discount, the price of the skirt would be 49 - 37.5 = $12.5. ### Answer: $12.5
Expected answer: 11.5000000000000
Correct? No
Problem: On a farm, there are 35.9 acres of wheat fields and 11.5 acres of corn fields. What is the total acreage of wheat and corn fields on the farm?
Gemma 2B:
Reasoning: The total acreage of wheat and corn fields = 35.9 + 11.5 = <<35.9+11.5=47.4>>47.4 acres. ### Answer: 47.4
Expected answer: 47.4000000000000
Correct? Yes
Problem: In addition to the existing wheat and corn fields, the farm has a newly acquired barley field that spans 7.16 acres. What is the total acreage of wheat, corn, and barley fields altogether on the farm now?
Gemma 2B:
Reasoning: The total acreage of wheat, corn, and barley fields = 35.9 + 11.5 + 7.16 = <<35.9+11.5+7.16=54.56>>54.56 acres. ### Answer: 54.56
Expected answer: 54.5600000000000
Correct? Yes
Problem: Suppose instead of the 35.9 acres of wheat in the original calculation, the farm actually has 93 acres of wheat fields. Taking the updated acreage of wheat fields into account and keeping the 11.5 acres of corn fields the same, what would then be the total acreage of wheat and corn fields on the farm?
Gemma 2B:
Reasoning: The total acreage of wheat and corn fields = 35.9 + 93 = <<35.9+93=128.9>>128.9 acres. ### Answer: 128.9
Expected answer: 104.500000000000
Correct? No
Problem: A tank contains 540.38 liters of water, which is divided between 65.9 buckets. Find out how many liters of water is in each bucket?
Gemma 2B:
Reasoning: Each bucket contains 540.38 รท 65.9 โ <<540.38 รท 65.9 โ 8 liters>>8 liters of water. ### Answer: 8
Expected answer: 8.20000000000000
Correct? No
Problem: A TV is sold for $48.21 per month for 35.5 months. What is the total cost of the TV?
Gemma 2B:
Reasoning: The total cost of the TV is 48.21 * 35.5 = <<48.21*35.5=$1720.55>>$1720.55. ### Answer: $1720.55
Expected answer: 1711.45500000000
Correct? No
Problem: A UFO was spotted moving at a speed of 94.83 miles per hour, and then it increased its speed by an additional 2.63 miles per hour. What was the new speed of the UFO?
Gemma 2B:
Reasoning: The UFO's speed increased from 94.83 to 97.46 miles per hour. The new speed is 97.46. ### Answer: 97.46
Expected answer: 97.4600000000000
Correct? Yes
Problem: After increasing its speed, the UFO maintained its new speed for 52.9 hours. How many miles did the UFO travel at its new speed?
Gemma 2B:
Reasoning: The UFO traveled at its new speed for 52.9 hours. The distance traveled at its new speed is 52.9 * 97.46 = <<52.9 * 97.46 = 4980.02>>4980.02 miles. ### Answer: 4980.02
Expected answer: 5155.63400000000
Correct? No
Problem: Suppose that the UFO was originally moving at a speed of 94.83 mph, but then it increased its speed by 72 mph instead of 2.63 mph. What would its new speed be now?
Gemma 2B:
Reasoning: The UFO's speed increased from 94.83 to 97.46 mph. The new speed is 94.83 + 72 = <<94.83+72=166>>166 mph. ### Answer: 166
Expected answer: 166.830000000000
Correct? No
Problem: If a monkey can swing 80.48 meters in one second and it continues to swing at this speed for 73.9 seconds, how far will the monkey have swung in total?
Gemma 2B:
Reasoning: The monkey will swing 80.48 meters in 1 second, so in 73.9 seconds, it will swing 73.9 * 80.48 = <<5880.32>>5880.32 meters. ### Answer: 5880.32
Expected answer: 5947.47200000000
Correct? No
Problem: A strong wind travels a total of 2250.3 km over a period of 57.7 hours. How many kilometers does the wind cover in each hour?
Gemma 2B:
Reasoning: The wind covers 2250.3 km/57.7 h = <<2250.3 km/57.7 h=40.24 km/h>>40.24 km/h of distance in each hour. ### Answer: 40.24
Expected answer: 39.0000000000000
Correct? No
Problem: A Penguin swam 95.34 kilometers to the east and then swam another 41.6 kilometers in the same direction. What is the total distance that the Penguin swam?
Gemma 2B:
Reasoning: The total distance is 95.34 + 41.6 = <<95.34+41.6=136.94>>136.94 kilometers.
Expected answer: 136.940000000000
Correct? Yes
Problem: A park installs a new slide that is 86.42 feet long. After it is extended by another 9.86 feet, how long is the slide then?
Gemma 2B:
Reasoning: The slide is 86.42 + 9.86 = <<86.42+9.86=96.28>>96.28 feet long. ### Answer: 96.28
Expected answer: 96.2800000000000
Correct? Yes
Problem: In the park, there is another identical slide next to the first one which also gets extended by the same 9.86 feet. After this extension, what is the total length of the two slides put together?
Gemma 2B:
### Answer: 175.28
Expected answer: 192.560000000000
Correct? No
Problem: Suppose the park decided to make an alteration to the plan and instead wanted to extend the slide by 81 feet rather than 9.86 feet. How long would the slide be after this extension?
Gemma 2B:
Reasoning: The slide would be 86.42 + 81 = <<86.42+81=167.42>>167.42 feet long. ### Answer: 167.42
Expected answer: 167.420000000000
Correct? Yes
Problem: Throughout the month, an ice cream shop sold 1878.8 gallons of ice cream in 44.0 equally profitable days. How many gallons of ice cream did they sell each day?
Gemma 2B:
Reasoning: 1878.8 รท 44 = <<1878.8 รท 44=42.5>>42.5 gallons of ice cream sold each day. ### Answer: 42.5
Expected answer: 42.7000000000000
Correct? Yes
Problem: Considering the ice cream shop you previously calculated about. If the total amount of ice cream sold (1878.8 gallons) was actually spread over 87 days instead of 44.0 days, how many gallons of ice cream would have been sold each day?
Gemma 2B:
### Answer: 21.5
Expected answer: 21.5954022988506
Correct? Yes
Problem: A book has a total character count of 1540.93 characters and each word takes up about 22.3 characters. How many words should there be in the book?
Gemma 2B:
Reasoning: There are 1540.93/22.3 = <<1540.93/22.3โ65>>65 words in the book.
Expected answer: 69.1000000000000
Correct? No
Problem: A pair of ice skates costs $81.66, and you decide to buy a set of skate guards for an additional $54.6. What is the total cost of the ice skates combined with the skate guards?
Gemma 2B:
Reasoning: The total cost is 81.66 + 54.6 = <<81.66+54.6=136.26>>136.26. ### Answer: 136.26
Expected answer: 136.260000000000
Correct? Yes
Problem: After buying the ice skates and skate guards, you decide to take advantage of a special offer that gives you a discount of $46.83. What would be your new total cost after this discount is applied?
Gemma 2B:
Reasoning: After the discount, the total cost is 136.26 - 46.83 = <<136.26-46.83=89.43>>89.43. ### Answer: 89.43
Expected answer: 89.4300000000000
Correct? Yes
Problem: Suppose instead of the original pair of ice skates costing $81.66, you found a different pair on sale for only $25. If you still buy the skate guards for an additional $54.6, what would be the total cost of these discounted ice skates combined with the skate guards?
