Common Core Standard K.NBT.A.1
This standard covers the following:
Compose and decompose numbers from 11 to 19 Into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.
Problem: A dolphin trainer has a total of 10 dolphins. 3 of them are mature dolphins while the rest are young dolphins. How many young dolphins does the trainer have?
Llama 3 8B:
Reasoning: Let's use subtraction to find the number of young dolphins. The trainer has a total of 10 dolphins, and 3 of them are mature dolphins. To find the number of young dolphins, we subtract the number of mature dolphins from the total number of dolphins: 10 (total dolphins) - 3 (mature dolphins) = 7 So, the trainer has 7 young dolphins. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Sarah had 4 candies. After her friend gave her some more, she had a total of 10 candies. How many candies did her friend give her?
Llama 3 8B:
Reasoning: Let's say the number of candies her friend gave her is x. Since Sarah had 4 candies initially and then had a total of 10 candies, we can set up the equation: 4 + x = 10 To solve for x, we can subtract 4 from both sides of the equation: x = 10 - 4 x = 6 So, her friend gave her 6 candies. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: There are 10 books put together on a shelf. If 4 of them are fantasy novels, how many of the books are science fiction novels?
Llama 3 8B:
Reasoning: Since there are 10 books in total, and 4 of them are fantasy novels, the remaining books are not fantasy novels. To find the number of science fiction novels, we subtract the number of fantasy novels from the total number of books: 10 - 4 = 6. So, there are 6 books that are not fantasy novels, and some of these might be science fiction novels. However, the problem doesn't provide information about the other genres, so we can't determine the exact number of science fiction novels. ### Answer: We can't determine the exact number of science fiction novels without more information.
Expected answer: 6
Correct? No
Problem: Billy has 10 bikes in his shop. If 3 of them are racing bikes, how many of them are mountain bikes?
Llama 3 8B:
Reasoning: Since Billy has 10 bikes in total, and 3 of them are racing bikes, the remaining bikes are not racing bikes. To find the number of mountain bikes, we subtract the number of racing bikes from the total number of bikes: 10 - 3 = 7. Since we don't have any information about the other types of bikes, we can't determine the exact number of mountain bikes. However, we can say that there are 7 bikes that are not racing bikes, and some of these might be mountain bikes. ### Answer: We can't determine the exact number of mountain bikes without more information.
Expected answer: 7
Correct? No
Problem: Barry the bear has some honey jars. If Barry the bear finds 10 more honey jars, he has a total of 16 honey jars. How many honey jars did Barry the bear have to begin with?
Llama 3 8B:
Let's say Barry the bear had x honey jars initially. Since he found 10 more honey jars, the total number of honey jars he has now is x + 10 = 16. To find the number of honey jars Barry the bear had initially, we can subtract 10 from both sides of the equation: x + 10 = 16 x = 16 - 10 x = 6 So, Barry the bear had 6 honey jars initially. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Brad bought 10 kg of potatoes from the store. He had previously consumed 6 kg. How many kg of potatoes does he have left?
Llama 3 8B:
Reasoning: Brad had 10 kg of potatoes initially. He consumed 6 kg, so he has 10 - 6 = 4 kg of potatoes left. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: John had 10 dollars in his wallet. After spending 9 dollars, how much money does he have left in his wallet?
Llama 3 8B:
Reasoning: John had 10 dollars initially and spent 9 dollars, so we subtract 9 from 10 to find out how much he has left. 10 - 9 = 1 John has 1 dollar left in his wallet. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A building has 10 windows in total. 5 of those windows are on its upper floor. How many windows are there on the lower floor?
Llama 3 8B:
Reasoning: Since there are 10 windows in total, and 5 of them are on the upper floor, the number of windows on the lower floor can be found by subtracting the number of windows on the upper floor from the total number of windows. 10 (total windows) - 5 (windows on upper floor) = 5 ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Sean wrote 17 letters. If the number of letters he wrote is equal to the number of letters he wrote yesterday plus 10, how many letters did he write yesterday?
Llama 3 8B:
Let's say the number of letters Sean wrote yesterday is x. Since the number of letters he wrote today is equal to the number of letters he wrote yesterday plus 10, we can set up the equation: x + 10 = 17 Subtracting 10 from both sides gives us: x = 7 So, Sean wrote 7 letters yesterday. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Joyce bought a skirt for 10 dollars and she spent some money to get it altered. The total amount she spent for the skirt, including alterations, was 18 dollars. How much did Joyce spend on the alterations?
Llama 3 8B:
Let's say the amount Joyce spent on alterations is x. We know that the total amount she spent on the skirt, including alterations, is 18 dollars. This can be represented by the equation: 10 + x = 18 To solve for x, we can subtract 10 from both sides of the equation: x = 18 - 10 x = 8 So, Joyce spent 8 dollars on alterations. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Barry had 10 toy cars. He received some more toy cars for his birthday and now he has 16. How many toy cars did he receive for his birthday?
Llama 3 8B:
Reasoning: Barry had 10 toy cars initially and now he has 16. To find out how many toy cars he received for his birthday, we need to subtract the initial number of toy cars from the current number of toy cars. 16 (current number of toy cars) - 10 (initial number of toy cars) = 6 So, Barry received 6 toy cars for his birthday. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A ballerina has just finished a breathtaking performance and has received 10 bouquets of flowers. If we know that the ballerina received one bouquet from her coach, how many bouquets did she receive from her fans?