Gemma 2B:
Reasoning: The total cost is 25 + 54.6 = <<25+54.6=79.6>>79.6. ### Answer: 79.6
Expected answer: 79.6000000000000
Correct? Yes
Problem: A farmer harvests 36.0 kilograms of strawberries from his strawberry farm. After selling some, he has 22.6 kilograms left. How many kilograms of strawberries did he sell?
Gemma 2B:
Reasoning: He sold 36.0 - 22.6 = <<36.0-22.6=13.4>>13.4 kilograms of strawberries. ### Answer: 13.4
Expected answer: 13.4000000000000
Correct? Yes
Problem: If originally, the farmer had harvested 36.0 kilograms of strawberries and now instead, he sold 12 kilograms of strawberries. How many kilograms of strawberries does he have left now?
Gemma 2B:
Reasoning: He has 36.0 - 12 = <<36.0-12=24>>24 kilograms of strawberries left now. ### Answer: 24
Expected answer: 24.0000000000000
Correct? Yes
Problem: A pillow originally costs $22.88 but is on sale. After the discount, the price is reduced to $14.2. What is the amount of the discount?
Gemma 2B:
Reasoning: The discount is 22.88 - 14.2 = <<22.88-14.2=8.68>>8.68 dollars. ### Answer: 8.68
Expected answer: 8.68000000000000
Correct? Yes
Problem: Consider the same scenario but with a different original cost. If the pillow originally cost $72 instead of $22.88 and its price is reduced to $14.2 after a sale, what would be the amount of the discount now?
Gemma 2B:
### Answer: 49.12
Expected answer: 57.8000000000000
Correct? No
Problem: A bunch of bananas originally weighed 77.8 grams. After removing the peel, which weighed 7.0 grams, what is the new weight of the bananas?
Gemma 2B:
Reasoning: The new weight of the bananas is 77.8 - 7.0 = <<77.8-7.0=70.8>>70.8 grams. ### Answer: 70.8
Expected answer: 70.8000000000000
Correct? Yes
Problem: In the initial situation, the bunch of bananas weighed 79 grams instead of 77.8 grams. After removing the peel, which weighed 7.0 grams as before, what would be the new weight of the bananas this time?
Gemma 2B:
Reasoning: The new weight of the bananas is 79 - 7.0 = <<79-7.0=72>>72 grams. ### Answer: 72
Expected answer: 72.0000000000000
Correct? Yes
Problem: Each page in a book has 15.18 words and the book has a total of 24.0 pages. How many words does the book contain in total?
Gemma 2B:
Reasoning: The total number of words in the book is 24.0 pages * 15.18 words/page = <<24.0 pages * 15.18 words/page=360.48>>360.48 words. ### Answer: 360.48
Expected answer: 364.320000000000
Correct? No
Problem: A camera company spent $530.12 to produce 5.8 identical cameras. How much does the company spend to manufacture each camera?
Gemma 2B:
Reasoning: The cost of producing one camera is $530.12 รท 5.8 = <<$530.12 รท 5.8 โ $92.22>>92.22. Therefore, the company spends $92.22 to manufacture each camera.
Expected answer: 91.4000000000000
Correct? No
Problem: A toy car model is 22.64 cm long. If one centimeter represents an actual length of 86.4 cm on the real car, what is the length of the actual car in centimeters?
Gemma 2B:
Reasoning: The length of the actual car is 22.64 cm x 86.4 cm/cm = <<22.64 cm x 86.4 cm/cm=1970.48 cm>>1970.48 cm. ### Answer: 1970.48
Expected answer: 1956.09600000000
Correct? No
Problem: Two kids are playing in a sandbox. The first kid pours 43.21 pounds of sand on their sandcastle, and the second kid adds 19.57 pounds of sand. How much does the sand on the sandcastle weigh in total?
Gemma 2B:
Reasoning: 43.21 + 19.57 = <<43.21+19.57=62.78>>62.78 pounds of sand on the sandcastle. ### Answer: 62.78
Expected answer: 62.7800000000000
Correct? Yes
Problem: After the kids added sand to their sandcastle, they decided to make it even bigger. They multiplied the original weight of the sand by 46.6. What is the total weight of the sand in the sandcastle after their addition?
Gemma 2B:
### Answer: 46.6 x 43.21 = 198.06
Expected answer: 2925.54800000000
Correct? No
Problem: An online sock retailer has just checked their inventory and found that they have a total of 5600.48 meters of materials left. If it takes 98.6 meters of material to make one pair of socks, how many pairs of socks can they make with the amount of material they have left?
Gemma 2B:
Reasoning: To find the number of pairs of socks they can make, we divide the total amount of material by the amount of material in one pair. 5600.48 รท 98.6 = <<5600.48 รท 98.6 โ 57>>57 pairs of socks can be made with the amount of material they have left. ### Answer: 57
Expected answer: 56.8000000000000
Correct? No
Problem: The distance from the Earth to the Sun changes over the course of the year. On a particular day, an observatory measures the distance to be 56.14 million kilometers. They notice an increase in the following day by 15.25 million kilometers. How far is the Earth from the Sun on the second day in millions of kilometers?
Gemma 2B:
Reasoning: The change in distance is the same in both directions, so it must be 15.25 million kilometers. The distance from the Earth to the Sun on the second day is 56.14 + 15.25 = <<56.14+15.25=71.39>>71.39 million kilometers.
Expected answer: 71.3900000000000
Correct? Yes
Problem: The temperature in the cloud layer dropped from 92.5 degrees Fahrenheit to 57.07 degrees Fahrenheit. How much did the temperature change?
Gemma 2B:
Reasoning: The temperature changed by 92.5 - 57.07 = <<92.5-57.07=35.43>>35.43 degrees Fahrenheit. ### Answer: 35.43
Expected answer: 35.4300000000000
Correct? Yes
Problem: Suppose that for each degree drop in temperature, the cloud loses 97.29 liters of water vapor. How much water vapor would the cloud lose given the temperature change from the previous question?
Gemma 2B:
Reasoning: The amount of water vapor lost would be 35.43 * 97.29 = <<328.24>>328.24 liters. ### Answer: 328.24
Expected answer: 3446.98470000000
Correct? No
Problem: Suppose that instead of dropping from 92.5 degrees Fahrenheit, the temperature in the cloud layer had dropped from 87 degrees Fahrenheit. How much would the temperature change be in this situation?
Gemma 2B:
Reasoning: The temperature changed by 92.5 - 87 = <<92.5-87=5.5>>5.5 degrees Fahrenheit. ### Answer: 5.5
Expected answer: 29.9300000000000
Correct? No
Problem: A Giraffe walks 42.53 miles to the north in the morning then it walks another 28.9 miles to the east in the afternoon. What is the total distance the Giraffe walked in miles?
Gemma 2B:
Reasoning: The total distance the Giraffe walked is 42.53 + 28.9 = <<42.53+28.9=71.43>>71.43 miles.
Expected answer: 71.4300000000000
Correct? Yes
Problem: In a children's sandbox, there are 90.74 kilograms of sand on one side and 95.27 kilograms of sand on the other side. What is the total weight of sand in the sandbox?