Llama 3 8B:
Reasoning: The ballerina received a total of 10 bouquets. She received 1 bouquet from her coach. To find the number of bouquets she received from her fans, we subtract the bouquet from her coach from the total number of bouquets: 10 - 1 = 9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: If you start with the number 6 and want to add a number n to it so that it equals 10, what is the value of n?
Llama 3 8B:
Let's set up an equation to represent the situation: 6 + n = 10 To find the value of n, we can subtract 6 from both sides of the equation: n = 10 - 6 n = 4 ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: An elephant walked 8 miles in the morning. It walked a few more miles in the afternoon to total up its distance to 10 miles. How many miles did the elephant walk in the afternoon?
Llama 3 8B:
Reasoning: Let's say the elephant walked x miles in the afternoon. We know that the total distance walked is 10 miles, and the distance walked in the morning is 8 miles. So, we can set up the equation: 8 + x = 10 To solve for x, we can subtract 8 from both sides: x = 10 - 8 x = 2 So, the elephant walked 2 miles in the afternoon. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A robot needs 10 units of energy to start and run for 1 hour, but to keep running for another hour, it needs additional 'w' units of energy. If the total energy required for the robot to run for 2 hours is 13 units, how many extra units of energy does it need to run for the additional hour?
Llama 3 8B:
Let's break it down step by step: 1. The robot needs 10 units of energy to start and run for 1 hour, so the energy required for the first hour is 10 units. 2. To keep running for another hour, it needs additional 'w' units of energy, so the energy required for the second hour is 10 + w units. 3. The total energy required for the robot to run for 2 hours is 13 units, so we can set up the equation: 10 + (10 + w) = 13 Simplifying the equation, we get: 20 + w = 13 Subtracting 20 from both sides, we get: w = -7 So, the robot needs -7 units of energy to run for the additional hour. Note that this is a negative value, which means the robot actually loses energy to run for the additional hour. ### Answer: -7
Expected answer: 3
Correct? No
Problem: There are 19 pairs of ice skates in the shop. If 10 of them are black, how many of them are white?
Llama 3 8B:
Reasoning: Since there are 19 pairs of ice skates in total, and 10 of them are black, the remaining pairs are white. Let's subtract the number of black pairs from the total number of pairs: 19 - 10 = 9 So, there are 9 pairs of white ice skates. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: A princess has 17 magic gemstones. She uses 10 of them to create a magical shield. How many gemstones does she have left?
Llama 3 8B:
Reasoning: The princess starts with 17 gemstones and uses 10 of them to create a magical shield. To find out how many gemstones she has left, we subtract the number of gemstones used (10) from the initial number of gemstones (17). 17 - 10 = 7 The princess has 7 gemstones left. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Tim has 10 roses right now. Later, he receives 'w' more roses, totaling his count up to 11 roses. How many roses did Tim receive?
Llama 3 8B:
Reasoning: Tim initially has 10 roses. After receiving some more roses, he has a total of 11 roses. This means that the number of roses he received is the difference between the total and the initial amount. Let's set up an equation: 10 + w = 11 To solve for w, we can subtract 10 from both sides: w = 11 - 10 w = 1 So, Tim received 1 rose. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: There is 10 person in a house including 1 homeowner. How many guests are there in the house?
Llama 3 8B:
Reasoning: Since there is 1 homeowner, the total number of people in the house is 10. To find the number of guests, we subtract the homeowner from the total number of people. 10 (total people) - 1 (homeowner) = 9 So, there are 9 guests in the house. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Judy has 19 marshmallows in her bag. She had 10 marshmallows initially and then added some more. How many marshmallows did she add in her bag?
Llama 3 8B:
Reasoning: Judy had 19 marshmallows in total, and she initially had 10 marshmallows. To find out how many marshmallows she added, we subtract the initial amount from the total amount: 19 - 10 = 9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: The zoo has 10 monkeys in total. If 9 of them are brown, how many of the monkeys are not brown?
Llama 3 8B:
Reasoning: Since there are 9 brown monkeys, the total number of monkeys minus the number of brown monkeys will give us the number of monkeys that are not brown. 10 (total monkeys) - 9 (brown monkeys) = 1 ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A jeweler has 10 rings on display. He later adds h more rings to his display and the total number of rings becomes 18. How many rings did the jeweler add?
Llama 3 8B:
Reasoning: Let's say the number of rings the jeweler added is h. Initially, the jeweler had 10 rings. After adding h rings, the total number of rings becomes 18. So, we can set up the equation: 10 + h = 18 To solve for h, we can subtract 10 from both sides of the equation: h = 18 - 10 h = 8 So, the jeweler added 8 rings to his display. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A snowman requires 10 lbs of snow for its bottom half. However, the half was initially built with 9 lbs and then more snow was added. How much additional snow was added to the bottom half of the snowman?
Llama 3 8B:
Reasoning: The bottom half of the snowman requires 10 lbs of snow. Initially, it had 9 lbs. To find out how much additional snow was added, we subtract the initial amount from the required amount: 10 - 9 = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A wind speed increases by 3 miles per hour from the morning to the afternoon. If the wind speed in the afternoon is 10 miles per hour, what was the wind speed in the morning?
Llama 3 8B:
Let's say the wind speed in the morning is x miles per hour. Since the wind speed increases by 3 miles per hour from the morning to the afternoon, the wind speed in the afternoon is x + 3 miles per hour. We know that the wind speed in the afternoon is 10 miles per hour, so we can set up the equation: x + 3 = 10 Subtracting 3 from both sides gives us: x = 7 So, the wind speed in the morning was 7 miles per hour. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: Jonny had some candies with him. Then his mom gave him 10 more candies. Now, Jonny has a total of 14 candies. How many candies did Jonny initially have?