Gemma 2B:
Reasoning: The total weight of sand on the two sides is 90.74 + 95.27 = <<90.74+95.27=185.01>>185.01 kilograms. ### Answer: 185.01
Expected answer: 186.010000000000
Correct? No
Problem: A train ticket costs $14.15 and the cost of a meal on the train is $95.07. How much does it cost in total to buy the ticket and eat the meal?
Gemma 2B:
Reasoning: The ticket cost $14.15, and the meal cost $95.07. The total cost to buy the ticket and eat the meal is $14.15 + $95.07 = <<$14.15+95.07=$109.22>>$109.22. ### Answer: $109.22
Expected answer: 109.220000000000
Correct? Yes
Problem: A train ticket costs $14.15 and the cost of a meal on the train is $95.07. After your meal, you decide to buy a cool souvenir train mug for $4.02. How much would it cost in total for the train ticket, meal, and souvenir mug?
Gemma 2B:
Reasoning: The ticket cost $14.15, the meal cost $95.07, and the souvenir mug cost $4.02. The total cost is $14.15 + $95.07 + $4.02 = <<$14.15+95.07+4.02=$109.22>>$109.22. ### Answer: $109.22
Expected answer: 113.240000000000
Correct? No
Problem: The train ticket originally costs $14.15, and in this follow-up question, we're considering what happens if the meal cost is changed to $59. Now, how much is the total cost for the ticket and the meal?
Gemma 2B:
Reasoning: The ticket cost $14.15, and the meal cost $59.07. The total cost to buy the ticket and eat the meal is $14.15 + $59.07 = <<$14.15+59.07=$73.22>>$73.22. ### Answer: $73.22
Expected answer: 73.1500000000000
Correct? No
Problem: One of your friends spends 56.1 dollars every day. In 91.13 days, how much total will your friend have spent?
Gemma 2B:
Reasoning: 56.1 dollars per day x 91.13 days = <<56.1 dollars/day x 91.13 days = 510.06 dollars>>510.06 dollars. ### Answer: 510.06
Expected answer: 5112.39300000000
Correct? No
Problem: Tom wrote 86.7 letters to his friends in one year, and he wrote 17.1 letters to his family throughout the same year. In total, how many letters did Tom write in that year?
Gemma 2B:
Reasoning: Tom wrote 86.7 + 17.1 = <<86.7+17.1=103.8>>103.8 letters in that year. ### Answer: 103.8
Expected answer: 103.800000000000
Correct? Yes
Problem: The average distance from the Earth to the Moon is 44.7 million kilometers. If another celestial body is 16.09 million kilometers closer to Earth than the Moon, what is the average distance from Earth to this celestial body in million kilometers?
Gemma 2B:
Reasoning: The average distance from Earth to the Moon is 44.7 million kilometers. The average distance from Earth to this celestial body is 44.7 million + 16.09 = <<44.7+16.09=60.79>>60.79 million kilometers. ### Answer: 60.79
Expected answer: 28.6100000000000
Correct? No
Problem: A scientist views a galaxy far away through her binoculars. The distance measured is 4299.12 light years and she views it over 85.3 different scopes. What is the approximate distance in light years that she sees through each scope?
Gemma 2B:
Reasoning: The distance viewed through each scope is equal to the original distance divided by the number of scopes. Distance through each scope = 4299.12 light years / 85.3 scopes = <<52.2 light years>>52.2 light years. ### Answer: 52.2
Expected answer: 50.4000000000000
Correct? No
Problem: A water company has 1774.46 cubic meters of water, which needs to be divided equally into 28.9 storage tanks. How many cubic meters of water will each tank contain?
Gemma 2B:
Reasoning: Each tank will contain 1774.46 รท 28.9 โ <<1774.46 รท 28.9 โ 60>>60 cubic meters of water. ### Answer: 60
Expected answer: 61.4000000000000
Correct? No
Problem: A star's observed magnitude brightness is modified by 4.7 units when its intrinsic brightness is 96.46 units. What is the total magnitude brightness of the star when the modifications are added?
Gemma 2B:
Reasoning: The total magnitude brightness is 96.46 + 4.7 = <<96.46+4.7=101.22>>101.22 units. ### Answer: 101.22
Expected answer: 101.160000000000
Correct? No
Problem: A large blanket has a total area of 175.56 square feet and is rectangular. If the length of the blanket is 46.2 feet, what is the width in feet?
Gemma 2B:
Reasoning: The area of a rectangle is equal to the length times the width. 175.56 = 46.2 x width. Solving for width: width = 175.56 รท 46.2 = <<width=3.8>>3.8 feet.
Expected answer: 3.80000000000000
Correct? Yes
Problem: A candy store has 23.4 kilos of strawberry flavored candy and decides to add 98.1 kilos of the same flavor. How many kilos of strawberry flavored candy does the store have now?
Gemma 2B:
Reasoning: 23.4 + 98.1 = <<23.4+98.1=121.5>>121.5 kilos of strawberry flavored candy now. ### Answer: 121.5
Expected answer: 121.500000000000
Correct? Yes
Problem: A window maker is creating a custom rectangular glass pane. If the length is 71.4 cm and the width is 54.58 cm, what is the total area of the window pane in cmยฒ?
Gemma 2B:
Reasoning: The total area of the window pane is equal to the length times the width: 71.4 cm x 54.58 cm = <<71.4 cm x 54.58 cm=3750.24 cmยฒ. ### Answer: 3750.24
Expected answer: 3897.01200000000
Correct? No
Problem: A firefighter uses 37.7 liters of water to extinguish a small fire, then uses additional 85.93 liters to cool down the area, thereby preventing another potential fire. How many liters of water has the firefighter used in total?
Gemma 2B:
Reasoning: The total amount of water used = 37.7 + 85.93 = <<37.7+85.93=123.63>>123.63 liters.
Expected answer: 123.630000000000
Correct? Yes
Problem: A chocolate factory makes 98.3 pounds of a special kind of chocolate in an hour. In 44.2 hours, how many pounds of chocolate does the factory produce?
Gemma 2B:
Reasoning: 98.3 x 44.2 = <<98.3x44.2=4270.6>>4270.6 pounds of chocolate in 44.2 hours. ### Answer: 4270.6
Expected answer: 4344.86000000000
Correct? No
Problem: Over the course of a winter season, a total of 509.39 inches of snowfall was measured. If each snowfall measured 38.3 inches, how many snowfalls were there during the season?
Gemma 2B:
Reasoning: There were 509.39 รท 38.3 = <<509.39 รท 38.3 โ15>>15 snowfalls during the season. ### Answer: 15
Expected answer: 13.3000000000000
Correct? No
Problem: A clock measures 85.44 cm in overall height. The base of the clock takes up 1.58 cm of this height. How tall is the main body of the clock without the base?
Gemma 2B:
Reasoning: The main body of the clock takes up 85.44 cm - 1.58 cm = <<85.44-1.58=83.86 cm>>83.86 cm of the overall height. ### Answer: 83.86
Expected answer: 83.8600000000000
Correct? Yes
Problem: Following from the previous question, let's consider a smaller clock that initially measures 6 cm in height. If it also has a base of 1.58 cm that is removed, what would be the height of the main body of this smaller clock without the base?