Llama 3 8B:
Let's say Jonny initially had x candies. After his mom gave him 10 more candies, he now has a total of 14 candies. We can set up an equation to represent this situation: x + 10 = 14 To solve for x, we can subtract 10 from both sides of the equation: x = 14 - 10 x = 4 So, Jonny initially had 4 candies. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A building has 10 windows in total. If 5 of these are on the ground floor, how many windows are there on the other floors?
Llama 3 8B:
Reasoning: Since there are 10 windows in total, and 5 of them are on the ground floor, the remaining windows are on the other floors. To find the number of windows on the other floors, subtract the number of windows on the ground floor from the total number of windows: 10 - 5 = 5. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A constellation has 10 stars. If the total number of stars in the constellation is 15, then how many more stars were added to it?
Llama 3 8B:
Reasoning: The constellation originally had 10 stars. If the total number of stars is 15, then the number of stars added is 15 - 10 = 5. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Max has 4 scooters. His friend lends him some more and now Max has 10 scooters. How many scooters did his friend lend him?
Llama 3 8B:
Reasoning: Max initially had 4 scooters. After his friend lent him some more, he now has 10 scooters. To find out how many scooters his friend lent him, we need to subtract the initial number of scooters Max had from the total number of scooters he has now. 10 (total scooters) - 4 (initial scooters) = 6 So, his friend lent him 6 scooters. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Sam has a piano with 9 working keys. But his piano isn't complete and needs some additional keys. If a complete piano has 10 keys, how many additional keys does Sam's piano need?
Llama 3 8B:
Reasoning: A complete piano has 10 keys, but Sam's piano has 9 working keys. To find the number of additional keys needed, subtract the number of working keys from the number of keys a complete piano has: 10 - 9 = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A room initially had 10 chairs. After adding some more, the total count lifts to 11 chairs. How many chairs were added?
Llama 3 8B:
Reasoning: Let's say x chairs were added. The total number of chairs is the initial number plus the added number, which is 10 + x. Since the total count is 11, we can set up the equation: 10 + x = 11 Subtracting 10 from both sides gives us: x = 11 - 10 x = 1 So, 1 chair was added. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A farmer has 12 chickens on his farm. He brought 10 from the market but the rest were hatched on the farm. How many chickens were hatched on the farm?
Llama 3 8B:
Reasoning: Let's say the number of chickens hatched on the farm is x. Since the farmer has a total of 12 chickens, the number of chickens brought from the market is 12 - x. We know that the farmer brought 10 chickens from the market, so we can set up the equation: 12 - x = 10 To solve for x, we can add x to both sides of the equation: 12 = 10 + x Subtracting 10 from both sides gives us: 2 = x So, 2 chickens were hatched on the farm. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: At a farm, there are 19 geese in total. In the morning 10 geese were seen at the pond. How many more geese arrived at the pond by the end of the day to make the total number 19?
Llama 3 8B:
Reasoning: Let's say x geese arrived at the pond by the end of the day. Since there were 10 geese seen at the pond in the morning, the total number of geese at the pond by the end of the day is 10 + x. We know that the total number of geese at the farm is 19, so we can set up the equation: 10 + x = 19. To solve for x, we can subtract 10 from both sides of the equation: x = 19 - 10. x = 9. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: A turtle walks a total of 10 feet every morning. If today it started 8 feet ahead of its usual starting position, how far did it walk from that position?
Llama 3 8B:
Reasoning: The turtle walks 10 feet every morning, but today it started 8 feet ahead of its usual starting position. So, it walked 10 + 8 = <<10+8=18>> feet from that position. ### Answer: 18
Expected answer: 2
Correct? No
Problem: In a game of scrabble, Jane has 10 letters. She needs 16 letters to spell out the phrase she has planned to get maximum points. How many more letters does she need?
Llama 3 8B:
Reasoning: Jane has 10 letters, but she needs 16 letters to spell out the phrase. To find out how many more letters she needs, we subtract the number of letters she has from the number of letters she needs: 16 - 10 = 6. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: James has some letters in his mail box. After receiving 7 more letters, he finds that he has a total of 10 letters. How many letters were there in James' mailbox originally?
Llama 3 8B:
Let's say the number of letters James had originally is x. After receiving 7 more letters, he has a total of 10 letters, which means the equation is: x + 7 = 10 To solve for x, we can subtract 7 from both sides of the equation: x = 10 - 7 x = 3 So, there were 3 letters in James' mailbox originally. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A glasses store originally had 10 glasses on display. By the end of the day, the store had 17 glasses on display. How many glasses were added to the display throughout the day?
Llama 3 8B:
Reasoning: The store originally had 10 glasses on display. By the end of the day, the store had 17 glasses on display. To find the number of glasses added, we subtract the original number from the final number: 17 - 10 = 7. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A hotel room initially has 13 towels. After some guests leave, there are now 10 remaining. How many towels had the guest taken with them when they left?
Llama 3 8B:
Reasoning: The hotel room initially had 13 towels. After some guests left, there were 10 towels remaining. To find out how many towels the guests took, we need to subtract the number of towels remaining from the initial number of towels. 13 (initial towels) - 10 (towels remaining) = 3 So, the guests took 3 towels with them when they left. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: Jane keeps her rings in a jewelry box. If she has 15 rings in total and she had already placed 10 rings in the box, how many more rings does she need to put in the box?