Gemma 2B:
### Answer: 4.22 cm
Expected answer: 4.42000000000000
Correct? No
Problem: To make a large batch of hot chocolate, you use 3.91 ounces of cocoa powder per cup. If you are making 12.7 cups of hot chocolate, how much cocoa powder will you need?
Gemma 2B:
Reasoning: 12.7 x 3.91 = <<12.7 x 3.91=48.57>>48.57 ounces of cocoa powder. ### Answer: 48.57
Expected answer: 49.6570000000000
Correct? No
Problem: A toy car started with a speed of 98.9 cm/s. After 1 second, its speed reduced to 28.0 cm/s. What was the change in the toy car's speed?
Gemma 2B:
Reasoning: The change in speed is the difference between the final and initial speeds. Change in speed = 98.9 - 28.0 = <<98.9-28.0=70.9>>70.9 cm/s. ### Answer: 70.9
Expected answer: 70.9000000000000
Correct? Yes
Problem: Following up on the previous problem, the toy car runs on a battery that drains power proportional to the change in its speed per second. The rate is 24.8 mAh for each cm/s change in speed. How much power would the battery have drained in 1 second due to the speed change?
Gemma 2B:
Reasoning: The power drained in 1 second is the product of the rate and the change in speed. Power = 24.8 * 0.07 = <<0.1832>>0.1832 milliwatts. ### Answer: 0.1832
Expected answer: 1758.32000000000
Correct? No
Problem: In the previous scenario, if the toy car's speed after 1 second was modified to 29 cm/s instead of 28.0 cm/s, what would be the new change in the toy car's speed?
Gemma 2B:
Reasoning: The change in speed would still be calculated as 98.9 - 29 = <<98.9-29=70.9>>70.9 cm/s. ### Answer: 70.9
Expected answer: 69.9000000000000
Correct? No
Problem: A turtle travels at a speed of 23.0 km/h. How far will the turtle go in 46.7 hours?
Gemma 2B:
Reasoning: The distance traveled is speed x time. Distance = speed x time = 23.0 km/h x 46.7 h = <<23.0 km/h x 46.7 h=1010.1 km>>1010.1 km. ### Answer: 1010.1 km
Expected answer: 1074.10000000000
Correct? No
Problem: A lion hunter observes two prides in the savannah. He counts 25.5 lions in one pride and 29.9 lions in the other pride (counting half a lion if the lion is a cub). How many lions (including cubs as half) did the lion hunter count in total?
Gemma 2B:
Reasoning: The lion hunter counted 25.5 + 29.9 = <<25.5+29.9=55.4>>55.4 lions in total.
Expected answer: 55.4000000000000
Correct? Yes
Problem: A brown bear ate 50.1 pounds of fish in the morning. Then, it ate another 65.7 pounds in the afternoon. How many total pounds of fish did the brown bear consume in one day?
Gemma 2B:
Reasoning: The total weight of fish eaten in the morning and afternoon was 50.1 + 65.7 = <<50.1+65.7=115.8>>115.8 pounds. ### Answer: 115.8
Expected answer: 115.800000000000
Correct? Yes
Problem: A brown bear ate 50.1 pounds of fish in the morning. Then, it ate another 21 pounds in the afternoon instead of 65.7 pounds. How many total pounds of fish did the brown bear consume in one day now?
Gemma 2B:
Reasoning: The total weight of fish eaten in the morning and afternoon was 50.1 + 21 = <<50.1+21=71.1>>71.1 pounds. ### Answer: 71.1
Expected answer: 71.1000000000000
Correct? Yes
Problem: A bakery initially has 62.06 kilograms of flour. After making a batch of cakes, they are left with 51.59 kilograms of flour. How many kilograms of flour were used to make the cakes?
Gemma 2B:
Reasoning: They used 62.06 - 51.59 = <<62.06-51.59=10.47>>10.47 kilograms of flour to make the cakes.
Expected answer: 10.4700000000000
Correct? Yes
Problem: A mermaid has found a sunken treasure chest containing some gold pieces and a pearl. The gold is worth $86.7 and the pearl is worth $11.99. How much is the total worth of the treasure found by the mermaid?
Gemma 2B:
Reasoning: The total worth of the treasure is the sum of the gold and the pearl, which is $86.7 + $11.99 = <<$86.7+$11.99=$98.69>>$98.69. ### Answer: $98.69
Expected answer: 98.6900000000000
Correct? Yes
Problem: After adding the value of the gold and the pearl, the mermaid decides to give $28.05 worth of her treasure to her best sea creature friend. How much is the value of the remaining treasures after giving away part of it?
Gemma 2B:
Reasoning: After giving away $28.05, the mermaid has $98.69 - $28.05 = <<$70.64>>$70.64 worth of treasures left. ### Answer: $70.64
Expected answer: 70.6400000000000
Correct? Yes
Problem: Suppose instead of the gold being worth $86.7, it was actually worth $71. Now how much is the total value of the treasure the mermaid found?
Gemma 2B:
Reasoning: The total worth of the treasure is still the sum of the gold and the pearl, which is $71. ### Answer: $71
Expected answer: 82.9900000000000
Correct? No
Problem: An astronaut moves a distance of 85.3 meters from the spaceship and then moves another 85.98 meters further out into space. What is the total distance the astronaut moved away from the spaceship?
Gemma 2B:
Reasoning: The astronaut moved 85.3 meters from the spaceship and then moved another 85.98 meters further out into space, so the total distance the astronaut moved away from the spaceship is 85.3 + 85.98 = <<85.3+85.98=171.28>>171.28 meters.
Expected answer: 171.280000000000
Correct? Yes
Problem: A tent has a rectangular floor with a length of 44.68 feet and a width of 49.75 feet. What is the area of the tent's floor in square feet?
Gemma 2B:
Reasoning: The area of a rectangle is equal to the length times the width, so the area of the tent's floor is 44.68 ft * 49.75 ft = <<44.68*49.75=2180.2>>2180.2 square feet. ### Answer: 2180.2
Expected answer: 2222.83000000000
Correct? No
Problem: A craftsman is making a bracelet which requires 10.7 grams of silver for each charm. If the bracelet needs 4.54 charms, how many grams of silver are needed in total for the charms on the bracelet?
Gemma 2B:
Reasoning: 4.54 x 10.7 = <<4.54 x 10.7=47.92>>47.92 grams of silver are needed in total for the charms on the bracelet. ### Answer: 47.92
Expected answer: 48.5780000000000
Correct? No
Problem: A city bus has a capacity of 68.0 passengers. If 10.66 seats are reserved for specific riders, how many seats are available for general riders?
Gemma 2B:
Reasoning: 68.0 - 10.66 = <<68.0-10.66=57.34>>57.34 seats are available for general riders. ### Answer: 57.34
Expected answer: 57.3400000000000
Correct? Yes
Problem: From the previous problem, we knew a city bus has a capacity of 68.0 passengers with 10.66 seats reserved for specific riders. Now, suppose there are an additional 73.24 available seats added to the bus after an upgrade. How many total seats are now available for general riders after the upgrade?