Llama 3 8B:
Reasoning: Jane has 15 rings in total and has already placed 10 rings in the box. To find out how many more rings she needs to put in the box, we subtract the number of rings she has already placed from the total number of rings she has. 15 (total rings) - 10 (rings already placed) = 5 So, Jane needs to put 5 more rings in the box. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: John has 10 pillows on his bed. He buys some more and after adding them, he has 11 pillows in total on his bed. How many pillows did John buy?
Llama 3 8B:
Reasoning: Let's say John bought x pillows. Initially, he had 10 pillows. After buying x pillows, he had a total of 11 pillows. This means the number of pillows he had initially (10) plus the number of pillows he bought (x) is equal to the total number of pillows he has now (11). We can set up an equation to represent this: 10 + x = 11 To solve for x, we can subtract 10 from both sides of the equation: x = 11 - 10 x = 1 So, John bought 1 pillow. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: An alien has 10 eyes but 2 of them got damaged in a battle. How many eyes does the alien have left now?
Llama 3 8B:
Reasoning: The alien initially had 10 eyes. 2 of them got damaged, which means 2 eyes are no longer functional. To find the number of eyes the alien has left, we subtract the number of damaged eyes from the initial number of eyes: 10 - 2 = 8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Henry had a certain number of erasers. He then bought 10 more erasers from a store. Now, he has 18 erasers in total. How many erasers did Henry have initially?
Llama 3 8B:
Let's say Henry had x erasers initially. After buying 10 more erasers, he now has a total of 18 erasers. We can set up an equation to represent this situation: x + 10 = 18 To solve for x, we can subtract 10 from both sides of the equation: x = 18 - 10 x = 8 So, Henry had 8 erasers initially. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: Liam had 10 pairs of pants. He donated 6 pairs, and was left with the rest. How many pairs of pants did he keep?
Llama 3 8B:
Reasoning: Liam had 10 pairs of pants initially. He donated 6 pairs, which means he gave away 6/2 = 3 pairs of pants. To find the number of pairs he kept, we subtract the number of pairs he donated from the initial number of pairs: 10 - 6 = 4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A scientist sees 12 birds with his binoculars. He first counted 10 in one tree and then noticed the rest on another branch. How many birds were on the other branch?
Llama 3 8B:
Reasoning: The scientist initially counted 10 birds in one tree. Since he saw a total of 12 birds, the remaining birds must be on the other branch. To find the number of birds on the other branch, we subtract the number of birds in the first tree from the total number of birds: 12 - 10 = 2. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In a sandbox, there are 10 toys buried. When a child stopped playing, it was discovered that there were actually 18 toys. How many toys were missed out or not noticed by the child while playing?
Llama 3 8B:
Reasoning: Initially, there were 10 toys buried in the sandbox. After the child stopped playing, it was discovered that there were actually 18 toys. To find the number of toys missed out or not noticed by the child, we subtract the initial number of toys from the total number of toys found: 18 (total toys found) - 10 (initial toys) = 8 So, 8 toys were missed out or not noticed by the child while playing. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A particular model of a door is installed in 10 rooms of a hotel. If there are 17 rooms with this type of door installed in total, how many more rooms have the same door installed?
Llama 3 8B:
Reasoning: Let's find the number of rooms with the same door installed by subtracting the number of rooms with the door installed initially (10) from the total number of rooms with the door installed (17). 17 - 10 = 7 ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A dolphin trainer trains 10 dolphins. He then decides to train some more and ends up with 12 trained dolphins in total. How many additional dolphins did he train?
Llama 3 8B:
Reasoning: Let's say the number of additional dolphins trained be x. The trainer initially had 10 dolphins, and after training some more, he had 12 dolphins in total. This means the number of additional dolphins trained is the difference between the total number of dolphins and the initial number of dolphins. 12 (total dolphins) - 10 (initial dolphins) = x x = 12 - 10 x = 2 So, the trainer trained 2 additional dolphins. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: Tim had 10 scoops of ice cream. He decided to add some more scoops to his ice cream sundae to make it 11 scoops in total. How many additional scoops of ice cream did he add?
Llama 3 8B:
Reasoning: Tim had 10 scoops initially, and he ended up with 11 scoops. To find the number of scoops he added, we subtract the initial number of scoops from the total number of scoops: 11 - 10 = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A slide in the park is 12 feet tall. If the top part measures 10 feet, what is the length of the lower section of the slide?
Llama 3 8B:
Reasoning: The top part of the slide is 10 feet tall, and the total height of the slide is 12 feet. To find the length of the lower section, we subtract the height of the top part from the total height: 12 feet (total height) - 10 feet (top part) = 2 feet So, the length of the lower section of the slide is 2 feet. ### Answer: 2 feet.
Expected answer: 2
Correct? Yes
Problem: A marshmallow package usually contains 10 pieces. However, after sharing some with her friends, Lila only has 3 marshmallows left. How many marshmallows did she share with her friends?
Llama 3 8B:
Reasoning: Let's say Lila had x marshmallows initially. Since she has 3 left, she must have shared x - 3 marshmallows. Since each package contains 10 marshmallows, x must be a multiple of 10. The closest multiple of 10 to 3 is 10, so Lila had 10 marshmallows initially. She shared 10 - 3 = 7 marshmallows with her friends. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: John has a guitar with 10 strings. Some of the strings broke, but you know that being left with (e + 6) strings meant the guitar still had 10 strings. What is the value of e, i.e., how many strings were broken?