Gemma 2B:
Reasoning: 68.0 + 73.24 = <<68.0+73.24=141.24>>141.24 seats are now available for general riders after the upgrade. ### Answer: 141.24
Expected answer: 130.580000000000
Correct? No
Problem: From the previous problem, a city bus was upgraded to have more seats for general riders. However, now consider that originally, the bus only had a capacity of 28 passengers instead of 68.0, with the same 10.66 seats reserved for specific riders. How many seats would then have been available for general riders before the upgrade?
Gemma 2B:
Reasoning: 28.0 - 10.66 = <<28.0-10.66=17.34>>17.34 seats would have been available for general riders before the upgrade. ### Answer: 17.34
Expected answer: 17.3400000000000
Correct? Yes
Problem: A ballerina performed a dance routine that was exactly 93.5 seconds long. She repeated this routine exactly 72.0 times for her various performances, recitals, and practices. How much total time did she spend performing this specific routine?
Gemma 2B:
Reasoning: The total time spent performing the dance routine was 93.5 seconds, and she repeated it 72.0 times, each performing for the same duration. Therefore, the total time spent performing the routine was 93.5 รท 72.0 = <<1.3125>>1.3125 hours. ### Answer: 1.3125
Expected answer: 6732.00000000000
Correct? No
Problem: A certain type of flower takes up 2833.45 milliliters of water over 30.5 days. On average, how much water does this flower consume every day?
Gemma 2B:
Reasoning: The amount of water consumed can be calculated by dividing the total amount of water taken up by the number of days it takes to be consumed. Therefore, the amount of water consumed every day is: <br>2833.45 ml รท 30.5 days = <<2833.45 รท 30.5 โ 90.24 ml>>90.24 ml of water.
Expected answer: 92.9000000000000
Correct? No
Problem: A factory produces toothbrushes. Each toothbrush costs $71.15 to make. If the factory produces 77.5 toothbrushes in an hour, how much does it cost to manufacture those toothbrushes in that hour?
Gemma 2B:
Reasoning: Each toothbrush costs $71.15, so 77.5 toothbrushes cost 77.5 x $71.15 = <<$5532.625>>$5532.625> $5532.625> in an hour. ### Answer: $5532.625
Expected answer: 5514.12500000000
Correct? No
Problem: An artist uses 98.06 liters of blue paint to create a mural. If the cost of each liter of blue paint is 1.67 dollars, then how much does the volume of paint used in the mural cost?
Gemma 2B:
Reasoning: The cost of 98.06 liters of blue paint is 98.06 x 1.67 = <<98.06 x 1.67=$160.22>>160.22 dollars. ### Answer: 160.22
Expected answer: 163.760200000000
Correct? No
Problem: A chocolate maker purchased a total of 23.76 kg of milk chocolate and 49.8 kg of dark chocolate. What is the total weight in kg of the chocolate purchased?
Gemma 2B:
Reasoning: The total weight of chocolate purchased = 23.76 + 49.8 = <<23.76+49.8=73.56>>73.56 kg. ### Answer: 73.56
Expected answer: 73.5600000000000
Correct? Yes
Problem: The chocolate maker originally thought they had purchased 23.76 kg of milk chocolate, but realized later that they had actually bought 91 kg of milk chocolate. Given that they still purchased 49.8 kg of dark chocolate as initially thought, what would be the new total weight in kg of the chocolate purchased?
Gemma 2B:
Reasoning: The total weight = 23.76 + 49.8 = <<23.76+49.8=73.56>>73.56 kg. ### Answer: 73.56
Expected answer: 140.800000000000
Correct? No
Problem: A bakery sells each cookie for $79.4. If they sell 26.9 cookies, how much will they make?
Gemma 2B:
Reasoning: Each cookie costs $79.4/cookie. 26.9 cookies cost 26.9 x $79.4 = <<26.9 x $79.4=$2207.6>>$2207.6. ### Answer: $2207.6
Expected answer: 2135.86000000000
Correct? No
Problem: A piano is initially tuned to play notes at 74.5 Hz, but its tuning slips, and it now plays notes at 21.6 Hz less. What frequency does the piano now play notes at?
Gemma 2B:
Reasoning: The tuning error is negative, meaning the piano is playing lower than its intended frequency. The frequency the piano plays now is 74.5 - 21.6 = <<74.5-21.6=52.9>>52.9 Hz.
Expected answer: 52.9000000000000
Correct? Yes
Problem: A toy factory makes toy cars. Each car is sold for $10.2. If the factory managed to sell 47.97 cars in a day, how much total amount did the factory make from selling toy cars? Remember, a fraction of a car still makes money!
Gemma 2B:
Reasoning: 47.97 * 10.2 = <<47.97 * 10.2=490.04>>490.04 dollars. ### Answer: 490.04
Expected answer: 489.294000000000
Correct? No
Problem: A superhero can fly 854.0 miles in a day. If he can fly for only 24.4 hours in a day, how many miles can he fly in one hour?
Gemma 2B:
Reasoning: 854.0 รท 24.4 = <<854.0 รท 24.4 โ 33.5>>33.5 miles in one hour. ### Answer: 33.5
Expected answer: 35.0000000000000
Correct? No
Problem: A type of starfish has an average weight of 47.33 grams. A certain aquarium houses 11.07 times the average weight of this starfish. What is the total weight of starfish in the aquarium?
Gemma 2B:
Reasoning: The total weight of the starfish in the aquarium is 11.07 * 47.33 = <<11.07 * 47.33 = 520.22>>520.22 grams. ### Answer: 520.22
Expected answer: 523.943100000000
Correct? No
Problem: A UFO was detected at an altitude of 72.18 km. It then descended to an altitude of 70.7 km. By how many km did the UFO descend?
Gemma 2B:
Reasoning: The UFO descended 72.18 - 70.7 = <<72.18-70.7=1.48>>1.48 km. ### Answer: 1.48
Expected answer: 1.48000000000000
Correct? Yes
Problem: Following the UFO's descent from an altitude of 72.18 km to 70.7 km, it then flew an additional distance calculated by multiplying the distance it descended by 37.2. What is this additional distance flown by the UFO?
Gemma 2B:
### Answer: 37.2 x 1.48 = <<37.2 x 1.48=55.04>>55.04 km
Expected answer: 55.0560000000000
Correct? Yes
Problem: Following the UFO's additional movement, suppose it originally descended from an altitude of 90 km instead of 72.18 km to the same final altitude of 70.7 km. How much would it have descended then?
Gemma 2B:
Reasoning: The UFO would have descended 90 - 70.7 = <<90-70.7=19.3>>19.3 km. ### Answer: 19.3
Expected answer: 19.3000000000000
Correct? Yes
Problem: A region received 41.4 inches of rain evenly over 11.5 days. How many inches of rain did the region receive each day?
Gemma 2B:
Reasoning: Each day received 41.4 รท 11.5 = <<41.4 รท 11.5 โ 3.64>>3.64 inches of rain. ### Answer: 3.64
Expected answer: 3.60000000000000
Correct? Yes
Problem: If the region continued to receive the same amount of rain per day for the following 6.43 days, how many additional inches of rain would the region receive?
Gemma 2B:
Reasoning: The region would receive 3.64 ร 6.43 = <<3.64 ร 6.43 โ 22.87>>22.87 inches of rain. ### Answer: 22.87
Expected answer: 23.1480000000000
Correct? No
Problem: If instead of 11.5 days, the region originally received the total of 41.4 inches of rain over a period of 21 days, how many inches of rain would the region have received each day?