Llama 3 8B:
Reasoning: Let's say the number of strings that broke is e. Then, the number of strings left is 10 - e. We know that the number of strings left is (e + 6), so we can set up the equation: 10 - e = e + 6 Simplifying the equation, we get: 10 - e = e + 6 Subtracting e from both sides gives: 10 = 2e + 6 Subtracting 6 from both sides gives: 4 = 2e Dividing both sides by 2 gives: 2 = e So, the value of e is 2, which means 2 strings were broken. ### Answer: 2
Expected answer: 4
Correct? No
Problem: In the first round of a game, Jacob scored 4 points. At the end of this round, his total points scored was 10. How many points did he score in the second round of the game?
Llama 3 8B:
Reasoning: Let's say Jacob scored x points in the second round. Since he scored 4 points in the first round, his total points scored is the sum of the points he scored in both rounds, which is 4 + x. We know that his total points scored at the end of the first round was 10, so we can set up the equation 4 + x = 10. To solve for x, we can subtract 4 from both sides of the equation, which gives us x = 10 - 4. x = 6 ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: Tommy has 10 balloons, but 9 of them flew away. How many balloons does he have left?
Llama 3 8B:
Reasoning: Tommy had 10 balloons initially, but 9 of them flew away, which means he lost 9 balloons. To find out how many balloons Tommy has left, we subtract the number of balloons that flew away from the initial number of balloons: 10 - 9 = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: In a marine park, the number of dolphins increased by 1 and the total number of dolphins became 10. How many dolphins were there originally in the park?
Llama 3 8B:
Let's say the original number of dolphins was x. The number of dolphins increased by 1, so the new total number of dolphins is x + 1. We know that the new total number of dolphins is 10, so we can set up the equation: x + 1 = 10 Subtracting 1 from both sides gives us: x = 9 So, there were 9 dolphins originally in the park. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: A pirate buried a treasure of gold coins in an island. He buried 'd' gold coins and then buried 5 more coins the next day. If the total number of buried coins is 10, how many coins did the pirate bury the first day?
Llama 3 8B:
Reasoning: Let's say the number of coins the pirate buried the first day is 'd'. The next day, he buried 5 more coins, so the total number of coins is 'd' + 5. We know that the total number of coins is 10, so we can set up the equation: d + 5 = 10 Subtracting 5 from both sides gives us: d = 5 So, the pirate buried 5 coins the first day. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: A firefighter had to climb 10 flights of stairs to put out the fire. If he already climbed 8 floors, how many more floors does he have left to climb?
Llama 3 8B:
Reasoning: The firefighter has to climb 10 flights of stairs in total. He has already climbed 8 flights, so to find out how many more he has left to climb, we subtract the number of flights he has already climbed from the total number of flights: 10 (total flights) - 8 (already climbed) = 2 The firefighter has 2 more flights to climb. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A dragon had 10 scales. But it lost some and now it has 8 scales left. How many scales did the dragon lose?
Llama 3 8B:
Reasoning: The dragon had 10 scales initially, and now it has 8 scales left. To find out how many scales the dragon lost, we need to subtract the number of scales it has left from the initial number of scales. 10 (initial scales) - 8 (scales left) = 2 The dragon lost 2 scales. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A florist has 18 roses in a vase. If she had added 10 roses to what she originally had, how many roses did she have to start with?
Llama 3 8B:
Let's say the florist had x roses initially. Since she added 10 roses to what she originally had, the total number of roses she had is x + 10. We know that the total number of roses she had is 18 + 10 = 28. So, we can set up the equation: x + 10 = 28 Subtracting 10 from both sides gives us: x = 18 So, the florist had 18 roses initially. ### Answer: 18
Expected answer: 8
Correct? No
Problem: On his map, John sees that the distance from his house to the park is 10 miles. If the total distance from his house to the movie theater is 17 miles, how far away is the park from the movie theater?
Llama 3 8B:
Reasoning: Let's call the distance from the park to the movie theater "x". Since John's house is the starting point, we can set up the following equation: Distance from house to park + Distance from park to movie theater = Distance from house to movie theater 10 + x = 17 Subtracting 10 from both sides gives us: x = 7 So, the park is 7 miles away from the movie theater. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: John has 10 keys in total. If 8 of these are house keys, how many of his keys are not house keys?
Llama 3 8B:
Reasoning: John has 10 keys in total, and 8 of them are house keys. To find the number of keys that are not house keys, we subtract the number of house keys from the total number of keys: 10 - 8 = 2. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: You already have a collection of some crayons. You found one more and now you have a total of 10 crayons. How many crayons did you have before you found the extra one?
Llama 3 8B:
Let's say you had x crayons initially. You found one more, so now you have a total of 10 crayons. The equation to represent this situation is: x + 1 = 10 To solve for x, subtract 1 from both sides: x = 10 - 1 x = 9 So, you had 9 crayons before you found the extra one. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: At a party, there were 10 people initially present. Then, some more people arrived and the total number of people at the party increased to 11. How many extra people arrived at the party?
Llama 3 8B:
Reasoning: Let's say x is the number of extra people who arrived at the party. Initially, there were 10 people present. After some more people arrived, the total number of people increased to 11. This means that the number of extra people who arrived is the difference between the new total and the initial number of people. So, we can set up the equation: 10 + x = 11 To solve for x, we can subtract 10 from both sides of the equation: x = 11 - 10 x = 1 This means that 1 extra person arrived at the party. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A dragon hoarded a fresh treasure of 11 gold coins in its lair. If it already had 10 gold coins, how many new coins did the dragon add to his hoard?
Llama 3 8B:
Reasoning: The dragon already had 10 gold coins. It added 11 new coins to its hoard. To find the number of new coins, we subtract the initial amount from the total amount: 11 (new coins) = 10 (initial coins) + 11 (new coins) - 10 (initial coins) = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A bunch of grapes has 10 fruits. If we add 'u' more grapes to it, the total number of grapes equals 16. How many grapes do we need to add to the bunch initially containing 10 grapes to make it 16?
Llama 3 8B:
Reasoning: Let's say the number of grapes we need to add is x. Initially, there are 10 grapes. After adding x grapes, the total number of grapes becomes 16. So, we can set up the equation: 10 + x = 16 To solve for x, we can subtract 10 from both sides: x = 16 - 10 x = 6 So, we need to add 6 grapes to the bunch initially containing 10 grapes to make it 16. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A dairy farmer gathers milk from his cows. He already has 10 liters of milk and collects some more. After gathering the additional amount, he ends up with 12 liters of milk in total. How much milk did he collect this time?
Llama 3 8B:
Reasoning: Let's say the amount of milk he collected is x liters. Since he already had 10 liters and ended up with 12 liters, the total amount of milk he has is 10 + x = 12. To find the value of x, we can subtract 10 from both sides of the equation: x = 12 - 10 = 2. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: In a video game, a player needs 10 coins to unlock a special item. The player already has 9 coins. How many more coins does the player need to unlock the item?
Llama 3 8B:
Reasoning: The player needs 10 coins to unlock the item, and they already have 9 coins. To find out how many more coins they need, we subtract the number of coins they already have from the total number of coins needed: 10 - 9 = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: Samantha has a total of 11 books. If she had 10 books and then gets a few more as a gift, how many books did she receive as a gift?
Llama 3 8B:
Reasoning: Samantha has a total of 11 books. She already had 10 books, so the number of books she received as a gift is the difference between the total and the initial number of books. 11 - 10 = <<11-10=1>>1 ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: John has 18 tubes of toothpaste in total. If he bought 10 of those tubes last week, how many did he have before his purchase?
Llama 3 8B:
Reasoning: Let's say John had x tubes of toothpaste before his purchase. After buying 10 tubes, he now has a total of 18 tubes. We can set up an equation to represent this situation: x + 10 = 18 To solve for x, we can subtract 10 from both sides of the equation: x = 18 - 10 x = 8 So, John had 8 tubes of toothpaste before his purchase. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: In a grocery shop, there are some cucumbers on a shelf. If 10 more cucumbers are added to the shelf, there will be a total of 15 cucumbers. How many cucumbers were originally on the shelf before the addition?
Llama 3 8B:
Let's say the number of cucumbers originally on the shelf is x. After 10 more cucumbers are added, the total number of cucumbers becomes 15. We can set up an equation to represent this situation: x + 10 = 15 To solve for x, we can subtract 10 from both sides of the equation: x = 15 - 10 x = 5 So, there were 5 cucumbers originally on the shelf before the addition. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: In a puzzle competition, Kathy completed 10 puzzles and then continues to solve more. If her final tally for the day is 19 puzzles solved, how many more puzzles did she solve after the initial 10?
Llama 3 8B:
Reasoning: Kathy solved 10 puzzles initially. Her final tally is 19 puzzles, so she solved 19 - 10 = <<19-10=9>>9 more puzzles after the initial 10. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Billy has 10 stuffed animals in total. If 4 of them are teddy bears, how many of the stuffed animals aren't teddy bears?
Llama 3 8B:
Reasoning: Billy has 10 stuffed animals in total, and 4 of them are teddy bears. To find the number of stuffed animals that aren't teddy bears, we subtract the number of teddy bears from the total number of stuffed animals: 10 (total) - 4 (teddy bears) = 6 ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: There are 17 tigers in a wildlife reserve. 10 of them are adults, how many of them are cubs?
Llama 3 8B:
Reasoning: Since there are 17 tigers in total, and 10 of them are adults, the number of cubs can be found by subtracting the number of adults from the total number of tigers. 17 (total tigers) - 10 (adults) = 7 So, there are 7 cubs. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: A magical unicorn has an unknown number of rainbow-colored gems (let's call this number 't'). If he finds 5 more gems, he will have 10 gems in total. How many gems does the unicorn currently have?
Llama 3 8B:
Let's say the unicorn currently has 't' gems. After finding 5 more gems, the unicorn will have a total of 10 gems. We can set up an equation to represent this situation: t + 5 = 10 To solve for 't', we can subtract 5 from both sides of the equation: t = 10 - 5 t = 5 So, the unicorn currently has 5 gems. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Ella is making a strawberry pie that requires 11 strawberries. She already has 10 strawberries. How many more strawberries does she need to make the pie?
Llama 3 8B:
Reasoning: Ella needs 11 strawberries in total, but she already has 10. To find out how many more she needs, we subtract the number she already has from the total number needed: 11 - 10 = 1. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: In a store, there are 10 lamps. 2 of them are floor lamps, and the rest are table lamps. How many table lamps are there in the store?
Llama 3 8B:
Reasoning: Since there are 10 lamps in total, and 2 of them are floor lamps, the number of table lamps can be found by subtracting the number of floor lamps from the total number of lamps. 10 (total lamps) - 2 (floor lamps) = 8 ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: A ballerina has 3 green tutus. She needs to have 10 in total for an upcoming series of performances. How many more tutus does she need to get?