Gemma 2B:
Reasoning: Each day received 41.4 รท 21 = <<41.4 รท 21 โ 2.01>>2.01 inches of rain. ### Answer: 2.01
Expected answer: 1.97142857142857
Correct? No
Problem: If a soap bubble has a circumference of 32.3 cm and another bubble has a circumference of 21.1 cm, what is the total circumference of the two bubbles?
Gemma 2B:
Reasoning: The circumference of the two bubbles is equal, so we can simply add their individual circumferences. 32.3 cm + 21.1 cm = <<32.3 cm + 21.1 cm=53.4 cm>>53.4 cm. ### Answer: 53.4 cm
Expected answer: 53.4000000000000
Correct? Yes
Problem: A robot worker was able to complete 1402.7 units of work over a period of 84.5 hours. If the robot worked at a constant rate, how many units of work did it complete per hour?
Gemma 2B:
Reasoning: The rate of work can be calculated by dividing the total work done by the total time taken. Rate = Work done / Time taken = 1402.7 / 84.5 = <<1402.7 รท 84.5 โ 16.5>>16.5 units of work per hour. ### Answer: 16.5
Expected answer: 16.6000000000000
Correct? Yes
Problem: If the optimal work rate for such robots is 43.9 units per hour, by how much was this robot's work rate short of the optimal rate?
Gemma 2B:
Reasoning: The difference between the optimal rate and the actual rate is: Optimal rate - Actual rate = 16.5 - 43.9 = <<-27.4>>-27.4 units of work per hour. ### Answer: -27.4
Expected answer: 27.3000000000000
Correct? Yes
Problem: Suppose the robot completed the work over 76 hours instead of 84.5 hours, while still accomplishing 1402.7 units of work. What would then be the unit of work completed per hour in this case?
Gemma 2B:
Reasoning: The rate of work is constant, so it remains the same regardless of the time taken. Therefore, the unit of work completed per hour would still be 16.5 units. ### Answer: 16.5
Expected answer: 18.4565789473684
Correct? No
Problem: A toy car that operates on battery can travel a total distance of 5460.48 meters on a single battery charge. If the battery lasts for 86.4 minutes, what is the toy car's speed in meters per minute?
Gemma 2B:
Reasoning: The speed of the toy car can be calculated by dividing the total distance the battery can travel by the time the battery lasts. Speed = Distance/Time = 5460.48 m รท 86.4 min = 63.12 m/min. ### Answer: 63.12
Expected answer: 63.2000000000000
Correct? No
Problem: A robot travels a total distance of 1149.72 meters over a time span of 15.6 minutes. Find out how many meters the robot travels per minute.
Gemma 2B:
Reasoning: The total distance traveled is 1149.72 m. The time span is 15.6 min. The distance traveled per minute is 1149.72/15.6 = <<74.22>>74.22 m per minute. ### Answer: 74.22
Expected answer: 73.7000000000000
Correct? No
Problem: A sleeping bag manufacturer has 2631.68 square feet of material to use, and each sleeping bag requires 51.2 square feet of material. How many sleeping bags can the manufacturer produce with the available material?
Gemma 2B:
Reasoning: The manufacturer can produce 2631.68 รท 51.2 = <<2631.68 รท 51.2=50>>50 sleeping bags with the available material. ### Answer: 50
Expected answer: 51.4000000000000
Correct? No
Problem: Consider that a plane has been traveling at a speed of 60.6 km/hr, and then it speeds up to 83.84 km/hr. What is the combined speed of the plane at both rates?
Gemma 2B:
Reasoning: The combined speed is the sum of the speeds at each rate. Combined speed = 60.6 km/hr + 83.84 km/hr = 144.48 km/hr. ### Answer: 144.48
Expected answer: 144.440000000000
Correct? Yes
Problem: Continuing from the previous scenario, suppose the plane increases its speed again by 89.64 km/hr. What is the total speed of the plane now, considering all three speed rates?
Gemma 2B:
Reasoning: The combined speed at this point is the sum of the speeds at the three rates. Total speed = 60.6 km/hr + 83.84 km/hr + 89.64 km/hr = 234.22 km/hr. ### Answer: 234.22
Expected answer: 234.080000000000
Correct? No
Problem: You have a computer game that you play for 96.6 hours and it consumes 2714.46 MBs of data. How many MBs of data does it consume per hour?
Gemma 2B:
Reasoning: 2714.46 MBs/96.6 h = <<2714.46 MBs/96.6 h=28.33 MBs/h>>28.33 MBs/h. ### Answer: 28.33
Expected answer: 28.1000000000000
Correct? No
Problem: If a kite traveled 7102.88 meters over the course of 86.2 minutes, how many meters does the kite travel per minute?
Gemma 2B:
Reasoning: The average distance traveled per minute is 7102.88/86.2 = <<7102.88/86.2=80.5>>80.5 meters per minute. ### Answer: 80.5
Expected answer: 82.4000000000000
Correct? No
Problem: A juice stand can make 792.78 liters of orange juice using 18.1 kilograms of oranges. If each kilogram of oranges generates the same amount of juice, how many liters of juice does each kilogram of oranges produce?
Gemma 2B:
Reasoning: Each kilogram of oranges generates 18.1/1 = <<18.1/1=18.1>>18.1 liters of juice. Therefore, each kilogram of oranges produces 18.1 liters of juice.
Expected answer: 43.8000000000000
Correct? No
Problem: A skateboard part costs $52.9 and a sticker costs $95.23. What would the total cost be if you buy both items?
Gemma 2B:
Reasoning: The total cost of the skateboard part is 52.9, and the total cost of the sticker is 95.23. The total cost is 52.9 + 95.23 = <<52.9+95.23=148.13>>148.13. ### Answer: 148.13
Expected answer: 148.130000000000
Correct? Yes
Problem: In addition to the skateboard part and the sticker, you also plan on buying a helmet that costs $84.8. What would the total cost be for all three items?
Gemma 2B:
Reasoning: The total cost of the skateboard part is 52.9, the total cost of the sticker is 95.23, and the total cost of the helmet is 84.8. The total cost is 52.9 + 95.23 + 84.8 = <<52.9+95.23+84.8=232.93>>232.93. ### Answer: 232.93
Expected answer: 232.930000000000
Correct? Yes
Problem: Suppose instead of the skateboard part costing $52.9, it actually cost $33. How much would the total cost be if you purchased this skateboard part and the $95.23 sticker?
Gemma 2B:
Reasoning: The total cost would be 33 + 95.23 = <<33+95.23=128.23>>128.23. ### Answer: 128.23
Expected answer: 128.230000000000
Correct? Yes
Problem: An elephant weighs 94.76 tons. After losing weight, it now weighs 42.8 tons. How much weight did the elephant lose?
Gemma 2B:
Reasoning: The elephant lost 94.76 - 42.8 = <<94.76-42.8=52.96>>52.96 tons of weight. ### Answer: 52.96
Expected answer: 51.9600000000000
Correct? No
Problem: A food manufacturer packages two types of cheese, one weighing 92.6 grams and the other 91.7 grams. What is the total weight of the two types of cheese when packaged together?