Llama 3 8B:
Reasoning: The ballerina currently has 3 green tutus. She needs a total of 10 tutus. To find out how many more she needs, subtract the number she has from the total number she needs: 10 - 3 = 7 ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: The school bus stops to pick up students. Initially, it has 10 students on board. After picking up some more students, there are 12 students in total on the bus. How many students did the bus pick up?
Llama 3 8B:
Reasoning: Let's say the number of students the bus picked up is x. Initially, there were 10 students on the bus. After picking up x students, there are 12 students in total. We can set up an equation to represent this situation: 10 + x = 12 To solve for x, we can subtract 10 from both sides of the equation: x = 12 - 10 x = 2 So, the bus picked up 2 students. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A penguin lays 2 eggs in the morning and some more in the afternoon. If she laid a total of 10 eggs for the day, how many did she lay in the afternoon?
Llama 3 8B:
Reasoning: Let's say the number of eggs laid in the afternoon is x. Since the penguin laid a total of 10 eggs, we can set up the equation: 2 + x = 10 To solve for x, we can subtract 2 from both sides of the equation: x = 10 - 2 x = 8 So, the penguin laid 8 eggs in the afternoon. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: The school bus initially had 10 students. Then it stops at the next stop and several more students come on board and after that, there are 14 students on the bus. How many students came on the bus at the second stop?
Llama 3 8B:
Reasoning: Let's say the number of students who came on the bus at the second stop is x. Since there were initially 10 students, and after the second stop, there were 14 students, we can set up the equation: 10 + x = 14 Subtracting 10 from both sides gives us: x = 4 So, 4 students came on the bus at the second stop. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: If Billy has 12 pairs of socks and he started with 10 pairs. How many pairs of socks was he given?
Llama 3 8B:
Reasoning: Billy started with 10 pairs of socks and now has 12 pairs. To find the number of pairs he was given, we subtract the initial number of pairs from the current number of pairs: 12 - 10 = 2. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: There are 10 doors on a corridor. One is the janitor's door and rest are room doors. How many room doors are there?
Llama 3 8B:
Reasoning: Since there is one janitor's door, the remaining doors are room doors. To find the number of room doors, we subtract the janitor's door from the total number of doors. Total doors = 10 Janitor's door = 1 Room doors = Total doors - Janitor's door = 10 - 1 = 9 ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: In a library, you found a stack of 14 books. This stack includes 10 books that are from the non-fiction section, the rest are from the fiction section. How many books from the fiction section are present in the stack?
Llama 3 8B:
Reasoning: Let's find the number of books from the fiction section by subtracting the number of books from the non-fiction section from the total number of books. Total number of books = 14 Number of books from non-fiction section = 10 Number of books from fiction section = Total number of books - Number of books from non-fiction section = 14 - 10 = 4 ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A mailman delivers 7 letters in the morning. By the end of the day, he has delivered 10 letters in total. How many letters did he deliver after the morning?
Llama 3 8B:
Reasoning: The mailman delivered 7 letters in the morning, and a total of 10 letters by the end of the day. To find out how many letters he delivered after the morning, we subtract the number of letters delivered in the morning from the total number of letters delivered: 10 (total letters) - 7 (morning letters) = 3 So, the mailman delivered 3 letters after the morning. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: A color palette consists of 10 colors in total. It starts with 8 base colors and some additional colors are added. If the total number of colors remains 10, how many additional colors were added to the 8 base colors palette?
Llama 3 8B:
Reasoning: Let's say the number of additional colors added is x. Since the total number of colors remains 10, we can set up the equation: 8 + x = 10. Subtracting 8 from both sides gives us: x = 10 - 8. Simplifying, we get: x = 2. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A bear ate 9 fish from the river. If the bear needs to have eaten 10 fish in a day to be full, how many more fish does the bear need to catch?
Llama 3 8B:
Reasoning: The bear needs to eat 10 fish to be full, but it has already eaten 9 fish. To find out how many more fish the bear needs to catch, we subtract the number of fish it has already eaten from the number of fish it needs to eat to be full. 10 (fish needed to be full) - 9 (fish already eaten) = 1 The bear needs to catch 1 more fish to be full. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: There are 15 kids at the playground. 10 kids are playing sandbox, the rest are sliding on the slide. How many kids are sliding on the slide?
Llama 3 8B:
Reasoning: Let's find the number of kids who are not playing in the sandbox. There are 15 kids in total, and 10 are playing in the sandbox. So, the number of kids who are not playing in the sandbox is 15 - 10 = 5. These 5 kids are sliding on the slide. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Jay had a total of 10 balls. Unfortunately, 9 of them got lost while he was playing. How many balls did Jay originally have?
Llama 3 8B:
Reasoning: Jay had 9 balls left after losing some, which means he lost 9 balls. To find the original number of balls, we add the 9 lost balls to the 1 ball he still has: 9 + 1 = 10. ### Answer: 10
Expected answer: 1
Correct? No
Problem: In a circus, there are 4 clowns performing in the morning. In the afternoon, some more clowns join them such that the total number of clowns performing at the circus becomes 10. Find out how many clowns joined in the afternoon?
Llama 3 8B:
Reasoning: Let's say the number of clowns that joined in the afternoon is x. Since there are 4 clowns in the morning, the total number of clowns in the afternoon is 4 + x. We know that the total number of clowns in the afternoon is 10, so we can set up the equation: 4 + x = 10 Subtracting 4 from both sides gives us: x = 6 So, 6 clowns joined in the afternoon. ### Answer: 6
Expected answer: 6
Correct? Yes
Problem: A constellation is made up of 10 stars. If one of the stars is hidden behind the moon, how many stars are left to be seen in that constellation?
Llama 3 8B:
Reasoning: The constellation originally had 10 stars. One star is hidden behind the moon, which means it is not visible. To find the number of stars left to be seen, we subtract the number of hidden stars from the total number of stars. 10 (total stars) - 1 (hidden star) = 9 There are 9 stars left to be seen in the constellation. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: A toothpaste brand packs 10 tubes of toothpaste into each box. If a store receives 14 tubes of toothpaste, how many did not come from a full box?
Llama 3 8B:
Reasoning: Since each box contains 10 tubes, the store received 14 tubes, which is 14 mod 10 = 4 more tubes than a full box. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Timmy had a certain number of toy cars. His friend gifted him 5 more, bringing the total number of toy cars to 10. How many toy cars did Timmy have initially?
Llama 3 8B:
Let's say Timmy had x toy cars initially. After his friend gifted him 5 more toy cars, the total number of toy cars became 10. We can set up an equation to represent this situation: x + 5 = 10 To solve for x, we can subtract 5 from both sides of the equation: x = 10 - 5 x = 5 So, Timmy had 5 toy cars initially. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: At a summer beach party, there were 10 beach balls already present. Then, a few more beach balls were added and the total number became 13. How many more beach balls were added at the party?
Llama 3 8B:
Reasoning: Let's say x be the number of beach balls added. The total number of beach balls is the initial number plus the added number, which is 10 + x = 13. To find the value of x, we can subtract 10 from both sides of the equation: x = 13 - 10 = 3. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: James has a total of 10 hours on his watch. He watches a movie for 2 hours and spends the other time chatting online. How long in hours did James chat online?
Llama 3 8B:
Reasoning: James has a total of 10 hours on his watch. He watches a movie for 2 hours, so he has 10 - 2 = 8 hours left to chat online. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: There are 14 balloons at a party. If 10 balloons pop, how many balloons will be left?
Llama 3 8B:
Reasoning: Initially, there are 14 balloons. If 10 balloons pop, we need to subtract 10 from 14 to find the number of balloons left. 14 - 10 = 4 So, there will be 4 balloons left. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: John has a total of 12 beach balls. He just purchased 10 more to add to his collection. How many beach balls did he have originally?
Llama 3 8B:
Reasoning: Let's say John had x beach balls originally. After purchasing 10 more, he now has a total of 12 + 10 = 22 beach balls. We can set up an equation to represent this situation: x + 10 = 22 Subtracting 10 from both sides gives us: x = 12 So, John had 12 beach balls originally. ### Answer: 12
Expected answer: 2
Correct? No
Problem: Harris found 7 books in his backpack. If the total number of books he has is 10, how many books did he originally have in his backpack?
Llama 3 8B:
Reasoning: Let's say Harris originally had x books in his backpack. After finding 7 more books, he now has a total of 10 books. We can set up an equation to represent this situation: x + 7 = 10 To solve for x, we can subtract 7 from both sides of the equation: x = 10 - 7 x = 3 So, Harris originally had 3 books in his backpack. ### Answer: 3
Expected answer: 3
Correct? Yes
Problem: At a party, there are 9 people already present when a few more people arrive to make the total attendance 10. How many people arrived at the party?
Llama 3 8B:
Reasoning: Let's say the number of people who arrived at the party is x. Since there were 9 people already present, the total attendance is 9 + x. We know that the total attendance is 10, so we can set up the equation: 9 + x = 10 To solve for x, we can subtract 9 from both sides of the equation: x = 10 - 9 x = 1 So, 1 person arrived at the party. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A dragon had 10 gold coins in his cave. But a brave knight came and took 8 coins. How many gold coins does the dragon have left now?
Llama 3 8B:
Reasoning: The dragon initially had 10 gold coins. The brave knight took 8 coins, which means the dragon lost 8 coins. To find the number of coins the dragon has left, we subtract 8 from 10: 10 - 8 = 2. The dragon has 2 gold coins left now. ### Answer: 2
Expected answer: 2
Correct? Yes
Problem: A dolphin trainer currently has 9 dolphins and later acquires some additional ones, making the total number of dolphins in his care 10. How many dolphins did the trainer acquire?
Llama 3 8B:
Reasoning: Let's say the number of dolphins the trainer acquired is x. The trainer initially had 9 dolphins, and after acquiring x dolphins, he had a total of 10 dolphins. This can be represented by the equation: 9 + x = 10 To solve for x, we can subtract 9 from both sides of the equation: x = 10 - 9 x = 1 So, the trainer acquired 1 dolphin. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: A butterfly starts her day with 6 flowers and visits r more in the afternoon to get her total daily quota of 10 flowers. How many more flowers does she need to visit in the afternoon?
Llama 3 8B:
Reasoning: The butterfly starts with 6 flowers and needs a total of 10 flowers. To find out how many more flowers she needs to visit, we subtract the number of flowers she already has from her total daily quota: 10 (total daily quota) - 6 (flowers already visited) = 4 So, the butterfly needs to visit 4 more flowers in the afternoon. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Eli has 10 toy cars in the sandbox. If he found a total of 11 toy cars in there, how many toy cars had been buried in the sandbox that he did not initially see?
Llama 3 8B:
Reasoning: Eli initially had 10 toy cars in the sandbox. He found a total of 11 toy cars, which means he found 11 - 10 = <<11-10=1>>1 toy car that he did not initially see. ### Answer: 1
Expected answer: 1
Correct? Yes