Gemma 2B:
Reasoning: The total weight of the two types of cheese is 92.6 + 91.7 = <<92.6+91.7=184.3>>184.3 grams. ### Answer: 184.3
Expected answer: 184.300000000000
Correct? Yes
Problem: After packaging together the two types of cheese, the food manufacturer realizes that the package needs to maintain a standard weight of 72.5 grams. How much does the manufacturer need to subtract from the total weight of the combination of the two cheeses to meet this standard?
Gemma 2B:
### Answer: 184.3 - 72.5 = 111.8
Expected answer: 111.800000000000
Correct? Yes
Problem: Let's reconsider the problem by supposing that the weight of the first type of cheese was originally 15 grams instead of 92.6 grams. What would then be the total weight of the two types of cheese when packaged together?
Gemma 2B:
Reasoning: If the weight of the first type of cheese was 15 grams, then the weight of the second type of cheese would be 91.7 - 15 = <<91.7-15=76.7>>76.7 grams. The total weight of the two types of cheese when packaged together would then be 15 + 76.7 = <<15+76.7=91.7>>91.7 grams. ### Answer: 91.7
Expected answer: 106.700000000000
Correct? No
Problem: A boat traveled a total distance of 3762.8 miles in 46.0 hours. If the speed remains constant, how many miles per hour does the boat travel?
Gemma 2B:
Reasoning: Speed = Distance/Time. Speed = 3762.8 รท 46.0 = <<3762.8 รท 46.0 โ 80.0>>80.0 miles per hour. ### Answer: 80.0
Expected answer: 81.8000000000000
Correct? No
Problem: On a farm, there are 77.66 acres of land. If 31.94 acres are used for growing corn, how many acres are not used for growing corn?
Gemma 2B:
Reasoning: 77.66 - 31.94 = <<77.66-31.94=45.72>>45.72 acres are not used for growing corn. ### Answer: 45.72
Expected answer: 45.7200000000000
Correct? Yes
Problem: On a farm, there are 77.66 acres of land. If 31.94 acres are used for growing corn, how many acres are not used for growing corn? If each of the unused acres can yield 6.5 bushels of wheat, how many bushels of wheat can be grown in total?
Gemma 2B:
### Answer: 45.72
Expected answer: 297.180000000000
Correct? No
Problem: In the same farm scenario, suppose there had originally been 81 acres of land instead of 77.66. If still 31.94 acres are used for growing corn, how many acres would now be left unused?
Gemma 2B:
Reasoning: 81 - 77.66 = <<81-77.66=3.34>>3.34 acres would now be left unused. ### Answer: 3.34
Expected answer: 49.0600000000000
Correct? No
Problem: A giraffe is 48.29 feet tall. If the height of its body (not including the neck) is 6.6 feet, how tall is its neck?
Gemma 2B:
Reasoning: The height of the giraffe's body is 48.29 feet, and the height of its neck is 6.6 feet. The height of the neck is 48.29 - 6.6 = <<48.29-6.6=41.69>>41.69 feet.
Expected answer: 41.6900000000000
Correct? Yes
Problem: A jacket requires 96.1 square feet of material to make. If a factory produces 67.9 such jackets, what is the total amount of material required in square feet?
Gemma 2B:
Reasoning: The total amount of material required is 96.1 x 67.9 = <<96.1x67.9=6300.99>>6300.99 square feet. ### Answer: 6300.99
Expected answer: 6525.19000000000
Correct? No
Problem: A rocket needs to reach a specific altitude to deliver a satellite. Currently, it has risen to an altitude of 43.2 km, but it needs to ascend an additional 90.0 km to reach the necessary position. What will be the rocket's altitude when it has ascended the additional distance?
Gemma 2B:
Reasoning: The rocket will reach its final altitude when it reaches the point where its vertical velocity is equal to the negative of its initial vertical velocity. The final altitude is 43.2 + 90.0 = <<43.2+90.0=133.2>>133.2 km.
Expected answer: 133.200000000000
Correct? Yes
Problem: A skateboard travels a total of 3769.24 meters in 48.2 minutes. If it traveled at a constant speed, how many meters does it cover in one minute?
Gemma 2B:
Reasoning: Speed = Distance/Time. Speed = 3769.24 รท 48.2 = <<3769.24 รท 48.2 โ 79.94>>79.94 meters per minute. ### Answer: 79.94
Expected answer: 78.2000000000000
Correct? No
Problem: There are 14.0 marshmallows in one bag and 6.9 marshmallows in another bag. How many marshmallows are there in total?
Gemma 2B:
Reasoning: There are 14.0 + 6.9 = <<14.0+6.9=20.9>>20.9 marshmallows in total. ### Answer: 20.9
Expected answer: 20.9000000000000
Correct? Yes
Problem: If each marshmallow in both bags was replicated the exact number of times equal to the total of marshmallows in the two bags, how many marshmallows would there then be in total?
Gemma 2B:
### Answer: 35.8
Expected answer: 436.810000000000
Correct? No
Problem: If there were 90 marshmallows in the first bag instead of 14.0, and 6.9 marshmallows in the second bag, how many marshmallows would there be in total?
Gemma 2B:
Reasoning: There are 90 + 6.9 = <<90+6.9=96.9>>96.9 marshmallows in total. ### Answer: 96.9
Expected answer: 96.9000000000000
Correct? Yes
Problem: A Stegosaurus dinosaur weighs 92.8 tons. A Triceratops dinosaur is 69.3 tons heavier than a Stegosaurus. How heavy is the Triceratops dinosaur?
Gemma 2B:
Reasoning: The Triceratops dinosaur weighs 92.8 + 69.3 = <<92.8+69.3=162.1>>162.1 tons. ### Answer: 162.1
Expected answer: 162.100000000000
Correct? Yes
Problem: After the Triceratops dinosaur, the heaviest dinosaur is a type that is 59.6 times the weight of the Triceratops. How heavy is this dinosaur?
Gemma 2B:
Reasoning: The weight of the Triceratops dinosaur is 162.1 x 59.6 = <<162.1 x 59.6=900.4>>900.4 tons. ### Answer: 900.4
Expected answer: 9661.16000000000
Correct? No
Problem: Suppose instead of the Triceratops being 69.3 tons heavier than the Stegosaurus, it was only 26 tons heavier. How heavy would the Triceratops be then?
Gemma 2B:
Reasoning: The Triceratops would weigh 92.8 - 26 = <<92.8-26=66.8>>66.8 tons. ### Answer: 66.8
Expected answer: 118.800000000000
Correct? No
Problem: During a firefighting mission, a firefighter's oxygen tank starts with 97.3 liters of oxygen. After entering the burning building, he uses an additional 22.1 liters of oxygen from a supplementary bottle. How much total oxygen does he have for this mission?
Gemma 2B:
Reasoning: After using the supplementary bottle, the firefighter has 97.3 + 22.1 = <<97.3+22.1=119.4>>119.4 liters of oxygen. ### Answer: 119.4
Expected answer: 119.400000000000
Correct? Yes
Problem: After using the oxygen from the supplementary bottle, the firefighter finds another backup oxygen source that adds an additional 21.46 liters of oxygen. How much total oxygen does he now have for the mission, including the backup source?
Gemma 2B:
### Answer: 140.86
Expected answer: 140.860000000000
Correct? Yes
Problem: Originally, the firefighter's oxygen tank did not start with 97.3 liters, but with 36 liters of oxygen instead. After adding the 22.1 liters of oxygen from the supplementary bottle, how much total oxygen does he have for the mission at that point?
Gemma 2B:
Reasoning: After adding the 22.1 liters, the firefighter has 36 + 22.1 = <<36+22.1=58.1>>58.1 liters of oxygen. ### Answer: 58.1
Expected answer: 58.1000000000000
Correct? Yes
Problem: A jeweler melts 6.9 ounces of gold to make a ring. If one ounce of gold costs $60.77, what is the total cost of the gold used to make the ring?
Gemma 2B:
Reasoning: One ounce of gold costs $60.77, so 6.9 ounces of gold cost 60.77 x 6.9 = <<60.77 x 6.9 = $400.37>>$400.37. ### Answer: $400.37
Expected answer: 419.313000000000
Correct? No
Problem: A scooter travels at a constant speed of 95.1 kilometers per hour. How far will the scooter travel, in kilometers, if it keeps this speed for 4.8 hours?
Gemma 2B:
Reasoning: Distance = Speed x Time. Distance = 95.1 km/h x 4.8 h = <<95.1 km/h x 4.8 h=444.48 km>>444.48 km. ### Answer: 444.48
Expected answer: 456.480000000000
Correct? No
Problem: A cat runs at a speed of 37.7 feet per second. How far will the cat run in 12.29 seconds?
Gemma 2B:
Reasoning: The cat will run for 12.29 seconds at a speed of 37.7 feet per second. Distance = speed x time = 37.7 ft/s x 12.29 s = <<37.7 ft/s x 12.29 s = 460.2 ft>>460.2 feet. ### Answer: 460.2
Expected answer: 463.333000000000
Correct? No
Problem: A snowball that was 15.8 inches in diameter was rolled and grew at a constant rate until it was 30.8 times its original size. What is the size of the snowball now?
Gemma 2B:
Reasoning: The snowball grew at a constant rate, so its diameter increased by a factor of 30.8. Therefore, the diameter of the snowball now is 15.8 * 30.8 = <<15.8*30.8=480.8>>480.8 inches. ### Answer: 480.8
Expected answer: 486.640000000000
Correct? No
Problem: A doll-making factory produces 16.54 identical dolls in an hour. If they operate for 87.1 hours, then how many dolls are being produced during this period?
Gemma 2B:
Reasoning: The factory produces 16.54 dolls/hour x 87.1 hours = <<16.54 dolls/hour x 87.1 hours = 1480.56 dolls>>1480.56. ### Answer: 1480.56
Expected answer: 1440.63400000000
Correct? No
Problem: The length of the chain on one side of a swing is 89.5 cm. The length of the chain on the other side of the swing is 70.77 cm. What is the total length of the chain used for the swing?
Gemma 2B:
Reasoning: The total length of the chain is the sum of the two lengths of the chains. Total length = 89.5 cm + 70.77 cm = <<89.5+70.77=150.27>>150.27 cm. ### Answer: 150.27
Expected answer: 160.270000000000
Correct? No
Problem: A candy store had 30.83 pounds of chocolate candies in its stock. After selling some candies, the store was left with 29.0 pounds of chocolate candies. How many pounds of candies were sold?
Gemma 2B:
Reasoning: The store sold 30.83 - 29.0 = <<30.83-29.0=1.83>>1.83 pounds of candies. ### Answer: 1.83
Expected answer: 1.83000000000000
Correct? Yes
Problem: The candy store manager realized that they had made an error in their original calculation, and the store was actually initially stocked with 30.83 pounds of chocolate candies but ended up with 15 pounds after some sales. How many pounds of candies were really sold?
Gemma 2B:
Reasoning: The store started with 30.83 pounds, and they sold 1.83 pounds, resulting in a final stock of 30.83 - 1.83 = <<30.83-1.83=29.0>>29.0 pounds of candies sold. ### Answer: 29.0
Expected answer: 15.8300000000000
Correct? No
Problem: You bought a watch for $58.36, but it was on sale and you got a discount of $19.96. How much did you end up paying for the watch?
Gemma 2B:
Reasoning: The sale price was 58.36 - 19.96 = <<58.36-19.96=38.40>>38.40. So, you paid 58.36 - 38.40 = <<58.36-38.40=29.96>>29.96 for the watch.
Expected answer: 38.4000000000000
Correct? No
Problem: If one minute of observing time with a powerful telescope costs $6.9, how much would it cost for 63.2 minutes of observation time?
Gemma 2B:
Reasoning: One minute of observation time costs $6.9, so 63.2 minutes would cost $6.9 x 63.2 = <<$40.08>>$40.08. ### Answer: $40.08
Expected answer: 436.080000000000
Correct? No
Problem: Two comets traveled a total distance in space. The first comet covered a distance of 32.52 million kilometers, and the second traveled 27.3 million kilometers. Combining the two, what is the total distance both comets traveled?
Gemma 2B:
Reasoning: The total distance covered = 32.52 + 27.3 = <<32.52+27.3=59.8>>59.8 million kilometers. ### Answer: 59.8
Expected answer: 59.8200000000000
Correct? Yes
Problem: Reconsidering the two comets, suppose this time the first comet covered a distance of 61 million kilometers instead of 32.52 million kilometers, and the second traveled the same distance as before, i.e. 27.3 million kilometers. Combining the two, what is the total distance both comets traveled now?
Gemma 2B:
Reasoning: The total distance covered = 61 + 27.3 = <<61+27.3=88.3>>88.3 million kilometers. ### Answer: 88.3
Expected answer: 88.3000000000000
Correct? Yes
Problem: A tiger's territory is a rectangle measuring 50.53 km by 82.82 km. What's the total area of the tiger's territory in square kilometers?
Gemma 2B:
Reasoning: The total area of the territory is 50.53 km * 82.82 km = <<50.53 km * 82.82 km=4340.04 km^2>>4340.04 km^2. ### Answer: 4340.04
Expected answer: 4184.89460000000
Correct? No
Problem: In a certain puzzle game, each puzzle piece is worth 93.11 points. If a player collects 42.7 pieces, how many points would they have in total?
Gemma 2B:
Reasoning: Each piece is worth 93.11 points, so 42.7 pieces x 93.11 points/piece = <<42.7 x 93.11=400.07>>400.07 points. ### Answer: 400.07
Expected answer: 3975.79700000000
Correct? No
Problem: A wizard crafted a magical potion from two ingredients. The first ingredient has a quantity of 56.9 units and the second one has a quantity of 59.42 units. How many units are there in total in the potion?
Gemma 2B:
Reasoning: The total quantity in the potion is 56.9 + 59.42 = <<56.9+59.42=116.32>>116.32 units. ### Answer: 116.32
Expected answer: 116.320000000000
Correct? Yes
Problem: Suppose the wizard initially started with a different quantity of the first ingredient, having 51 units instead of 56.9 units. How many units would there be in total in the potion then?
Gemma 2B:
Reasoning: 51 + 59.42 = <<51+59.42=110.42>>110.42 units. ### Answer: 110.42
Expected answer: 110.420000000000
Correct? Yes